MTH 105 - Finite Mathematics
4 Credit(s)
This course is designed to give the student an introduction to finite mathematics and its applications. Topics are selected from linear functions and graphs, systems of linear equations and inequalities, linear programming, simplex method, mathematical models and elementary concepts of probability. May not be taken for credit by students who have completed Mathematics 213 or a higher mathematics course with a grade of “C-” or better. Fall and Spring, every year.

MTH 110 - Precalculus Mathematics
4 Credit(s)
A one-semester course designed to prepare students for the calculus sequence. Topics are selected from properties of real numbers, functions and graphs, transcendental functions, including exponential, logarithmic and trigonometric functions, and analytic geometry. This course emphasizes concepts and skills central to calculus. May not be taken for credit by students who have completed MTH 213 or a higher mathematics course with a grade of “C-” or better. Prerequisite: MTH 105 or ACT score of 24 or higher or SAT score of 570 or higher. Students with ACT mathematics score of 27 or higher should take MTH 213. Fall and Spring, every year.

MTH 213 - Differential Calculus
4 Credit(s)
A comprehensive study of limits, continuity and differentiation of functions of one real variable and their applications. Introduction to integrals. Prerequisites: MTH 110 or equivalent work. Fall and Spring, every year.

MTH 214 - Integral Calculus
4 Credit(s)
A continuation of MTH 213. Techniques and applications of integration. Infinite sequences and series. Prerequisite: MTH 213 or equivalent work. Fall and Spring, every year.

MTH 303 - Symbolic Logic
3 Credit(s)
A thorough treatment of the techniques of formal reasoning. Topics include truth-functional logic, quantification logic and construction of correct deductions. Prerequisite: MTH 105 or higher mathematics course. Spring, even-numbered years.

MTH 306 - Numerical Analysis
3 Credit(s)
Numerical methods for approximation of roots, systems of linear equations, interpolation and curve fitting, numerical integration and differentiation and differential equations. Problems are generally approached through structured algorithms. Prerequisite: MTH 214 and CMP 101. Spring, even-numbered years.

MTH 320 - Multivariable Calculus
4 Credit(s)
A third-semester calculus course. Topics will include vectors and three-dimensional coordinate systems, partial differentiation and multiple integrals, vector calculus and Green's Theorem. Prerequisite: MTH 214. Fall and spring, every year.

MTH 330 - Theory of Numbers
3 Credit(s)
Properties of the integers, the Euclidean Algorithm, divisibility, diophantine equations, prime numbers, congruences and residues. Prerequisite: MTH 214. Spring, odd-numbered years.

MTH 340 - Differential Equations
3 Credit(s)
Techniques and theory of solving ordinary differential equations. Topics will include series solutions, numerical methods and applications. Prerequisite: MTH 320. Fall, every year.

MTH 360 - Non-Euclidean Geometry
3 Credit(s)
A college-level approach to Euclidean and non-Euclidean geometries. The course will pursue an in-depth investigation into the following topics: Hilbert’s postulates for Euclidean geometry, the parallel postulates, neutral geometry and non-Euclidean geometry. Prerequisite: MTH 214. Fall, every year.

MTH 380 - Mathematical Modeling
3 Credit(s)
This course serves as an introduction to the formulation, analysis and interpretation of mathematical models in the study of problems in the natural, management and social sciences. Topics will include optimization, dimensional analysis, Markov chains and autonomous systems. The course will require the use of the Eaton Corporation Computer Laboratory and the software packages Minitab, Mathematica, and Matlab. Prerequisite: MTH 400. Fall, even-numbered years.

MTH 400 - Linear Algebra
3 Credit(s)
The theory and applications of vector spaces, matrix algebra, linear transformations and eigenvalues. Prerequisite: MTH 214. Fall and spring, every year.

MTH 403 - Advanced Calculus
3 Credit(s)
A rigorous treatment of the calculus of one variable, including limits, continuity, sequences, differentiation and Riemann integrals. This course should be taken in the junior or senior year. Prerequisite: MTH 320, and senior standing or permission of the instructor. Spring, every year.

MTH 405 - Complex Analysis
3 Credit(s)
The theory of functions of a single complex variable. Complex numbers, elementary complex functions, differentiation and integration of complex functions, complex series and residue theory. Prerequisite: MTH 320. Fall, odd-numbered years.

MTH 410 - Abstract Algebra
3 Credit(s)
An introduction to the theory of algebraic structures, including the elementary properties of groups, rings and fields. This course should be taken in the junior or senior year. Prerequisite: MTH 400, and senior standing or permission of the instructor. Fall, every year.

MTH 415 - Vector Analysis
3 Credit(s)
The study of scalar and vector fields, vector functions, vector algebra, line and surface integrals and vector spaces. Prerequisite: MTH 320. Offered as needed.

MTH 420 - Theory of Probability
3 Credit(s)
Introduction to the mathematical theory of probability. Discrete probability spaces, conditional probability, discrete and continuous random variables, expectations and distributions. Prerequisite: MTH 214. Spring, every year.

MTH 430 - Topology
3 Credit(s)
An introductory course in the fundamental concepts of general topology, including metric spaces, topological spaces, connectedness and compactness. Prerequisite: MTH 403. Fall, even-numbered years.

MTH 458 - The Teaching of Elementary Mathematics
1 Credit(s)
This course includes an introduction to and the use of K-12 Michigan Curriculum framework in mathematics and an introduction to and the use of NCTM standards in mathematics. Also included will be the study of the principles and methods involved in classroom instruction of mathematics at the elementary level including current pedagogical techniques, assessment/evaluation methods, and the use of technology and resources in the mathematics classroom. Prerequisite: admission to Teacher Education. Spring, every year.

MTH 459 - The Teaching of Secondary Mathematics
1 Credit(s)
This course includes an introduction to and the use of K-12 Michigan Curriculum framework in mathematics and an introduction to and the use of NCTM Standards in mathematics. Also included will be the study of the principles and methods involved in classroom instruction of mathematics at the secondary level including current pedagogical techniques, assessment/evaluation methods, and the use of technology and resources in the mathematics classroom. Prerequisite: admission to Teacher Education. Spring, every year.

MTH 575 - Honors Thesis
1-2 Credit(s)
Investigation of a mathematical topic, under faculty supervision, leading to the honors thesis option in mathematics or computational mathematics. Prerequisite: permission of the instructor. Offered as needed.

MTH 591 - Senior Mathematics Seminar
1 Credit(s)
A senior seminar required of mathematics majors and computational mathematics majors. Various mathematical topics will be presented. As part of this seminar, students will be required to prepare and present a combined written report and oral presentation on a mathematical topic or a computational mathematics topic selected in consultation with the course instructor. Prerequisite: a declared major in mathematics or computational mathematics and senior standing or permission of the instructor. Spring, every year.

MTH 597 - Special Problems
1-2 Credit(s)
Investigation of special problems under faculty supervision. Prerequisite: permission of the instructor. Offered as needed.