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COURSE DESCRIPTIONS (MATH)
MATH 0100 Basic Mathematics
(3) Fall, Spring
An introduction to algebra. Topics include instruction in real numbers, graphs, algebraic expressions, equations, and polynomials.
MATH 1101 College Algebra
(3) Fall, Spring
A study of sets, real numbers, operations, order, inequalities, polynomial factoring, functions, graphs, exponents, first- and second-degree equations, and systems of equations.
Prerequisite: MATH 0100 or satisfactory score on mathematics placement test
MATH 1114 Introduction to Statistics
(3) Fall, Spring
An introduction to probability and statistics. Topics include descriptive statistics, probability, normal probability, confidence intervals, hypothesis testing, and linear regression.
Prerequisite: MATH 1101 or 2105 or 2221
MATH 1117 Quantitative Methods
(3) On demand
A study of finite mathematical models with an emphasis on the quantitative skills required to solve applications related to business.
Prerequisite: MATH 1101 or 2105 or 2221
MATH 1121 A Survey of Calculus
(3) On demand
An intuitive introduction, using technology, to the concepts and applications of calculus. Topics include functions and graphing, tangents to a curve, differentiation and integration, maxima, minima, and area under a curve.
Prerequisite: MATH 1101 or 2105 or satisfactory score on mathematics placement test.
Note: Not open to students who have credit for MATH 2221
MATH 2105 Precalculus
(4) Fall, Spring
A study of calculus-oriented algebra and trigonometry. Topics include simplifying algebraic expressions, solving equations, exponential and logarithmic functions, applications of functions, graphs, and the trigonometric functions.
Prerequisite: MATH 1101 or satisfactory score on mathematics placement test
MATH 2221 Analytic Geometry and Calculus I
(4) Fall, Spring
An introduction to differential and integral calculus. Topics include limits, differentiation and applications, integration and applications, and the calculus of trigonometric functions.
Prerequisite: MATH 2105 or 1121 (and permission of instructor) or satisfactory score on mathematics placement test.
MATH 2222 Analytic Geometry and Calculus II
(4) Fall, Spring
A continuation of Math 2221. Topics include the calculus of the exponential, logarithimic, and inverse trigonometric functions, techniques of integration, indeterminate forms, improper integrals, the parametric equations, polar coordinates, and sequences and series.
Prerequisite: MATH 2221
MATH 2223 Analytic Geometry and Calculus III
(4) Fall
A continuation of the study of the calculus. Topics include the conic sections, functions of two or more variables, partial derivatives, multiple integrals, and vector analysis.
Prerequisite: MATH 2222
MATH 2224 Differential Equations
(3) Spring
A study of first and second order differential equations with applications, numerical methods, and solution in series.
Prerequisite or Co-requisite: MATH 2223
MATH 2261 Calculus Applications
(3) Interim (as possible)
A study of applications which can be solved using calculus. The course will utilize technology, in the form of graphing calculators, a software package (such as Mathematica or Maple), or both.
Prerequisite: MATH 2222
MATH 3001 Mathematical Applications for Teachers
(3) On demand
A study of topics in graph theory, linear programming, scatterplots, least squares regression, topics in coding theory, exponential growth and decay, number patterns, symmetry and tilings.
Prerequisite: MATH 1101 or higher.
Note: Open only to Early Childhood Education Majors
MATH 3002 Geometry for Teachers
(3) On demand
A study of conditional statements, angles, congruent figures, parallel lines, similar figures, transformations, trigonometric ratios, and two- and three-dimensional figures.
Prerequisite: MATH 1101 or higher
Note: Open only to Early Childhood Education Majors
MATH 3003 History of Mathematics for Teachers
(3) Spring 2008
An historical development of mathematical concepts.
Prerequisite: MATH 1101 or higher
Note: Open only to Early Childhood Education Majors
MATH 3004 Probability and Statistics for Teachers
(3) On demand
A study of basic probability and statistics and its applications with an emphasis on the skills required to organize and analyze data as it relates to the education field.
Prerequisite: MATH 1101 or higher
Note: Open only to Early Childhood Education Majors
MATH 3006 A Survey of Mathematics for Teachers
(3) On demand
A study of problem solving techniques selected from the spectrum of mathematical knowledge required of middle grades teachers.
