Lecture Details :
This video introduces the Linear Algebra approach to area, and to volume. It also introduces bi-vectors, with applications from physics: torque, angular momentum and motion in a magnetic field.
NJ Wildberger is also the developer of Rational Trigonometry: a new and better way of learning and using trigonometry---see his WildTrig YouTube series under user `njwildberger'. There you can also find his series on Algebraic Topology, History of Mathematics and Universal Hyperbolic Geometry.
Course Description :
This course on Linear Algebra is meant for first year undergraduates or college students. It presents the subject in a visual geometric way, with special orientation to applications and understanding of key concepts. The subject naturally sits inside affine algebraic geometry. Flexibility in choosing coordinate frameworks is essential for understanding the subject. Determinants also play an important role, and these are introduced in the context of multi-vectors in the sense of Grassmann. NJ Wildberger is also the developer of Rational Trigonometry: a new and better way of learning and using trigonometry.
Other Resources :
Other Mathematics Courses
- California Standards Test: Geometry by Khan Academy
- Pre-algebra by Khan Academy
- Probability and Statistics by IIT Kharagpur
- Singapore Math by Khan Academy
- Real Analysis by Other
- Complex Analysis by IIT Guwahati
- Linear Algebra by MIT
- Laplace transforms by Other
- Algebra I by Other
- Mathematical Methods for Engineers II by MIT
» check out the complete list of Mathematics lectures