Department of Mathematics

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Course Catalog  

 

REQUIRED TEXTBOOKS AND OTHER MATERIALS

MathOnline Course Catalog
Academic Year 2008/2009

Calculus I   Fall 2008 onlyMath 135, Section C01. 4 semester credit hours.
       Live lecture Fall 2008:   MWF   10:50am - 12:05pm.     Mr. William Kiele
Selected topics in analytical geometry and calculus.  Rates of change of functions, limits, derivatives of algebraic and transcendental functions, applications of derivatives, and integration.  Prerequisite:  Satisfactory completion of a standard full year high school level precalculus course, or a passing score on the Calculus Readiness Exam 
(contact the MathOnline program mathon@uccs.edu for more information.)

Calculus II   Fall 2008 and Spring 2009.   Math 136 Section C01.  4 semester credit hours. 
         Live lecture Fall 2008:          MWF    9:25am  - 10:40am.      Dr. Dorrington
Continuation of Calculus I (Math 135).  Transcendental functions, techniques and applications of integration, Taylor's theorem, improper integrals, infinite series, analytic geometry, polar coordinates, introduction to differential equations.  Prerequisite: satisfactory completion of a course similar to Calculus I (Math 135), or a score of 3 or more on the AP Calculus AB or BC exam.

Calculus III   Fall 2008 and Spring 2009.   Math 235 Section C01. 4 semester credit hours.
         Live lecture Fall 2008:         TRF   10:50am  -  12:05pm.   Mrs. Michaux
Continuation of Calculus II (Math 136). Parametric curves, vector functions, partial differentiation, multiple integrals, Green's Theorem and Stoke's Theorem. Prerequisite: satisfactory completion of  a course similar to Calculus II (Math 136), or a score of 4 or more on the AP Calculus BC exam.

Discrete Mathematics   Fall 2008 only. Math 215 Section C01.  3 semester credit hours. 
          Live lecture Fall 2008:       TR  1:40pm - 2:55pm.     Mrs. Michaux
Includes study of set theory, logic, number theory, recursion, combinatorics, and graph theory. Emphasis on ideas and methods of mathematical proof.   Prerequisite:  satisfactory completion of  at least one semester of calculus.

Introduction to Linear Algebra   Fall 2008 onlyMath 313 Section C01.  3 semester credit hours. 
            Live lecture Fall 2008:    TR 3:05pm - 4:20pm         Dr. Son
Includes study of systems of linear equations, matrices, vector spaces, linear independence,   basis dimension, determinants, linear transformations and matrices, eigenvalues and eigenvectors.  Prerequisite:  satisfactory completion of at least one semester of calculus.

Theory of Numbers   Spring 2009 only.  Math 311 Section C01.  3 semester credit hours. 
             Live lecture
Spring 2009:    TBA
A careful study, with emphasis on proofs, of the following topics associated with the set of integers: divisibility, congruences, arithmetic functions, sums of squares, quadratic residues and reciprocity, and elementary results on distributions of primes.  Prerequisites: Math 215 (Discrete Mathematics), and either Math 136 (Calculus 2) or score of 4 or 5 on the AP Calculus AB or BC exam. 

Intro to Differential Equations   Spring 2009 onlyMath 340 Section C01.  3 semester credit hours. 
              Live lecture: Spring 2009:   TBA
Includes study of first order differential equations, linear differential equations, the Laplace transform method, power series solutions, numerical solutions, and linear systems. Prerequisite: satisfactory completion of at least two semesters of calculus,  including the study of series and sequences and improper integrals. 

Note:  100-level courses are courses that students would under normal circumstances take during their freshman year at the university, 200-level courses during their sophomore year, and 300-level courses during their junior year.