A First Course in Linear Algebra
A First Course in Linear Algebra (UNSW). Taught by Professor N. J. Wildberger, this course presents a geometrical view to Linear Algebra, with special orientation to applications and understanding of key concepts. The subject naturally sits inside affine geometry, which is the natural setting for vectors. Flexibility in choosing coordinate frameworks is important for understanding the subject. Determinants also play a key role, and these are introduced in the context of multi-vectors in the sense of Grassmann. The course features a careful treatment of polynomial spaces, with applications to Stirling numbers and cubic splines.
| Lecture 03 - Center of Mass and Barycentric Coordinates |
Here we discuss applications of vectors, first of all to forces, velocity and acceleration, and discuss two of Newton's important laws. We look at motion in the grid plane, and discuss two interesting games: the racetrack game and the trajectory game.
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