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# Mathematics

Program Description
Successful completion of this major will assure competence in mathematics
through differential and integral calculus, providing an adequate background
for employment in many technological and scientific areas as well as providing
a firm foundation for students planning advanced study.

Associate in Arts Degree
An Associate in Arts Degree can be obtained upon completion of 60 units,
including the 18 -19 unit major listed below with a grade of “C” (2.0) or better
in each course, general education requirements, and electives.

Required Courses

 Units MATH 20—Analytic Geometry and Calculus 4 MATH 21—Analytic Geometry and Calculus 4 MATH 22—Analytic Geometry and Calculus 4 MATH 23—Differential Equations (3 units O R MATH 11—Elementary Statistics (4 units) O R MATH 12—Mathematical Ideas (3 units) O R MATH 15—Finite Mathematics (3 units) 3-4 MATH 40—Intro. to Linear Algebra 3 18-19 Recommended Elective: MATH 60

NOTE: Specific graphing calculators are required in some
math courses.

MATH 2 3 Units
Algebra for Calculus (College Algebra) (F/S-Day &
Night)
Prerequisites: A grade of "C" or better in MATH 104 . SCC
minimum English standard. Designed to develop the
skills and introduce the concepts necessary for further
study in mathematics, and facilitate the application of
those skills and concepts to other fields. Included is a
review of elementary set algebra; the algebra of
functions; the real and complex numbers as a field;
algebraic, exponential, and logarithmic functions;
equations and inequalities of these functions; solution
of linear systems, matrix algebra, and introduction to
sequences and series. (CAN MATH 10) Three hours
lecture, one hour lab.

MATH 4 5 Units
Pre-Calculus Mathematics (F/S-Day)
Prerequisites: A grade of "C" or better in MATH 103 and
104. NOTE: Not open to students who have completed
MATH 51 or MATH 2 with a grade of “C” or better.
Course Advisory: SCC minimum English standard. A
comprehensive study of the mathematics that is
prerequisite to the calculus sequence. Topics included
are the elementary functions and their graphs,
methods of solving equations and systems of
equations, applied problems that are relevant to
calculus, analytic geometry and mathematical
induction. (CAN MATH 16). Five hours lecture, one
hour lab.

MATH 11 4 Units
Elementary Statistics (F/S-Day & Night)
Prerequisites: A grade of "C" or better in MATH 104.
Course Advisory: Eligibility for ENGL 1. An introduction
to elementary probability and statistics including the
basic rules of probability, probability distributions,
descriptive statistics, hypothesis testing, estimation,
correlation and regression analysis. (CAN STAT 2).
Four hours lecture, one hour lab.

MATH 12 3 Units
Mathematical Ideas
Prerequisite: A grade of "C" or better in MATH 104.
Course Advisory: SCC minimum English standard. Math
ideas is an introduction to the diversity of mathematics
through the examination of ideas from logic, sets, the
numeration systems, and other topics from
contemporary mathematics. The emphasis is on
problem solving. (CAN MATH 2). Three hours lecture.

MATH 15 3 Units
Finite Mathematics (On demand)
Prerequisites: A grade of "C" or better in MATH 104.
Course Advisory: SCC minimum English standard. An
introduction of finite mathematical methods including
topics from set theory, matrix algebra, combinatorial
analysis, and probability with application to statistics,
linear programming, Markov chains, and game theory.
Includes the application of these methods to business,
biology, computer science, and the social sciences.
(CAN MATH 12). Three hours lecture, one hour lab.

MATH 20 4 Units
Analytic Geometry and Calculus I (F-Day & Night; SDay)
Prerequisites: Grades of "C" or better in MATH 2 and 51, or
MATH 4. Not open to students who have successfully
completed MATH 28 with a grade of “C” or better. Course
Advisory: SCC minimum English standard. MATH 20, the
first of the three-semester sequence in Analytic
Geometry and Calculus for students majoring in
mathematics, engineering, and most physical sciences,
is the study of the differential and integral calculus of
functions of one variable. Topics covered are limits,
continuity, differentiation of algebraic and
transcendental functions, applications of the derivative,
definite and indefinite integrals, fundamental theorem
of calculus, and applications of the definite integral.
(CAN MATH 18) (MATH 20 & 21 = CAN MATH SEQ
B) (MATH 20, 21, & 22 = CAN MATH SEQ C). Five
hours lecture, one hour lab.

MATH 21 4 Units
Analytic Geometry and Calculus II
(F-Day; S-Day & Night)
Prerequisites: A grade of "C" or better in MATH 20. Course
Advisory: SCC minimum English standard. Math 21, the
second of the three-semester sequence in Analytic
Geometry and Calculus for students majoring in
mathematics, engineering, and most physical sciences,
continues the study of the differential and integral
calculus of functions of one variable. Topics included
are introduction to differential equations, computing
area and volume, applications and techniques of
integration, polar coordinates, infinite series, improper
integrals, and L’Hopital’s Rule. (CAN MATH 20)
(MATH 20 & 21 = CAN MATH SEQ B) (MATH 20, 21,
& 22 = CAN MATH SEQ C). Five hours lecture, one hour
lab.

