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Mathematics 183

105H 108 110A
HONORS MULTIVARIABLE AND ORDINARY DIFFERENTIAL PRECALCULUS I
VECTOR CALCULUS EQUATIONS 3.5 Units
5.0 Units 5.0 Units MATH 110A is the fi rst of two courses
MATH 105H is a course in vector calculus. MATH 108 covers the solution of ordinary that prepares students for calculus. Topics
Topics covered include vector functions, diff erential equations using various tech- include fi rst and second-degree equations
vector diff erentiation, parametric equations, niques including variation of parameters, and inequalities, the study of functions and
vectors in two, three, and higher dimensional the Laplace transform, power series, and their graphs (polynomial, absolute value,
space, multiple integration, and an introduc- numerical methods. Systems of linear radical, rational, exponential, logarithmic),
tion to vector analysis including divergence, diff erential equations and an introduction and remainder and factor theorems. Addi-
curl, Green’s and Stokes’ Theorems. The to nonhomogeneous linear systems are also tional topics include a review of geometry,
honors section of this course features more covered. Applications are drawn from the followed by an introduction to trigonometric
theory and proof, and one or more projects physical sciences. Lecture 5 hours. Prereq- functions, solving right triangles, elementary
related to the topics of the course. Lecture 5 uisite: MATH 104. Recommended Prepara- trigonometric identities, inverse trigonomet-
hours. Prerequisite: MATH 104. Course tion: MATH 105. Course Typically Off ered: ric functions, and solving triangles using the
Typically Off ered: Fall/Spring. Transfer Fall/Spring. Transfer Credit: CSU, UC, USC. Laws of Sines and the Law of Cosines. Note:
Credit: CSU, UC, USC. (C-ID MATH 230) (C-ID MATH 240) A maximum of 3 units may be earned from
the combination of MATH 110A and MATH
107 108H 100. No credit will be given for MATH 110A if
LINEAR ALGEBRA HONORS ORDINARY DIFFERENTIAL a student has successfully completed MATH
5.0 Units EQUATIONS 110 or MATH 100 and MATH 102. Lecture
MATH 107 covers the topics of vector spaces, 5.0 Units 3 hours/Laboratory 1.5 hour. Prerequisite:
linear transformations and matrices, matrix MATH 108 covers the solution of ordinary MATH 101 or MATH 120 or MATH 220B
algebra, determinants, eigenvalues and diff erential equations using various tech- Transfer Credit: CSU, UC, USC. (MATH
eigenvectors, and solutions of systems of niques including variation of parameters, 110A&B C-ID MATH 955)
equations. Solution techniques include row the Laplace transform, power series, and
operations, Gaussian elimination and matrix numerical methods. Systems of linear 110B
algebra. Specifi c topics in vector spaces and diff erential equations and an introduction PRECALCULUS II
matrix theory include inner products, norms, to nonhomogeneous linear systems are also 3.5 Units
orthogonality, eigenvalues, eigenspaces, covered. Applications are drawn from the MATH 110B is the second of two courses that
linear transformations and applications. physical sciences. The honors section of this prepares students for calculus. Topics include
Lecture 5 hours. Prerequisite: MATH 104. course features more theory and proof, and the study of trigonometric functions, their
Recommended Preparation: MATH 105. one or more projects related to the topics of inverses and their graphs, identities and their
Course Typically Offered: Fall/Spring. this course. Lecture 5 hours. Prerequisite: proofs, trigonometric equations, and graphs
Transfer Credit: CSU, UC, USC. (C-ID MATH 104. Recommended Preparation: of polar equations. Additional topics include
MATH 250) MATH 105. Course Typically Off ered: Fall/ complex numbers, graphs of parametric
Spring. Transfer Credit: CSU, UC, USC. (C-ID equations and conic sections, linear and
107H MATH 240) nonlinear systems of equations, the binomial
HONORS LINEAR ALGEBRA theorem, partial fraction decomposition,
5.0 Units 110 introduction to vectors, and mathematical
MATH 107H covers the topics of vector PRECALCULUS induction. Note: No credit will be given for
spaces, linear transformations and matrices, 6.0 Units MATH 110B if a student has successfully
matrix algebra, determinants, eigenvalues MATH 110 is an accelerated precalculus completed MATH 110 or MATH 100 and
and eigenvectors, and solutions of systems of course which prepares students for calculus. MATH 102. Lecture 3 hours/Laboratory 1.5
equations. Solution techniques include row Topics include polynomial, absolute value, hour. Prerequisite: MATH 110A. Transfer
operations, Gaussian elimination and matrix radical, rational, exponential, logarithmic, Credit: CSU, UC, USC. (MATH 110A&B C-ID
algebra. Specifi c topics in vector spaces and and trigonometric functions and their MATH 955)
matrix theory include inner products, norms, graphs, inverses, zeroes and applications.
orthogonality, eigenvalues, eigenspaces, Inequalities, trigonometric identities, conic
linear transformations and applications. The sections, polar equations, parametric equa-
honors section of this course features more tions, systems of equations and mathemati-
theory and proof, and one or more projects cal induction are also covered. Lecture 6
related to the topics of this course. Lecture hours. Prerequisite: Placement is based
5 hours. Prerequisite: MATH 104. Recom- on a composite of test scores and academic
mended Preparation: MATH 105. Course background or satisfactory completion of
Typically Off ered: Fall/Spring. Transfer MATH 101 or MATH 120 or MATH 220B
Credit: CSU, UC, USC. (C-ID MATH 250) Course Typically Off ered: Winter/Spring/
Summer/Fall. Transfer Credit: CSU, UC,
USC. (C-ID MATH 995)

2018–2019 C A T ALOG • G LEND ALE C OMMUNITY C OLLEGE