Applied and Computational Mathematics 4+1 Option
The Accelerated Masters Studies Option (4+1 Option) in Mathematics and Applied and Computational Mathematics (MATH-ACM) is designed to allow motivated students to earn both a B.S. or B.A. in Mathematics and an M.S. in Applied and Computational Mathematics with one additional year of coursework. This is achieved by a double-counting allowance of up to 16 credits or five graduate level (500-level or above) courses. One additional year of graduate work (15 credits) would be needed to complete the Master's program enabling students to earn two degrees in a total of five years.
Courses and Curriculum
MATH-ACM students may double count 15 credits (5 courses) of 500 level courses toward both the B.S./A.B. in Mathematics and M.S. in Applied and Computational Mathematics degrees. The courses double counted must be elected at the 500 level and include:
- Math 551 (Advanced Calculus), Math 562 (Math Modeling), and either Math 572 (Numerical Analysis) or Math 573 (Matrix Computations). This satisfies part of both the Analysis/Algebra option and the Applied Courses for the B.S. and all of the Core requirements for the M.S. degree.
- And either Option I, II or III:
Two additional electives that satisfy both the B.S. degree electives and the Modeling Specialization requirements of the M.S. degree. Choices include: Math 504, Math 520, Math 525, Math 554, Math 558, Math 523, Math 514, Math 516.
Two courses that satisfy the cognate option for the B.S. degree. Choices include: Stat 530, Stat 535, Stat 545, Stat 560, or select courses at the graduate level from CIS, ECE, ECON, IMSE, ME, PHYS and others.
One course from Option I and one course from the Option II.
A student may not receive credit for both a 400 and 500 level equivalent courses (for example, both Math 455 and Math 555).
4+1 Admission and Requirements
In order to be eligible for this program, a student must:
- Be a declared mathematics major with at least 60 completed credit hours
- Have completed the prerequisite courses for the math major: CIS/CCM 150 (or CIS 1501 or CCM 172), Math 228, Math 227, and Math 300 with grades of B+ or better in Math 227 and 228.
- Have a cumulative GPA of at least 3.2
| Course Number | Title of Course | Credits |
|---|---|---|
| MATH 115 | Calculus I | 4 |
| MATH 116 | Calculus II | 4 |
| MATH 215 | Calculus III | 4 |
MATH 216 or MATH 228 | Intro to Diff Equations Diff Eqns with Linear Algebra | 3-4 |
| MATH 227 | Intro to Linear Algebra | 3 |
| Select one of the following: | 3-4 | |
| CCM 172 | Computing Environ Math | |
CIS/CCM 150 or CIS 1501 | Computer Science I CS I for Data Science | |
| Total Credit Hours | 21-23 |
| Course Number | Course Title | Credits |
|---|---|---|
| MATH 300 | Math Lang Proof & Struct | 3 |
| MATH 551 | Advanced Calculus I | 3 |
| MATH 562 | Mathematical Modeling | 3 |
MATH 572 or MATH 573 | Numerical Analysis Matrix Computations | 3 |
| MATH 412 | First Course Modern Algebra | 3
|
| Complete either Algebra or Analysis Option: | 6 | |
| Algebra Option: | ||
| MATH 413 | Linear Algebra | |
| Select at least one from: | ||
| MATH 452 | Advanced Calculus II | |
| MATH 492 | Introduction to Topology | |
| MATH 455 | Func of a Complex Var with App | |
| Analysis Option: | ||
MATH 452 or MATH 492 | Advanced Calculus Introduction to Topology | |
| Select at least one from: | ||
| MATH 331 | Survey of Geometry | |
| MATH 395 | Elementary Number Theory | |
| MATH 413 | Linear Algebra | |
| MATH 455 | Func of a Complex Var with App |
|
| Complete either Option I, Option II, or Option III: | 18 | |
| Option I: | ||
| Select two from: | ||
| MATH 504 | Dynamical Systems | |
| MATH 520 | Stochastic Processes | |
| MATH 525 | Mathematical Statistics | |
| MATH 554 | Fourier and Boundary | |
| MATH 558 | Introduction to Wavelets | |
| MATH 523 | Linear Algebra with Applications | |
| MATH 514 | Finite Difference Meth for Diff Eqns | |
| MATH 516 | Finite Element Meth for Diff Eqns | |
| Select two 300+ cognates from approved list of undergraduate cognates | ||
| Select two 500+ cognates from approved list of graduate cognates | ||
| Option II: | ||
| Select two 500+ cognates from the approved list of graduate cognates | ||
| Select two courses numbered MATH 300+ | ||
| Select two courses MATH/STAT 500+ that satisfy Modeling Specialization Areas | ||
| Option III: | ||
| Select one from: | ||
| MATH 504 | Dynamical Systems | |
| MATH 520 | Stochastic Processes | |
| MATH 525 | Mathematical Statistics | |
| MATH 554 | Fourier and Boundary | |
| MATH 558 | Introduction to Wavelets | |
| MATH 523 | Linear Algebra with Applications | |
| MATH 514 | Finite Difference Meth for Diff Eqns | |
| MATH 516 | Finite Element Meth for Diff Eqns | |
| Select one 500+ cognates from the approved list of graduate cognates | ||
| Select one 300+ cognates from approved list of undergraduate cognates | ||
| Select one courses numbered MATH 300+ | ||
| Select two courses MATH/STAT 500+ that satisfy Modeling Specialization Areas | ||
| MATH 4000 | Capstone | 3 |
| Two MATH/STAT 500+ to complete the Modeling Specialization Requirements | 6
| |
MATH 595 or MATH 599
| Masters Project Seminar Independent Research Project | 3 |
| Total Credit Hours | 51 |
Complete the graduate online application for Applied and Computational Mathematics (MS) and select "yes" to the 4+1 option in the Academic Plan section.
Students applying through the 4+1 option are only required to submit 2 letters of recommendation, both from faculty in mathematics or statistics.
Department of Mathematics and Statistics
4901 Evergreen Road
Dearborn, MI 48128
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