Academic Programs Catalog

College of Natural Science

Department of Mathematics

Jeffrey Schenker, Chairperson

Mathematics, the identification and classification of structure in the world around us, is vital to all branches of knowledge and all human endeavors. The richness of mathematical structures inspires study both for their intrinsic beauty and for their ability to describe our world. The department offers a wide variety of courses that range from extensions of high school mathematics to the very frontiers of mathematical knowledge.

The department packages its courses into flexible programs that can adapt to many different career paths. Students with an interest in mathematics are encouraged, regardless of their preferred major, to contact the Department of Mathematics prior to registration to discuss course options. Students may benefit from advanced placement, participation in Honors courses designed to prepare motivated students for graduate study, or from pursuit of a degree in Actuarial Science.

Undergraduate Programs

The Department of Mathematics offers degree opportunities leading to a Bachelor of Arts or a Bachelor of Science in Mathematics, a Bachelor of Arts or a Bachelor of Science, Mathematics, Advanced, a Bachelor of Science in Mathematics-Secondary Education, a Bachelor of Science in Computational Mathematics, and a Bachelor of Science in Actuarial Science. The Bachelor of Arts degree programs require a higher level of foreign language competency, while the Bachelor of Science degree programs require science proficiency beyond that established by the college.

Graduates with the Bachelor of Art and Bachelor of Science degrees find a wide range of career options in industry and teaching fields. The Bachelor of Arts and Bachelor of Science programs prepare students for continuing study in top graduate schools or for the pursuit of careers in mathematically intensive fields. The Bachelor of Science in Mathematics-Secondary Education prepares students to teach mathematics at the secondary level. The Bachelor of Science in Computational Mathematics prepares students for either for graduate study or for careers that rely upon computational models and tools.

Students with a Bachelor of Science degree in Actuarial Science are sought after by insurance companies, banks, investment firms, government agencies, and businesses that weigh the financial consequences of risk. Course work prepares students for the Society of Actuaries examinations as well as the Validation by Educational Experience course work necessary to become an Associate of the Society of Actuaries.

A Minor in Mathematics and a Minor in Actuarial Science are also available.


Actuarial Science

Requirements for the Bachelor of Science Degree in Actuarial Science

  1. The University requirements for bachelor’s degrees as described in the Undergraduate Education section of this catalog; 120 credits, including general elective credits, are required for the Bachelor of Science degree in Actuarial Science.

    The University’s Tier II writing requirement for the Actuarial Science major is met by completing Mathematics 309 or 496.  Those courses are referenced in item 3. below.

    Students who are enrolled in the College of Natural Science may complete the alternative track to Integrative Studies in Biological and Physical Sciences that is described in item 1. under the heading Graduation Requirements in the College statement.  Certain courses referenced in requirement 3. below may be used to satisfy the alternative track.
  2. The requirements of the College of Natural Science for the Bachelor of Science degree.

    The credits earned in certain courses referenced in requirement 3. below may be counted toward College requirements as appropriate.
  3. The following requirements for the major:
a. One course of at least 3 credits in biological science, entomology, microbiology, physiology, plant biology, or integrative biology.
b. One of the following groups of courses (8 or 10 credits):
(1) CEM 141 General Chemistry 4
CEM 142 General and Inorganic Chemistry 3
CEM 161 Chemistry Laboratory I 1
(2) CEM 151 General and Descriptive Chemistry 4
CEM 152 Principles of Chemistry 3
CEM 161 Chemistry Laboratory I 1
(3) CEM 181H Honors Chemistry I 4
CEM 182H Honors Chemistry II 4
CEM 185H Honors Chemistry Laboratory I 2
(4) LB 171 Principles of Chemistry I 4
LB 171L Introductory Chemistry Laboratory I 1
LB 172 Principles of Chemistry II 3
c. One of the following groups of courses (8 or 10 credits):
(1) PHY 183 Physics for Scientists and Engineers I 4
PHY 184 Physics for Scientists and Engineers II 4
(2) PHY 193H Honors Physics I – Mechanics 4
PHY 294H Honors Physics II – Electromagnetism 4
(3) LB 273 Physics I 4
LB 274 Physics II 4
(4) PHY 173 Studio Physics for Scientists and Engineers I 5
PHY 174 Studio Physics for Scientists and Engineers II 5
d. One of the following groups of courses (7 or 8 credits):
(1) MTH 132 Calculus I 3
MTH 133 Calculus II 4
(2) LB 118 Calculus I 4
LB 119 Calculus II 4
(3) MTH 152H Honors Calculus I 3
MTH 153H Honors Calculus II 4
e. One of the following courses (4 credits):
LB 220 Calculus III 4
MTH 234 Multivariable Calculus 4
MTH 254H Honors Multivariable Calculus 4
f. One of the following courses (3 credits):
MTH 235 Differential Equations 3
MTH 340 Ordinary Differential Equations I 3
g. One of the following courses (1 credit):
MTH 490 Directed Studies 1
MTH 491B Teamwork Experience 1
h. All of the following courses ( 24 credits):
MTH 309 Linear Algebra I 3
MTH 360 Theory of Mathematical Interest 3
MTH 361 Financial Mathematics for Actuaries I 3
MTH 458 Financial Mathematics for Actuaries II 3
STT 441 Probability and Statistics I: Probability 3
STT 455 Actuarial Models I 3
STT 456 Actuarial Models II 3
STT 459 Construction and Evaluation of Actuarial Models 3
i. One of the following courses (3 credits):
MTH 457 Introduction to Financial Mathematics 3
STT 442 Probability and Statistics II: Statistics 3
j. One of the following courses (3 credits):
MTH 491A Actuarial Internship 3
MTH 496 Capstone in Mathematics (W) 3
k. All of the following courses (19 credits):
ACC 230 Survey of Accounting Concepts 3
EC 201 Introduction to Microeconomics 3
EC 202 Introduction to Macroeconomics 3
FI 311 Financial Management 3
FI 321 Theory of Investments 3
l. One of the following courses (4 credits:
CSE 231 Introduction to Programming I 4
CMSE 201 Computational Modeling and Data Analysis I 4
STT 180 Introduction to Data Science 4


Computational and Applied Mathematics - Bachelor of Science

Requirements for the Bachelor of Science Degree in Computational and Applied Mathematics

  1. The University requirements for bachelor's degrees as described in the Undergraduate Education section of this catalog; 120 credits, including general elective credits, are required for the Bachelor of Science degree in Computational and Applied Mathematics.

    The University's Tier II writing requirement for the Computational and Applied Mathematics major is met by completing Mathematics 309 or 310 and 496.  Those courses are referenced in item 3. c. (1) below.

    Students who are enrolled in the College of Natural Science may complete the alternative track to Integrative Studies in Biological and Physical Sciences that is described in item 1. under the heading Graduation Requirements in the College statement.  Certain courses referenced in requirement 3. below may be used to satisfy the alternative track.
  2. The requirements of the College of Natural Science for the Bachelor of Science degree.

