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 25 - Cubic Splines (Bezier Curves) Using Calculus |
In this lecture we discuss an application of cubic splines - to the interpolation problem: finding a smooth curve passing through a finite number of points in the (x,y) plane. Our approach to this question focuses on the use of what we call Taylor coefficient vectors.
Go to the Course Home or watch other lectures: