Undergraduate Degree

The University's Tier II writing requirement for the Computational and Applied Mathematics major is met by completing Mathematics 496. This course is referenced in item 3. b.(4) 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 credits earned in certain courses referenced in requirement 3. below may be counted toward College requirements as appropriate.

1. 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 to 10 credits):
      1. • 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)
      2. • CEM 142 General and Inorganic Chemistry (4)
         • CEM 152 Principles of Chemistry (4)
         • CEM 182H Honors Chemistry II (4)
         • LB 172 Principles of Chemistry II (4)
      3. • CEM 161 Chemistry Laboratory I (4)
         • CEM 185H Honors Chemistry Laboratory (2)
         • LB 171L Introductory Chemistry Laboratory I (1)
   3. One course from each of the following groups (8 credits):
      1. • PHY 183 Physics for Scientists and Engineers I (4)
         • LB 273 Physics I (4)
         • PHY 193H Honors Physics I - Mechanics (4)
      2. • LB 274 Physics II (4)
         • PHY 184 Physics for Scientists and Engineers I (4)
         • PHY 294H Honors Physics II - Electromagnetism (4)
   4. At least 1 credit in laboratory in biological science, chemistry, entomology, microbiology, physics, physiology, or plant biology.
   5. One of the following groups of courses (8 credits):
      1. • CSE 231 Introduction to Programming I (4)
         • CSE 232 Introduction to Programming II (4)
      2. • CMSE 201 Computational Modeling and Data Analysis I (4)
         • CMSE 202 Computational Modeling and Data Analysis II (4)
2. The following courses from the Department of Mathematics:
   1. One course from each of the following groups (11 or 12 credits):
      1. • MTH 132 Calculus I (3)
         • MTH 152H Honors Calculus I (3)
         • LB 118 Calculus I (4)
      2. • MTH 133 Calculus II (4)
         • MTH 153H Honors Calculus II (4)
         • LB 119 Calculus II (4)
      3. • 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):
      1. • MTH 299 Transitions (4)
         • MTH 309 Linear Algebra I (3)
      2. • MTH 299 Transitions (4)
         • MTH 314 Matrix Algebra with Computational (3)
      3. • MTH 317H Honors Linear Algebra (4)
   3. Concentration Choice: Completion of one of the following groups of courses (12 credits):
      1. Differential Equations and Numerical Methods
         1. One of the following courses:
            • MTH 235 Differential Equations (3)
            • MTH 340 Ordinary Differential Equations I (3)
            • MTH 347H Honors Ordinary Differential Equations (3)
         2. One of the following courses:
            • MTH 320 Analysis I (3)
            • MTH 327H Honors Introduction to Analysis (3)
         3. The following course:
            • MTH 451 Numerical Analysis I (3)
         4. One of the following courses:
            • MTH 441 Ordinary Differential Equations II (3)
            • MTH 442 Partial Differential Equations (3)
            • MTH 452 Numerical Analysis II (3)
      2. Probability and Discrete Mathematics
         1. The following course:
            • STT 441 Probability and Statistics I: Probability (3)
         2. One of the following courses:
            • MTH 320 Analysis I (3)
            • MTH 327H Honors Introduction to Analysis (3)
         3. Both of the following courses:
            • MTH 481 Discrete Mathematics I (3)
            • MTH 482 Discrete Mathematics II (3)
      3. Applied Algebra and Discrete Mathematics
         1. One of the following courses:
            • MTH 310 Abstract Algebra I and Number Theory (3)
            • MTH 418H Honors Algebra I (3)
         2. All of the following courses:
            • MTH 416 Introduction to Algebraic Coding (3)
            • MTH 481 Discrete Mathematics I (3)
            • MTH 482 Discrete Mathematics II (3)
      4. Mathematical Machine Learning
         1. One of the following courses:
            • MTH 320 Analysis I (3)
            • MTH 327H Honors Introduction to Analysis (3)
         2. 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 425 Complex Analysis (3)
      • MTH 429H Honors Real 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 (3)
      • 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.