Understand Mathematics

Uploaded videos

Engineering Mathematics YouTube Workbook

Videos to accompany my new ebook "Engineering Mathematics: YouTube Workbook" which is freely available from

http://tinyurl.com/EngMathYT

Engineering Mathematics

Engineering Mathematics covers aspects of applied mathematics including: multivariable calculus; vector field theory; differential equations; Laplace transforms and Fourier series.

Research in Mathematics

A showcase for new mathematical research and discoveries. The aims of these presentations are: to share recent mathematical advancements; to increase impact and awareness of mathematical research; to stimulate further research on the topics of interest; and to foster connections with global reseachers.
Potential audiences for these videos range from: advanced undergraduates to career researchers, including Honours, Masters and PhD students.

Differential equations

Solution methods for ordinary and partial differential equations, usually seen in university mathematics courses.

A first course in university mathematics

A standard first course in university mathematics. The course features calculus and algebra.

Lagrange multipliers

This playlist discusses the method of Lagrange multipliers. Plenty of examples are presented to illustrate the ideas.

Integration

Techniques of integration.

Laplace transforms

A playlist on how to calculate Laplace transforms, which are seen in university mathematics and engineering courses. Laplace transforms are useful in solving differential equations.

Fourier series

A collection of videos on Fourier series with plenty of examples presented to illustrate the ideas. Such series are seen in university mathematics and engineering courses and find many applications.

DJ Chris Tisdell

I was a DJ for over 10 years and have dedicated this playlist to some of my classic mixes. It mostly contains progressive house and some trance from the 1990s.

Mathematics for Finance & Actuarial Studies 2

A typical second course of material for those interested in mathematics for actuarial & finance studies.

Mathematics for Finance & Actuarial Studies 1

Here you can view some videos related to Mathematics for Actuarial & Finance Studies 1A (MATH1151), which is a challenging 1st year, 1st semester subject taught at UNSW, Sydney. The course features calculus and algebra.

Several Variable Calculus / Vector Calculus

Here you can see some examples of problems associated with Several Variable Calculus / Vector Calculus.

Extension problems: Calculus 1

Some extension problems from a first course in calculus and algebra.

A second course in university calculus.

A standard, second course in university calculus.

Mathematical analysis and applications

A range of mathematical analysis suitable for undergraduates. It includes basic results and also recent research.