    The credits earned in certain courses referenced in requirement 3. below may be counted toward College requirements as appropriate.
  3. The following requirements for the major:
    a.       The following courses outside the Department of Mathematics (a minimum of 28 credits):
    (1) One course of at least 3 credits in biological science, entomology, microbiology, physiology, plant biology, or integrative biology. 
    (2) One course from each of the following groups (8 or 10 credits):
                                  (a) CEM 141 General Chemistry 4
    CEM 151 General and Descriptive Chemistry 4
    CEM 181H Honors Chemistry I 4
                          LB 171 Principles of Chemistry I 4
    (b) CEM 142 General and Inorganic Chemistry 3
    CEM 152 Principles of Chemistry  3
    CEM 182H Honors Chemistry II 4
    LB 172 Principles of Chemistry II 3
    (c) CEM 161 Chemistry Laboratory I 1
    CEM 185H Honors Chemistry Laboratory 2
    LB 171L Introductory Chemistry Laboratory I 1
    (3) One course from each of the following groups (8 or 10 credits):
    (a) PHY 183 Physics for Scientists and Engineers I 4
    LB 273 Physics I 4
    PHY 173 Studio Physics for Scientists and Engineers I 5
    PHY 193H Honors Physics I - Mechanics 4
    (b) LB 274 Physics II 4
    PHY 184 Physics for Scientists and Engineers I 4
    PHY 174 Physics II 5
    PHY 294H Honors Physics II - Electromagnetism 4
              (4) At least 1 credit in laboratory in biological science, chemistry, entomology, microbiology, physiology, plant biology, or integrative biology.
                            (5) One of the following groups of courses (8 credits):
                                  (a) CSE 231 Introduction to Programming I  4
    CSE   232 Introduction to Programming II 4
    (b) CMSE 201 Computational Modeling and Data Analysis I 4
                          CMSE 202 Computational Modeling and Data Analysis II 4
    b. The following courses from the Department of Mathematics:
    (1) One course from each of the following groups (11 or 12 credits):
                         (a) MTH 132 Calculus I 3
    MTH 152H Honors Calculus I 3
    LB 118 Calculus I 4
    (b) MTH 133 Calculus II 4
    MTH 153H Honors Calculus II 4
                                  LB 119 Calculus II 4
    (c) MTH 234 Multivariable Calculus 4
    MTH 254H Honors Multivariable Calculus 4
    LB 220 Calculus III 4
    (2) One of the following groups (4 or 7 credits):
    (a) MTH 299 Transitions 4
    MTH 309 Linear Algebra I 3
    (b) MTH 299 Transitions 4
    MTH 314 Matrix Algebra with Computational  3
    (c) MTH 317H Honors Linear Algebra 4
    (3) Completion of one of the following groups of courses (12 credits):
    (a) Differential Equations and Numerical Methods
    (i) One of the following courses:
    MTH 235 Differential Equations 3
    MTH  340 Ordinary Differential Equations I 3
    MTH 347H Honors Ordinary Differential Equations 3
    (ii) One of the following courses:
    MTH 320 Analysis I 3
    MTH 327H Honors Introduction to Analysis 3
    (iii) The following course:
    MTH 451 Numerical Analysis I 3
    (iv) One of the following courses:
    MTH 441 Ordinary Differential Equations II 3
    MTH 442 Partial Differential Equations 3
    MTH 452 Numerical Analysis II 3
    (b) Probability and Discrete Mathematics
    (i) The following course:
    STT 441 Probability and Statistics I: Probability 3
    (ii) One of the following courses:
    MTH 320 Analysis I  3
    MTH 327H Honors Introduction to Analysis 3
    (iii) Both of the following courses:
    MTH 481 Discrete Mathematics I 3
    MTH 482 Discrete Mathematics II 3
    (c) Applied Algebra and Discrete Mathematics 
    (i) One of the following courses:
                        MTH 310 Abstract Algebra I and Number Theory 3
    MTH 418H Honors Algebra I 3
    (ii) All of the following courses:
    MTH 416 Introduction to Algebraic Coding 3
    MTH  481 Discrete Mathematics I 3
    MTH  482 Discrete Mathematics II 3
    (d) Mathematical Machine Learning
    (i) One of the following courses:
    MTH  320 Analysis I 3
    MTH  327H  Honors Introduction to Analysis 3
    (ii) All of the following courses:
    MTH  483 Mathematical Machine Learning 3
    STT  441 Probability and Statistics I: Probability 3
    STT  442 Probability and Statistics II: Statistics 3
    (4) Both of the following courses (6 credits):
    MTH  415 Applied Linear Algebra 3
    MTH 496 Capstone in Mathematics (W) 3
    (5) Complete five elective courses from the following lists of electives with at least two from the Mathematics Electives list.  All courses listed may only be used if not being used to meet a course requirement in requirement (3) above (15 to 20 credits):
    Mathematics Electives
    MTH  310 Abstract Algebra 3
    Or
    MTH  418H  Honors Algebra I 3
    MTH  320 Analysis I 3
    or 
    MTH  327H  Honors Introduction to Analysis  3
    MTH  411 Abstract Algebra II 3
    or 
    MTH  419H  Honors Algebra II 3
    MTH  416 Introduction to Algebraic Coding 3
    MTH  417 Topics in Number Theory 3
    MTH  421 Analysis II 3
    or 
    MTH  429H  Honors Real Analysis 3
    MTH  425 Complex Analysis 3
    MTH  441 Ordinary Differential Equations II 3
    MTH  442 Partial Differential Equations 3
    MTH  451 Numerical Analysis I 3
    MTH  452 Numerical Analysis II 3
    MTH  457 Introduction to Financial Mathematics
    MTH  461 Metric and Topological Spaces 3
    MTH  481 Discrete Mathematics I 3
    MTH  482 Discrete Mathematics II 3
    MTH  483 Mathematical Machine Learning 3
    Other 400-level or above MTH courses approved by the Department of Mathematics.
    Other Electives
    Approval of the College of Engineering is required to enroll in all CSE or ECE courses listed. 
    CMSE 404 Introduction to Machine Learning 3
        CSE  402 Biometrics and Pattern Recognition 3
    CSE  404 Introduction to Machine Learning 3
    CSE  425 Introduction to Computer Security 3
    CSE  450 Translation of Programming Languages 3
    CSE  460 Computability and Formal Language Theory 3
    CSE  472 Computer Graphics 3
    CSE  482 Big Data Analysis 3
    ECE  305 Electromagnetic Fields and Waves I 4
    ECE  366 Introduction to Signal Processing 3
    ECE  405 Electromagnetic Fields and Waves II 4
    ECE  446 Biomedical Signal Processing 3
    ECE  447 Introduction to Biomedical Imaging 3
    ECE  449 Fundamentals of Acoustics 3
    ECE  457 Communication Systems 3
    PHY  410 Thermal and Statistical Physics 3
    PHY  415 Methods of Theoretical Physics 4
    PHY  422 Classical Mechanics II 3
    PHY  471 Quantum Physics I 3
    PHY  472 Quantum Physics II 3
    PHY  480 Computational Physics 3
    PHY  481 Electricity and Magnetism I 3
    PHY  482 Electricity and Magnetism II 3
    STT  381 Fundamentals of Data Science Methods 4
    STT  441 Probability and Statistics I: Probability 3
    STT  442 Probability and Statistics II: Statistics 3
    STT  455 Actuarial Models I 3
    STT  461 Computations in Probability and Statistics 3
    STT  465 Bayesian Statistical Methods 3
    Other 400-level or above courses approved by the Department of Mathematics.


Computational and Applied Mathematics - Bachelor of Arts

Requirements for the Bachelor of Arts Degree in Computational and Applied Mathematics

  1. The University requirements for bachelor's degrees as described in the Undergraduate Education section of this catalog; 120 credits, including general elective credits, are required for the Bachelor of Arts degree in Computational and Applied Mathematics.

    The University's Tier II writing requirement for the Computational and Applied Mathematics major is met by completing Mathematics 309 or 310 and 496.  Those courses are referenced in item 3.c.(1) below.

    Students who are enrolled in the College of Natural Science may complete the alternative track to Integrative Studies in Biological and Physical Sciences that is described in item 1. under the heading Graduation Requirements in the College statement.  Certain courses referenced in requirement 3. below may be used to satisfy the alternative track.
  2. The requirements of the College of Natural Science for the Bachelor of Arts degree.

