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

## Math 3A

Math 3A Course Description

Math 3A is the first course of a two quarter sequence in Differential and Integral Calculus. Homework is typically done online. Consult your instructor about whether a specific textbook will be required. 3A covers just a little more than three chapters in a typical textbook. This gives a natural way to split the material between two midterms and a final. Study resources can be found here. Free Online resources (e.g. Videos) can be found at the online Math Lab.

Topics:

1. Limits and Derivatives

2. Differentiation Rules

3. The First and Second Derivatives

4. Other Applications of Differentiation

## Math 3B

Math 3B Course Description

Math 3B is the second course of a two quarter sequence in Differential and Integral Calculus. Homework is typically done online. Consult your instructor about whether a specific textbook will be required.

3B covers about four chapters in a typical textbook. This gives a natural way to split the material between two midterms and a final.

• Definite and Indefinite Integrals
• Approximating Definite Integrals
• Techniques of Integration
• Areas, Volumes, and Work
• Other Applications of Integration

Study resources can be found here.

## 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

Math 6A is the first quarter of a two quarter sequence in vector calculus. The text is Vector Calculus by M. Lovric. The course covers the following sections of the book.

Topics:

1. Calculus of Functions of Several Variables

2. Vector-Valued Functions of One Variable

3. Scalar and Vector Fields

4. Integration along paths

5. Double and triple integrals

6. Integration over surfaces, properties, and applications of integrals

7. Classical integration theorems of vector calculus

## Math 6B

Math 6B is the second quarter of a two quarter sequence in vector calculus and infinite series. The text is Vector Calculus by M. Lovric. The course covers the following sections of the book.

Topics:

1. Integral Theorems of Vector Calculus (continuation)

2. Infinite Series

3. Fourier Series, Integrals and Transforms

4. 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.

Free online resources (e.g. videos) can be found at the Online Math Lab

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.

Free online resources (e.g. videos) can be found at the Online Math Lab.

Topics:

1. More with Differentiation

2. Integration

3. Differential Equations

4. Multivariable Calculus