CAN Course Descriptions for Mathematics (11-7-04)
| CAN: |
MATH 10
|
| Title: |
College Algebra
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| Description: |
Polynomial, rational, exponential, and logarithmic functions; matrices, and determinants;
theory of equations; analytic geometry, mathematical induction.
Prerequisites: Algebra I, Geometry, and Intermediate Algebra (Algebra II). 3 semester
units or 4 quarter units. |
|
| CAN: |
MATH 12
|
| Title: |
Finite Mathematics
|
| Description: |
Sets, matrices, and systems of equations and inequalities; linear programming;
combinatorial techniques, and introduction to probability; mathematics of finance;
primarily for business, social, and behavioral science majors.
Prerequisites: Algebra I, Geometry, and Intermediate Algebra (Algebra II). 3 semester
units or 4 quarter units. |
|
| CAN: |
MATH 16
|
| Title: |
Pre-Calculus
|
| Description: |
Preparation for calculus; polynomial, rational, exponential, logarithmic, and
trigonometric functions; analytic geometry; mathematical induction.
Prerequisites: Algebra I, Geometry, and Intermediate Algebra (Algebra II). 4 semester
units or 5 quarter units. |
|
| CAN: |
MATH 17
|
| Title: |
Calculus, 1st quarter
|
| Description: |
Introduction to differential and integral calculus; functions, limits, and continuity;
techniques and applications of differentiation. Primarily for mathematics, physical
science, and engineering majors.
Prerequisite: CAN MATH 16 or equivalent. 4 quarter units. |
|
| CAN: |
MATH 18
|
| Title: |
Calculus, 1st semester
|
| Description: |
Introduction to differential and integral calculus; functions, limits, and continuity;
techniques and applications of differentiation; the Fundamental Theorem of Calculus.
Primarily for mathematics, physical science, and engineering majors.
Prerequisite: CAN MATH 16 or equivalent. 4 semester units. |
|
| CAN: |
MATH 19
|
| Title: |
Calculus, 2nd quarter
|
| Description: |
Continuation of differential and integral calculus with applications; techniques of
integration. Primarily for mathematics, physical science, and engineering majors.
Prerequisite: CAN MATH 17. 4 quarter units. |
|
| CAN: |
MATH 2
|
| Title: |
Introduction to Mathematical Reasoning
|
| Description: |
An elementary introduction to mathematics, emphasizing the deductive process; concepts
of contemporary mathematics; primarily for liberal arts students.
Prerequisites: Algebra I, Geometry, and Intermediate Algebra (Algebra II). 3 semester
units or 4 quarter units. |
|
| CAN: |
MATH 20
|
| Title: |
Calculus, 2nd semester
|
| Description: |
Continuation of differential and integral calculus with applications; techniques of
integration; infinite series and sequences. Primarily for mathematics, physical science,
and engineering majors.
Prerequisite: CAN MATH 18. 4 semester units |
|
| CAN: |
MATH 21
|
| Title: |
Calculus, 3rd quarter
|
| Description: |
Continuation of differential and integral calculus with applications; infinite sequences
and series. Primarily for mathematics, physical science, and engineering majors.
Prerequisite: CAN MATH 19. 4 quarter units. |
|
| CAN: |
MATH 22
|
| Title: |
Calculus, 3rd semester
|
| Description: |
Vector-valued functions; calculus of functions of more than one variable, partial
derivatives, multiple integration; Green’s theorem, Strokes’ theorem, and the
divergence theorem.
Prerequisite: CAN MATH 20. 4 semester units. |
|
| CAN: |
MATH 23
|
| Title: |
Calculus, 4th quarter
|
| Description: |
Vector-valued functions; calculus of functions of more than one variable, partial
derivatives, multiple integration; Green’s theorem, Strokes’ theorem, and the
divergence theorem. Primarily for mathematics, physical science, and engineering
majors.
