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MATH 19B Full Course Notes
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Tony tromba, phd, distinguished professor, mathematics department, uc santa cruz. Frank b uerle, phd, lecturer, mathematics department, uc santa cruz. Katrina fullman, instructional designer, uc online education, ucop. The definite integral and the fundamental theorem of calculus. Integration by parts, trigonometric substitution, and partial fractions methods. Course 19a 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. University of california santa cruz course outline: to apply the integral to determine lengths of arcs and surface area, to understand taylor polynomials and the taylor remainder formula, to understand infinite series, power series and taylor series. The course uses a learning management system (lms) to organize content and act as a portal to various other platforms including an interactive e-textbook, a homework platform with immediate feedback, and a discussion forum.