![[Index]](http://www.ccsf.edu/Catalog/Science/Graphics/btn_indx.gif){kind=small}
![[Search]](http://www.ccsf.edu/Catalog/Science/Graphics/btn_srch.gif){kind=small}
![[Home Page]](http://www.ccsf.edu/Catalog/Science/Graphics/btn_cata.gif){kind=small}
| Mathematics |
To enroll in a particular mathematics course, a student must have satisfied the prerequisites for that course.
CREDIT, NON-DEGREE APPLICABLE COURSES:
It is each student's responsibility to determine which calculus sequence is appropriate for his or her academic program.
MATH E1. Basic Mathematics (Individualized)
(2)
Conf-2.. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .P/NP only
Not open for credit for students who have achieved a satisfactory
score on the City College placement examination in mathematics or who have
passed MATH E3 or EX.
Fundamental concepts and processes of arithmetic, translation of English
statements to arithmetic statements, and solution of applied problems.
Formerly MATH E.
MATH E3. Basic Mathematics (Lecture/Group)
(3)
Lec-3, conf-2.. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .P/NP only
Not open for credit for students who have achieved a satisfactory
score on the City College placement examination in mathematics or who have
passed MATH E1 or E.
Fundamental concepts and processes of arithmetic, translation of English
statements to arithmetic statements, and solution of applied problems.
Formerly MATH EX.
MATH R. Basic Math and Prealgebra Workshop (2)
Conf-3.. .. .. .. .. .. .. .. .. . . .. .. .. .. .. . .. .. .. .. .P/NP only
Coreq.: MATH E1, E3,
EX, or MATH 835
Repeat: max. 8 units
A workshop designed to help students concurrently taking Basic Mathematics
or Prealgebra. Basic Mathematics topics include: fundamental concepts and
processes of arithmetic, translation of English statements to arithmetic
statements and solution of applied problems. Prealgebra topics include:
order of operations, signed numbers, integer exponents, simple equations
and formulas, basic geometrical concepts of length and area, calculator
usage, estimation, number sense and applications. Classwork may include
small group activities, worksheets, and individualized exercises intended
to improve study skills.
MATH S. Elementary Algebra Workshop (2)
Conf-4.. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .P/NP only
Coreq.: MATH 840
Fundamental operations on integers, rational numbers, polynomials,
and algebraic expressions; linear and quadratic equations; linear inequalities;
integer exponents and square roots; graphing; systems of equations; and
applications.
MATH T. Applied Geometry Workshop (2)
Conf-3 .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. ..P/NP only
Coreq.: MATH 850
Standard results of geometry; calculations involving lines, triangles,
polygons, circles, and solids; emphasis on applications.
MATH U. Intermediate Algebra Workshop (2)
Lec-3 .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. ... .. .. .. .P/NP only
Coreq.: MATH 860
Polynomials and rational expressions; radicals and rational exponents;
complex numbers; equations and inequalities; distance formula, lines, circles,
parabolas; introduction to functions and graphs; introduction to exponential
and logarithmic expressions; applications.
CREDIT, DEGREE APPLICABLE COURSES:
MATH 835. Prealgebra (3)
Lec-3, conf-2
Prereq.: MATH E1 or E or E3
or EX or BSMA
G, H,
or J;OR
placement in MATH 835 or 840
Recommended for students who need additional preparation before
taking MATH 840 or introductory courses in chemistry,
physics, engineering technology, economics, or business.
Brief review of basic mathematics; measurement systems (English and
metric); prealgebra topics (order of operations, signed numbers, integer
exponents, square roots, simple equations and formulas, proportions); geometry
topics (length, area, volume, similarity); calculator usage, estimation,
and number sense; introduction to probability and statistics; applications.
MATH 840. Elementary Algebra (3)
Lec-5
Prereq.: MATH E1 or E or E3
or EX or MATH 835 ;OR placement in MATH
840
Fundamental operations on integers, rational numbers, polynomials,
and algebraic expressions; linear and quadratic equations; linear inequalities;
integer exponents and square roots; graphing; systems of equations; and
applications.
The Mathematics Department offers two geometry courses: (1) MATH 850 emphasizes problem solving and applications, and (2) MATH 855 emphasizes proofs and the logical structure of geometry but includes problem solving and applications. Students intending to study advanced algebra, trigonometry, or calculus should take MATH 855.