    The credits earned in certain courses referenced in requirement 3. below may be counted toward College requirements as appropriate.
  3. The following requirements for the major:
    a.  The following courses outside the Department of Mathematics (a minimum of 27 credits):
    (1) One course of at least 3 credits in biological science, entomology, microbiology, physiology, plant biology, or integrative biology. 
    (2) One of the following courses (4 credits):
    CEM 141 General Chemistry 4
    CEM 151 General and Descriptive Chemistry 4
    LB 171 Principles of Chemistry I 4
    CEM 181H Honors Chemistry I 4
    (3) One of the following courses (4 or 5 credits): 
    PHY 183 Physics for Scientists and Engineers I 4
    LB 273 Physics I 4
    PHY 173 Studio Physics for Scientists and Engineers I 5
    PHY 193H Honors Physics I - Mechanics 4
              (4) At least 2 credits in laboratory in biological science, chemistry, entomology, microbiology, physiology, plant biology, or integrative biology.
                            (5) A minimum of 6 credits beyond the university requirements in courses from the College of Arts and Letters or the College of Social Science approved by the student's academic advisor.
                               (6) One of the following groups of courses (8 credits):
                                  (a) CSE 231 Introduction to Programming I  4
    CSE   232 Introduction to Programming II 4
    (b) CMSE 201 Computational Modeling and Data Analysis I 4
                          CMSE 202 Computational Modeling and Data Analysis II 4
    b. The following courses from the Department of Mathematics:
    (1) One course from each of the following groups (11 or 12 credits):
                         (a) MTH 132 Calculus I 3
    MTH 152H Honors Calculus I 3
    LB 118 Calculus I 4
    (b) MTH 133 Calculus II 4
    MTH 153H Honors Calculus II 4
                                  LB 119 Calculus II 4
    (c) MTH 234 Multivariable Calculus 4
    MTH 254H Honors Multivariable Calculus 4
    LB 220 Calculus III 4
    (2) One of the following groups (4 or 7 credits):
    (a) MTH 299 Transitions 4
    MTH 309 Linear Algebra I 3
    (b) MTH 299 Transitions 4
    MTH 314 Matrix Algebra with Computational  3
    (c) MTH 317H Honors Linear Algebra 4
    (3) Completion of one of the following groups of courses (12 credits):
    (a) Differential Equations and Numerical Methods
    (i) One of the following courses:
    MTH 235 Differential Equations 3
    MTH  340 Ordinary Differential Equations I 3
    MTH 347H Honors Ordinary Differential Equations 3
    (ii) One of the following courses:
    MTH 320 Analysis I 3
    MTH 327H Honors Introduction to Analysis 3
    (iii) The following course:
    MTH 451 Numerical Analysis I 3
    (iv) One of the following courses:
    MTH 441 Ordinary Differential Equations II 3
    MTH 442 Partial Differential Equations 3
    MTH 452 Numerical Analysis II 3
    (b) Probability and Discrete Mathematics
    (i) The following course:
    STT 441 Probability and Statistics I: Probability 3
    (ii) One of the following courses:
    MTH 320 Analysis I  3
    MTH 327H Honors Introduction to Analysis 3
    (iii) Both of the following courses:
    MTH 481 Discrete Mathematics I 3
    MTH 482 Discrete Mathematics II 3
    (c) Applied Algebra and Discrete Mathematics 
    (i) One of the following courses:
                        MTH 310 Abstract Algebra I and Number Theory 3
    MTH 418H Honors Algebra I 3
    (ii) All of the following courses:
    MTH 416 Introduction to Algebraic Coding 3
    MTH  481 Discrete Mathematics I 3
    MTH  482 Discrete Mathematics II 3
    (d) Mathematical Machine Learning
    (i) One of the following courses:
    MTH  320 Analysis I 3
    MTH  327H  Honors Introduction to Analysis 3
    (ii) All of the following courses:
    MTH  483 Mathematical Machine Learning 3
    STT  441 Probability and Statistics I: Probability 3
    STT  442 Probability and Statistics II: Statistics 3
    (4) Both of the following courses (6 credits):
    MTH  415 Applied Linear Algebra 3
    MTH 496 Capstone in Mathematics (W) 3
    (5) Complete five elective courses from the following lists of electives with at least two from the Mathematics Electives list.  All courses listed may only be used if not being used to meet a course requirement in requirement (3) above (15 to 20 credits):
    Mathematics Electives
    MTH  310 Abstract Algebra 3
    Or
    MTH  418H  Honors Algebra I 3
    MTH  320 Analysis I 3
    or 
    MTH  327H  Honors Introduction to Analysis  3
    MTH  411 Abstract Algebra II 3
    or 
    MTH  419H  Honors Algebra II 3
    MTH  416 Introduction to Algebraic Coding 3
    MTH  417 Topics in Number Theory 3
    MTH  421 Analysis II 3
    or 
    MTH  429H  Honors Real Analysis 3
    MTH  425 Complex Analysis 3
    MTH  441 Ordinary Differential Equations II 3
    MTH  442 Partial Differential Equations 3
    MTH  451 Numerical Analysis I 3
    MTH  452 Numerical Analysis II 3
    MTH  457 Introduction to Financial Mathematics
    MTH  461 Metric and Topological Spaces 3
    MTH  481 Discrete Mathematics I 3
    MTH  482 Discrete Mathematics II 3
    MTH  483 Mathematical Machine Learning 3
    Other 400-level or above MTH courses approved by the Department of Mathematics.
    Other Electives
    Approval of the College of Engineering is required to enroll in all CSE or ECE courses listed. 
    CMSE 404 Introduction to Machine Learning 3
        CSE  402 Biometrics and Pattern Recognition 3
    CSE  404 Introduction to Machine Learning 3
    CSE  425 Introduction to Computer Security 3
    CSE  450 Translation of Programming Languages 3
    CSE  460 Computability and Formal Language Theory 3
    CSE  472 Computer Graphics 3
    CSE  482 Big Data Analysis 3
    ECE  305 Electromagnetic Fields and Waves I 4
    ECE  366 Introduction to Signal Processing 3
    ECE  405 Electromagnetic Fields and Waves II 4
    ECE  446 Biomedical Signal Processing 3
    ECE  447 Introduction to Biomedical Imaging 3
    ECE  449 Fundamentals of Acoustics 3
    ECE  457 Communication Systems 3
    PHY  410 Thermal and Statistical Physics 3
    PHY  415 Methods of Theoretical Physics 4
    PHY  422 Classical Mechanics II 3
    PHY  471 Quantum Physics I 3
    PHY  472 Quantum Physics II 3
    PHY  480 Computational Physics 3
    PHY  481 Electricity and Magnetism I 3
    PHY  482 Electricity and Magnetism II 3
    STT  381 Fundamentals of Data Science Methods 4
    STT  441 Probability and Statistics I: Probability 3
    STT  442 Probability and Statistics II: Statistics 3
    STT  455 Actuarial Models I 3
    STT  461 Computations in Probability and Statistics 3
    STT  465 Bayesian Statistical Methods 3
    Other 400-level or above courses approved by the Department of Mathematics.


Mathematics - Bachelor of Science

Requirements for the Bachelor of Science Degree in Mathematics

  1. The University requirements for bachelor's degrees as described in the Undergraduate Education section of this catalog; 120 credits, including general elective credits, are required for the Bachelor of Science degree in Mathematics.

    The University's Tier II writing requirement for the Mathematics major is met by completing Mathematics 396 or 496 and Mathematics 309 or 310 or 418H.  Those courses are referenced in item 3.c. below.

    Students who are enrolled in the College of Natural Science may complete the alternative track to Integrative Studies in Biological and Physical Sciences that is described in item 1. under the heading Graduation Requirements in the College statement.  Certain courses referenced in requirement 3. below may be used to satisfy the alternative track.
  2. The requirements of the College of Natural Science for the Bachelor of Science degree.

