## CAN Course Descriptions for Mathematics (11-7-04)

 CAN: MATH 10 Title: College Algebra 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`
 Send mail to info@cansystem.org with questions or comments about this web site. © 2003 California Articulation Number System. "CAN" is the official mark of the California Articulation Number System Every reasonable effort is made to keep the information provided here accurate and up-to-date. Neither the California Articulation Number System nor the institutions of California's post-secondary system participating in CAN are held liable for errors in or omissions. All final decisions regarding the transferability of courses should be confirmed with the institutions involved.