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Mathematics, Advanced - Bachelor of Science

7108 Mathematics, Advanced

Undergraduate

Bachelor of Science

FS11

College of Natural Science

Relevant Excerpt(s) from Academic Programs:

Department of Mathematics

Relevant Excerpt(s) from Academic Programs:

Listed below are the approved requirements for the program from the official Academic Programs Catalog.

Students must consult their advisors to learn which specific requirements apply to their degree programs.

Following this section are the requirements as represented in Degree Navigator, MSU's online advising tool. The Degree Navigator section is only available for programs using Degree Navigator for degree certification.

### College of Natural Science

#### Department of Mathematics

##### Undergraduate Programs

###### Mathematics, Advanced - Bachelor of Science

Students must consult their advisors to learn which specific requirements apply to their degree programs.

Following this section are the requirements as represented in Degree Navigator, MSU's online advising tool. The Degree Navigator section is only available for programs using Degree Navigator for degree certification.

**Requirements for the Bachelor of Science Degree in Mathematics, Advanced**

- 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. - 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. - The following requirements for the major:
a. The following courses outside the Department of Mathematics (17 to 21 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 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 Laboratory 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 groups of courses (6 or 8 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 (4) A minimum of 2 credits in laboratory courses in biological science, chemistry, entomology, microbiology, physics, physiology, plant biology, or integrative biology. 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 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 (25 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 428H Honors Complex Analysis 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. d. A minimum of 12 credits in electives. Two courses must be selected from group (1) and two courses from group (2). Any MTH course at the 800-level or above may also satisfy the requirement from group (1). Any MTH course at the 400-level or above may also satisfy the requirement from group (2). Students in the teacher certification program must take MTH 432 to fulfill part of this elective requirement and may not use STT 430 towards fulfillment of this requirement. Any other substitutions must be approved by an advisor for the Mathematics, Advanced program. (1) Two of the following courses (6 credits): MTH 416 Introduction to Algebraic Coding 3 MTH 417 Topics in Number Theory 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 (2) Two of the following courses (6 to 8 credits): 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 Formal Methods in Software Development 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 EC 820A Econometrics IA 3 EC 820B Econometrics IB 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

University Tier I Writing: 1 course from WRA101, WRA195H, LB133, MC111, MC112, RCAH111

University Mathematics: The required number of courses from 1 of the following sets of courses

MTH2: 1 course

At least 1 course from LB118, MTH110, MTH116, MTHRQMT, MTHWAIV1, MTHWAIV2, Mathematics Pre-Matriculation, Mathematics Post-Matriculation

MTH1: 2 courses

At least 1 course from MTH103, MTH103WAIV

At least 1 course from MTH112, MTH114, MTH124, MTH132, MTH152H, MTH201, STT200, STT201

MTH3: 2 courses

At least 2 courses from MTH103, MTH101, MTH102

University IAH201 - IAH210: 4 credits from IAH201, IAH202, IAH203, IAH204, IAH205, IAH206, IAH207, IAH208, IAH209, IAH210, RCAH201, ANY IAH BELOW 211

University IAH211 or higher: 4 credits from IAH211A, IAH211B, IAH211C, IAH211D, IAH221A, IAH221B, IAH221C, IAH231A, IAH231B, IAH231C, IAH241A, IAH241B, IAH241C, IAH241D, IAH241E, IAH241F, IAH241G, RCAH202, TRANSFER IAH, ANY IAH211 OR HIGHER, approved LB courses

University ISS200 Series: 4 credits from ISS210, ISS215, ISS220, ISS225, ISS230, ISS235, MC201, TRANSFER ISS 200 LEVEL, ANY ISS 200 LEVEL

University ISS300 Series: 4 credits from ISS305, ISS308, ISS310, ISS315, ISS318, ISS320, ISS325, ISS327, ISS328, ISS330A, ISS330B, ISS330C, ISS335, ISS336, MC202, ANY ISS 300 LEVEL, approved LB courses

University ISB: 3 credits from ISB200, ISB201, ISB202, ISB204, TRANSFER ISB, ISB ALTERNATIVE TRACK, ANY 3 CREDIT ISB COURSE