MATH 22 4 Units
Analytic Geometry and Calculus III (F/S-Day)
Prerequisites: A grade of “C” or better in MATH 21.
Course Advisory: SCC minimum English standard. Math
22, the third of the three-semester sequence in Analytic
Geometry and Calculus for students majoring in
mathematics, engineering, and most physical sciences,
is a study of three-dimensional analytic geometry,
vectors and vector-valued functions, functions of
several variables, the calculus of these functions, and
vector analysis including Green’s and Stokes’
theorems. (CAN MATH 22) (MATH 20, 21, & 22 =
CAN MATH SEQ C). Four hours lecture, one hour lab.

MATH 23 3 Units
Differential Equations (F/S-Day)
Prerequisite: A grade of “C” or better in MATH 21. Course
Advisory: SCC minimum English standard. This course
covers ordinary differential equations emphasizing
linear differential equations and systems with
applications to engineering, physics, and chemistry.
Included are La Place transforms and power series
methods of solution. (CAN MATH 24). Four hours
lecture.

MATH 30 3 Units
Analytic Geometry and Calculus (F/S-Day & Night)
Prerequisites: A grade of "C" or better in MATH 104.
NOTE: Not open to students who have completed MATH
20 or 28 with a grade of “C” or better. Course Advisory:
SCC minimum English standard. MATH 30 and 31 is a
two-semester sequence in analytic geometry and
calculus for students majoring in business, biological,
and social sciences. This is not the calculus course for
students majoring in mathematics, engineering or the
physical sciences. MATH 30 covers differential and
integral calculus of a single variable. Topics include
limits, continuity, derivatives of algebraic and
transcendental functions and their applications,
integrals and their applications, and plane analytic
geometry. (CAN MATH 30) (MATH 30 & 31 = CAN
MATH SEQ D). Three hours lecture, one hour lab.

MATH 31 3 Units
Analytic Geometry and Calculus (F/S-Day & Night)
Prerequisites: MATH 30 with a grade of “C” or better.
Course Advisory: SCC minimum English standard. A
continuation of the calculus of functions of one
variable (MATH 30). Topics included are the
fundamental theorem of calculus, techniques of
integration, numerical methods of integration,
functions of several variables, elementary differential
equations, and infinite series. (CAN MATH 32)
(MATH 30 & 31 = CAN MATH SEQ D) Three hours
lecture, one hour lab.

MATH 40 3 Units
Introduction to Linear Algebra (F/S-Day)
Prerequisites: A grade of "C" or better in MATH 20 or 30.
NOTE: A relatively high degree of mathematical maturity is
required for this course. Course Advisory: SCC minimum
English standard. An introduction to linear algebra, with
a focus on finite dimensional real vector spaces. Topics
include systems of linear equations and matrices, linear
transformations, general vector spaces, eigenvectors
and eigenvalues and associated eigenspaces, inner
products and orthogonality. (CAN MATH 26). Three
hours lecture, one hour lab.

MATH 51 3 Units
Trigonometry (F/S-Day & Night)
Prerequisites: A grade of "C" or better in MATH 103 and
104. Course Advisory: SCC minimum English standard.
Presents the essentials of plane trigonometry to prepare
students for subsequent studies in physics, calculus or
related technical programs. Topics include definitions
of the trigonometric functions and inverse
trigonometric functions, solutions of triangles and
applied problems, graphs, trigonometric identities and
equations, and the trigonometric form of complex
numbers. (CAN MATH 8). Three hours lecture, one hour
lab.

MATH 52 1 Unit
Calculus Prep Boot Camp (On demand)
Prerequisite: A grade of "C" or better in MATH 2 AND
MATH 51, OR MATH 4. Course Advisory: Eligibility for
ENGL 1. An introduction to some of the ideas of
calculus using a "hands on", intuitive approach. The
emphasis is on learning strategies, collaborative
learning, and developing math study skills. This is a
credit/no credit only course. Two hours activity.

MATH 60 .5 Unit
Introduction to the Use of Technology in
Mathematics (On demand)
An introduction to the functions of a scientific
graphing calculator or a mathematical computer
software package and their uses as tools in
mathematical problem solving. The topics covered will
be useful in current and subsequent math courses.
Students may be required to have a specific model
calculator as indicated by the instructor. The course is
designed for students who are or will be enrolled in a
math course that uses technology to solve problems
from the course content outline. This is a credit/no
credit only course. One hour lecture per week (8 week
course).

MATH 102 5 Units
Elementary Algebra (F/S-Day & Night)
Prerequisites: MATH 320 with a grade of “C” or better.
NOTE: Not open to students who have passed MATH 107.
Course Advisory: SCC minimum English standard.
Introductory examination of the structure of the
number system. Covers such topics as an introduction
to set operations, the field axioms of the real numbers,
and the properties of the whole number exponents.
Emphasizes operations with fundamental expressions;
solutions of first degree equations, inequalities and
linear systems. Introduces absolute value, radical and
quadratic equations, applied problems involving first
and second degree equations in one variable, pointslope
and slope-intercept equations of lines and their
graphs, and the concepts of relations and functions.
Five hours lecture, one hour lab.

