2007-2008 Catalog (PDF) - Colorado State University-Pueblo

Course Descriptions
MATH 350 Probability 3(3-0)
Introduction to probability theory and stochastic processes.
Probability spaces, random variables and their
distributions, exponential and Poisson processes, limit
theorems and applications. Prerequisite: MATH 325. (F)
MATH 356 Statistics for Engineers and Scientists
3(3-0)
Calculus-based introduction to statistical methods.
Sampling distributions, hypothesis testing, linear
regression, design of experiments using ANOVA. Data
analysis with Minitab. Prerequisite: MATH 256 or MATH
350. (S)
MATH 360 Elementary Concepts of Mathematics I
3(3-0)
Development of the real number system and related
concepts, including sets, numeration systems, whole
numbers, integers, fractions, rational numbers, number
theory and algorithms. Prerequisites: Intermediate
Algebra, or equivalent. Recommend MATH 156. (F,S)
MATH 361 Elementary Concepts of Mathematics II
3(3-0)
Conceptual development of fractions, rational numbers,
geometry, measurement, probability and statistics.
Prerequisite: C or better in MATH 360. Recommend
MATH 156. (F,S,SS)
MATH 362 Problem Solving for K-6 Teachers 3(3-0)
This course focuses on the process of mathematical
problem solving. Students will develop and implement
useful heuristics, and reflect on problem solving strategies.
Prerequisites: C or better in both MATH 156 and
MATH 361, or their equivalents. (F,S)
MATH 411 Introduction to Topology 3(3-0)
An introduction to topological spaces, homeomorphisms,
topological properties, and separation axioms. Prerequisite:
MATH 320. (*)
MATH 419 Number Theory 3(3-0)
Divisibility, prime numbers, linear congruences, multiplicative
functions, cryptology, primitive roots, and quadratic
residues. Prerequisite: MATH 307 or MATH 320. (*)
MATH 421 Advanced Calculus I 4(4-0)
An introductory course in real analysis providing a
rigorous development of the concepts of elementary
calculus. Prerequisites: MATH 307 and 3 additional upper
division mathematics courses. (F)
MATH 422 Advanced Calculus II 3(3-0)
Additional topics from elementary real analysis, theory of
multivariable calculus, Stieltjes and line integrals.
Prerequisite MATH 421. (*)
MATH 425 Complex Variables 3(3-0)
An introduction to complex function theory. Complex
numbers, sequences and series, the calculus of complex
functions, analytic functions, and conformal mappings.
Prerequisite: MATH 325. (*)
MATH 445 Discrete Mathematics 3(3-0)
Topics selected from mathematical reasoning, combinatorial
techniques, set theory, binary relations, functions and
sequences, algorithm analysis, and discrete analysis.
Prerequisites: MATH 224, 307 and knowledge of a
programming language. (*)
MATH 456 Design and Analysis of Experiments
3(3-0)
Foundations of experimental design, outline efficient
methods to implement experiments, develop statistical
methods to sort signal from noise, analysis of variance
and response surface models. (*)
MATH 463 History of Mathematics 3(3-0)
Survey of the origins of important mathematical concepts
and of the mathematicians responsible for these discoveries.
Prerequisites: MATH 307 or MATH 320. (F/O)
MATH 477 Materials and Techniques of Teaching
Secondary School Mathematics 4(4-0)
Topics and current issues in secondary mathematics
education, including materials development, learning
theories, instructional and assessment strategies,
curriculum, planning and standards. Field experience
required. Prerequisites: Acceptance into Teacher
Education Program and Math 307 or Math 320. (F/E)
MATH 480 Tutoring Practicum (1-2 VAR)
Participation in tutoring mathematics in the MLC under the
guidance of the MLC Director. May be repeated for a
maximum of two credits. Prerequisites: C or better in
MATH 224 and permission of MLC Director. (S/U grading)
(F,S,SS) Repeatable (2)
MATH 491 Special Topics (1-3 VAR)
Prerequisite: permission of instructor. (F,S) Repeatable
MATH 492 Research (1-3 VAR)
Research project selected by student and supervised by a
regular mathematics faculty member. Prerequisite:
department approval. (F/S) Repeatable
MATH 493 Seminar (1-3 VAR)
Prerequisites: senior standing and permission of
instructor. (F,S) Repeatable
MATH 495 Independent Study (1-3 VAR)
Prerequisites: senior standing and permission of
instructor. (F,S) Repeatable
MATH 498 Internship (1-6 VAR)
Work experience using the discipline of mathematics
under the direction of the selected organization and a
faculty member. Prerequisite: junior or senior standing
and permission of the department chair. (S/U grading)
(F,S,SS) Repeatable
GRADUATE COURSES
MATH 501 Foundations of Mathematics 3(3-0)
Sets, logic, axiomatics, mappings and the various subsystems
of the reals for beginning graduate students.
Prerequisite: permission of instructor. (*)
MATH 507 Linear Algebra 3(3-0)
Vector spaces, linear transformations, matrix representation,
canonical form. Prerequisite: permission of instructor. (*)
MATH 521 Intermediate Analysis 3(3-0)
Point set theory, including the Bolzano-Weierstrass and
the Heine-Borel theorems, theory of differentiation and
Riemann integration, and sequences and series of
functions. Prerequisite: permission of instructor. (*)
MATH 527 Abstract Algebra 3(3-0)
Groups, rings, integral domains, quotient rings, ideals,
fields, homomorphisms and related topics. Prerequisite:
permission of instructor. (*)
MATH 530 Advanced Geometry 3(3-0)
Foundations of geometry, geometric transformations, and
applications. Prerequisite: permission of instructor. (*)
MATH 541 Computers 3(3-0)
The use of the computer in mathematical investigations,
including sophisticated comprehensive computer
programs such as Mathematica. Prerequisite: permission
of instructor. (*)
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