MATH 850. Applied Geometry (2)
Lec-3
Prereq.: MATH 840; OR placement in MATH 850
Not open for credit to students who have passed MATH
855.
Standard results of geometry; calculations involving lines, triangles,
polygons, circles, and solids. Emphasis on applications.
The distinction between the two geometry courses is explained in the paragraph immediately preceding the course description for MATH 850.
MATH 855. Geometry (3)
Lec-5
Prereq.: MATH 840; OR placement in MATH
855
Lines, triangles, circles, polygons, geometric constructions, space
geometry. Emphasis on proving theorems and on the logical structure of
geometry.
MATH 860. Intermediate Algebra (4)
Lec-4, conf-1
Prereq.: MATH 840; or placement into MATH 860
Advise.: MATH 850 or 855
Polynomials and rational expressions; radicals and rational exponents;
complex numbers; equations and inequalities; distance formula, lines, circles,
parabolas; introduction to functions and graphs; introduction to exponential
and logarithmic expressions; applications.
MATH 70. Mathematics for Liberal Arts Students
(3)
Lec-3
Prereq.: MATH 860 OR placement in MATH
70
Advise: Eligible for ENGL
90 or ESL
72 or 150
or placement in ENGL
92 or ESL
82 or 160
Concepts of mathematics for students with nontechnical goals. Range
of topics from various branches of mathematics. The role of mathematics
in modern society. CSU
MATH 75. Mathematical Analysis for Business
(3)
Lec-3
Prereq.: MATH 92 or 860
Students completing MATH 860 should also
complete MATH 90 before taking MATH 75.
Linear, quadratic, algebraic, exponential, and logarithmic functions with applications to business and economics; interest and ordinary annuity problems; introduction to differential and integral calculus of one variable with applications to business and economics. CSU/UC/CAN
MATH 12
MATH 80. Probability and Statistics (4)
Lec-4
Prereq.: MATH 92 or 860
Descriptive statistics: organization of data; measures of central tendency,
dispersion, and association; linear regression and correlation. Probability
theory. Random variables: expected value, variance, independence, standard
discrete and continuous distributions, and normal approximation. Sampling
and statistical inference: estimating population parameters, interval estimation,
and standard tests of hypotheses. Applications. CSU/UC/CAN
STAT 2
MATH 90. Advanced Algebra (4)
Lec-4, conf-1
Prereq.: MATH 860 AND MATH
850 or 855; OR placement in MATH 90
Not open for credit to students who have passed MATH
92
Geometric transformations and conic sections; real functions and their
graphs; one-to-one and inverse functions; exponential and logarithmic functions;
complex numbers and roots of polynomials; linear systems and matrices;
topics in discrete mathematics. CSU/UC
MATH 92. College Algebra (5)
Lec-5
Prereq.: MATH 840 AND MATH
850 or 855; OR placement in MATH 92
Recommended for students with strong mathematics capabilities.
Not open for credit to students who have passed MATH
90.
Polynomials and rational expressions; radicals and rational exponents;
complex numbers; equations and inequalities; distance formula, lines, and
circles; geometric transformations and conic sections; real functions and
their graphs; one-to-one and inverse functions; roots of polynomials; linear
systems and matrices; topics in discrete mathematics. CSU/CAN
MATH 10
MATH 95. Trigonometry (3)
Lec-3
Prereq.: MATH 92 or 860;
ANDMATH
855 or 850
Students completing MATH 860 should also complete MATH
90 before taking MATH 95.
Circular (trigonometric) functions, identities, and equations; graphs
of circular functions; arcfunctions (inverse trigonometric functions);
triangles; complex numbers. CSU/CAN
MATH 8
MATH 97. Precalculus Mathematics (5)
Lec-5
Prereq.: MATH 95; AND MATH
90 or 92; AND MATH
850 or 855
An intensive, comprehensive review for students who have successfully
completed trigonometry and advanced algebra but need review before beginning
a calculus course.
