2011 General CataloG & announCement of Courses - Ventura College

MATH V10A - PREALGEBRA: MODULE I - 1 Unit
Recommended preparation: MATH V09 or MATH V09A-V09C or
equivalent or math assessment test
Hours: 1 lecture weekly
This course is the first of a three-course sequence (MATH V10A-
V10C). Completion of all three courses is equivalent to MATH
V10. This sequence of courses bridges the gap between arithmetic
and elementary algebra. This first course in the sequence reviews
fundamental operations using a formalized approach and includes an
introduction to the algebraic topics of number systems, properties
of real numbers and application problems. Under the guidance of the
instructor, students will complete self-paced interactive competencybased
computer assignments, including possible review of previously
learned topics. More than one course in the sequence may be
completed within the term. Students receiving credit in MATH V10A-
V10C will not receive credit in MATH V10.
Offered on a pass/no pass basis only. Not applicable for degree
credit.
MATH V10B - PREALGEBRA: MODULE II - 1 Unit
Prerequisite: MATH V10A
Hours: 1 lecture weekly
This course is the second of a three-course sequence (MATH
V10A-V10C). Completion of all three courses is equivalent to MATH
V10. This sequence of courses bridges the gap between arithmetic
and elementary algebra. This second course in the sequence
reviews fundamental operations using a formalized approach and
includes an introduction to the algebraic topics of number systems,
properties of real numbers, exponents, algebraic expressions, and
application problems. Under the guidance of the instructor, students
will complete self-paced interactive competency-based computer
assignments, including possible review of previously learned topics.
More than one course in the sequence may be completed within the
term. Students receiving credit in MATH V10A-V10C will not receive
credit in MATH V10.
Offered on a pass/no pass basis only. Not applicable for degree
credit.
MATH V10C - PREALGEBRA: MODULE III - 1 Unit
Prerequisite: MATH V10B
Hours: 1 lecture weekly
This course is the third of a three-course sequence (MATH V10A-
V10C). Completion of all three courses is equivalent to MATH V10.
This sequence of courses bridges the gap between arithmetic and
elementary algebra. This third course in the sequence includes
an introduction to the algebraic topics of linear equations, linear
inequalities, application problems, and graphing. Under the guidance
of the instructor, students will complete self-paced interactive
competency-based computer assignments, including possible review
of previously learned topics. More than one course in the sequence
may be completed within the term. Students receiving credit in MATH
V10A-V10C will not receive credit in MATH V10.
Offered on a pass/no pass basis only. Not applicable for degree
credit.
MATH V11A - ELEMENTARY ALGEBRA: FIRST HALF - 3 Units
Prerequisite: MATH V10 or MATH V10A-V10C or 1 year of high
school prealgebra with grade of C or better
Hours: 2 lecture, 2 lecture-laboratory weekly
This course is the first half of Elementary Algebra. It covers
number sets, operations with signed numbers, linear equations and
inequalities, polynomials and factoring, and introduction to quadratic
equations. Students receiving credit in MATH V11A-V11B will not
receive credit in MATH V01 or MATH V01A-V01E.
Formerly Math 11A.
MATH V11B - ELEMENTARY ALGEBRA: SECOND
HALF - 3 Units
Prerequisite: MATH V11A with grade of C or better
Hours: 2 lecture, 2 lecture-laboratory weekly
This course is the second half of Elementary Algebra. It covers
rational expressions, further study of quadratic equations, graphing
of equations and inequalities, systems of equations, and roots and
radicals. Students receiving credit in MATH V11A-V11B will not
receive credit in MATH V01 or MATH V01A-V01E.
Formerly Math 11B.
MATH V20 - PRECALCULUS MATHEMATICS - 5 Units
Prerequisite: MATH V05 or the fourth year of high school
mathematics (advanced mathematics) with grade of C or better
Hours: 5 lecture weekly
This course covers college algebra and an extension of
trigonometry using a functional approach designed to unify the
concepts of mathematics at the precalculus level.
Formerly Math 20. Transfer credit: CSU; UC; credit limitations -
see counselor.
MATH V21A - CALCULUS WITH ANALYTIC
GEOMETRY I - 5 Units
Prerequisite: both MATH V04 and MATH V05 with grades of C or
better; or MATH V20 with grade of C or better; or the fourth year of
high school mathematics (advanced mathematics) with grade of C
or better
Hours: 5 lecture weekly
The elements of calculus covered are: functions; limits;
continuity; differentiation and integration of algebraic, logarithmic,
and trigonometric functions; and L’Hopital’s Rule. There will be
applications to a variety of topics from other disciplines.
Formerly Math 21A. Transfer credit: CSU; UC; credit limitations -
see counselor.
MATH V21B - CALCULUS WITH ANALYTIC
GEOMETRY II - 5 Units
Prerequisite: MATH V21A or equivalent with grade of C or better
Hours: 5 lecture weekly
Topics covered include: review differentiation and integration of
logarithmic and exponential functions; infinite series; techniques of
integration; and, polar and parametric representations and improper
integrals. There will be applications to conic sections and a variety of
topics from other disciplines.
Formerly Math 21B. Transfer credit: CSU; UC; credit limitations -
see counselor.
MATH V21C - MULTIVARIABLE CALCULUS - 5 Units
Prerequisite: MATH V21B or equivalent with grade of C or better
Hours: 5 lecture weekly
This course includes: vectors in two and three dimensions; planes,
lines and surfaces in space; vector-valued functions and motion in
space; partial differentiation; multiple integrals including change of
variables; vector fields, including gradient, divergence, and curl; line
and surface integrals; and Green’s Theorem, Stokes’ Theorem and
the Divergence Theorem.
Formerly Math 21C. Transfer credit: CSU; UC.
MATH V24 - DIFFERENTIAL EQUATIONS WITH LINEAR
ALGEBRA - 5 Units
Prerequisite: MATH V21B or equivalent with grade of C or better
Hours: 5 lecture weekly
This course is an introduction to ordinary and partial differential
equations and the linear algebra needed for their formulation and
solution. Methods of solution for differential equations will include:
matrix methods; integral transforms (including Laplace methods
and Fourier series); power series; boundary value problems and
numerical approximations.
Formerly Math 24. Transfer credit: CSU; UC.
172 Credit Courses, Degrees, Certificates, and Awards Ventura College Catalog 2010 - 2011