Vector Calculus 23A

Meet the Faculty

Anthony (Tony) Tromba was born and raised in New York where he attended The Brooklyn Technical High School. He completed his undergraduate work in Mathematics at Cornell University and received his Ph.D. in Mathematics from Princeton. His first academic position was as Assistant Professor of Mathematics at Stanford University. He later held the Chair of Analysis at the Ludwig Maximilians Universität in Munich, Germany, and is now a Distinguished Professor of Mathematics at the University of California at Santa Cruz. He has been a Max Planck research group leader, a member of the technical staff at Bell Labs and the Director of Development of the Mathematical Sciences Research Institute in Berkeley, California. Tony has held visiting professorships at many universities throughout the world, including Universities in Paris, Florence, Moscow, Tokyo, Rio de Janeiro, Beijing, Warsaw, and London, He is the author of nine books including the first Mathematics book in the Scientific American Library series. His Vector Calculus textbook, which appears in six editions and five languages, is used by many of America's leading universities.

Frank Bäuerle

Frank Bäuerle was born and raised in southern Germany. He grew up in Weinsberg, a small town amid castle ruins from the Middle Ages and vineyards that were first cultivated by the Romans when they occupied this land some two thousand years ago. He did his undergraduate work in Mathematics and Computer Science at the Technische Hochschule in Karlsruhe, Germany, after which he received his Ph.D. in Mathematics from The University of California at San Diego. Frank did his research work in Recursion and Complexity theory, an area lying at the intersection of Applied Logic and Theoretical Computer Science..

Course created by Anthony Tromba and Frank Bauerle

Vector Calculus

Spring Quarter 2018
UC Santa Cruz, MATH 23A
5 quarter units / 3.33 semester units

With a focus on the differential calculus of functions of several variables, Math 23A online is a course which stresses a modern matrix approach to the subject, although a prior knowledge of linear algebra is not required. The online format allows us to probe the historical foundations of the subject and its applications to the physical sciences. The course gives students a greater ability to self-pace their learning, experiment and use technology to further their knowledge and understanding through an interactive and dynamic E-Book and other learning tools. The course offers students an online discussion forum to post questions relating to the video lectures, homework, reading, and course logistics. Students are encouraged to respond to each others questions, and instructors and TA’s monitor these forums, responding to student questions as well. In addition, the teaching staff hold regular online office hours, as well as optional discussion sections.

Important dates: 

Registration opens: Feb 28, 2019
Registration ends: Mar 31, 2019
First day of instruction: Apr 1, 2019
Last day of instruction: Jun 8, 2019


Please click here to download a syllabus for this course.

Prerequisite(s): course 19B or 20B or AP calculus BC exam score of 4 or 5.

Anthony Tromba and Frank Bauerle