Calculus for Science, Engineering, and Mathematics

Meet the Faculty

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..

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.

Course created by Frank Bäuerle and Anthony Tromba

Calculus for Science, Engineering, and Mathematics

MATH 19B
Winter/Spring 2018
Pricing: 
$1,750
UC Santa Cruz, MATH 19B
5 quarter units

The definite integral and the fundamental theorem of calculus. Areas, volumes. Integration by parts, trigonometric substitution, and partial fractions methods. Improper integrals. Sequences, series, absolute convergence and convergence tests. Power series, Taylor and Maclaurin series. Students cannot receive credit for both this course and course 11B, Applied Math and Statistics 11B and 15B, or Economics 11B.

With a focus on integral calculus and infinite series, Math 19B/Calculus 2 is a standard second calculus course with applications to nearly all quantitative-based courses of study including chemistry, computer engineering, computer science, electrical engineering, information systems management, mathematics, and physics majors. Whether it’s understanding the concept of area under a graph, volumes of surface areas of three-dimensional solids, calculating definite and indefinite integrals using a variety of techniques or computing the Taylor series of a function, the online format of Calculus 2 allows students 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: Nov 27, 2017 
Registration ends: Jan 7, 2018
First day of instruction: Jan 8, 2018
Last day of instruction: March 16, 2018

Syllabus: 

Please click here to download a syllabus for this course.

Additional course fees: 

There is a fee for the online textbook of approximately $80.

Prerequisites: 
Prerequisite(s): course 19A or 20A or AP Calculus AB exam score of 4 or 5, or BC exam score of 3 or higher, or IB Mathematics Higher Level exam score of 5 of higher.
Instructor(s): 

Frank Bäuerle