ACADEMIC CATALOG >>
2007-2008
Attention: This catalog is for archival purposes only. Please see www.ccu.edu/catalog for current information.
MAT (Mathematics)
MAT 110 Math Concepts (0)
Gives students an awareness of
the role mathematics plays in today's society and how it is used to understand
and solve relevant problems. Develops a student's numerical literacy to
confidently interpret and communicate numerical information. Topics include a
brief introduction to the principles of logic, numerical concepts and problem
solving, algebraic concepts in the context of mathematical modeling, and
statistical reasoning with an emphasis on descriptive methods. [Used by School
of Adult Studies]
MAT 111 College Algebra (3)
Study of equations,
inequalities, functions, graphs, exponents, logarithms. Prerequisite: MAT098 or
sufficient evidence of appropriate math skills and /or ACT or COMPASS scores.
Meets general education requirements for mathematics.
MAT 130 Introduction to Statistics (3)
Introduction to
probability and statistics with primary focus on collecting, displaying,
analyzing, and interpreting sample data in a variety of situations. Using
experimental and theoretical probabilities as appropriate to formulate and solve
problems involving uncertainty. Application of basic probability distributions
such as the binomial, normal, and chi square. Methods of statistical inference
including parameter estimation and hypothesis testing. Prerequisite:
Intermediate algebra skills.
MAT 141 Calculus I (4)
Derivatives of polynomial and
trigonometric functions, applications of the derivative, the definite integral,
the fundamental theorems of calculus, and applications of integration.
Prerequisites: MAT 115 or equivalent.
MAT 202 Math Literacy (2)
Designed for elementary and
secondary teachers. K-12 mathematical concepts covering the Colorado Model
Content Standards. This course does not meet general education requirements in
Mathematics.
MAT 241 Calculus II (4)
Continuation of MAT 141. Limits,
continuity, derivatives, applications of the derivative, integrals, applications
of integrals, techniques of integration, infinite sequences and series including
Taylor's series. Prerequisite: MAT 141.
MAT 242 Calculus III (4)
Calculus of functions of more
than one variable. Topics include partial derivatives, definite integrals over
planes and solid regions, vectors and their applications, and Green's Theorem
and its generalizations. Prerequisite: MAT 241.
MAT 312 Introduction to Linear Algebra (3)
Study of
matrix algebra and computations, the solution and application of linear systems
of equations. Development of vector space ideas starting with R? moving to R",
and then to the study of abstract vector spaces and their linear
transformations. Applications and computational topics such as LU
decompositions, orthogonal projections and QR decompositions. Brief introduction
to Eigenvectors. Prerequisite: MAT 241.
MAT 314 Abstract Algebra (3)
Axiomatic approach to the
principle structures of modern abstract algebra, including introductions to the
theories of groups, rings, integral domains, and fields. Appropriate
applications introduced. Prerequisite: MAT 310.
MAT 325 Introduction to Discrete Mathematics (3)
Topics
in discrete mathematics including graph theory, combinatorics, and linear
programming. Emphasis will be placed on mathematical modeling of realistic
problems using discrete processes. Prerequisite: MAT 312.
MAT 350 Internship (1-12)
Supervised experience in a
professional setting. Pass/Fail; may be repeated for credit. Junior
standing.
MAT 352 Differential Equations (3)
First, second, and
higher-order equations; systems, approximations, series methods, and
applications in science. Prerequisite: MAT 242.
MAT 390 Directed Study (1-3)
Guided independent
investigation of a topic selected in consultation with the major or minor
advisor. See Academic Policies for guidelines. Dean's approval required. Graded;
may be repeated for credit.
MAT 410 Introduction to Abstract Mathematics
(3)
Introduction to mathematical logic and techniques of formal
proofs. Emphasis on enhancing student's ability to write and understand
mathematical proofs. Rigorous approach to elementary topics such as sets,
relations, and functions and introduction to number theory. Prerequisite: MAT
241.
MAT 420 Probability and Statistics (4)
Basic probability
topics and statistical theory, focusing on data and the skills and mathematical
tools needed to collect and analyze data. Elementary probability including the
study of event trees, conditional probability, and Bayes' Theorem. Basic
distributions (normal, binomial, chi square, exponential, poisson, etc.) used to
model variability in data sets. Methods of statistical inference including
parameter estimation and hypotheses testing. Prerequisite: MAT 241.
MAT 450 Internship (1-12)
Supervised experience in a
professional setting. Pass/Fail; may be repeated for credit. Senior
standing.
MAT 455 Foundations of Geometry (3)
Axiomatic approach
to Euclidean geometry via Hilbert's axioms; introduction to the historical
development of non-Euclidean geometries and questions relating to the parallel
postulate. Prerequisite: MAT 310.
MAT 465 History of Mathematics (2)
History and
development of mathematics with emphasis on understanding the distinctive nature
of mathematical activity and its impact on society. Prerequisite: MAT 310.
MAT 490 Directed Study (1-3)
Guided independent
investigation of a topic selected in consultation with the major or minor
advisor. See Academic Policies for guidelines. Dean's approval required. Graded;
may be repeated for credit.
MAT 497 Special Topics (1-3)
Guided group investigation
and discussion of a selected topic. Graded; may be repeated for credit.
MAT 498 Teaching Assistantship (1)
Supervised and limited
preparation and delivery of lectures, tutoring of students, laboratory
preparation, and assisting in the preparation and grading of examinations.
Pass/Fail; may be repeated for credit.