    The credits earned in certain courses referenced in requirement 3. below may be counted toward College requirements as appropriate.
    1. The following requirements for the major:
      a. The following courses outside the Department of Mathematics (19 to 23 credits):
      (1) One course of at least 3 credits in biological science, entomology, microbiology, physiology, plant biology, or integrative biology. At least 2 credits in laboratory in biological science, chemistry, entomology, microbiology, physics, physiology, plant biology, or integrative biology.
      (2) One course from each of the following groups (8 or 10 credits):
      (a) CEM 141 General Chemistry 4
      CEM 151 General and Descriptive Chemistry 4
      CEM 181H Honors Chemistry I 4
      LB 171 Principles of Chemistry I 4
      (b) CEM 142 General and Inorganic Chemistry 3
      CEM 152 Principles of Chemistry 3
      CEM 182H Honors Chemistry II 4
      LB 172 Principles of Chemistry II 3
      (c) CEM 161 Chemistry Laboratory I 1
      CEM 185H Honors Chemistry Laboratory I 2
      LB 171L Introductory Chemistry Laboratory I 2
      (3) One of the following groups of courses (8 to 10 credits):
      (a) PHY 183 Physics for Scientists and Engineers I 4
      PHY 184 Physics for Scientists and Engineers II 4
      (b) PHY 193H Honors Physics I - Mechanics 4
      PHY 294H Honors Physics II - Electromagnetism 4
      (c) LB 273 Physics I 4
      LB 274 Physics II 4
      (d) PHY 173 Physics I 5
      PHY 174 Physics II 5
      b. First–year competency in a foreign language
      or
      For students who have been admitted to the teacher certification program, completion of the Professional Education Courses in the Department of Teacher Education.
      c. A total of 36 to 43 credits in courses in the Department of Mathematics including
      (36 to 43 credits):
      (1) One course from each of the following two groups (7 or 8 credits):
      (a) MTH 132 Calculus I 3
      MTH 152H Honors Calculus 3
      LB 118 Calculus I 4
      (b) MTH 133 Calculus II 4
      MTH 153H Honors Calculus II 4
      LB 119 Calculus II 4
      (2) One of the following courses (4 credits):
      MTH 234 Multivariable Calculus 4
      MTH 254H Honors Multivariable Calculus 4
      LB 220 Calculus III 4
      (3) One of the following two groups (4 or 7 credits):
      (a) MTH 299 Transitions 4
      MTH 309 Linear Algebra I 3
      (b) MTH 317H Honors Linear Algebra 4
      (4) The following course (3 credits):
      MTH 496 Capstone in Mathematics (W) 3
      The completion of Mathematics 496 fulfills the department's capstone course requirement. Students in the teacher certification program may substitute Mathematics 396 Capstone in Mathematics for Secondary Education for Mathematics 496.
      (5) A total of 27 credits in approved Mathematics courses at the 300-level or above. At least four of the approved Mathematics courses must be at the 400-level or above.  Mathematics 415 may not be used to fulfill the requirements of the major. One course from a list of approved cognates available in the Department of Mathematics may be used to satisfy this requirement. Statistics and Probability 430 is required for students in the teacher certification program. Either Statistics and Probability 430 or 441 may be substituted for one 300-level mathematics course. The 300-400 level courses as referenced in item 3. c. partially satisfy this requirement. Students with credit in MTH 235 prior to entering the Mathematics major, only need 24 credits to fulfill this requirement.
      (6) One of the following courses (3 credits):
      MTH 310 Abstract Algebra I and Number Theory 3
      MTH 418H Honors Algebra I 3
      (7) One of the following courses (3 credits):
      MTH 320 Analysis I 3
      MTH 327H Honors Introduction  to Analysis 3
      (8) One of the following courses (3 credits):
      MTH 330 Higher Geometry 3
      MTH 340 Ordinary Differential Equations I 3
      MTH 347H Honors Ordinary Differential Equations 3
      MTH 432 Axiomatic Geometry 3
      Students in the teacher certification program must take either Mathematics 330 or 432. Students not in the teacher certification program must take Mathematics 340 or 347H. Students not in the teacher certification program with prior credit in Mathematics 235 may substitute an approved 400-level Mathematics course for Mathematics 340.
      (9) One course selected from two of the following groups (6 credits):
      (a) MTH 411 Abstract Algebra II 3
      MTH 414 Linear Algebra II 3
      MTH 416 Introduction to Algebraic Coding 3
      MTH 417 Topics in Number Theory 3
      MTH 419H Honors Algebra II 3
      (b) MTH 421 Analysis II 3
      MTH 425 Complex Analysis 3
      MTH 428H Honors Complex Analysis 3
      MTH 429H Honors Real Analysis 3
      MTH 442 Partial Differential Equations 3
      (c) MTH 441 Ordinary Differential Equations II 3
      MTH 451 Numerical Analysis I 3
      MTH 457 Introduction to Financial Math 3
      MTH 461 Metric and Topological Spaces 3
      MTH 481 Discrete Mathematics I 3
      Students with credit in MTH 418H may not use MTH 411 to satisfy this requirement.
      d. One of the following courses (4 credits):
      CMSE 202 Computational Modeling and Data Analysis II 4
      CSE 231 Introduction to Programming I 4


Mathematics - Bachelor of Arts

Requirements for the Bachelor of Arts Degree in Mathematics

  1. The University requirements for bachelor's degrees as described in the Undergraduate Education section of this catalog; 120 credits, including general elective credits, are required for the Bachelor of Arts degree in Mathematics.

    The University's Tier II writing requirement for the Mathematics major is met by completing Mathematics 396 or 496 and Mathematics 309 or 310 or 418H.  Those courses are referenced in items 3. c. (1) and 3. c. (3) below.

    Students who are enrolled in the College of Natural Science may complete the alternative track to Integrative Studies in Biological and Physical Sciences that is described in item 1. under the heading Graduation Requirements in the College statement.  Certain courses referenced in requirement 3. below may be used to satisfy the alternative track.
  2. The requirements of the College of Natural Science for the Bachelor of Arts degree.

    The credits earned in certain courses referenced in requirement 3. below may be counted toward College requirements as appropriate.
  3. The following requirements for the major:
    a. The following courses outside the Department of Mathematics (11 or 12 credits):
    (1) One course of at least 3 credits in biological science, entomology, microbiology, physiology, plant biology, or  integrative biology. At least 2 credits in laboratory in biological science, chemistry, entomology, microbiology, physics, physiology, plant biology, or integrative biology.
    (2) One of the following courses (4 or 5 credits): 4
    LB 273 Physics I 5
    PHY 173 Studio Physics for Scientists and Engineers I 4
    PHY 183 Physics for Scientists and Engineers I 4
    PHY 193H Honors Physics I - Mechanics
    (3) One of the following courses (4 credits): 4
    CEM 141 General Chemistry 4
    CEM 151 General and Descriptive Chemistry 4
    CEM 181H Honors Chemistry I 4
    LB 171 Principles of Chemistry I
    b. Second–year competency in a foreign language
    or
    For students who have been admitted to the teacher certification program, first–year competency in a foreign language and completion of the Professional Education Courses in the Department of Teacher Education.
    c. A total of 36 to 43 credits in courses in the Department of Mathematics  including (36 to 43 credits):
    (1) One course from each of the following two groups (6 to 8 credits): 3
    (a) MTH 132 Calculus I 3
    MTH 152H Honors Calculus 4
    LB 118 Calculus I 4
    (b) MTH 133 Calculus II 3
    MTH 153H Honors Calculus II 4
    LB 119 Calculus II
    (2) One of the following courses (4 credits):
    MTH 234 Multivariable Calculus 4
    MTH 254H Honors Multivariable Calculus 4
    LB 220 Calculus III 4
    (3) One of the following two groups (4 or 7 credits):
    (a) MTH 299 Transitions 4
    MTH 309 Linear Algebra I 3
    (b) MTH 317H Honors Linear Algebra 4
    (4) The following course (3 credits):
    MTH 496 Capstone in Mathematics (W) 3
    The completion of Mathematics 496 fulfills the department's capstone course requirement. Students in the teacher certification program may substitute Mathematics 396 Capstone in Mathematics for Secondary Education for Mathematics 496.
    (5) A total of 27 credits in approved Mathematics courses at the 300–level or above. At least 4 of the approved Mathematics courses must be at the 400–level or above.  Mathematics 415 may not be used to fulfill the requirements of the major.  Students may use no more than one of MTH 309, 314, 317H to satisfy this requirement. One course from a list of approved cognates available in the Department of Mathematics may be used to satisfy this requirement. Statistics and Probability 430 is required for students in the teacher certification program. Either Statistics and Probability 430 or 441 may be substituted for one 300-level mathematics course. The 300-400 level courses referenced in item 3. c. partially satisfy this requirement.
    (6) One of the following courses (3 credits):
    MTH 310 Abstract Algebra I and Number Theory 3
    MTH 418H Honors Algebra I 3
    (7) One of the following courses (3 credits):
    MTH 320 Analysis I 3
    MTH 327H Honors Introduction to Analysis 3
    (8) One of  the following courses (3 credits):
    MTH 330 Higher Geometry 3
    MTH 340 Ordinary Differential Equations I 3
    MTH 347H Honors Ordinary Differential Equations 3
    MTH 432 Axiomatic Geometry 3
    Students in the teacher certification program must take either Mathematics 330 or 432. Students not in the teacher certification program must take Mathematics 340 or 347H. Students not in the teacher certification program with prior credit in Mathematics 235 may substitute an approved 400-level Mathematics course for Mathematics 340.
    (9) Two courses selected from two of the following three groups (6 credits):
    (a) MTH 411 Abstract Algebra II 3
    MTH 414 Linear Algebra II 3
    MTH 416 Introduction to Algebraic Coding 3
    MTH 417 Topics in Number Theory 3
    MTH 419H Honors Algebra II 3
    (b) MTH 421 Analysis II 3
    MTH 425 Complex Analysis 3
    MTH 428H Honors Complex Analysis 3
    MTH 429H Honors Real Analysis 3
    MTH 442 Partial Differential Equations 3
    (c) MTH 441 Ordinary Differential Equations II 3
    MTH 451 Numerical Analysis I 3
    MTH 457 Introduction to Financial Mathematics 3
    MTH 461 Metric and Topological Spaces 3
    MTH 481 Discrete Mathematics I 3
    Students with credit in MTH 418H may not use MTH 411 to satisfy this requirement
    d. One of the following courses (4 credits):
    CSE 231 Introduction to Programming I 4
    CMSE 202 Computational Modeling and Data Analysis II 4

