# Mathematics

## Classes

### MTH 001 : Intermediate Algebra

This course prepares students for College Algebra. Coverage will include basic algebraic operations, polynomials, rational expressions, exponents and radicals, linear equations, quadratic equations, radical equations, absolute value equations, solving inequalities, functions, and graphing. This course may NOT be used to satisfy mathematics proficiency at Lyon College and it does NOT count toward the 120 hours necessary to graduate. It DOES count in a student's course load and DOES count toward a student's GPA. Students who earn less than a 'C' grade in this course must repeat it.

3

#### Prerequisites

Math ACT of 17 or above.

### MTH 101 : College Algebra

A review of algebra and the study of functions, including the polynomial, rational, exponential, and logarithmic functions and their graphs.

3

#### Prerequisites

or Math ACT of 22 or above.

### MTH 103 : College Algebra with Lab

An extended review of algebra and the study of functions, including polynomial, rational, exponential, and logarithmic functions and their graphs.

3

#### Prerequisites

Or Math ACT of 19 or above.

### MTH 105 : Math for Liberal Arts

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

3

#### Prerequisites

Or Math ACT of 19 or above.

### MTH 110 : Elementary Functions

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

3

Or MTH 103

### MTH 115 : Discrete Mathematics

Sets and set operations, combinatorics, and elements of graph theory.

3

Or MTH 103

### MTH 210 : Calculus I

Limits, differentiation, and integration of algebraic, trigonometric, logarithmic, and exponential functions with their applications.

4

#### Prerequisites

MTH 110 or permission of instructor.

### MTH 220 : Calculus II

Applications and techniques of integration, sequences, infinite series, and transcendental functions.

4

#### Prerequisites

MTH 210 or permission of instructor.

### MTH 230 : Calculus III

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.

4

#### Prerequisites

MTH 220 or permission of instructor.

### MTH 290 : Foundations of Modern Mathematics

An introduction to the method of formal proof. Topics include logic, set theory, relations, functions and cardinality.

3

#### Prerequisites

MTH 210 or permission of instructor.

### MTH 300 : Differential Equations

Ordinary differential equations and Laplace transforms.

3

### MTH 330 : Linear Algebra

Algebra of finite dimensional linear spaces, linear transformations and matrices, eigenvalues, and eigenvectors.

3

### MTH 360 : Probability and Statistics

Elementary probability, distribution functions, sampling, and testing statistical hypothesis.

3

### MTH 380 : Modern Geometry

Euclidean and non-Euclidean geometries.

3

### MTH 400 : Secondary Methods in Mathematics

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

3

### MTH 415 : Numerical Analysis

Error analysis, interpolation, approximate differentiation, approximate integration, solutions to differential equations, matrix manipulation, and solutions to systems of linear equations. (Same as CSC 415)

3

#### Prerequisites

MTH 300 and CSC 100 or CSC 115

### MTH 420 : Abstract Algebra I

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.

3

#### Prerequisites

MTH 290 and 330 or permission of instructor.

### MTH 421 : Abstract Algebra II

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

3

### MTH 440 : Advanced Calculus I

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.

3

MTH 220 and 290

### MTH 441 : Advanced Calculus II

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.

3

### MTH 445 : Special Topics

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.

3

### MTH 447 : Mathematics Seminar

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

1 - 4

### MTH 450 : Independent Study

Individual work on special topics in mathematics.

1 - 4