Latest information:
Lecture notes:
- Weeks 1+2 (L'Hospital's rule, improper integrals, sequences, series)
- Weeks 3+4 (tests for convergence of series, absolute convergence, power series)
- Week 5 (power series, Taylor series and applications)
- Weeks 6+7 (parametric equations, polar equations)
- Week 8 (vectors, dot product, cross product)
- Week 9 (lines, planes, quadric surfaces)
- Week 10 (vector-valued functions, properties of space curves)
- Week 11 (multivariable functions, partial derivatives)
- Week 12 (chain rule, linear approximations, directional derivatives, gradients)
- Week 13 (critical points and extrema, Lagrange multipliers)
- Week 14 (double integrals, iterated integrals)
- Week 15 (integrals in polar coordinates, transformations, Jacobians)