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Mathematics: Core Topics in University Mathematics

Mathematics: Core Topics in University Mathematics (University of Nottingham). This is a series of short videos 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.

Lecture 01 - Proof by Induction
Lecture 02 - Proof by Induction - the Induction Step
Lecture 03 - Exponential Function
Lecture 04 - Think of a Function
Lecture 05 - Intro to Vector Spaces
Lecture 06 - Bases for Vector Spaces
Lecture 07 - Proof by Contradiction
Lecture 08 - Curve Sketching 1
Lecture 09 - Curve Sketching 2
Lecture 10 - Curve Sketching 3
Lecture 11 - Sketching Functions
Lecture 12 - Proof by Induction - Example 2
Lecture 13 - Convergence of sequences 1
Lecture 14 - Convergence of sequences 2
Lecture 15 - Convergence of series
Lecture 16 - Series - the comparison test
Lecture 17 - Series - the ratio test
Lecture 18 - Sequences and their properties - examples
Lecture 19 - Sequences and their properties - quiz
Lecture 20 - Sequences and their properties - answers