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MATHEMATICS 191
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 first 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, differential equations using various tech- include first and second-degree equations
vector differentiation, 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, differential 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, 104H, 104E, or 104EH. trigonometric identities, inverse trigonomet-
hours. Prerequisite: MATH 104E or 104EH. Recommended Preparation: MATH 105 ric functions, and solving triangles using the
Course Typically Offered: Fall/Spring. and MATH 107. Course Typically Offered: Laws of Sines and the Law of Cosines. Note:
Transfer Credit: CSU, UC, USC. (C-ID Fall/Spring. Transfer Credit: CSU, UC, USC. A maximum of 3 units may be earned from
MATH 230) (C-ID MATH 240) the combination of MATH 110A and MATH
100. No credit will be given for MATH 110A if
107 108H a student has successfully completed MATH
LINEAR ALGEBRA HONORS ORDINARY DIFFERENTIAL 110 or MATH 100 and MATH 102. Lecture
EQUATIONS 3 hours/Laboratory 1.5 hour. Prerequisite:
5.0 Units Placement is based on academic background
5.0 Units or satisfactory completion of MATH 101 or
MATH 107 covers the topics of vector spaces, 120 or 220B or MATH 118 or 90 or 90+or 90EF
linear transformations and matrices, matrix MATH 108 covers the solution of ordinary or MATH 220S. Course Typically Offered:
algebra, determinants, eigenvalues and differential equations using various tech- Fall/Winter/Spring/Summer. Transfer
eigenvectors, and solutions of systems of niques including variation of parameters, Credit: CSU, UC, USC. (MATH 110A & 110B
equations. Solution techniques include row the Laplace transform, power series, and C-ID MATH 955)
operations, Gaussian elimination and matrix numerical methods. Systems of linear
algebra. Specific topics in vector spaces and differential equations and an introduction 110B
matrix theory include inner products, norms, to nonhomogeneous linear systems are also PRECALCULUS II
orthogonality, eigenvalues, eigenspaces, covered. Applications are drawn from the
linear transformations and applications. physical sciences. The honors section of this 3.5 Units
Lecture 5 hours. Prerequisite: MATH course features more theory and proof, and
104, 104H, 104E, or 104EH. Recommended one or more projects related to the topics of MATH 110B is the second of two courses
Preparation: MATH 105. Course Typically this course. Lecture 5 hours. Prerequisite: that prepares students for calculus. Topics
Offered: Fall/Spring. Transfer Credit: CSU, MATH 104, 104H, 104E, or 104EH. Recom- include the study of trigonometric functions,
UC, USC mended Preparation: MATH 105 and MATH their inverses and their graphs, identities
107. Course Typically Offered: Fall/Spring. and their proofs, trigonometric equations,
107H Transfer Credit: CSU, UC, USC and graphs of polar equations. Additional
HONORS LINEAR ALGEBRA topics include complex numbers, graphs of
110 parametric equations and conic sections,
5.0 Units PRECALCULUS linear and nonlinear systems of equations,
the binomial theorem, partial fraction
MATH 107H covers the topics of vector 5.0 Units decomposition, introduction to vectors, and
spaces, linear transformations and matrices, mathematical induction. Note: No credit
matrix algebra, determinants, eigenvalues MATH 110 is an accelerated precalculus will be given for MATH 110B if a student has
and eigenvectors, and solutions of systems of course which prepares students for calculus. successfully completed MATH 110 or MATH
equations. Solution techniques include row Topics include polynomial, absolute value, 100 and MATH 102. Lecture 3 hours/Labo-
operations, Gaussian elimination and matrix radical, rational, exponential, logarithmic, ratory 1.5 hour. Prerequisite: MATH 110A.
algebra. Specific topics in vector spaces and and trigonometric functions and their Course Typically Offered: Fall/Winter/
matrix theory include inner products, norms, graphs, inverses, zeroes and applications. Spring/Summer. Transfer Credit: CSU, UC,
orthogonality, eigenvalues, eigenspaces, Inequalities, trigonometric identities, conic USC. (MATH 110A & 110B C-ID MATH 955)
linear transformations and applications. The sections, polar equations, parametric equa-
honors section of this course features more tions, systems of equations and mathematical
theory and proof, and one or more projects induction are also covered. Note: Students
related to the topics of this course. Lecture with two unsuccessful attempts in MATH
5 hours. Prerequisite: MATH 104, 104H, 110 (with a grade of W, D, F, or NP) who plan
104E, or 104EH. Recommended Preparation: to complete Precalculus will be required to
MATH 105. Course Typically Offered: Fall/ take the MATH 110A and 110B sequence. A
Spring. Transfer Credit: CSU, UC, USC. (C-ID maximum of 7 units may be earned from any
MATH 250) combination of MATH 110A, MATH 110B,
and MATH 110. Lecture 5 hours. Prerequi-
site: Placement is based on academic back-
ground or satisfactory completion of MATH
102. Course Typically Offered: Fall/Spring/
Summer.. Transfer Credit: CSU, UC, USC
2 0 2 0 – 2 0 2 1 C ATA L O G • G L E N DA L E C O M M U N I T Y C O L L E G E
