MathOnline
Course Catalog
Academic Year 2008/2009
Calculus I
Fall 2008 only. Math 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 only. Math 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 only. Math 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.
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