Required courses:
MAS 222 Linear Algebra
| An introduction to linear algebra including systems of equations, vectors spaces and linear transformations. |
One of the following programs:
MAS 161 Calculus I| A calculus sequence covering functions, limits, differentiation, integration and applications. |
| Second semester of a calculus sequence covering functions, limits, differentiation, integration and infinite series. |
Or
MAS 111 Analysis I| A calculus sequence for department majors and other students desiring a rigorous introduction to elementary calculus. |
| Second semester of a calculus sequence for department majors and other students desiring a rigorous introduction to elementary calculus. |
One of:
MAS 202 Foundations of Mathematics| Introduction to logic, set theory and proof techniques. |
| Introduction to mathematical ideas used in computing and information sciences: logic, sets and sequences, matrices, combinatorics, induction, relations and finite graphs. |
3 from:
CSC 131 Intro. to Programming (w/Java)| Foundational aspects of computer programming. Algorithms and data; control structures; the design of small programs. Class and object basics. Uses the Java programming language. |
| Introduction to logic, set theory and proof techniques. |
| An introduction to linear algebra including systems of equations, vectors spaces and linear transformations. |
| Introduction to mathematical ideas used in computing and information sciences: logic, sets and sequences, matrices, combinatorics, induction, relations and finite graphs. |
| Multivariate calculus including partial differentiation, multiple integration, vector fields and vector functions. |
| An introduction to ordinary differential equations. |
| A more advanced version of MAS 170 intended for students with some calculus background. |
| Convergent and divergent series, limits, continuity, differentiability and integrability; Fourier series. |
| Introduction to algebraic structures including groups, rings and fields. |
| Axiomatic development of absolute, Euclidean and non-Euclidean geometries. |
| Introduction to some operations research techniques including linear programming, queuing theory, project scheduling, simulation and decision analysis. |
| A mathematical introduction to probability, discrete and continuous random variables, and sampling. |
| An introduction to the mathematical foundations of statistics including sampling distributions, estimation, hypothesis testing, linear models and multivariate distributions. |
For students transferring into the Department of Mathematical Sciences after having completed two semesters of calculus, the MAS 111, 112, 113, 114 requirement may be replaced with MAS 161, 162, and one other MAS course numbered 200 or higher, which is not otherwise used to fulfill the requirements of the student's major and is approved by the student's advisor.