Welcome to the Mathematics Department at UCSB

Math 5B Course Description

Math 5B 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
    


Department of Mathematics, South Hall. Room 6607 University of California Santa Barbara, CA 93016, phone (805) 893-2171, fax (805) 893-2385, email www@math.ucsb.edu, office hours m-f 8-12, 1-4