University ISP: 3 credits from ISP203A, ISP203B, ISP205, ISP207, ISP209, ISP213H, ISP215, ISP217, ISP220, ISP221, TRANSFER ISP, ISP ALTERNATIVE TRACK, ANY 3 CREDIT ISP COURSE

University Laboratory Experience: The required number of credits from 1 of the following sets of courses

Univ Lab: 2 credits

At least 2 credits from ISB201L, ISB208L, ISP203L, ISP205L, ISP207L, ISP209L, ISP217L, ANY 2 CREDIT ISB/ISP LAB, LAB EXPERIENCE ALTERNATIVE TRACK, TRANSFER LAB

Alternative: 2 credits

At least 1 credit from ISB201L, ISB208L, ISP203L, ISP205L, ISP207L, ISP209L, ISP217L, ANY 2 CREDIT ISB/ISP LAB, LAB EXPERIENCE ALTERNATIVE TRACK, TRANSFER LAB

At least 1 credit from an Alternative Track Lab credit

University Diversity Distribution: A total 2 courses

At least 1 course from NationalIAH or ISS courses emphasizing national diversity or both national diversity and international and multicultural diversity

At least 1 course from InternationalIAH or ISS courses emphasizing international and multicultural diversity or both national diversity and international and multicultural diversity

Conditions:

University Diversity Distribution: No more than 1 course from IAH or ISS emphasizing both national diversity and international and multicultural diversity in Requirement(s) 10

Major - Mathematics Advanced BS - Outside the Department: 3 credits from courses in biological science, entomology, microbiology, physiology, plant biology or zoology.

Major - Mathematics Advanced BS - Chemistry: A total 3 courses from 1 of the following sets of courses

CEM141, CEM142, CEM161

CEM151, CEM152, CEM161

CEM181H, CEM182H, CEM185H

LB171, LB171L, LB172

Major - Mathematics Advanced BS - Physics: A total 2 courses from 1 of the following sets of courses

PHY183, PHY184

PHY193H, PHY294H

LB271, LB272

Major - Mathematics Advanced BS - Lab: 1 credit from a laboratory course.

Major - Mathematics Advanced BS - Foreign Language or Professional Education: 1 course from first year competency in a foreign language or the completion of the Professional Education Courses for those admitted to the teacher certification program

Major - Mathematics Advanced BS - Calculus I: 1 course from MTH132, MTH152H, LB118

Major - Mathematics Advanced BS - Calculus II: 1 course from MTH133, MTH153H, LB119

Major - Mathematics Advanced BS - Advanced Calculus: 1 course from LB220, MTH234, MTH254H

Major - Mathematics Advanced BS - Advanced Linear Algebra: 1 course from MTH317H

Major - Mathematics Advanced BS - Introduction to Advanced Analysis: 1 course from MTH327H

Major - Mathematics Advanced BS - Advanced Ordinary Differential Equations: 1 course from MTH347H

Major - Mathematics Advanced BS - Honors Algebra I and II: 2 courses from MTH418H, MTH419H

Major - Mathematics Advanced BS - Honors Analysis I and II: 2 courses from MTH428H, MTH429H

Major - Mathematics Advanced BS - Capstone: 1 course from MTH496

Major - Mathematics Advanced BS - Group 1 Required Elective: 2 courses from MTH416, MTH417, MTH441, MTH442, MTH451, MTH452, MTH461, MTH481, MTH482, MTH492H

Major - Mathematics Advanced BS - Group 2 Required Elective: 2 courses from CMSE820, CMSE821, CMSE823, CSE425, CSE450, CSE460, CSE472, CSE802, CSE803, CSE814, CSE830, CSE835, CSE847, CSE860, CSE881, EC820A, EC820B, PHL432, PHY410, PHY415, PHY422, PHY471, PHY472, PHY480, PHY481, PHY482, STT861, STT862, STT881, STT882, STT886

College Distribution: 30 credits from courses numbered at the 300 and 400 levels. See academic advisor.

Electives: 0 credits from Electives at Michigan State University and transfer coursework. This number can change based on the credits of the coursework taken to fulfill University, College, and Major requirements. Please contact your academic advisor with any questions.

University Residency: 30 credits from MSU coursework, 27 credits from MSU courses taken after reaching junior standing, 20 credits from courses offered by MSU while admitted to major & 20 of the last 30 credits must be MSU courses. Please see academic advisor.