#
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 1121 A Survey of Calculus.
**
(3) Fall (even years)

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 Mathematics placement

recommendation

Note: Not open to students who have credit for MATH 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) Fall

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) Spring

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 in MATLAB for the Sciences.
**
(3) Interim (on demand)

A first course in MATLAB that ranges from basic programming to the implementation
of higher-level mathematics and data presentation techniques.

Prerequisite: MATH 2222

**MATH 3092 Informatics/Data Mining.
**
(3) Spring

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 3101 Fundamentals of Mathematics I for Teachers.
**
(3) Spring

A study of topics in mathematics designed for future elementary and middle school
teachers who are not pursuing the concentration in Mathematics. Topics 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 3102 Fundamentals of Mathematics II for Teachers.
**
(3) Fall

A study of topics in mathematics designed for future elementary and middle school
teachers who are not pursuing the concentration in Mathematics. Topics include
numbers and operations, algebra, geometry, data analysis, statistics, probability,
and measurement. Technology is used when appropriate.

Prerequisite: MATH 1101 or higher

Note: Open only to Early Childhood Education majors

MATH 3185 Mathematical Modeling.
(3) Spring

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) 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) Interim (on demand)

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 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) Spring

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) Interim (on demand)

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) 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
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) 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.