# Mathematics Courses

COURSE DESCRIPTIONS (MATH)
(Textbook Information)

MATH 0100 Basic Mathematics.

(3) Fall and Spring
An introduction to algebra. Topics include instruction in real numbers, graphs, algebraic expressions, equations, and polynomials.

MATH 1101 College Algebra.
(3) Fall and 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 Mathematics placement recommendation

MATH 1114 Introduction to Statistics.
(3) Fall and Spring
An introduction to probability and statistics. Topics include descriptive statistics, probability, normal probability, confidence intervals, hypothesis testing, and linear regression.
Prerequisite: MATH 1101, 2105, or 2221

MATH 2105 Precalculus.
(4) Fall and 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 Mathematics placement recommendation

MATH 2221 Analytic Geometry and Calculus I.

(4) Fall and Spring
An introduction to differentiation and integral calculus. Topics include limits, differentiation and applications, integration, and the calculus of exponential and logarithmic functions.
Prerequisite: MATH 2105 or 1121 (and permission of instructor) or satisfactory Mathematics placement recommendation

MATH 2222 Analytic Geometry and Calculus II.
(4) Fall and Spring
A continuation of MATH 2221. Topics include the applications of integration, the calculus of inverse trigonometric functions, techniques of integration, indeterminate forms, improper integrals, sequence and series, and the parametric equations, and the polar coordinates.
Prerequisite: MATH 2221

MATH 2223 Analytic Geometry and Calculus III.
(4) Spring
A continuation of MATH 2222. Topics include vectors and vector-valued functions of several variables, multiple integration, and vector analysis.
Prerequisite: MATH 2222

MATH 2224 Differential Equations.
(3) Fall
An introduction to differential equations. Topics include the study of first and second-order differential equations, first-order systems, linear systems, Laplace transforms, and numerical methods.
Prerequisite or Co-requisite: MATH 2223, 2241, or permission of instructor

MATH 2241 Programming for the Sciences.
(4) Fall
A first course in mathematical programming in MATLAB that ranges from basic programming to the implementation of higher-level mathematics. Additional topics include learning a typesetting system (LaTeX) for producing technical and scientific documentation.
Prerequisite: MATH 2221

MATH 3092 Informatics/Data Mining.
(3) Spring (odd years)
A study of the storage of data and the procedures used to extract and organize valuable information.
Prerequisites: MATH 2221, CSCI 1990 or MATH2241, and CSCI 3250 or permission of instructor

MATH 3185 Mathematical Modeling.

(3) Spring (even years)
A thorough introduction to mathematical modeling techniques. Topics include the quantification of physical processes, model predictions and natural systems, and model comparisons and results.
Prerequisites: MATH 2221, CSCI 1990, and MATH 2241 or permission of instructor

MATH 3225 Introduction to Partial Differential Equations and Boundary Value Problems.
(3) Spring (on demand)
Topics include Fourier Series, the Wave Equation, the Heat Equation, Laplace's Equation, Dirichlet Problems, Sturm-Liouville Theory, the Fourier Transform, and Finite Difference Numerical Methods.
Prerequisite: MATH 2224

MATH 3306 College Geometry.
(3) Fall (odd years beginning 2017)
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 (odd years)
An Introduction to probability theory. Topics include random variables, method of enumeration, conditional probability, Baye‘s theorem, discrete distributions (binomial distribution, and Poisson distribution), continuous distributions (uniform distribution, exponential distribution, gamma distribution, chi-square distribution, and normal distributions), Multivariate distributions.
Prerequisite: MATH 2222

MATH 3317 Mathematical Statistics.
(3) on demand
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) Fall beginning 2016
An introduction to linear algebra and matrix theory. Topics include vectors, systems of linear equations, matrices, eigenvalues, eigenvectors, and orthogonality.
Prerequisite: MATH 1121, 2221, 2241, or permission of instructor

MATH 3340 History of Mathematics.
(3) Fall (even years beginning 2016)
An historical development of mathematical concepts.
Prerequisite: MATH 2221 or permission of instructor

MATH 3342 Complex Variables.
(3) Spring (even years)
An introduction to complex variables. Topics include complex numbers, analytic functions, elementary functions, complex integration, series representations for analytic functions, residue theory, and conformal mapping.
Prerequisite: MATH 2223

MATH 3380 Discrete Mathematics.
(3) Spring (odd 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) Spring (even 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 coursework 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 I.
(3) Spring (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.
Prerequisites: MATH 2222 and CSCI 1990

MATH 4411 Numerical Methods II.
(3) on demand
A second course in numerical analysis with computational solutions. Topics include solutions to ordinary and partial differential equations, higher-order quadratures, curve-fitting, and parameter estimation.
Prerequisite: MATH 4410

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.