Lec17: Series, comparison + ratio tests.
A lecture on the mathematics of series and the comparison + ratio tests. Plenty of examples are presented and solved. Such ideas are seen in university mathematics
Lec18: Alternating series and absolute convergence
A lecture on alternating series and a test for their convergence, known as Leibniz test. The idea of absolute convergence is also discussed. Plenty of examples are discussed and solved. Such ideas are seen in university mathematics.
Lec19: What is a Taylor series?
A lecture that introduces Taylor series (and Maclaurin series) and shows how to calculate them. Plenty of examples are discussed and solved. Such ideas are seen in university mathematics
Lec20: What is a power series?
A lecture on power series and their properties. Plenty of examples are discussed, including how to find the interval of convergence via the ratio test. Such ideas are seen in university mathematics.
How to calculate power series: a tutorial.
This tutorial shows how to form power series from other basic series. Many examples are discussed and solved. The ideas are seen in university mathematics.
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