New Mathematics Video Lectures
N J Wildberger's Lectures
- Wildberger's YouTube Channel
- Algebraic Topology Video Lectures
- Mathematical Foundations Video Lectures
- Mathematics History Video Lectures
- Hyperbolic Geometry Video Lectures
- Linear Algebra Video Lectures
- Trigonometry Video Lectures
Rational Trigonometry, Linear Algebra, Algebraic Topology, History of Mathematics, Universal Hyperbolic Geometry, the Foundations of Mathematics and even an elementary introduction to K-6 mathematics.
Discrete Probability (Stanford's Open Classroom)
Includes just 5 lectures for now. Discrete random variables, The Uniform Distribution, The Bernoulli Distribution, The Binomial Distribution, and problem sessions.
Algebra (Stanford's Open Classroom)
Differential Equations are the language in which the laws of nature are expressed. Understanding properties of solutions of differential equations is fundamental to much of contemporary science and engineering. Ordinary differential equations (ODEs) deal with functions of one variable, which can often be thought of as time. Topics include: Solution of first-order ODE's by analytical, graphical and numerical methods; Linear ODE's, especially second order with constant coefficients; Undetermined coefficients and variation of parameters; Sinusoidal and exponential signals: oscillations, damping, resonance; Complex numbers and exponentials; Fourier series, periodic solutions; Delta functions, convolution, and Laplace transform methods; Matrix and first order linear systems: eigenvalues and eigenvectors; and Non-linear autonomous systems: critical point analysis and phase plane diagrams.
Proofs and Pictures (Visual Thinking)
James Brown. Do you have to see it to believe it? James Robert Brown, Professor of Philosophy at the University of Toronto, will discuss the highly interesting but controversial topic of the legitimate role of visual thinking in mathematics and science. Examples of picture proofs and thought experiments will be given. An explanation of how they work will be sketched.
How to turn a sphere inside out?
This video shows how a sphere can be turned inside out. Topology!
Fractals in Science, Engineering and Finance (Roughness and Beauty)
Roughness is ubiquitous and a major sensory input of Man. The first step to measure and simulate it was provided by fractal geometry. Illustrative examples will be drawn from the sciences, engineering (the internet) and (more extensively) the variation of financial prices. The beauty of fractals, an unanticipated "premium," helps in teaching and bridges some chasms between different aspects of knowing and feeling.
Have fun with these!
- Free Mathematics Video Courses
(Includes discrete mathematics, algebra, linear algebra, mathematics problems, differential equations, math methods for engineers)
- More Mathematics and Theoretical Computer Science Video Lectures(Includes algebra, elementary statistics, applied probability, finite mathematics, trigonometry with calculus, mathematical computation, pre-calculus, analytic geometry, first year calculus, business calculus, mathematical writing (by Knuth), computer science problem seminar (by Knuth), dynamic systems and chaos, computer musings (by Knuth) and other Donald E. Knuth lectures)
- Mathematics Video Lectures(Includes course practice of mathematics and lots of mathematics seminar videos in applied maths, geometry/topology, liquid flow and string theory)
- Even More Mathematics Video Lectures
(Includes Steven Skiena's discrete mathematics, convex optimization, fourier transform, linear dynamical systems, keio university math video archive, monty hall problem and imo problems)
- Latest Mathematics Video Lectures
(Includes: calculus, vector calculus, tensors, the most important concepts of mathematics, basic mathematics, numerical methods, p=np problem, randomness, fractals and splines, lectures from advanced institute for study and a video on indian super 30 mathematics school)