**# automatic playing for the 20 videos (click the up-left corner for the list)**

source: University of Nottingham 上次更新日期：2014年6月13日

This series of videos is aimed primarily at first-year undergraduate mathematics students. It covers some of the topics which students often find hard, but which are fundamental to success in university mathematics.

Proof by Induction 7:53

Proof by Induction - the Induction Step 9:06

Exponential Function 7:26

Think of a Function 13:12

Intro to Vector Spaces 9:12

Bases for Vector Spaces 9:40

Proof by Contradiction 5:48

Curve Sketching 1 7:19

Curve Sketching 2 5:36

Curve Sketching 3 7:01

Sketching Functions 7:42

Proof by Induction -- Example 2 9:12

Convergence of sequences 1 11:16

Convergence of sequences 2 12:23

Convergence of series 7:50

Series - the comparison test 12:45

Series - the ratio test 10:45

Sequences and their properties - examples 8:34

Sequences and their properties - quiz 2:06

Sequences and their properties - answers 3:34

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