 Mathematics Courses | Lyon College

# Mathematics Courses MTH 101 COLLEGE ALGEBRA / 3 credits

Review of algebra, including the real number system, and study of functions, including the exponential and polynomial.

MTH 105 MATH FOR LIBERAL ARTS / 3 credits

Exponential growth and decay, simple interest, compound interest, inflation, loans, combinations, permutations, probability, odds, expectation, frequency distributions, descriptive statistics, and the normal distribution. Prerequisite: MTH 101.

MTH 110 ELEMENTARY FUNCTIONS / 3 credits

Exponential, logarithmic, and trigonometric functions and elementary matrix theory including determinants and systems of equations in preparation for calculus. Prerequisite: MTH 101.

MTH 115 DISCRETE MATHEMATICS / 3 credits

Sets and set operations, combinatorics, and elements of graph theory. Prerequisite: MTH 101.

MTH 210 CALCULUS I / 4 credits

Limits, differentiation, and integration of algebraic, trigonometric, logarithmic, and exponential functions with their applications. Prerequisite: MTH 110 or permission of instructor.

MTH 220 CALCULUS II / 4 credits

Applications and techniques of integration, sequences, infinite series, and transcendental functions. Prerequisite: MTH 210 or permission of instructor.

MTH 230 CALCULUS III / 4 credits

Vectors and polar coordinates, functions of several variables, partial differentiation, multiple integration, and line integrals, as well as Green’s Theorem, Stokes’ Theorem, and Gauss’ Theorem. Prerequisite: MTH 220 or permission of instructor.

MTH 290 FOUNDATIONS OF MODERN MATHEMATICS / 3 credits

An introduction to the method of formal proof. Topics include logic, set theory, relations, functions and cardinality. Prerequisite: MTH 210 or permission of instructor.

MTH 300 DIFFERENTIAL EQUATIONS / 3 credits

Ordinary differential equations and Laplace transforms. Prerequisite: MTH 220.

MTH 330 LINEAR ALGEBRA / 3 credits

Algebra of finite dimensional linear spaces, linear transformations and matrices, eigenvalues, and eigenvectors. Prerequisites: MTH 220.

MTH 360 PROBABILITY AND STATISTICS / 3 credits

Elementary probability, distribution functions, sampling, and testing statistical hypothesis. Prerequisite: MTH 220.

MTH 380 MODERN GEOMETRY / 3 credits

Euclidean and non-Euclidean geometries. Prerequisite: MTH 290.

MTH 400 SECONDARY METHODS IN MATHEMATICS / 3 credits

Preparation of mathematics students for their roles as secondary mathematics teachers.

MTH 415 NUMERICAL ANALYSIS / 3 credits

Error analysis, interpolation, approximate differentiation, approximate integration, solutions to differential equations, matrix manipulation, and solutions to systems of linear equations. Prerequisites: MTH 300 and CSC 115 or 140. (Same as CSC 415).

MTH 420 ABSTRACT ALGEBRA I / 3 credits

An introduction to the algebraic structure of the integers and groups, including equivalence relations, subgroups, normal subgroups, homomorphisms, Lagrange’s theorem, and Sylow’s theorem. Prerequisite: MTH 290 and 330 or permission of instructor.

MTH 421 ABSTRACT ALGEBRA II / 3 credits

A continuation of MTH 420, including rings, fields, Galois theory, and solvability by radicals. Prerequisite: MTH 420.

MTH 440 ADVANCED CALCULUS I / 3 credits

The real numbers; series; continuous, uniformly continuous, differentiable, and integrable functions; sequences; compact sets; the Heine-Borel theorem; the Bolzano-Weierstrass theorem; limits; and the fundamental theorem of calculus. Prerequisite: MTH 220 and 290.

MTH 441 ADVANCED CALCULUS II / 3 credits

A continuation of MTH 440 to multivariate calculus, including sequences and series of functions, uniform convergence and power series, partial derivatives, the Inverse and Implicit Function Theorems, and multiple integrals. Prerequisites: MTH 440.

MTH 445 SPECIAL TOPICS / 3 credits

An exploration of one or more advanced undergraduate topics in mathematics not included in the list of courses in the catalog. The course name and appropriate prerequisites will be announced well in advance.

MTH 447 MATHEMATICS SEMINAR / 1-4 credits

Taken in the senior year, resulting in a paper to be presented to the faculty.

MTH 450 INDEPENDENT STUDY / 1-4 credits

Individual work on special topics in mathematics.        