Core Topics in University Mathematics

Core Topics in University Mathematics

The University of Nottingham

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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. One example of such a topic is curve sketching, which can reveal the qualitative behaviour of a function where perhaps the mathematical expression for the function is rather impenetrable. Proficiency with curve sketching comes with practice, and it is often hard to know where to begin. The videos in this series provide some useful tips. Another example of a core topic in university mathematics is the idea of proof. Rigorous proof allows us to establish the truth of mathematical statements. Videos in this series highlight two ways of proving mathematical statements: by induction and by contradiction. Further videos highlight the generalisation of a familiar pre-university mathematical concept (a vector) to a more abstract setting (vector spaces).
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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. One example of such a topic is curve sketching, which can reveal the qualitative behaviour of a function where perhaps the mathematical expression for the function is rather impenetrable. Proficiency with curve sketching comes with practice, and it is often hard to know where to begin. The videos in this series provide some useful tips. Another example of a core topic in university mathematics is the idea of proof. Rigorous proof allows us to establish the truth of mathematical statements. Videos in this series highlight two ways of proving mathematical statements: by induction and by contradiction. Further videos highlight the generalisation of a familiar pre-university mathematical concept (a vector) to a more abstract setting (vector spaces).
...Read More
Episodes (20)
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sequences and their prope...

17 Jan 2013 | 03 mins 33 secs

sequences and their ...

17 Jan 2013 | 03 mins 33 secs

sequences and their prope...

10 Jan 2013 | 02 mins 05 secs

sequences and their ...

10 Jan 2013 | 02 mins 05 secs

sequences and their prope...

03 Jan 2013 | 08 mins 33 secs

sequences and their ...

03 Jan 2013 | 08 mins 33 secs

series - the ratio test

03 Jan 2013 | 10 mins 44 secs

series - the ratio t...

03 Jan 2013 | 10 mins 44 secs

series - the comparison t...

10 Dec 2012 | 12 mins 44 secs

series - the compari...

10 Dec 2012 | 12 mins 44 secs

convergence of series

03 Dec 2012 | 07 mins 49 secs

convergence of serie...

03 Dec 2012 | 07 mins 49 secs

convergence of sequences ...

23 Nov 2012 | 12 mins 22 secs

convergence of seque...

23 Nov 2012 | 12 mins 22 secs

Convergence of Sequences ...

15 Nov 2012 | 11 mins 15 secs

Convergence of Seque...

15 Nov 2012 | 11 mins 15 secs

11. Proof by Induction – ...

06 Nov 2012 | 09 mins 11 secs

11. Proof by Inducti...

06 Nov 2012 | 09 mins 11 secs

06a. Sketching Functions

06 Nov 2012 | 07 mins 41 secs

06a. Sketching Funct...

06 Nov 2012 | 07 mins 41 secs

07. Curve Sketching

06 Nov 2012 | 07 mins

07. Curve Sketching

06 Nov 2012 | 07 mins

03. Curve Sketching

06 Nov 2012 | 05 mins 35 secs

03. Curve Sketching

06 Nov 2012 | 05 mins 35 secs

06. Curve Sketching

16 Mar 2012 | 07 mins 18 secs

06. Curve Sketching

16 Mar 2012 | 07 mins 18 secs

02. Proof by Contradictio...

16 Mar 2012 | 05 mins 47 secs

02. Proof by Contrad...

16 Mar 2012 | 05 mins 47 secs

08. Think of a Function

09 Mar 2012 | 13 mins 11 secs

08. Think of a Funct...

09 Mar 2012 | 13 mins 11 secs