Mathematics, Advanced - Bachelor of Arts

Requirements for the Bachelor of Arts Degree in Mathematics, Advanced

  1. The University requirements for bachelor’s degrees as described in the Undergraduate  Education section of this catalog; 120 credits, including general elective credits, are required for the Bachelor of Science degree in Mathematics, Advanced.

    The University’s Tier II writing requirement for the Mathematics, Advanced major is met by completing Mathematics 418H and 496.  Those courses are referenced in item 3. below.

    Students who are enrolled in the College of Natural Science may complete the alternative track to Integrative Studies in Biological and Physical Sciences that is described in item 1. under the heading Graduation Requirements in the College statement. Certain courses referenced in requirement 3. below may be used to satisfy the alternative track.
  2. The  requirements of the College of Natural Science for the Bachelor of Arts degree.

    The credits earned in certain courses referenced in requirement 3. below may be counted toward College requirements as appropriate.
  3. The following requirements for the major:
    a. The following courses outside the Department of Mathematics (13 or 14 credits):
    (1)One of the following courses (3 or 4 credits):
    BS 161 Cell and Molecular Biology 3
    ENT 205 Pests, Society, and Environment 3
    IBIO 150 Integrating Biology: From DNA to Populations 3
    PLB 105 Plant Biology 3
    PSL 250 Introductory Physiology 4
    (2) One of the following courses (4 credits):
    CEM 141 General Chemistry 4
    CEM 151 General and Descriptive Chemistry 4
    CEM 181H Honors Chemistry I 4
    LB 171 Principles of Chemistry I 4
    (3) One of the following courses (4 or 5 credits):
    PHY 173 Studio Physics for Scientists and Engineers I 5
    PHY 183 Physics for Scientists and Engineers I 4
    PHY 193H Honors Physics I – Mechanics 4
    LB 273 Physics I 4
    (4) A minimum of  2 credits in laboratory courses in biological science, chemistry, entomology, microbiology, physics, physiology, plant biology, or integrative biology.
    b. A total of 34 to 37 credits in courses in the Department of Mathematics including:
    (1) One of the following courses (3 or 4 credits):
    MTH 132 Calculus I 3
    MTH 152H Honors Calculus I 3
    LB 118 Calculus I 4
    (2) One of the following courses (4 credits):
    MTH 133 Calculus II 4
    MTH 153H Honors Calculus II 4
    LB 119 Calculus II 4
    (3) One of the following courses (4 credits):
    MTH 234 Multivariable Calculus 4
    MTH 254H Honors Multivariable Calculus 4
    LB 220 Calculus III 4
    (4) All of the following courses (22 credits):
    MTH 317H Honors Linear Algebra 4
    MTH 327H Honors Introduction to Analysis 3
    MTH 347H Honors Ordinary Differential Equations 3
    MTH 418H Honors Algebra I 3
    MTH 419H Honors Algebra II 3
    MTH 429H Honors Real Analysis 3
    MTH 496 Capstone in Mathematics (W) 3
    The completion of Mathematics 496 fulfills the department’s capstone course requirement.
    c. A total of 15 credits in electives. Three of the courses (9 credits) are to be selected from any MTH course at the 800-level or above, or any course approved by the Mathematics Advanced program for satisfying this requirement, or any course from the following list:
    MTH 416 Introduction to Algebraic Coding 3
    MTH 417 Topics in Number Theory 3
    MTH 425 Complex Analysis 3
    MTH 441 Ordinary Differential Equations II 3
    MTH 442 Partial Differential Equations 3
    MTH 451 Numerical Analysis I 3
    MTH 452 Numerical Analysis II 3
    MTH 461 Metric and Topological Spaces 3
    MTH 481 Discrete Mathematics I 3
    MTH 482 Discrete Mathematics II 3
    MTH 492H Undergraduate Thesis (W) 3
    Two of the courses (6 credits) are to be selected from any MTH course at the 400 level or above (excluding MTH 411 and 421), or any course approved by the Mathematics Advanced program for satisfying this requirement, or any course from the following list:
    CMSE 820 Mathematical Foundations of Data Science 3
    CMSE 821 Numerical Methods for Differential Equations 3
    CMSE 823 Numerical Linear Algebra 3
    CSE 425 Introduction to Computer Security 3
    CSE 450 Translation of Programming Languages 3
    CSE 460 Computability and Formal Language Theory 3
    CSE 472 Computer Graphics 3
    CSE 802 Pattern Recognition and Analysis 3
    CSE 803 Computer Vision 3
    CSE 814 Computer Aided Verification 3
    CSE 830 Design and Theory of Algorithms 3
    CSE 835 Algorithmic Graph Theory 3
    CSE 847 Machine Learning 3
    CSE 860 Foundations of Computing 3
    CSE 881 Data Mining 3
    PHL 432 Logic and its Metatheory 4
    PHY 410 Thermal and Statistical Physics 3
    PHY 415 Methods of Theoretical Physics 4
    PHY 422 Classical Mechanics II 3
    PHY 471 Quantum Physics I 3
    PHY 472 Quantum Physics II 3
    PHY 480 Computational Physics 3
    PHY 481 Electricity and Magnetism I 3
    PHY 482 Electricity and Magnetism II 3
    STT 861 Theory of Probability and Statistics I 3
    STT 862 Theory of Probability and Statistics II 3
    STT 881 Theory of Probability I 3
    STT 882 Theory of Probability II 3
    STT 886 Stochastic Processes and Applications 3

Mathematics, Advanced - Bachelor of Science

Requirements for the Bachelor of Science Degree in Mathematics, Advanced

  1. The University requirements for bachelor’s degrees as described in the Undergraduate  Education section of this catalog; 120 credits, including general elective credits, are required for the Bachelor of Science degree in Mathematics, Advanced.

    The University’s Tier II writing requirement for the Mathematics, Advanced major is met by completing Mathematics 418H and 496.  Those courses are referenced in item 3. below.

    Students who are enrolled in the College of Natural Science may complete the alternative track to Integrative Studies in Biological and Physical Sciences that is described in item 1. under the heading Graduation Requirements in the College statement. Certain courses referenced in requirement 3. below may be used to satisfy the alternative track.
  2. The  requirements of the College of Natural Science for the Bachelor of Science degree.

