About the Mathematics Program

The major in Mathematics is the foundation of the Department's curriculum. The basic program can be complemented with further courses depending upon a student's interest. Common directions of study include preparation for secondary school teaching or further work in preparation for a career in statistics or operations research. Graduates have used a Mathematics major as preparation for seemingly non-mathematical careers ranging from law to business to the ministry. Recent LVC graduates have obtained positions such as: operations research analyst, bank credit analyst, marketing manager, and mutual fund accountant. Other mathematics graduates have taken positions involving computer system support and installation.

Bachelor of Science with a major in Mathematics

Take all of:

The aim of this course is exposure to mathematics beyond the classroom curriculum. The course requirement is attendance at a minimum of six formal presentations on mathematical topics given at conferences, colloquia or symposia at a minimum of two separate events (that is, a conference or event). Presentations should have a title and abstract and may be given by faculty or students; poster sessions do not count. 0 credits.
A calculus sequence for department majors and other students desiring a rigorous introduction to elementary calculus. Prerequisite: placement testing or MAS 102. Corequisite; MAS 113. 4 credits.
Second semester of a calculus sequence for department majors and other students desiring a rigorous introduction to elementary calculus. Prerequisite: MAS 111. Corequisite: MAS 114. 4 credits.
An introduction to college mathematics for potential mathematical science majors. Prerequisite: placement testing or MAS 102. Corequisite: MAS 111, 112. 1 credit.
Second semester. Introduction to college mathematics for potential mathematical science majors. Prerequisite: placement testing or MAS 102. Corequisite: MAS 111, 112. 1 credit.
Introduction to logic, set theory and proof techniques. Prerequisites: MAS 112 or MAS 162 and MAS 251. 3 credits.
An introduction to linear algebra including systems of equations, vectors spaces and linear transformations. Prerequisite: MAS 112 or MAS 261. 3 credits.
Introduction to mathematical ideas used in computing and information sciences, logic, sets and sequences, matrices, combinatorics, induction, relations and finite graphs. Prerequisite: MAS 112 or MAS 162. 3 credits.
Multivariate calculus including partial differentiation, multiple integration, vector fields and vector functions. Prerequisite: MAS 112 or MAS 162. 3 credits.
† indicates a required course

Take five (5) more MAS courses subject to:
     At most one of MAS 266, MAS 270, or ASC 385
     At least four of MAS 311, 322, 325, 335, 371, 372, 390
     At least one of MAS 311 or MAS 322
     A 400 level ASC course may substitute for MAS 335 and ASC 385 may be substituted for MAS 266 or MAS 270

Measurement of interest, time value of money, annuities, amortization and sinking funds, bonds, capitalized cost, net present value, yield rates, yield curves, duration and immunization. Prerequisite: MAS 112. 3 credits.
An introduction to ordinary differential equations. Prerequisite: MAS 162 or 112. 3 credits.
A more advanced version of MAS 170 intended for students with some calculus background. Similar to MAS 170 with more extensive content. 3 credits. A student may not receive credit for both MAS 170 and MAS 270.
Convergent and divergent series, limits, continuity, differentiability and integrability; Fourier series. Prerequisites: MAS 202, 222, 251. 3 credits.
Introduction to algebraic structures including groups, rings and fields. Prerequisite: MAS 202, 222, 251. 3 credits.
Axiomatic development of absolute, Euclidean and non-Euclidean geometries. Prerequisites: MAS 202, 222, 251. 3 credits.
Introduction to some operations research techniques including linear programming, queuing theory, project scheduling, simulation and decision analysis. Prerequisites: MAS 222, 251 or MAS 202. 3 credits.
A mathematical introduction to probability, discrete and continuous random variables, and sampling. Prerequisites: at least two of MAS 222, 251, and ASC 281 or junior standing. 3 credits.
An introduction to the mathematical foundations of statistics including sampling distributions, estimation, hypothesis testing, linear models and multivariate distributions. Prerequisites: MAS 371. 3 credits.

Total of 37 credits

Mathematics majors are advised to take at least one computer science course or have equivalent experience.

Minor in Mathematics

One of the following programs:

A calculus sequence covering functions, limits, differentiation, integration and applications. Prerequisite: placement testing or MAS 102. MAS 161 is a prerequisite for MAS 162. 3 credits per semester.
Second semester of a calculus sequence covering functions, limits, differentiation, integration and infinite sets. Prerequisite: MAS 161. 3 credits.
Or
A calculus sequence for department majors and other students desiring a rigorous introduction to elementary calculus. Prerequisite: placement testing or MAS 102. Corequisite; MAS 113. 4 credits.
Second semester of a calculus sequence for department majors and other students desiring a rigorous introduction to elementary calculus. Prerequisite: MAS 111. Corequisite: MAS 114. 4 credits.

An introduction to linear algebra including systems of equations, vectors spaces and linear transformations. Prerequisite: MAS 112 or MAS 261. 3 credits.
† indicates a required course

One of the following:

Introduction to logic, set theory and proof techniques. Prerequisites: MAS 112 or MAS 162 and MAS 251. 3 credits.
Introduction to mathematical ideas used in computing and information sciences, logic, sets and sequences, matrices, combinatorics, induction, relations and finite graphs. Prerequisite: MAS 112 or MAS 162. 3 credits.

3 courses from the following:

Foundational aspects of computer programming. Algorithms and data; control structures; the design of small programs. Class and object basics. Uses the Java programming language. 3 credits.
Introduction to logic, set theory and proof techniques. Prerequisites: MAS 112 or MAS 162 and MAS 251. 3 credits.
An introduction to linear algebra including systems of equations, vectors spaces and linear transformations. Prerequisite: MAS 112 or MAS 261. 3 credits.
Introduction to mathematical ideas used in computing and information sciences, logic, sets and sequences, matrices, combinatorics, induction, relations and finite graphs. Prerequisite: MAS 112 or MAS 162. 3 credits.
Multivariate calculus including partial differentiation, multiple integration, vector fields and vector functions. Prerequisite: MAS 112 or MAS 162. 3 credits.
An introduction to ordinary differential equations. Prerequisite: MAS 162 or 112. 3 credits.
A more advanced version of MAS 170 intended for students with some calculus background. Similar to MAS 170 with more extensive content. 3 credits. A student may not receive credit for both MAS 170 and MAS 270.
Convergent and divergent series, limits, continuity, differentiability and integrability; Fourier series. Prerequisites: MAS 202, 222, 251. 3 credits.
Introduction to algebraic structures including groups, rings and fields. Prerequisite: MAS 202, 222, 251. 3 credits.
Axiomatic development of absolute, Euclidean and non-Euclidean geometries. Prerequisites: MAS 202, 222, 251. 3 credits.
Introduction to some operations research techniques including linear programming, queuing theory, project scheduling, simulation and decision analysis. Prerequisites: MAS 222, 251 or MAS 202. 3 credits.
A mathematical introduction to probability, discrete and continuous random variables, and sampling. Prerequisites: at least two of MAS 222, 251, and ASC 281 or junior standing. 3 credits.
An introduction to the mathematical foundations of statistics including sampling distributions, estimation, hypothesis testing, linear models and multivariate distributions. Prerequisites: MAS 371. 3 credits.

No course other than MAS 111, 112, 113, 114, 222, 251, 372 and CSC 144 may be used to meet the requirements of more than one major or minor in the Department of Mathematical Sciences.

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.