Prerequisite MATH 1101 or higher
Note: Open only to Early Childhood Education Majors
MATH 3101 Fundamental of Mathematics I
(3) Fall 2007 and Spring 2009
A study of topics in mathematics designed for future elementary and middle school teachers who are not getting a concentration in mathematics. Topics will include problem solving, number systems and the relationships between these systems, understanding multiplication and division, including why standard computational algorithms work, properties of arithmetic, and applications of elementary mathematics.
Prerequisite: MATH 1101 or higher
Note: Open only to Early Childhood Education Majors
MATH 3305 Number Theory
(3) On demand
An introduction to number theory.
Prerequisite: MATH 2221
MATH 3306 College Geometry
(3) Spring, odd years
A study of the concepts of plane Euclidean geometry, with an introduction to coordinate geometry and non-Euclidean geometries.
Prerequisite: MATH 2221
MATH 3316 Probability Theory
(3) Spring
An introduction to probability. Topics include random variables, discrete and continuous distributions, the Poisson process, expectation and conditional expectation, and problem solving.
Prerequisite: MATH 2222
MATH 3317 Mathematical Statistics
(3) Fall 2007
An introduction to the mathematical theory of statistics. Topics include estimation and maximum likelihood estimates, sampling distributions, confidence intervals, and hypothesis testing.
Prerequisite: MATH 3316
MATH 3335 Linear Algebra
(3) Spring
An introduction to linear algebra and matrix theory.
Prerequisite: MATH 1121 or 2221
MATH 3340 History of Mathematics. (3) Spring even years
An historical development of mathematical concepts.
Prerequisite: MATH 2221 or permission of instructor
MATH 3342 Complex Variables
(3) On demand
An introduction to complex variables.
Prerequisite: MATH 2222
MATH 3380 Discrete Mathematics
(3) Fall, even years
An introduction to discrete mathematics. Topics include set theory, combinatorics, recurrence relations, linear programming, and graph theory.
Prerequisite: MATH 2221
MATH 3382 Combinatorial Design Theory
(3) Fall, odd years
A study of techniques used for constructing combinatorial designs. Basic designs include triple systems, Latin squares, and affine and projective planes.
Prerequisite: MATH 2221
MATH 4333 Modern Algebra I
(3) Fall, odd years
An introduction to modern abstract algebra.
Prerequisite: MATH 2222
MATH 4334 Modern Algebra II
(3) On demand
A continuation of Modern Algebra I.
Prerequisite: MATH 4333
MATH 4343 Analysis I
(3) Fall, even years
An introduction to Analysis.
Prerequisite: MATH 2223
MATH 4344 Analysis II
(3) On demand
A continuation of Analysis I.
Prerequisite: MATH 4343
MATH 4350 Senior Capstone
(3) Fall
A study of problem solving techniques selected from the spectrum of Mathematics course work required to complete a mathematics major at LaGrange College. Topics come from a variety of areas, including algebra, trigonometry, geometry, calculus, discrete mathematics, probability and statistics, and mathematical reasoning and modeling.
Prerequisite: Senior standing and permission of instructor
MATH 4410 Numerical Methods
(3) On demand
An introduction to numerical analysis with computer solutions. Topics include Taylor series, finite difference, calculus, roots of equations, solutions of linear systems of equations, and least-squares.
Prerequisite: MATH 2222 and CSCI 1990
MATH 4495 Independent Study in Mathematics I
(Variable) On demand
This course allows students to pursue a special problem or topic beyond those encountered in any formal course.
Prerequisites: Minimum prerequisites are outlined in the LaGrange College Bulletin. Additional prerequisites will be determined by the instructor, based on the material to be studied.
MATH 4496 Independent Study in Mathematics II
(Variable) On demand
This course allows students to pursue a second special problem or topic beyond those encountered in any formal course.
Prerequisites: Minimum prerequisites are outlined in the LaGrange College Bulletin. Additional prerequisites will be determined by the instructor, based on the material to be studied.
MATH 4499 Special Topics in Mathematics
(Variable) On demand
A course offered at the junior/senior level focusing on a specialized topic from the field of mathematics. A prerequisite may be required.
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