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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.

Distribution Requirement

• Mathematics, Computing & Logic

Learning Goals

• Quantitative Reasoning

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 dierential equations. Learn the basics of innite sequences and series. We will all have FUN learning calculus.

Sections Offered: Fall 2026

Sections Offered: Spring 2026