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 (required Gauchospace login)

## Math 4A

*Prerequisite: Math 3B or 3BI 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 or Math 4AI 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 (or 4AI) 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 (or 4BI) and Mathematics 6A (or 6AI), each with a minimum grade of C.*

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

## Math 34a

This is a general description of the nature of the course; consult your instructor for specifics.

Math 34A is the first course of a two quarter sequence in calculus for Social and Life sciences. It is an introduction to differential and integral calculus with applications to modeling in the biological sciences.

Study resources can be found on GauchoSpace.

**Topics:**

1. Review of the Basics

2. Word Problems

3.Logarithms and Exponentials

4.Lines and Proportionality

5.Derivatives and Applications

## Math 34b

This is a general description of the nature of the course; consult your instructor for specifics.

Math 34B is the second course of a two quarter sequence in calculus for Social and Life sciences. It is a continued study of differential and integral calculus with applications. It is an introduction to mathematical modeling with differential equations. Topics include calculus of several variables with an introduction to partial derivatives.

Study resources can be found on GauchoSpace.

**Topics:**

1. More with Differentiation

2. Integration

3. Differential Equations

4. Multivariable Calculus