Part 1 3.7.qxp - Southwestern Oregon Community College

Course Descriptions
MTH251 Calculus I (Differential Calculus)
4 credits (4 lec hrs/wk)
Topics include: pre-calculus concepts and principles;
limits and their properties, continuous functions;
derivatives and their properties; the chain rule, implicit
differentiation; relative extrema, the first and second
derivative tests; applications involving rectilinear motion
of a particle and optimization of functions. This course
covers the standard differential calculus topics required
for engineering, mathematics, and science majors.
Prerequisite: MTH112 with a “C” or better.
MTH252 Calculus II (Integral Calculus)
4 credits (4 lec hrs/wk)
Topics include: antiderivatives, Riemann sums,
integrals and their properties; the first and second
fundamental theorems of calculus; calculation of length,
area, volume, work, and resultant force via integration;
derivatives and integrals of exponential, logarithmic,
hyperbolic, and various inverse functions; indeterminate
forms and L'Hôpital's rule. This course covers the
standard integral calculus topics required for engineering,
mathematics, and science majors.
Prerequisite: MTH251 with a “C” or better.
MTH253 Calculus III (Infinite Sequences and Series)
4 credits (4 lec hrs/wk)
Topics include: principles of integral evaluation,
improper integrals; infinite sequences and series;
convergence tests for infinite series; Taylor series for
functions; translated and rotated conic sections. This
course covers the standard sequences and series
topics required for engineering, mathematics, and
science majors.
Prerequisite: MTH252 with a “C” or better.
MTH254 Vector Calculus I (Introduction to
Vectors and Multidimensional Calculus)
4 credits (4 lec hrs/wk)
Topics include: polar coordinates, conic sections,
parametric equations, three-dimensional space, analytic
geometry, vector algebra, space curves, vector-valued
functions, vector calculus.
Prerequisite: MTH253 with a “C” or better.
MTH255 Vector Calculus II (Differential and
Integral Vector Calculus)
4 credits (4 lec hrs/wk)
Topics include: functions of several variables, partial
derivatives; iterated integration; multiple integrals;
divergence and curl of vector fields; line and surface
integrals; Green's, Gauss', and Stokes' theorems.
Prerequisite: MTH254 with a “C” or better.
MTH256 Differential Equations
4 credits (4 lec hrs/wk)
Topics include: first-order linear and nonlinear ODEs,
second order linear ODEs, series solutions to
second-order linear ODEs, Laplace transforms, systems
of linear ODEs.
Prerequisite: MTH255 with a “C” or better.
MTH260 Matrix Methods and Linear Algebra
4 credits (4 lec hrs/wk)
Topics include: matrix concepts and algebra;
determinants and inverses of matrices; solution methods
for systems of linear equations; linear independence
linear transformations, and vector spaces; bases and
coordinates; eigenvalues and eigenvectors;
diagonalization of matrices. This course covers the
standard linear algebra topics required for engineering,
mathematics, and science majors.
Prerequisite: MTH255 with a “C” or better.
MTH265 Probability and Statistics with Calculus
4 credits (4 lec hrs/wk)
Topics include: probability theory, random variables and
probability distributions, probabilistic expectation,
classical discrete and continuous probability distributions,
sampling theory and sampling distributions; estimation
and confidence intervals, hypothesis tests and statistical
significance, curve fitting and regression analysis. A
calculus-based probability and statistics course
strongly recommended for engineering, mathematics,
and science majors.
Prerequisite: MTH252 with a “C” or better.
MUSIC
All music ensemble credits are transferable and can be
used as elective credits up to 12 credits. Most music
programs require 12 ensemble credits.
MUP105 Jazz Band
1 credit (2 lec-lab hrs/wk)
The sounds of the "Big Band" era. This group performs
regularly both locally and throughout the state. Only
advanced musicians are admitted.
Prerequisite: Instructor consent.
MUP114 Stage Band
1 credit (2 lec-lab hrs/wk)
A performance ensemble which rehearses and
performs the appropriate musical literature chosen by
the instructor. Instruction will be given to individuals as
well as the ensemble as how to improve the overall
musical effect. Pop ballads to jazz, both traditional and
non-traditional. Intermediate and advanced musicians are
admitted. Instructor consent is not required for the
student to register for the class, but the student may be
asked by the instructor to demonstrate their ability.
Southwestern Oregon Community College 2006-07 Catalog www.socc.edu Course Descriptions 188