This course focuses on advanced topics in integration and series, essential for applied mathematics. It covers anti-derivatives, the properties of indefinite and definite integrals, and key integration techniques such as substitution, integration by parts, and partial fractions. Students will apply these methods to real-world problems, calculating areas, volumes, and arc lengths. The course also introduces infinite series, exploring convergence tests, and Taylor and Maclaurin series. Additionally, it includes parametric equations and polar coordinates, with applications to conic sections, preparing students for further mathematical analysis.
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