Mathematics, General Program

Mathematics is the art of revealing truth through logical reasoning, and the science of applying such reasoning to further understanding the universe.  In addition to being the backbone of scientific inquiry, the study of mathematics is an excellent way to prepare for a broad range of careers in such fields as business, government, industry, law, medicine, politics and teaching.  You will find mathematics majors are employed as animators, benefits administrators, climate analysis, college professors, cryptologists, epidemiologists, forensic analysts, market researchers, pollsters, programmers, scientists, statisticians, among many, many others.  Mathematics majors in the program, who may choose to focus either on abstract mathematics or on mathematical sciences, study mathematics in depth as preparation for graduate or for a career in mathematics or a related field.

Below you can see a list of program requirements for the various degree available in this program.  For other questions, please contact Dr. Cam McLeman (mclemanc@umich.edu).

Mathematics General Program (BS)

Mathematics Department information  

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. Concentrations


One of the following concentrations:

Abstract Mathematics


This concentration is recommended for the student who plans to go on to graduate school in mathematics or a related field. The emphasis of the concentration 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 additional MTH courses numbered 300 or higher, including no more than one from:

  • MTH 303 - Introduction to Differential Equations (4)
  • MTH 305 - Differential Equations (3)
  •  

  • and excluding:

  • MTH 370 - Probability with Statistical Applications (3)
  • MTH 390 - Problem-Solving Seminar (1)
  • MTH 391 - Directed Study (1-4)
  • MTH 395 - Mathematics Instructional Practicum (1-2)
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)

Applied Mathematics


This concentration is recommended for students who plan to apply mathematics toward a career in science or industry. Coursework focuses on the use of abstract mathematics to model real-world phenomena arising from a variety of applications.

Advanced Mathematics (24-25 credits)

  • One from:

  • MTH 303 - Introduction to Differential Equations (4)
  • 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 (6-8 credits)

Two additional MTH courses numbered 300 or higher, excluding:

  • MTH 370 - Probability with Statistical Applications (3)
  • MTH 390 - Problem-Solving Seminar (1)
  • MTH 391 - Directed Study (1-4)
  • MTH 395 - Mathematics Instructional Practicum (1-2)
Computer Science

  • CSC 175 - Problem Solving and Programming I (4)
  • CSC 275 - Problem Solving and Programming II (4)

Mathematics for Data Science


This concentration is recommended for the student who plans to go into a career in data science upon completion of the bachelor degree, or who plans to go on to graduate school in data science or a related field. The emphasis of the concentration is on data analytics with a rigorous statistical background and utilizes diverse algorithms and software.

Advanced Mathematics (27 credits)

  • MTH 301 - Introduction to Mathematical Modeling (3)
  • MTH 306 - Introduction to Data Science (3)
  • MTH 328 - Abstract Algebra (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 402 - Mathematics Capstone Course (3)
Computer Science (17 credits)

  • CSC 122 - Introduction to Programming (3)
  • CSC 175 - Problem Solving and Programming I (4)
  • CSC 275 - Problem Solving and Programming II (4)
  • CSC 384 - Database Design (3)
  • CSC 487 - Data Mining: Algorithms and Applications (3)

Mathematics for Social Interaction


This concentration is recommended for students interested in applications of discrete mathematics to contemporary society. Coursework focuses on the mathematical background behind networks, individual and group decision-making, and electronic communication.

Advanced Mathematics (24 credits)

  • MTH 327 - Coding Theory (3)
  • MTH 328 - Abstract Algebra (3)
  • MTH 354 - Number Theory (3)
  • MTH 358 - Mathematical Cryptography (3)
  • MTH 362 - Combinatorics with Applications (3)
  • MTH 363 - Games and Game Theory (3)
  • MTH 392 - Selected Topics (1-3)
  • MTH 402 - Mathematics Capstone Course (3)
Computer Science (11 credits)

  • CSC 122 - Introduction to Programming (3)
  • CSC 175 - Problem Solving and Programming I (4)
  • CSC 275 - Problem Solving and Programming II (4)
Electives (9 credits)

Three additional 300+ level courses from Mathematics or Computer Science, approved by the Mathematics Department.  Some approved options are:

Option 1
CSC 370 - Introduction to Information Security 
CSC 378 - Network Security and Cryptography  
and an additional 300+ level MTH course

Option 2
CSC 350 - Computer Graphics  
CSC 355 - Game Development  
CSC 375 - Data Structures ​ 

Option 3
CSC 375 - Data Structures  
CSC 379 - Algorithm Analysis  
MTH 377 - Methods of Operations Research  

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



Tweet this Page (opens a new window)

Read More

Mathematics General Program (BA)

Mathematics Department information   

This program is designed for the student who wants to study mathematics as part of a broad liberal arts education.

Requirements


Completion of at least 120 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. Advanced Mathematics (15-16 credits)


  • MTH 328 - Abstract Algebra (3)
  • MTH 333 - College Geometry (3)
  • MTH 402 - Mathematics Capstone Course (3)
  • MTH 423 - Elementary Topology of the Linear Continuum (3)
  •  

  • One from:

  • MTH 456 - Real Analysis (4)
  • MTH 470 - Theory of Functions of a Complex Variable (3)

C. Mathematics Electives (6-8 credits)


Two additional MTH courses numbered 300 or higher, including no more than one from:

  • MTH 303 - Introduction to Differential Equations (4)
  • MTH 305 - Differential Equations (3)
  •  

  • and excluding:

  • MTH 370 - Probability with Statistical Applications (3)
  • MTH 390 - Problem-Solving Seminar (1)
  • MTH 391 - Directed Study (1-4)
  • MTH 395 - Mathematics Instructional Practicum (1-2)

D. Computer Science


  • CSC 175 - Problem Solving and Programming I (4)

E. Physics (5 credits)


  • PHY 243 - Principles of Physics I (5)

F. Additional Requirements


All requirements of the College of Arts and Sciences (CAS) Bachelor of Arts  degree, including General Education requirements , additional BA distribution requirements, and at least 80 credits outside mathematics.

Minimum Credits for the Degree: 120 credits



Tweet this Page (opens a new window)

Read More