Page 190 - 2019-20 GCC Catalog

MATHEMATICS 187

103EH 104E 105H
HONORS CALCULUS AND CALCULUS AND ANALYTIC HONORS MULTIVARIABLE AND
ANALYTIC GEOMETRY GEOMETRY VECTOR CALCULUS
5.0 Units 5.0 Units 5.0 Units
MATH 103EH is the fi rst of a sequence of MATH 104E is a study of techniques of inte- MATH 105H is a course in vector calculus.
three courses combining the subject matter gration, indeterminate forms, applications Topics covered include vector functions,
of analytic geometry and calculus. Functions of integration, diff erential equations, the vector diff erentiation, parametric equations,
and their graphs are studied with special calculus of parametric equations, polar coor- vectors in two, three, and higher dimensional
attention to diff erentiation, limits, rules and dinates, and conic sections, and the study space, multiple integration, and an introduc-
integration using various techniques. The of infi nite sequences and series. Lecture 5 tion to vector analysis including divergence,
calculus of inverse functions and transcen- hours. Prerequisite: MATH 103E. Transfer curl, Green’s and Stokes’ Theorems. The
dental functions as well as applications of Credit: CSU, UC. honors section of this course features more
diff erentiation is also covered. The honors 104EH theory and proof, and one or more projects
section of this course features more theory HONORS CALCULUS AND related to the topics of the course. Lecture
and proof, and one or more projects related ANALYTIC GEOMETRY 5 hours. Prerequisite: MATH 104. Course
to the topics of the course. Lecture 5 hours. 5.0 Units Typically Off ered: Fall/Spring. Transfer
Prerequisite: MATH 110 or 110B. Course Credit: CSU, UC, USC. (C-ID MATH 230)
Typically Offered: Fall/Spring Transfer MATH 104EH is a study of techniques of 107
Credit: CSU, UC. integration, indeterminate forms, applica-
tions of integration, diff erential equations, LINEAR ALGEBRA
103H the calculus of parametric equations, polar 5.0 Units
HONORS CALCULUS AND coordinates, and conic sections, and the MATH 107 covers the topics of vector spaces,
ANALYTIC GEOMETRY study of infi nite sequences and series. The linear transformations and matrices, matrix
5.0 Units honors section of this course features more algebra, determinants, eigenvalues and
MATH 103H is the fi rst of a sequence of theory and proof, and one or more projects eigenvectors, and solutions of systems of
three courses combining the subject matter related to the topics of the course. Lecture 5 equations. Solution techniques include row
of analytic geometry and calculus. Functions hours. Prerequisite: MATH 103E. Transfer operations, Gaussian elimination and matrix
and their graphs are studied with special Credit: CSU, UC. algebra. Specifi c topics in vector spaces and
attention to diff erentiation, limits, rules 104H matrix theory include inner products, norms,
and integration using various techniques. HONORS CALCULUS AND orthogonality, eigenvalues, eigenspaces,
Applications of both diff erentiation and ANALYTIC GEOMETRY linear transformations and applications.
integration are covered. The honors section 5.0 Units Lecture 5 hours. Prerequisite: MATH 104.
of this course features more theory and proof, Recommended Preparation: MATH 105.
and one or more projects related to the topics MATH 104H is a study of the calculus of Course Typically Offered: Fall/Spring.
of the course. Lecture 5 hours. Prerequisite: inverse functions, transcendental functions, Transfer Credit: CSU, UC, USC.
Placement is based on a composite of test techniques of integration, indeterminate 107H
scores and academic background or satisfac- forms, applications of integration, diff eren- HONORS LINEAR ALGEBRA
tory completion of MATH 110 or MATH 110B, tial equations, parametric equations, polar 5.0 Units
or both MATH 100 (prior to Fall 2016) and coordinates, conic sections, and infi nite
MATH 102 (prior to Spring 2017). Transfer sequences and series. The honors section of MATH 107H covers the topics of vector
Credit: CSU, UC, USC. (C-ID MATH 211) this course features more theory and proof, spaces, linear transformations and matrices,
and one or more projects related to the topics matrix algebra, determinants, eigenvalues
104 of the course. Lecture 5 hours. Prerequisite: and eigenvectors, and solutions of systems of
CALCULUS AND ANALYTIC Placement is based on a composite of test equations. Solution techniques include row
GEOMETRY scores and academic background or satis- operations, Gaussian elimination and matrix
5.0 Units factory completion of MATH 103. Transfer algebra. Specifi c topics in vector spaces and
MATH 104 is a study of the calculus of Credit: CSU, UC, USC. (C-ID MATH 221) matrix theory include inner products, norms,
inverse functions, transcendental functions, 105 orthogonality, eigenvalues, eigenspaces,
techniques of integration, indeterminate MULTIVARIABLE AND VECTOR linear transformations and applications. The
forms, applications of integration, diff eren- CALCULUS honors section of this course features more
tial equations, parametric equations, polar 5.0 Units theory and proof, and one or more projects
coordinates, conic sections, and infi nite related to the topics of this course. Lecture
sequences and series. Lecture 5 hours. MATH 105 is a course in vector calculus. 5 hours. Prerequisite: MATH 104. Recom-
Prerequisite: Placement is based on a Topics covered include vector functions, mended Preparation: MATH 105. Course
composite of test scores and academic back- vector diff erentiation, parametric equations, Typically Off ered: Fall/Spring. Transfer
ground or satisfactory completion of MATH vectors in two, three, and higher dimensional Credit: CSU, UC, USC. (C-ID MATH 250)
103. Course Typically Offered: Winter/ space, multiple integration, and an introduc-
Spring/Summer/Fall. Transfer Credit: CSU, tion to vector analysis including divergence,
UC, USC. (C-ID MATH 221) curl, Green’s and Stokes’ Theorems. Lecture
5 hours. Prerequisite: MATH 104. Course
Typically Off ered: Winter/Spring/Summer/
Fall. Transfer Credit: CSU, UC, USC. (C-ID
MATH 230)

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