ACADEMIC CATALOG - Purdue University Calumet

MA 221 CALCULUS FOR TECHNOLOGY I
(Class 4, Cr. 4)
Prerequisite: MA 148 with a C or better - NOT open students with
credit in MA 163 MA 223 or MA 225.
MA 221, 222 is a two semester sequence in the techniques of
calculus for students enrolled in certain technical curricula.
MA 221 develops topics from analytic geometry and introduces
differentiation and integration and their applications.
MA 222 CALCULUS FOR TECHNOLOGY II
(Class 3, Cr. 3)
Prerequisite: MA 221 with a C or better - NOT open to students with
credit in MA 224 or 164.
Covers differentiation and integration of trigonometric, exponential,
and logarithmic functions, infinite series, and firstorder
differential equations.
MA 223 INTRODUCTORY ANALYSIS I
(Class 3, Cr. 3)
Prerequisite: MA 154 with a C or better
MA 223 and 224 form a two-course sequence and provide an
introduction to the differential and integral calculus of one
and several variables, and elementary differential equation,
with applications to business, behavioral and biological sciences.
Students may not have credit in more than one of the
following: MA 163, MA 221, MA 223 or MA 225.
MA 224 INTRODUCTORY ANALYSIS II
(Class 3, Cr. 3)
Prerequisite: MA 223 with a C or better - NOT open to students with
credit in MA 164 or 222.
Continuation of MA 223.
MA 225 CALCULUS FOR BUSINESS AND ECONOMICS
(Class 3, Cr. 3)
Prerequisite: MA 153 with a C or better - Not open to students with
credit in MA 163, MA 221 or MA 223.
Functions and Limits. Differentiation and integration of
algebraic functions of one variable. Applications of
differentiation and integration.
MA 261 MULTIVARIATE CALCULUS
(Class 4, Cr. 4)
Prerequisite: MA 164 with a C or better
Solid analytic geometry, partial differentiation, multiple integrals.
MA 264 DIFFERENTIAL EQUATIONS
(Class 3, Cr. 3)
Prerequisite: MA 261 with a C or better - Not open to students with
credit in MA 262
A first course in ordinary differential equations. First order
differential equations, linear and nonlinear systems of differential
equations, and second order differential equations.
MA 265 LINEAR ALGEBRA
(Class 3, Cr. 3)
Prerequisite: MA 164 with a C or better - Not open to students with
credit in MA 262
An introduction to linear algebra. Systems of linear equations,
matrix algebra, vector spaces, determinants, eigenvalues,
eigenvectors, diagonalization of matrices, applications.
MA 330 CONCEPTS IN GEOMETRY
(Class 3, Cr. 3)
Prerequisite: MA 261 with a C or better
Fundamental concepts in geometry. Euclidean, non-Euclidean
(including spherical and hyperbolic geometry) and fractal geometry.
MA 345 CODING AND INFORMATION THEORY
(Class 3, Cr. 3)
Prerequisite: MA 265 with a C or better
An introduction to topics in coding and information theory:
error-detecting and error-correcting codes, variable-length
codes, decoding, entropy, information, channel capacity,
Shannon's theorems, basics of algebraic coding theory.
MA 348 DISCRETE MATHEMATICS
(Class 3, Cr. 3)
Prerequisite: MA 265 with C or better.
A problem-centered introduction to topics in discrete mathematics
including induction, permutations, combinations
graphs, recurrence relations and generating functions.
MA 351 ELEMENTARY LINEAR ALGEBRA
(Class 3, Cr. 3)
Prerequisite: MA 261 with a C or better - Not open to students with
credit in MA 265 or 350
Systems of linear equations, finite dimensional vector spaces,
matrices, determinants, applications to analytical geometry.
MA 446 INTRODUCTION TO REAL ANALYSIS
(Class 3, Cr. 3)
Prerequisite: MA 265 and MA 264 and MA 315 with a C or better
An introduction to basic concepts of real analysis. Topology
of the real line, sequences, series, and various forms of convergence.
Applications to derivatives and integrals.
MA 453 ELEMENTS OF ALGEBRA
(Class 3, Cr. 3)
Prerequisite: MA 265 and MA 315 with a C or better
Some basic properties of integers, polynomials, and fields
(subfields) of the complex numbers, finite fields with
emphasis on concrete examples and applications.
MA 454 GALOIS THEORY
(Class 3, Cr. 3)
Prerequisite: MA 453 with a C or better
Field extensions and automorphisms. Galois Theory.
MA 472 INTRODUCTION TO APPLIED MATHEMATICS
(Class 3, Cr. 3)
Prerequisite: MA 265 and MA 264 and CS 206 with a C or better.
An introduction to the basic ideas and methods of applied
mathematics. Topics taken from elementary partial differential
equations, separation of variables and Fourier series, Fourier
transforms, calculus of variations, applied linear algebra,
numerical methods, modeling.
Course Descriptions
MA 312 PROBABILITY
(Class 3, Cr. 3)
Prerequisite: MA 261 with a C or better
A calculus-based introduction to probability theory and stochastic
processes. Topics include probability spaces, random
variables, distributions, expectation conditional probability,
and discrete-state-space Markov chains.
MA 315 INTRODUCTION TO ABSTRACT MATHEMATICS
(Class 3, Cr. 3)
Prerequisite: MA 261 with a C or better
This course is a bridge from the mainly computational mathematics
courses to the upper-level abstract courses. It focuses
on the development of students’ abilities to construct proofs,
examples and counterexamples.
MA 480 THE PRACTICUM IN APPLIED MATHEMATICS
(Class 3, Cr. 3)
The practicum course consists of a small team (a faculty
advisor and 1-4 students) working on a real problem obtained
in conjunction with a local business or industry. Not more
then two terms of MA 480 and/or CS 480 may be taken for
credit. (This course is the same as CS 480.)
MA 490 TOPICS IN MATHEMATICS FOR
UNDERGRADUATES
(Class 0 to 5, Cr. 1 to 5)
Supervised reading and reports in various fields. Open only
to students with the consent of the department.
Course Descriptions
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