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MTH 142: Calculus II
4 credits
Continue the study of single-variable calculus. Develop the theory of the definite integral and its applications in geometry and physics. Master integration techniques: standard substitution, integration by parts, trigonometric substitution, and partial fractions. Solve separable differential equations. Study sequences and series, convergence, power series, Taylor and Maclaurin series. (Learning Goals:Q;Distribution Reqs:Mathematics,Computing & Logic)
Learning Goals
These are my goals for you over the course of the semester. I would also be interested to hear any other goalsyou have for yourself. Students will successfully communicate mathematics through reading, writing and speaking. Students will value peer collaboration and group learning while continuing to maintain a sense of self-motivation and personal understanding. Students will work to solve dicult problems. Value the process of guring them out yourself, ratherthan just searching for \the answer." Students will be prepared to continue to Math 243 and use the tools of integral calculus as they applyto other disciplines: Understand Riemann Sums, The Fundamental Theorem of Calculus, and master a variety of tech-niques of integration. Apply knowledge of the de nite integral to solve \word problems" and basic di erential equations. Learn the basics of in nite sequences and series. We will all have FUN learning calculus.
*The learning goals displayed here are those for one section of this
course as offered in a recent semester, and are provided for the purpose of
information only. The exact learning goals for each course section in a
specific semester will be stated on the syllabus distributed at the start
of the semester, and may differ in wording and emphasis from those shown
here.