MAT235Y1 Lecture Notes - Lecture 1: Multivariable Calculus, Hyperbola, Ellipse
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Instructor: nathan carruth n. carruth@mail. utoronto. ca office: pgb 301 office hours (this week): t12-1, th 3:30-4:30 (in bahan 6283) An email about the information above will be sent out tomorrow or thursday. The professor doesn"t have access to the portal yet. A conic section is a curve obtained as the intersection of a plane and a cone. They can be divided into four classes: ellipse (includes circles, parabola (parabolae (plural of parabola), hyperbola (like parabola but doesn"t go up as fast with linear asymptotes) *the four classes include circles, so ellipse, circle, parabola, hyperbola. *a hyperbola can be obtained by cutting vertically through the cones (it is hard to visualize) By rotating the cutting surface, difference classes can be obtained from the conic section. An ellipse is the set of all points the sum of whose distances to two given points is a constant. If a = b, then c =0, which means foci is right at the origin.
