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MATH 010
F Basic Mathematics (4)
Four hours lecture and one hour arranged per week. This course is an
intensive review of the fundamentals of arithmetic. The course includes:
operations of arithmetic with whole numbers, fractions, decimals;
percent; estimation; equations and applied problems; introduction to the
metric system; and the arithmetic of denominate numbers. Calculators
will be required for selected topics. (Non-degree credit).
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MATH
015 F Pre-Algebra (4)
Prerequisite:
MATH 010 F Basic Mathematics with a grade of C or better, or math
skills clearance.
Four hours lecture and one hour arranged per week. This course
includes: operations on integers, fractions, mixed numbers and decimals,
ratio, proportion and percentages, working with variable expressions;
interpretation of statistical graphs; measurement and geometry; and an
introduction to polynomials and graphing. Calculators will be required
for selected topics. (Non-degree credit.)
MATH
020 F Elementary Algebra (4)
Prerequisite:
MATH 015 F Pre-Algebra with a grade of C or better or math
skills clearance.
Four hours lecture and one hour arranged per week. This course
includes the properties of real numbers, factoring, exponents and
radicals, solving and graphing linear equations, polynomials and
rational algebraic expressions and linear systems of equations.
Calculators will be required for selected topics. (Non-degree credit)
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MATH
030 F Plane geometry (4)
Prerequisite:
MATH 020 F Elementary Algebra with a grade of C or better
or math skills clearance.
Four hours lecture plus one hour arranged per week. This course is an
introduction to Euclidean geometry. It includes theorems and proofs,
sets, congruent and similar polygons, circles, geometric constructions,
areas, volumes, geometric loci, elementary logic, and deductive
reasoning. Calculators may be required for selected topics. (Non-degree
Credit)
MATH
040 F Intermediate Algebra (4)
Prerequisite:
Math 020 F Elementary Algebra with a grade of C or better or
math skills clearance.
Four hours of lecture and one hour arranged per week. This course
includes products and factoring, exponents and radicals, fractions,
functions and graphs, linear and quadratic equations, linear
inequalities, logarithms, and related topics at an intermediate level.
Calculators will be used for selected topics. (Degree credit) AA GE
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MATH
100 F Liberal Arts Mathematics (3)
Prerequisite:
MATH 040 F Intermediate Algebra with a grade of Cor better
or math skills clearance..
Three hours lecture per week. This is a survey course with selected
topics from the history and development of mathematics, patterns and
inductive reasoning, set theory and deductive reasoning, the real number
system, algebra, geometry, probability, statistics, and problem solving.
It is designed for students majoring in liberal arts, education or
communication. Calculators or computers may be used for selected topics.
(CSU)(UC) (Degree Credit) AA GE, CSU GE, IGETC
MATH
120 F Introductory Probability and Statistics (4)
(CAN STAT 2)
Prerequisite:
MATH 040 F Intermediate Algebra with a grade of C or better
or math skills clearance..
Four hours lecture per week. This course covers descriptive
statistics, elementary probability theory and inferential statistics.
Topics covered include: summarizing data in tables and graphs,
computation of descriptive statistics, sample spaces, classical
probability theory, rules of probability, probability distributions,
confidence intervals for population parameters, hypothesis testing,
correlation and regression and Chi-Square Distribution with
applications. Scientific and/or Graphing Calculators will be used
extensively throughout the course. Computers, utilizing MINITAB will be
used for various topics. Students who receive credit for Math 120 F may
not receive credit for Social Science 120 F. (CSU)(UC Credit Limitation:
MATH 120 F or MATH 120HF and PSY 161 F combined, maximum one
course)(Degree Credit) AA GE, CSU GE, IGETC
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MATH
120HF Honors Introductory Probability and Statistics (4)
Prerequisite
MATH 040 F Intermediate Algebra with a grade of C or better
or math skills clearance..
Four hours lecture per week. An enriched approach designed for honors
students. This course covers descriptive statistics, elementary
probability theory and inferential statistics. Topics covered include:
summarizing data in tables and graphs, computation of descriptive
statistics, sample spaces, classical probability theory, rules of
probability, probability distributions, confidence intervals for
population parameters, hypothesis testing, correlation and regression
and Chi-Square Distribution with applications. Scientific and/or
Graphing Calculators will be used extensively throughout the course.
