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 MATH 11B, or AM 11B, or AM 15B, or ECON 11B.
Enrollment Requirements
Prerequisite(s): MATH 19A or MATH 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. Prerequisite waived for non-UCSC students.
Class Notes
This course is completely online. After enrolling in 19B in Session 1, contact summer@ucsc.edu if you need an add code for 23A in Session 2.
Visiting students - prerequisites are lifted in summer. It is in your best interest to have passed equivalent prerequisite courses.