    The credits earned in certain courses referenced in requirement 3. below may be counted toward College requirements as appropriate.
  3. The following requirements for the major:
    a. The following courses outside the Department of Mathematics (20 or 25 credits):
    (1) One of the following courses (3 or 4 credits):
    BS 161 Cell and Molecular Biology 3
    ENT 205 Pests, Society, and Environment 3
    IBIO 150 Integrating Biology: From DNA to Populations 3
    PLB 105 Plant Biology 3
    PSL 250 Introductory Physiology 4
    (2) One of the following groups of courses (8 or 10 credits):
    (a) CEM 141 General Chemistry 4
    CEM 142 General and Inorganic Chemistry 3
    CEM 161 Chemistry Laboratory I 1
    (b) CEM 151 General and Descriptive Chemistry 4
    CEM 152 Principles of Chemistry 3
    CEM 161 Chemistry Laboraotory I 1
    (c) CEM 181H Honors Chemistry I 4
    CEM 182H Honors Chemistry II 4
    CEM 185H Honors Chemistry Laboratory I 2
    (d) LB 171 Principles of Chemistry I 4
    LB 172 Principles of Chemistry II 3
    LB 171L Introductory Chemistry Laboratory I 1
    (3) One of the following courses (4 or 5 credits):
    (a) PHY 183 Physics for Scientists and Engineers I 4
    PHY 184 Physics for Scientists and Engineers II 4
    (b) PHY 193H Honors Physics I – Mechanics 4
    PHY 294H Honors Physics II - Electromagnetism 4
    (c) PHY 173 Studio Physics for Scientists and Engineers I 5
    PHY 174 Studio Physics for Scientists and Engineers II 5
    (d) LB 273 Physics I 4
    LB 274 Physics II 4
    (4) A minimum of 1 credit in laboratory courses in biological science, chemistry, entomology, microbiology, physics, physiology, plant biology, or integrative biology.
    b. A total of 34 to 37 credits in courses in the Department of Mathematics including:
    (1) One of the following courses (3 or 4 credits):
    MTH 132 Calculus I 3
    MTH 152H Honors Calculus I 3
    LB 118 Calculus I 4
    (2) One of the following courses (4 credits):
    MTH 133 Calculus II 4
    MTH 153H Honors Calculus II 4
    LB 119 Calculus II 4
    (3) One of the following courses (4 credits):
    MTH 234 Multivariable Calculus 4
    MTH 254H Honors Multivariable Calculus 4
    LB 220 Calculus III 4
    (4) All of the following courses (22 credits):
    MTH 317H Honors Linear Algebra 4
    MTH 327H Honors Introduction to Analysis 3
    MTH 347H Honors Ordinary Differential Equations 3
    MTH 418H Honors Algebra I 3
    MTH 419H Honors Algebra II 3
    MTH 429H Honors Real Analysis 3
    MTH 496 Capstone in Mathematics (W) 3
    The completion of Mathematics 496 fulfills the department’s capstone course requirement.
    c. A total of 15 credits in electives. Three of the courses (9 credits) are to be selected from any MTH course at the 800-level or above, or any course approved by the Mathematics Advanced program for satisfying this requirement, or any course from the following list:
    MTH 416 Introduction to Algebraic Coding 3
    MTH 417 Topics in Number Theory 3
    MTH 425 Complex Analysis 3
    MTH 441 Ordinary Differential Equations II 3
    MTH 442 Partial Differential Equations 3
    MTH 451 Numerical Analysis I 3
    MTH 452 Numerical Analysis II 3
    MTH 461 Metric and Topological Spaces 3
    MTH 481 Discrete Mathematics I 3
    MTH 482 Discrete Mathematics II 3
    MTH 492H Undergraduate Thesis (W) 3
    Two of the courses (6 credits) are to be selected from any MTH course at the 400 level or above (excluding MTH 411 and 421), or any course approved by the Mathematics Advanced program for satisfying this requirement, or any course from the following list:
    CMSE 820 Mathematical Foundations of Data Science 3
    CMSE 821 Numerical Methods for Differential Equations 3
    CMSE 823 Numerical Linear Algebra 3
    CSE 425 Introduction to Computer Security 3
    CSE 450 Translation of Programming Languages 3
    CSE 460 Computability and Formal Language Theory 3
    CSE 472 Computer Graphics 3
    CSE 802 Pattern Recognition and Analysis 3
    CSE 803 Computer Vision 3
    CSE 814 Computer Aided Verification 3
    CSE 830 Design and Theory of Algorithms 3
    CSE 835 Algorithmic Graph Theory 3
    CSE 847 Machine Learning 3
    CSE 860 Foundations of Computing 3
    CSE 881 Data Mining 3
    PHL 432 Logic and its Metatheory 4
    PHY 410 Thermal and Statistical Physics 3
    PHY 415 Methods of Theoretical Physics 4
    PHY 422 Classical Mechanics II 3
    PHY 471 Quantum Physics I 3
    PHY 472 Quantum Physics II 3
    PHY 480 Computational Physics 3
    PHY 481 Electricity and Magnetism I 3
    PHY 482 Electricity and Magnetism II 3
    STT 861 Theory of Probability and Statistics I 3
    STT 862 Theory of Probability and Statistics II 3
    STT 881 Theory of Probability I 3
    STT 882 Theory of Probability II 3
    STT 886 Stochastic Processes and Applications 3

Mathematics-Secondary Education - Bachelor of Science

The Bachelor of Science Degree in Mathematics-Secondary Education adequately prepares students to teach mathematics at the secondary level. Students gain a thorough foundation of mathematics, both in content and practice, and a comprehensive understanding of educational pedagogy and instructional methods.
 
Requirements for the Bachelor of Science Degree in Mathematics-Secondary Education

  1. The University requirements for bachelor's degrees as described in the Undergraduate Education section of this catalog; 120 credits, including general elective credits, are  required for the Bachelor of Science degree in Mathematics-Secondary Education.

    The University's Tier II writing requirement for the Mathematics-Secondary Education major is met by completing Mathematics 309 and 396.  Those courses are referenced in item 3. below.

    Students may substitute Teacher Education 101 and 102 for two ISS requirements.

    Students may substitute Teacher Education 341 for one IAH requirement.
  2. The requirements of the College of Natural Science for the Bachelor of Science degree.

    The credits earned in certain courses referenced in requirement 3. below may be counted toward College requirements as appropriate.
  3. The following requirements for the major:
    a. The following courses outside the Department of Mathematics (19 to 23 credits):
    (1) One course of at least 3 credits in biological science, entomology, Microbiology, physiology, plant biology, or integrative biology. At least 2 credits in laboratory in biological science, chemistry, microbiology, physics, physiology, plant biology, or integrative biology. This requirement is met by fulfilling the course requirements in item 3. a. (2) (c) below and 1 additional credit if not taking CEM 185H.
    (2) One course from each of the following groups (8 or 10 credits):
    (a) CEM 141 General Chemistry 4
    CEM 151 General and Descriptive Chemistry 4
    CEM 181H Honors Chemistry I 4
    LB 171 Principles of Chemistry I 4
    (b) CEM 142 General and Inorganic Chemistry 3
    CEM 152 Principles of Chemistry 3
    CEM 182H Honors Chemistry II 4
    LB 172 Principles of Chemistry II 3
    (c) CEM 161 Chemistry Laboratory I 1
    CEM 185H Honors Chemistry Laboratory I 2
    LB 171L Introductory Chemistry Laboratory I 1
    (d) One of the following groups of courses (8 to 10 credits):
    (i) PHY 183 Physics for Scientists and Engineers I 4
    PHY 184 Physics for Scientists and Engineers II 4
    (ii) PHY 193H Honors Physics I – Mechanics 4
    PHY 294H Honors Physics II – Electromagnetism 4
    (iii) LB 273 Physics I 4
    LB 274 Physics II 4
    (iv) PHY 173 Physics I 5
    PHY 174 Physics II 5
    b. The following courses in the Department of Mathematics (33 to 37 credits):
    (1) One course from each of the following two groups (7 or 8 credits):
    (a) MTH 132 Calculus I 3
    MTH 152H Honors Calculus 3
    LB 118 Calculus I 4
    (b) MTH 133 Calculus II 4
    LB 119 Calculus II 4
    (2) One of the following courses (4 credits):
    MTH 234 Multivariable Calculus 4
    MTH 254H Honors Multivariable Calculus 4
    LB 220 Calculus III 4
    (3) One of the following two groups of courses (4 or 7 credits):
    (a) MTH 299 Transitions 4
    MTH 309 Linear Algebra I 3
    (b) MTH 317H Honors Linear Algebra 4
    (4) All of the following courses (12 credits):
    MTH 304 Algebra and Calculus for Secondary Education 3
    MTH 305 Discrete and Computational Mathematics for Secondary Education 3
    MTH 330 Higher Geometry 3
    MTH 396 Capstone in Mathematics for Secondary Education (W) 3
    (5) One of the following courses (3 credits):
    MTH 310 Abstract Algebra I and Number Theory 3
    MTH 418H Honors Algebra I 3
    (6) One of the following courses (3 credits):
    MTH 320 Analysis I 3
    MTH 327H Honors Introduction to Analysis 3
    c. The following computational and statistics courses from outside the Department of Mathematics (7 credits):
    (1) One of the following courses (4 credits):
    CMSE 201 Computational Modeling and Data Analysis I 4
    CSE 231 Introduction to Programming I 4
    (2) The following course (3 credits):
    STT 430 Introduction to Probability and Statistics 3
    d. The following Professional Education Courses in the Department of Teacher Education (36 credits):
    (1) All of the following courses from the shared professional sequence (18 credits):
    CEP 240 Diverse Learners in Multicultural Perspective 3
    TE 101 Social Foundations of Justice and Equity in Education 3
    TE 102 Pedagogy and Politics of Justice and Equity in Education 3
    TE 150 Reflections on Learning 3
    TE 302 Literacy and Adolescent Learners in School and Community Contexts 3
    TE 341 Teaching and Learning of (Bi)Multilingual Learners 3
    (2) All of the following courses from the subject-specific professional sequence (18 credits):
    TE 314 Clinical Experiences in Mathematics Education I 3
    TE 414 Clinical Experiences in Mathematics Education II 3
    TE 415 Seminar in Mathematics Education I 3
    TE 416 Seminar in Mathematics Education II 3
    TE 417 Student Teaching Internship in Mathematics Education 6