MATH 103 3 Units
Plane Geometry (F/S-Day & Night)
Prerequisite: A grade of "C" or better in MATH 102 or
MATH 108. Course Advisory: SCC minimum English
standard. The study of Euclidean (plane) geometry
through conjecture, proof, and problem solving. Topics
include the mathematical relationships of angles,
parallels, triangles, quadrilaterals, circles, and solids.
covered. Three hours lecture, one hour lab.

MATH 104 5 Units
Intermediate Algebra (F/S-Day & Night)
Prerequisites: A grade of "C" or better in MATH 102 or
MATH 108. Course Advisory: SCC minimum English
standard. An extension of the fundamental algebraic
concepts developed in elementary algebra. Additional
topics include arithmetic operations on functions;
composition of functions; basic graphing techniques;
linear, and polynomial functions; equations of the
second degree and their graphs; complex numbers; and
systems of linear equations in two and three variables.
Five hours lecture, one hour lab.

MATH 107 2.5 Units
Elementary Algebra, Part I (F/S-Day & Night)
Prerequisites: MATH 320 with a grade of “C” or better.
Course Advisory: SCC minimum English standard.
Introductory examination of the structure of the
number system. Covers such topics as an introduction
to the concept of set operations, the field axioms of the
real numbers, order of operations, properties of whole
number exponents, variables, variable expressions,
operations with monomials, definition of a polynomial,
addition and subtraction of polynomials, linear
equations, graphing linear equations, linear
inequalities, and systems of linear equations, solutions
of first degree equations and inequalities in one
variable, and applications. A student must take MATH
108 to complete Elementary Algebra. Students who
pass MATH 107 are not eligible for MATH 102. Two
and one-half hours lecture, one hour lab.

MATH 108 2.5 Units
Elementary Algebra, Part II (F/S-Day & Night)
Prerequisites: A grade of "C" or better in MATH 107.
Course Advisory: SCC minimum English standard. Covers
such topics as multiplication and division of
polynomials, factoring, solving quadratic equations by
factoring, operations with rational expressions,
simplifying rational expressions, solutions of equations
containing rational expressions, roots, radicals and the
quadratic formula, and introduction to functions. Two
and one-half hours lecture, one hour lab.

MATH 112 3 Units
Algebraic Reasoning
Prerequisites: MATH 102 or MATH 108 with a grade of
"C" or better. Course Advisory: SCC minimum English
standard. Students will develop their ability to solve
problems with algebraic reasoning. Topics including
financial math, voting methods, apportionment, and
probability have been chosen for their “real-world”
applicability and usefulness. Additional topics may be
picked by the instructor from various fields of
mathematics such as geometry, linear programming,
statistics, graph theory, set theory and number theory.
Three hours lecture, one hour lab.

MATH 304 1-3 Units
Arithmetic (Self-Paced) (F/S-Day & Night)
Prerequisite: None. NOTE: Students who have completed
MATH 310 are not eligible to enroll in MATH 304. May
not be taken concurrently with MATH 310. Course
Advisory: SCC minimum English standard. An
individualized course in basic mathematical
computations designed to improve arithmetic skills
and prepare the student for a pre-algebra level math
course. The first unit is whole numbers and fractions.
The second unit is decimals and percents. The third
unit is simple geometry, basic statistics, and
measurements. This is an open entry/open exit,
credit/no credit only course. May be repeated to a
maximum of 3 units, including initial enrollment.
Three hours lecture.

MATH 310 3 Units
Arithmetic (Lecture)
Prerequisite: None. NOTE: Not open for credit to
students who have completed 1 unit or more of MATH
304. May not be taken concurrently with MATH 304.
Course Advisory: SCC minimum English standard. A
course in basic mathematical computations designed
to improve arithmetic skills and prepare the student
for a pre-algebra level math course. Major topics
include whole numbers, fractions, decimals,
percents, simple geometry, measurement, and basic
statistics. Three hours lecture.

MATH 320 3 Units
Pre-algebra
Prerequisite: Three units of credit in MATH 304, or a
grade of “C” or better in MATH 310, or three units of
credit in BUS 181 with a grade of “C” or better. Course
Advisory: SCC minimum English standard. A course in
pre-algebra designed to prepare the student for
transition into a beginning algebra course. Major
topics include operations on integers and rational
numbers, the order of operations, introduction to
variables, simplifying and evaluating expressions,
solving basic linear equations, basic geometry,
graphing, and application problems. Three hours
lecture, one hour lab.

SPECIAL TOPICS
These courses, numbered 48, 98 or 148 depending
upon their transferability, are courses of
contemporary interest centered on changing
knowledge and important issues in the field.
Announcements of Special Topics courses appear in
the Schedule of Classes.
Mathematics