Mathematics General Program (BS)

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This program is designed for the student who wants to study mathematics in some depth as preparation for graduate school or a career in mathematics or a related field.

It is recommended that the general education requirements be completed in the first two years.

Requirements

Completion of at least 124 credits, including:

A. Foundational Mathematics (18 credits)

MTH 121 - Calculus I (4)
MTH 122 - Calculus II (4).
MTH 200 - Mathematical Proofs and Structures (3).
MTH 220 - Elementary Linear Algebra (3).
MTH 222 - Multivariate Calculus (4).

B. Physics

PHY 243 - Principles of Physics I (5)
PHY 245 - Principles of Physics II (5)

C. Option of Choice

One of the following options:

Option A, Abstract Mathematics

This option is recommended for the student who plans to go on to graduate school in mathematics or a related field. The emphasis of the option is on abstract, rigorous mathematics and on the development of the student’s analytical and creative talents.

Advanced Mathematics (19 credits)

MTH 328 - Abstract Algebra (3).
MTH 329 - Advanced Linear Algebra (3).
MTH 402 - Mathematics Capstone Course (3)
MTH 423 - Elementary Topology of the Linear Continuum (3).
MTH 456 - Real Analysis (4).
MTH 470 - Theory of Functions of a Complex Variable (3).

Mathematics Electives (12 credits)

Four from:

MTH 305 - Differential Equations (3).
MTH 327 - Coding Theory (3).
MTH 331 - Conics and Cubics (3).
MTH 333 - College Geometry (3).
MTH 354 - Number Theory (3).
MTH 357 - Advanced Calculus (3).
MTH 362 - Combinatorics with Applications (3).
MTH 372 - Probability (3).
MTH 374 - Introduction to Numerical Analysis (3).
MTH 375 - Mathematical Statistics (3).
MTH 377 - Methods of Operations Research (3).
MTH 378 - Theory of Interest (3).
MTH 385 - History of Mathematics (3).
MTH 392 - Selected Topics (1-3).
MTH 422 - Foundations of Mathematics (3).

Computer Science

CSC 175 - Problem Solving and Programming I (4)

Foreign Language (0-8 credits)

Students who wish to meet this requirement with courses taken in high school or at other colleges and universities, or those who have attained fluency in a foreign language without formal course work, must demonstrate such equivalent proficiency by examination.

ARB 112 - Beginning Standard Arabic II (4)
CHN 112 - Beginning Mandarin Chinese II (4)
FRN 112 - Beginning French II (4)
GER 112 - Beginning German II (4)
SPN 112 - Beginning Spanish II (4)

Option B, Mathematical Sciences

This option is recommended for the student who plans to apply mathematics in a nonacademic career. The program has a dual emphasis, focusing on abstract mathematics and its applications.

Advanced Mathematics (24 credits)

MTH 305 - Differential Equations (3).
MTH 357 - Advanced Calculus (3).
MTH 372 - Probability (3).
MTH 374 - Introduction to Numerical Analysis (3).
MTH 375 - Mathematical Statistics (3).
MTH 377 - Methods of Operations Research (3).
MTH 402 - Mathematics Capstone Course (3)
MTH 470 - Theory of Functions of a Complex Variable (3).

Mathematics Electives (6-7 credits)

Two from:

MTH 327 - Coding Theory (3).
MTH 328 - Abstract Algebra (3).
MTH 329 - Advanced Linear Algebra (3).
MTH 331 - Conics and Cubics (3).
MTH 333 - College Geometry (3).
MTH 354 - Number Theory (3).
MTH 362 - Combinatorics with Applications (3).
MTH 378 - Theory of Interest (3).
MTH 385 - History of Mathematics (3).
MTH 392 - Selected Topics (1-3).
MTH 422 - Foundations of Mathematics (3).
MTH 423 - Elementary Topology of the Linear Continuum (3).
MTH 456 - Real Analysis (4).

Computer Science

D. Additional Requirements

All requirements of the College of Arts and Sciences (CAS) Bachelor of Science degree, including General Education requirements , and all University of Michigan-Flint graduation requirements.

Minimum Credits for the Degree: 124 credits