Calculus 2

Dive into a comprehensive 6-hour course on Calculus 2, exploring advanced mathematical concepts of continuous change. Master topics such as direction fields and Euler's method, linear equations, predator-prey systems, sequences, and series. Learn various testing methods including integral, comparison, and alternating series tests. Delve into absolute convergence, ratio and root tests, and develop strategies for series testing. Conclude with an in-depth study of power series, Taylor series, and Maclaurin series. Enhance your understanding of infinitesimal calculus through clear explanations and practical examples provided by course author Kamuela Yong.

Syllabus

) Direction field and Euler's method.
) Linear Equation.
) Predator-prey system.
) Sequences.
) Series.
) The integral test.
) Comparison test.
) Alternating series.
) Absolute convergence and the ratio and root tests.
) Strategy for testing series.
) Power series.
) Tylor and Maclaurin series.