The basic major in applied mathematics consists of at least 40 credits of mathematics and statistics courses. Because different program emphases are possible, students should consult with an advisor as soon as possible concerning the alternatives. Students in the program must fulfill the following minimal requirements, earning a grade of C or higher in each course.
- Analytic Geometry and Calculus 1, 2, 3 (12 credits total): MATH 0220, MATH 0230, MATH 0240 or 0245
- Two intermediate mathematics courses (7 credits total):
Introduction to Theoretical Mathematics (4 credits): MATH 0413
Introduction to Theory: One Variable Calculus (3 credits): MATH 0420
- Linear Algebra 1 (3 credits): MATH 1180 or MATH 1185
- Ordinary Differential Equations 1 (3 credits): MATH 1270 or 1275
- One course from each of the following two groups (6 credits total):
- NUMERICAL MATHEMATICS GROUP:
Numerical Analysis (3 credits): MATH 1070
Numerical Linear Algebra (3 credits): MATH 1080
Linear Programming (3 credits) MATH 1100
Intro to Optimization (3 credits): MATH 1101
Industrial Mathematics (3 credits): MATH 1110
- APPLIED ANALYSIS GROUP:
Vector Analysis and Applications (3 credits): MATH 1550
Complex Variables for Science and Engineering Students (3 credits): MATH 1560
Fourier Analysis (3 credits): MATH 1570
- NUMERICAL MATHEMATICS GROUP:
- One additional course from one of the two groups in number 5 above or one course from:
DIFFERENTIAL EQUATIONS GROUP:
- Ordinary Differential Equations 2 (3 credits): MATH 1280
- Partial Differential Equations/Applications 1, 2 (3 credits each): MATH 1470, MATH 1480
- One of the following courses:
Industrial Numerical Analysis (3 credits): MATH 1110
Modeling in Applied Mathematics (3 credits): MATH 1360
Computational Neuroscience (3 credits): Math 1370
Mathematical Biology (3 credits): Math 1380
- Basic Physics for Science and Engineering 1, 2 (8 credits total): PHYS 0174 and PHYS 1075.
- One of the following courses providing an introduction to computer science:
Introduction to Computer Programming in Java (3 credits): CS 0007
Introduction to Computer Programming in Python (3credits): CS 0008
Programming in C (3 credits): CS 0132
Intermediate Java (3 credits): CS 0401
- One of the following courses providing an introduction to probability or statistics:
Mathematical Probability (3 credits): Math 1510
Introduction to Applied Statistics (4 credits): STAT 1000
Statistics and Probability for Business Management (4 credits): STAT 1100
Introduction to Probability/Mathematical Statistics 1 (3 credits): STAT 1151
- A related area (12 credits minimum) to be approved by the department's Undergraduate Committee consisting of a coherent sequence of courses in a field to which mathematics is applied. Students should consult the list of currently approved course sequences.
Students who are interested in graduate study are strongly advised to take Advanced Calculus, MATH 1530 and 1540. The two courses can be substituted for the course in the APPLIED ANALYSIS GROUP of 5 above and for the single course specified in 6 above, respectively. Note that no single course may fulfill two requirements simultaneously.
Requirements for Departmental Honors in Applied Mathematics
The Department also offers a program for students pursuing a major in applied mathematics leading to graduation with departmental honors in applied mathematics. This program is designed for students who are considering graduate study in mathematics or a related field that makes use of mathematics. In order to qualify for departmental honors in applied mathematics, a student must:
- Fulfill all requirements for a degree in applied mathematics.
- Complete the following courses with grade of at least B.
MATH 1470 Partial Differential Equations
MATH 1530 Advanced Calculus 1
MATH 1540 Advanced Calculus 2
One 2000 level mathematics course in lieu of an upper level elective
- Complete an honors thesis under the direction of a mathematics faculty member or a second 2000 level mathematics course. (For students seeking a BPhil degree from the Honors College, this requirement could be satisfied by the Honors College Thesis.) Course credit for thesis work will normally be awarded as MATH 1902 (Directed Study).
The statistics requirement will be waived for honors candidates in applied math.
Although not required, it is highly recommended that honors degree candidates take the intermediate honors courses Math 1185 and 0450 during the freshman or sophomore year.
Students interested in the departmental honors program should consult with the undergraduate director or department chairperson as early as possible, preferably during the freshman or sophomore year, even if they have not yet declared a major.
The department's Undergraduate Committee is responsible for certifying students who graduate with departmental honors in mathematics. The Undergraduate Committee is empowered to make minor changes in requirements based on individual circumstances.
- 1. Highly qualified students may substitute MATH 0450 (Introduction to Analysis) for MATH 0413 and MATH 0420.
- 2. MATH 1185 requires instructor approval.
- 3. The related area requirement will be waived for students who are dual majors.