Computers, utilizing MINITAB will be used for various topics. Students
who receive credit for Math 120HF may not receive credit for SOSC 120 F.
(CSU) (UC Credit Limitation: MATH 120 F or MATH 120HF and PSY 161 F
combined, maximum one course.)(Degree Credit) AA GE, CSU GE, IGETC
MATH
129 F College Algebra for Business Calculus (4)
Prerequisite:
Math 40 Intermediate Algebra with a grade of C or better
or math skills clearance..
Four hours lecture per week. This course includes a review of basic
topics from intermediate algebra, equations and inequalities, functions
and graphing including exponential and logarithmic functions, building
mathematical models in business and economics, systems of equations and
matrices, financial applications of sequences and series, and an
introduction to spreadsheets and/or graphing software. The course is
designed for students planning to enroll in MATH 130 F Business
Calculus. A scientific calculator will be required; a graphing
calculator may be required. (This course does not meet requirements in
the Business Division and will not substitute for BUS 151 F Business
Mathematics. See Business and Computer Information Systems Division for
Business requirements)(CSU) (UC Credit Limitation) (Degree Credit) AA
GE, CSU GE
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MATH
130 F Calculus for Business (4)
(CAN MATH 34)
Prerequisite: Math 129 F College Algebra for Business Calculus with a
grade of “C” or better or math skills clearance.
Four hours lecture per week. This is an introductory study that
includes fundamentals of analytic geometry and calculus; differential
calculus, integral calculus, and selected applications of calculus;
functions and managerial planning and their use in economics and
business. The course also includes an introduction to linear algebra. A
scientific calculator will be required; a graphing calculator may be
required. Computer applications may be included. (UC credit Limitation;
MATH 130 F combined with MATH 150AF; maximum credit, one course) (CSU)
(Degree Credit) AA GE, CSU GE, IGETC
MATH
141 F College Algebra (4)
(CAN MATH 10)
Prerequisite:
MATH 040 F Intermediate Algebra and MATH 030 F Plane Geometry with grades
C or better or math skills clearance.
This course may be taken prior to or concurrently with MATH 142 F
Trigonometry. Both MATH 141 F and MATH 142 F are required for enrollment in MATH 150AF
Calculus I.
Four hours lecture and one hour arranged per week. This is a
one-semester course designed to prepare students for the study of
calculus. The topics to be covered include review of the fundamentals of
algebra, relations, functions, solutions of first-and second- degree
equations and inequalities, systems of equations, matrices and
determinants, binomial theorem, mathematical induction, polynomial
functions, exponential and logarithmic functions, analytic geometry and
conic sections, geometric and arithmetic sequences and series, and
miscellaneous topics. Graphing calculators will be incorporated. (CSU) (UC
Credit Limitation; MATH 141 F and MATH 129 F; maximum combined credit,
one course) (Degree credit) AA GE, CSU GE, IGETC
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MATH
142 F Trigonometry (4)
(CAN MATH 8)
Prerequisite:
MATH 040 F Intermediate Algebra and MATH 030 F Plane Geometry with grades of
C or better or math skills clearance.
This course may be taken prior to or concurrently with MATH 141 F College
Algebra. Both MATH 141 F and MATH 142 F are required for enrollment in MATH 150AF Calculus I.
Four hours lecture and one hour arranged per week. This is a
one-semester course in trigonometry designed to prepare students for the
study of calculus. The topics to be covered include the following:
algebraic skills, measurements of angles, trigonometric functions and
inverse trigonometric functions, trigonometric equations and identities,
graphing of trigonometric functions, solutions of triangles,
applications, complex numbers, polar coordinates, DeMoivre’s Theorem.
Calculators will be used for selected topics.
(CSU) (Degree credit) AA GE, CSU GE
MATH
150AF Calculus I (4)
(CAN MATH 18)
(MATH
150AF + MATH 150BF = CAN MATH SEQ B)
(MATH
150AF + MATH 150BF + MATH 250AF = CAN MATH SEQ C)
Prerequisite : MATH 14 1 F College Algebra and MATH 142 F
Trigonometry with a grade of “C” or better or math skills clearance
Four hours lecture per week. This is a beginning calculus course
covering limits and continuity, differentiation of algebraic,
transcendental and inverse functions, applications of differentiation,
antiderivatives and indefinite integrals, and the definite integral.