Polynomials and rational expressions; radicals and rational exponents;
complex numbers; equations and inequalities; distance formula, lines, and
circles; geometric transformations and conic sections; real functions and
their graphs; one-to-one and inverse functions; roots of polynomials; circular
(trigonometric) functions, identities, and equations; graphs of circular
functions; arcfunctions (inverse trigonometric functions); triangles; linear
systems and matrices; topics in discrete mathematics. CSU/UC/CAN
MATH 16
The Mathematics Department offers two calculus sequences: (1) MATH 100A-100B is intended for students majoring in business, technology, social sciences, or life sciences and (2) MATH 110A-110B-110C is intended for students majoring in mathematics, computer science, engineering, or physical sciences.
It is each student’s responsibility to determine which calculus sequence is appropriate for his or her academic program.
MATH 100A. Short Calculus I (3)
Lec-3
Prereq.: MATH 95; AND MATH
90 or 92; AND MATH
850 or 855
The calculus sequence MATH 100A-100B is intended for students majoring
in business, technology, social sciences, or life sciences.
Lines, algebraic functions, exponential functions, logarithmic functions,
limits, derivatives, and integrals, with applications. CSU/UC/CAN
MATH 30 (CAN MATH SEQ D = MATH 100A+100B)
MATH 100B. Short Calculus II (3)
Lec-3
The calculus sequence MATH 100A-100B is intended for students majoring
in business, technology, social sciences, or life sciences.
Prereq.: MATH 100A
Calculus of trigonometric functions, techniques of integration, Taylor
polynomials, multivariable calculus, and differential equations, with applications.
CSU/UC/CAN
MATH 32 (CAN MATH SEQ D = MATH 100A+100B)
The distinction between the two calculus sequences is explained in the paragraphs immediately preceding the course description for MATH 100A.
MATH 110A. Calculus I (4)
Lec-4, conf-1
Prereq.: MATH 95; AND MATH
90 or 92; AND MATH
850 or 855
Functions and graphs, geometric transformations, conic sections; limits,
continuity, differentiation, and integration of algebraic and circular
functions, with applications. CSU/UC/CAN
MATH 18 (CAN MATH SEQ B = MATH 110A+110B)
MATH 110B. Calculus II (4)
Lec-4, conf-1
Prereq.: MATH 110A
Differentiability of inverse functions; transcendental functions; indeterminate
forms; integration techniques, numerical integration, improper integrals;
polynomial approximation; sequences and series; power series; plane vectors,
parametrized curves, polar coordinates. CSU/UC/CAN
MATH 20 (CAN MATH SEQ B = MATH 110A+110B)
MATH 110C. Calculus III (4)
Lec-4, conf-1
Prereq.: MATH 110B
Space vectors, vector functions and space curves; partial differentiation;
scalar and vector fields, vector differential operators; multiple integration,
Jacobians; line integrals, path independence, and scalar potentials; surface
integrals; theorems of Green, Stokes, and Gauss. CSU/UC/CAN
MATH 22 (CAN MATH SEQ C = MATH 110A+110B+110C)
MATH 115. Discrete Mathematics (3)
Lec-3
Prereq.: MATH 110B or 100B
Set theory, logic, relations and functions, mathematical induction
and recursion, combinatorics, discrete probability, trees and graphs, analysis
of algorithms, algebraic structures. Emphasis on topics of interest to
mathematics and computer science students. CSU/UC/CAN
CSCI 26
MATH 120. Linear Algebra (3)
Lec-3
Prereq.: MATH 110C
Systems of linear equations, matrix algebra, determinants, vector spaces,
linear transformations, eigenvalues and eigenvectors. CSU/UC/CAN
MATH 26
MATH 125. Differential Equations (3)
Lec-3
Prereq.: MATH 110C
Ordinary differential equations, existence and uniqueness of solutions,
linear differential equations, systems of differential equations, series
solutions, Laplace transforms, Fourier series, partial differential equations.
CSU/UC/CAN
MATH 24
MATH 130. Linear Algebra and Differential
Equations (5)
Lec-5
Prereq.: MATH 110C
Systems of linear equations, matrix algebra, determinants, vector spaces,
linear transformations, eigenvalues and eigenvectors; ordinary differential
equations, existence and uniqueness of solutions, linear differential equations,
systems of differential equations, series solutions, Laplace transforms,
Fourier series, partial differential equations. CSU/UC
MATH 199. Special Topics in Mathematics (3)
Lec-3 .. .. .. .. .. .. .. .. .. .. .. P/NP avail.
Prereq.: Varies with course content
Repeat: max. 9 units
The content of this course varies. CSU (UC upon review)