Minor in Actuarial Science

The Minor in Actuarial Science, which is administered by the Department of Mathematics within the College of Natural Science, is available as an elective to students who are enrolled in any bachelor’s degree program at Michigan State University. This minor complements a number of major fields such as mathematics, statistics and probability, finance, and economics. It is intended to prepare students for work in insurance companies, banks, investment firms, government work, hospitals and business firms where there is a need to weigh the financial consequences of risk. The Minor in Actuarial Science prepares students for two of the examinations of the Society of Actuaries (SOA): Exam P/1 and Exam FM/2. With the approval of the department that administers the student’s degree program, courses that are used to satisfy the requirements for the minor may also be used to satisfy the requirements for the bachelor’s degree.

Requirements for the Minor in Actuarial Science

The student must complete all of the following courses (21 credits):

1. All of the following courses (18 credits):
FI 311 Financial Management 3
FI 321 Theory of Investments 3
MTH 360 Theory of Mathematical Interest 3
MTH 361 Financial Mathematics for Actuaries I 3
STT 441 Probability and Statistics I: Probability 3
STT 455 Actuarial Models I 3
2. One of the following courses (3 credits):
MTH 457 Introduction to Financial Mathematics 3
STT 442 Probability and Statistics II: Statistics 3


Minor in Mathematics

The Minor in Mathematics, which is administered by the Department of Mathematics, will broaden students’ understanding and application of mathematical concepts to their chosen field of study.

The minor is available as an elective to students who are enrolled in bachelor’s degree programs at Michigan State University other than the Bachelor of Arts and Bachelor of Science Degree in Mathematics. With the approval of the department and college that administer the student’s degree program, the courses that are used to satisfy the minor may also be used to satisfy the requirements for the bachelor’s degree.

Students who plan to complete the requirements of the minor should consult the undergraduate advisor in the Department of Mathematics.

Requirements for the Minor in Mathematics

Complete the following (21 to 28 credits):

1. One of the following courses (3 or 4 credits):
LB 118 Calculus I 4
MTH 132 Calculus I 3
MTH 152H Honors Calculus I 3
2. One of the following courses (3 or 4 credits):
LB 119 Calculus II 4
MTH 133 Calculus II 4
MTH 153H Honors Calculus II 3
3. One of the following courses (3 or 4 credits):
LB 220 Calculus III 4
MTH 234 Multivariable Calculus 4
MTH 254H Honors Multivariable Calculus 3
4. One of the following groups of courses (3 to 7 credits):
(a) MTH 299 Transitions 4
MTH 309 Linear Algebra I 3
(b) MTH 317H Advanced Linear Algebra 3
5. All of the following courses (9 credits):
MTH 310 Abstract Algebra I and Number Theory 3
MTH 320 Analysis I 3
One 400-level mathematics course approved by the student's advisor 3


Teacher Certification Options

The mathematics-secondary education disciplinary major leading to the Bachelor of Science degree is available for teacher certification. 

A mathematics-secondary disciplinary minor is also available for teacher certification.

Students who elect a mathematics-secondary disciplinary major or minor must contact the Department of Mathematics.

For additional information, refer to the statement on TEACHER CERTIFICATION in the Department of Teacher Education section of this catalog.


Graduate Study

The Department of Mathematics is ranked a tier-one program by the National Research Council rankings and conducts world-class research in a broad spectrum of mathematical endeavors. At the highest level, the department offers the graduate degrees of Doctor of Philosophy in Mathematics and Doctor of Philosophy in Applied Mathematics, which open the door to research careers in universities, national laboratories, and industry. We also offer graduate work leading to Master of Science degrees in Mathematics and in Applied Mathematics. Our Professional Master's program in Industrial Mathematics has an exemplary record of preparing students for careers in industry.

 


Applied Mathematics - Master of Science

In addition to meeting the requirements of the university and of the College of Natural Science, students must meet the requirements specified below.

Admission

To be admitted to the Master of Science degree program in applied mathematics, a person should have completed (1) the mathematics or applied mathematics courses normally required for the bachelor's degree with a major in mathematics, physics, or engineering, (2) a minimum of a year's work in mathematical analysis at the senior year level, and (3) courses in matrices and linear algebra.

Requirements for the Master of Science Degree in Applied Mathematics

The student must complete a total of 30 credits for the degree under Plan B (without thesis).  The student's program of study must be approved by the student's academic advisor and must include:

  1. At least 24 credits in mathematics courses including:
    1. At least 6 credits from the following courses:  Mathematics 818, 819, 828, 829, 848, 849, 868, 869.
    2. At least 12 credits in 800–level applied mathematics courses including 6 credits in one of the following groups of courses:  Mathematics 841, 842; 848, 849; 850, 851; or 880, 881.

      The completion of Mathematics 848 and 849 may be used to satisfy either the requirement referenced in item 1 a. or the requirement referenced in item 1. b., but not both of those requirements.
  2. At least 18 credits in 800–900 level courses.



Applied Mathematics - Doctor of Philosophy

In addition to meeting the requirements of the University and of the College of Natural Science, students must meet the requirements specified below.

Admission

Regular admission to the Doctor of Philosophy degree program in applied mathematics presupposes academic preparation equivalent to a Master of Science degree with a major in mathematics with a grade–point average of 3.00 or better.  However, a student with a bachelor's degree whose undergraduate preparation is strong may be admitted directly to the program upon passing a qualifying examination.

Requirements for the Doctor of Philosophy Degree in Applied Mathematics

The student must:

  1. Pass the qualifying examination.
  2. Complete at least 30 credits in approved 800–900 level mathematics courses excluding courses taken in preparation for the qualifying examination and Mathematics 999; at least 18 of the 30 credits must be in applied mathematics courses.
  3. Present at least two seminars acceptable to the faculty.
  4. Pass the comprehensive examination.
  5. Demonstrate a reading knowledge of one foreign language, normally from among French, German, and Russian, sufficient to read the mathematical literature written in that language.
  6. Complete a dissertation in applied mathematics.

For detailed information regarding the qualifying and comprehensive examinations, contact the Department of Mathematics.



Industrial Mathematics - Master of Science

The degree of Master of Science in Industrial Mathematics is designed to produce generalized problem solvers of great versatility, capable of moving within an organization from task to task. The graduate will have acquired not only the standard mathematical and statistical tools and computer science principles to strengthen data analytic skills, but also the basic ideas of engineering and business, and will have received training in project development and in modes of industrial communication. The program is designed for students planning careers in business, government or industry.