Graphing calculators will be used for selected topics. (CSU)(UC Credit
Limitation; Math 150AF combined with MATH 130 F and MATH 160 F; maximum
credit, one course)(Degree credit) AA GE, CSU GE, IGETC
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MATH
150BF Calculus II (4)
(CAN MATH 20)
(MATH
150AF + MATH 150BF = CAN MATH SEQ B)
(MATH
150AF + MATH 150BF + MATH 250AF = CAN MATH SEQ C)
Prerequisite: MATH 150AF Calculus I with a grade of “C” or
better.
Four hours lecture per week. This is a second semester course
covering differential equations, applications of integration,
integration techniques, L'Hopital's Rule, improper integrals, sequences
and series, conics, parametric equations, and polar coordinates.
Graphing calculators will be used for selected topics.
(CSU)(UC)(Degree Credit) AA GE, CSU GE, IGETC
MATH 171 F Discrete Mathematics
(4)
Prerequisite:
MATH 141 F College Algebra and MATH 142 F Trigonometry, both with a grade of
C or better or math skills clearance.
Four hours lecture per week. This is the first of two semesters of
fundamental discrete mathematical concepts needed in computer related
disciplines. The topics covered include logic, truth tables, Boolean
algebra, logic circuits, elementary set theory, functions, relations,
proof techniques, combinatorics, elementary probability, and recurrence
relations. (CSU) (UC) (Degree Credit) AA GE, CSU GE, IGETC
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MATH 172 F Graph Theory and Linear
Algebra (4)
Prerequisite: Math 171 F Discrete
Mathematics with a grade of C or
better.
Four hours lecture per week. This is the second of two semesters of
fundamental discrete mathematical concepts and techniques needed in
computer related disciplines. Topics include the theory of graphs,
trees, finite state machines, and linear algebra including matrix
operations, eigenvalues, vector spaces, linear transformations, and
inner product spaces. (CSU) (UC) (Degree credit) AA GE, IGETC
MATH
203 Mathematics for Future Elementary Teachers (3)
Prerequisite:
MATH 100 F and MATH 030 F with a graph of "C or better.
Three hours lecture per week. This course is designed for prospective
elementary teachers. Topics covered include: problem-solving techniques,
whole numbers and numeration, set theory, elementary number theory,
integers, rational numbers, ratios, proportions, decimals, and percents.
The course includes instruction delivery design and activity-based
explorations. (CSU) AA GE
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MATH
250AF Intermediate Calculus (4)
(CAN MATH 22)
(MATH
150AF + MATH 150BF + MATH 250AF = CAN MATH SEQ C)
Prerequisite:
MATH 150BF Calculus II with a grade of C or better.
Four hours lecture per week. This is a third semester course in
calculus covering conic sections, solid analytic geometry, vectors in
three dimensions, vector calculus, differential calculus of functions of
several variables, multiple integration, vector fields and theorems.
Hand calculators will be used for selected topics.
(CSU)(UC)(Degree credit) AA GE, CSU GE, IGETC
MATH
250BF Linear Algebra and Differential Equations (4)
(CAN
MATH 24)
Prerequisite:
MATH 250AF Intermediate Calculus with a grade of C or
better.
Four hours lecture per week. This is a fourth semester course in
calculus covering matrices, determinants, vector spaces, ordinary
differential equations of the first order, linear differential
equations, power series solutions, and Laplace transformations. Hand
calculators will be used for selected topics.
(CSU) (UC) (Degree Credit) AA GE, CSU GE, IGETC
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MATH
250CF Additional Topics in Linear Algebra (2)
Corequisite:
MATH 250BF Linear Algebra and Differential Equations taken concurrently
or completed with a grade of
C or better.
Two hours lecture per week. This course completes the introduction to
Linear Algebra begun in MATH 250BF. Topics covered include linear
transformations and their properties, the Dimension-sum theorem,
matrices of linear transformations, inner product spaces and their
properties, orthogonality, the Gram-Schmidt process, diagonalizability
of symmetric matrices, and simplifying quadratic forms.
(CSU)(UC)(Degree credit) AA GE
MATH
299 F Mathematics Independent Study (1-1-1-1)
One to three hours lecture or scheduled conferences per week or
equivalent. This course is for able students who wish to increase their
knowledge of pure and/or applied mathematics through individual study
and small group conferences. Elective credit in Mathematics. Course may
be taken four times for credit.
(CSU)(UC review required)(Degree credit)
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