Prerequisite: CAN MATH 21. 4 semester units. |
|
| CAN: |
MATH 24
|
| Title: |
Differential Equations
|
| Description: |
First and second order ordinary differential equations; linear differential equations;
Laplace transforms.
Prerequisite: CAN MATH 20/21. 3 semester units or 4 quarter units. |
|
| CAN: |
MATH 26
|
| Title: |
Linear Algebra
|
| Description: |
Matrices and linear transformations; vector spaces; determinants; eigenvalues and
eigenvectors.
Prerequisite: CAN MATH 17/18. 3 semester units or 4 quarter units. |
|
| CAN: |
MATH 29
|
| Title: |
Calculus for the Life and Social Sciences, 1st quarter
|
| Description: |
Concepts of function and limit; techniques of differentiation and integration with
applications.
Prerequisites: Algebra I, Geometry, and Intermediate Algebra (Algebra II). 3 quarter
units. |
|
| CAN: |
MATH 30
|
| Title: |
Calculus for the Life and Social Sciences, 1st semester
|
| Description: |
Concepts of function and limit; techniques of differentiation and integration with
applications.
Prerequisites: Algebra I, Geometry, and Intermediate Algebra (Algebra II). 3 semester
units. |
|
| CAN: |
MATH 31
|
| Title: |
Calculus for the Life and Social Sciences, 2nd quarter
|
| Description: |
Continuation of first quarter course; partial differentiation and extremum problems.
Prerequisite: CAN MATH 29. 3 quarter units. |
|
| CAN: |
MATH 32
|
| Title: |
Calculus for the Life and Social Sciences, 2nd semester
|
| Description: |
Continuation of first semester course; partial differentiation and extremum problems;
multiple integrals.
Prerequisite: CAN MATH 30. 3 semester units. |
|
| CAN: |
MATH 33
|
| Title: |
Calculus for the Life and Social Sciences, 2nd semester
|
| Description: |
Continuation of second quarter course; multiple integrals.
Prerequisite: CAN MATH 31. 3 quarter units. |
|
| CAN: |
MATH 34
|
| Title: |
Calculus for Business
|
| Description: |
Concepts of function and limit; applied calculus emphasizing techniques of
differentiation and integration for business applications; partial derivatives.
Prerequisites: Algebra I, Geometry, and Intermediate Algebra (Algebra II). 3 semester
units or 4 quarter units. |
|
| CAN: |
MATH 4
|
| Title: |
Mathematics for Elementary School Teaching
|
| Description: |
Development and structure of the real number system and its subsystems; elementary
concepts of set theory, relations, and operations; inductive reasoning including patterns
and sequences; deductive reasoning; logic.
Prerequisites: Algebra I, Geometry, and Intermediate Algebra (Algebra II). 3 semester
units or 4 quarter units. |
|
| CAN: |
MATH 8
|
| Title: |
Trigonometry
|
| Description: |
The trigonometric functions, their graphs and identities; laws of sines and cosines;
solutions of triangles; trigonometric equations; inverse trigonometric functions; polar
coordinates, DeMoivre’s Theorem.
Prerequisites: Algebra I, Geometry, and Intermediate Algebra (Algebra II). 3 semester
units or 4 quarter units |
|
| CAN: |
MATH SEQ B
|
| Title: |
Sum of the content of CAN MATH 17+19+21 or CAN MATH 18+20
|
| Description: |
Sum of the content of CAN MATH 17+19+21 or CAN MATH 18+20 |
|
| CAN: |
MATH SEQ C
|
| Title: |
Sum of the content of CAN MATH 17+19+21+23 or CAN MATH 18+20+22
|
| Description: |
Sum of the content of CAN MATH 17+19+21+23 or CAN MATH 18+20+22 |
|
| CAN: |
MATH SEQ D
|
| Title: |
Sum of the content of CAN MATH 29+31+33 or CAN MATH 30+32
|
| Description: |
Sum of the content of CAN MATH 29+31+33 or CAN MATH 30+32 |
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"CAN" is the official mark of the California Articulation Number System
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should be confirmed with the institutions involved.
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