Admission

To be admitted to the Master of Science in Industrial Mathematics program, a person should have completed (1) the mathematics or applied mathematics courses normally required for the bachelor’s degree with a major in mathematics, statistics, economics, physics or engineering, (2) courses at the senior level in mathematical analysis, linear algebra and differential equations, and (3) have some familiarity with mathematical software programs such as Mathematica, Matlab, etc.

Students entering the program are expected to have a mathematical preparation at the level of Mathematics 421, 414 and 442. Students with deficiencies may be required to take additional course work.

Requirements for the Master of Science Degree in Industrial Mathematics

In addition to meeting the requirements of the University and the College of Natural Science, the student must complete a total of 30 credits for the degree under Plan B (without thesis). The student’s program of study must be approved by the student’s academic advisor, including:

1. The following requirements for the major (30 credits):
a. Both of the following courses:
MTH 843 Survey of Industrial Mathematics 3
MTH 844 Projects in Industrial Mathematics 3
b. A minimum of two of the following courses:
MTH 810 Error-Correcting Codes 3
MTH 841 Boundary Value Problems I 3
MTH 842 Boundary Value Problems II 3
MTH 847 Partial Differential Equations I 3
MTH 848 Ordinary Differential Equations 3
MTH 849 Partial Differential Equations 3
MTH 850 Numerical Analysis I 3
MTH 851 Numerical Analysis II 3
MTH 852 Numerical Methods for Ordinary Differential Equations 3
MTH 880 Combinatorics I 3
MTH 881 Graph Theory 3
c. A minimum of two of the following courses:
STT 801 Design of Experiments 3
STT 802 Statistical Computation 3
STT 843 Multivariate Analysis 3
STT 844 Time Series Analysis 3
STT 847 Analysis of Survival Data 3
STT 861 Theory of Probability and Statistics I 3
STT 862 Theory of Probability and Statistics II 3
STT 863 Statistics Methods I 3
STT 864 Statistics Methods II 3
STT 866 Spatial Data Analysis 3
STT 875 R Programming for Data Sciences 3
STT 886 Stochastic Processes and Applications 4
STT 888 Stochastic Models in Finance 3
d. At least two of the following courses:
CMSE 801 Introduction to Computational Modeling 3
CMSE 802 Methods in Computational Modeling 3
CMSE 820 Mathematical Foundations of Data Science 3
CMSE 821 Numerical Methods for Differential Equations 3
CMSE 822 Parallel Computing 3
CMSE 823 Numerical Linear Algebra 3
CSE 802 Pattern Recognition and Analysis 3
CSE 803 Computer Vision 3
CSE 830 Design and Theory of Algorithms 3
CSE 835 Algorithmic Graph Theory 3
CSE 836 Probabilistic Models and Algorithms in Computational Biology 3
CSE 841 Artificial Intelligence 3
CSE 847 Machine Learning 3
CSE 860 Foundations of Computing 3
CSE 872 Advanced Computer Graphics 3
CSE 880 Advanced Database Systems 3
CSE 881 Data Mining 3
CSE 885 Artificial Neural Networks 3
EC 811A Mathematical Applications in Economics 2
EC 811B The Structure of Economic Analysis 2
EC 812A Microeconomics I 3
EC 812B Microeconomics II 3
EC 813A Macroeconomics I 3
EC 813B Macroeconomics II and its Mathematical Foundations 4
EC 820A Econometrics IA 3
EC 820B Econometrics IB 3
EC 821A Cross Section and Panel Data Econometrics I 3
EC 821B Cross Section and Panel Data Econometrics II 3
EC 822A Time Series Econometrics I 3
EC 822B Time Series Econometrics II 3
ECE 848 Evolutionary Computation 3
ECE 863 Analysis of Stochastic Systems 3
ME 830 Fluid Mechanics I 3
ME 840 Computational Fluid Dynamics and Heat Transfer 3
ME 872 Finite Element Method 3
MKT 805 Marketing Management 2
MKT 806 Marketing Research for Decision Making 3
MKT 816 Marketing Analysis 3
MKT 819 Advanced Marketing Research 3
MKT 864 Data Mining in Marketing 3
SCM 800 Supply Chain Management 3
SCM 815 Emerging Topics in Supply Management 3
SCM 826 Manufacturing Design and Analysis 1.5
SCM 833 Decision Support Models 2
SCM 843 Sustainable Supply Chain Management 2
SCM 853 Operations Strategy 2
SCM 854 Integrated Logistics Systems 1.5
e. Completion of a Certificate Program in Project Management. This requires completion of PHM 857 Project Management, covering such topics as formal project management culture, principles, knowledge areas, and terminology. It will normally be undertaken during the first year of enrollment with the opportunity to use the credit-no credit grading system. Certification will also require participation in Industrial Mathematics-specific discussion sessions. After the completion of the certificate program is approved by the instructors, the Industrial Mathematics Program, and the Associate Dean of the College of Natural Science, the Office of the Registrar will enter on the student’s academic record the name of the certificate program and the date it was completed. This certification will appear on the student’s transcript upon completion of the requirements for the degree program.


Mathematics - Master of Science

In addition to meeting the requirements of the university and of the College of Natural Science, students must meet the requirements specified below.

Admission

To be admitted to the Master of Science degree program in mathematics, a person should have (1) at least one year of calculus and (2) at least 10 credits of acceptable junior and senior mathematics courses. Normally these 10 credits should include courses in advanced calculus and modern algebra.

Requirements for the Master of Science Degree in Mathematics

The student must complete a total of 30 credits for the degree under Plan B (without thesis).  The student's program of study must be approved by the student's academic advisor and must include:

  1. At least 24 credits in mathematics courses including at least 6 credits from the following courses:  Mathematics 818, 819, 828, 829, 848, 849, 868, 869.
  2. At least 18 credits in 800–900 level courses.

 


Mathematics - Doctor of Philosophy

In addition to meeting the requirements of the university and of the College of Natural Science, students must meet the requirements specified below.

Admission

Regular admission to the Doctor of Philosophy degree program in mathematics presupposes academic preparation equivalent to a Master of Science degree with a major in mathematics with a grade–point average of 3.00 or better. However, a student with a bachelor's degree whose undergraduate preparation is strong may be admitted directly to the program upon passing a qualifying examination.

Requirements for the Doctor of Philosophy Degree in Mathematics

The student must:

  1. Pass the qualifying examination.
  2. Complete at least 30 credits in approved 800–900 level mathematics courses excluding courses taken in preparation for the qualifying examination and Mathematics 999.
  3. Present at least two seminars acceptable to the faculty.
  4. Pass the comprehensive examination.
  5. Demonstrate a reading knowledge of one foreign language, normally from among French, German, and Russian, sufficient to read the mathematical literature written in that language.

For detailed information regarding the qualifying and comprehensive examinations, contact the Department of Mathematics.



Sports Analytics - Graduate Certificate

The Sports Analytics graduate certificate provides students with quantitative and applicable skills in support of the analysis of sports performance. Students develop analytic techniques in stochastic and statistical analysis with written and verbal communication skills. They will be able to transfer data on player performance into metrics, develop analytical models to differentiate player performance, and communicate effectively with non-quantitative decision makers. The applications draw from quantitative issues in management of day-to-day operations, player developing and assessment, and player recruitment. The certificate is targeted at professionals in the sports industry or college athletics, former athletes transitioning into sports analytics, and quantitatively literate people who are transitioning into sports analytics. The certificate is available online only.

Admission

Students must:

  1. Complete an application with approval from both the Department of Mathematics and Department of Statistics and Probability.
  2. Have background in mathematical and statistical foundations normally acquired through course work in multivariable calculus, linear algebra, and statistics and probability.
Requirements for the Graduate Certificate in Sports Analytics

Students must complete 12 credits from the following:
MTH 801 Machine Learning Algorithms: Mathematical Analysis 3
MTH 803 Sports Decision Analytics 3
STT 832 Data Visualization and Programming in R 3
STT 834 Sports Analytics Capstone 3