This page will contain some information about the Summer 2011 MAT 235 course on Multivariable Calculus.
Course official website on the Blackboard:
Course outline:
This is a one year multivariable calculus course for science students. Topics by lectures:
L1 Parametric curves, tangent lines, length of a curve
L2 Polar coordinates, polar curves
L3 Area between curves, conic sections, xyz-plane
L4 Dot product and cross product, linear independence, basis
L5 Equation of a line, equation of a plane, angle between planes
L6 Vector functions, derivatives of vector functions
L7 Functions of several variables, level sets, curves and surfaces
L8 Partial derivatives
L9 Differentiability of a multivariable function
L10 Gradient and directional derivative
L11 Critical points, minimum and maximum
L12 Method of Lagrange multipliers
L13 Average value of a function, double integrals, Fubini’s theorem
L14 Double integrals in polar coordinates
L15 Center of mass. Triple integrals
L16 Triple integrals in cylindrical coordinates
L17 Spherical coordinates. Change of variables
L18 Vector fields, Line integrals in two dimensions
L19 Line integrals in three dimensions
L20 Green’s theorem
L21 Divergence, Curl, parametric surface
L22 Surface integral
L23 Stock’s theorem
L24 Divergence theorem
Course coordinator:
Marina Chugunova, HU 1025, (416) 946-3769, chugunom@math.utoronto.ca
Lectures: Tuesday (10:00 – 13:00) LM161, Thursday (10:00 – 13:00) LM161
Office hours: Wednesday (10:00 – 12:00) HU 1025
(elevators do not take you on the 10th floor please go upstairs)
Course instructors:
Kamelinejad Ehsan/ Jordan Watts, HU1029 (Huron 215)
Lectures: Tuesday (18:00 – 21:00) LM161, Thursday (18:00 – 21:00) MP134
Office hours: Wednesday (18:00 – 20:00) HU1029