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SEE: Guide to Download The University of New South Wales Video Lecture
Lecture Details :
More on 2x2 matrices, rotations, rotations, reflections and linear transformations. Included are some applications to calculus: explaining how a linear map approximates a non-linear map, leading to the notion of a derivative of a function as a linear transformation.
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 :
Citation |
Other Mathematics Courses
- Advanced Engineering Mathematics by IIT Kharagpur
- University Calculus by The University of New South Wales
- Engineering Mathematics by The University of New South Wales
- Introduction to Probability and Statistics,Fall 2011 by UC Berkeley
- Calculus I by University of Missouri Kansas City
- Probability by Khan Academy
- Advanced Matrix Theory by IISc Bangalore
- Differential Equations by MIT
- Algebra by Khan Academy
- Multivariable Calculus, Fall 2009 by UC Berkeley
» check out the complete list of Mathematics lectures
Mathematics Lecture Notes
- Course 2BA1 - Mathematics by Trinity College
- Math 249 Introductory Calculus by University of Calgary
- Probabilistic Thinking by Princeton University
- Linear Algebra by Macquarie University
- Topology Education by University College Galway
- Chemistry 1S: Basic Calculus for Chemists by University of Bristol
- Linear Functional Analysis by Macquarie University
- Multivariable and Vector Analysis by Macquarie University
- Math 231: Partial Differential Equations by UC San Diego
- Math 100: UBC Calculus by University of British Columbia