Page 191 - 2019-20 GCC Catalog

188 MATHEMATICS

108 110A 112
ORDINARY DIFFERENTIAL PRECALCULUS I CALCULUS FOR BUSINESS
EQUATIONS 3.5 Units 5.0 Units
5.0 Units MATH 110A is the fi rst of two courses MATH 112 is a one semester course in calcu-
MATH 108 covers the solution of ordinary that prepares students for calculus. Topics lus for business, management, and social
diff erential equations using various tech- include fi rst and second-degree equations science majors. Topics in this course include:
niques including variation of parameters, and inequalities, the study of functions and techniques of diff erentiating, maximum-
the Laplace transform, power series, and their graphs (polynomial, absolute value, minimum problems, curve sketching,
numerical methods. Systems of linear radical, rational, exponential, logarithmic), derivatives and applications of exponential
diff erential equations and an introduction and remainder and factor theorems. Addi- and logarithmic functions, techniques of
to nonhomogeneous linear systems are also tional topics include a review of geometry, integration, simple diff erential equations,
covered. Applications are drawn from the followed by an introduction to trigonometric the calculus of functions of several variables,
physical sciences. Lecture 5 hours. Prereq- functions, solving right triangles, elementary including Lagrange multipliers and multiple
uisite: MATH 104. Recommended Prepara- trigonometric identities, inverse trigonomet- integration. Lecture 5 hours. Prerequisite:
tion: MATH 105. Course Typically Off ered: ric functions, and solving triangles using the Placement is based on a composite of test
Fall/Spring. Transfer Credit: CSU, UC, USC. Laws of Sines and the Law of Cosines. Note: scores and academic background or satisfac-
(C-ID MATH 240) A maximum of 3 units may be earned from tory completion of MATH 118, MATH 101, or
the combination of MATH 110A and MATH MATH 120, or MATH 220B. Recommended
108H 100. No credit will be given for MATH 110A if Preparation: MATH 100. Course Typically
HONORS ORDINARY DIFFERENTIAL a student has successfully completed MATH Off ered: Fall/Spring. Transfer Credit: CSU,
EQUATIONS 110 or MATH 100 and MATH 102. Lecture UC, USC. (C-ID MATH 140)
5.0 Units
3 hours/Laboratory 1.5 hour. Prerequisite:
MATH 108 covers the solution of ordinary MATH 101 or MATH 120 or MATH 220B 118
diff erential equations using various tech- Course Typically Off ered: Winter/Spring/ ELEMENTARY AND INTERMEDIATE
niques including variation of parameters, Summer/Fall. Transfer Credit: CSU, UC, ALGEBRA FOR STEM
the Laplace transform, power series, and USC. 6.0 Units
numerical methods. Systems of linear MATH 118 is an accelerated course combin-
diff erential equations and an introduction 110B ing the second half of Elementary Algebra
to nonhomogeneous linear systems are also PRECALCULUS II with Intermediate Algebra. Topics include
covered. Applications are drawn from the 3.5 Units fundamental laws, linear and absolute value
physical sciences. The honors section of this MATH 110B is the second of two courses that equations and inequalities, systems of linear
course features more theory and proof, and prepares students for calculus. Topics include and nonlinear equations and inequalities,
one or more projects related to the topics of the study of trigonometric functions, their Cramer’s Rule, factoring, quadratic equations
this course. Lecture 5 hours. Prerequisite: inverses and their graphs, identities and their and inequalities, fractional exponents, radi-
MATH 104. Recommended Preparation: proofs, trigonometric equations, and graphs cal and rational expressions and equations,
MATH 105. Course Typically Off ered: Fall/ of polar equations. Additional topics include functions and inverse functions, algebra of
Spring. Transfer Credit: CSU, UC, USC. (C-ID complex numbers, graphs of parametric functions, curve plotting, graphs of func-
MATH 240) equations and conic sections, linear and tions, exponential and logarithmic functions,
nonlinear systems of equations, the binomial conic sections, arithmetic and geometric
110 theorem, partial fraction decomposition, sequences and series, the binomial theorem.
PRECALCULUS introduction to vectors, and mathematical This course is preparation primarily for
6.0 Units
induction. Note: No credit will be given for students entering college algebra, precalcu-
MATH 110 is an accelerated precalculus MATH 110B if a student has successfully lus, or business calculus. Note: This course
course which prepares students for calculus. completed MATH 110 or MATH 100 and may not be taken for credit by students who
Topics include polynomial, absolute value, MATH 102. Lecture 3 hours/Laboratory 1.5 have completed MATH 101, 120, or 220B. A
radical, rational, exponential, logarithmic, hour. Prerequisite: MATH 110A. Course maximum of 6 units of credit will be granted
and trigonometric functions and their Typically Off ered: Winter/Spring/Summer/ for Mathematics 118, 146, 246A, and 246B.
graphs, inverses, zeroes and applications. Fall. Transfer Credit: CSU, UC, USC. (MATH A maximum of 7 units will be granted for
Inequalities, trigonometric identities, conic 110A&B C-ID MATH 211) MATH 118 and 131, OR a maximum of 9
sections, polar equations, parametric equa- units will be granted for MATH 118 and
tions, systems of equations and mathemati- 130. Lecture 5 hours/Laboratory 3 hours.
cal induction are also covered. Lecture 6 Prerequisite: Placement is based on satisfac-
hours. Prerequisite: Placement is based on a tory completion of MATH 144, MATH 145,
composite of test scores and academic back- or MATH 245B.
ground or satisfactory completion of MATH
101 or MATH 120 or MATH 220B Course
Typically Off ered: Spring/Summer/Fall.
Transfer Credit: CSU, UC, USC.

2019–2020 C A T ALOG • G LEND ALE C OMMUNITY C OLLEGE