These are a general descriptions of the nature of the course; consult your instructor for specifics.

Additional study information can be found in the Online Math Lab.

## Math 3A

*Prerequisite: Qualifying score on the Mathematics Placement Exam.*

Differential Calculus including analytic geometry, functions and limits, derivatives, techniques and applications of differentiation; introduction to integration; logarithmic and trigonometric functions.

- Math 3A Course Outline (PDF)
- Math 3A Study Resources (requires Gauchospace login)

## Math 3B

*Prerequisite: Mathematics 3A with a minimum grade of C.*

Integral calculus including definite and indefinite integrals, techniques of integration; introduction to sequences and series; with applications in mathematics and physics.

- Math 3B Course Outline (PDF)
- Math 3B Study Resources (requires Gauchospace login)

## Math 4A

*Prerequisite: Math 3B with a minimum grade of C*

Systems of linear equations, matrix algebra, determinants, vector spaces and subspaces, basis and dimension, linear transformations, eigenvalues and eigenvectors, diagonalization, and orthogonality.

## Math 4B

*Prerequisite: Math 4A with a minimum grade of C.*

First and second order differential equations, separation of variables, linear differential equations, systems of first order equations, nonlinear differential equations and stability.

## Math 6A

*Prerequisite: Mathematics 4A with a minimum grade of C.*

Calculus of functions of several variables, vector valued functions of one variable, derivative and integrals of vector functions, double and triple integrals, properties and applications of integrals, change of variables.

## Math 6B

*Prerequisite: Mathematics 4B and Mathematics 6A, each with a minimum grade of C.*

Integral theorems of vector calculus (continuation), infinite series, Fourier series, integrals and transforms, partial differential equations.

## Math 8

*Prerequisite: Mathematics 4A, 4B, 6A, or 6B, with a grade of B or better.*

Introduction to the elements of propositional logic, techniques of mathematical proof, and fundamental mathematical structures, including sets, functions, relations, and other topics as time permits. Mastery of this material is essential for students planning to major in mathematics.

## Math 34A

*Enrollment Comments: Not open for credit to students who have completed Math 2A or 3A, or are simultaneously enrolled in 2A or 3A, or have passed the AP Calculus AB or BC exams.*

- Math 34A Course Outline (PDF)
- Math 34A Study Resources (requires Gauchospace login)

## Math 34B

*Prerequisite: Mathematics 2A or 3A or 34A with a Grade of C or better.*

*Enrollment Comments: Not open for credit to students who have completed Math 2B or 3B, or are simultaneously enrolled in 2B or 3B, or have passed the AP Calculus BC exam.*

- Math 34B Course Outline (PDF)
- Math 34B Study Resources (requires Gauchospace login)