Class plan (subject to modification)

Week 00 The area of a plan region and the length of a plan curve (5.1, 5.4)
Week 01 Natural logarithm and exponential functions (6.1, 6.3)

Week 02 General logarithm and exponential functions (6.4)
Week 03 Inverse trigonometric functions and their derives (6.8)

Week 04 Integration by parts (7.2)
Week 05 Trigonometric integrals (7.3)
Week 06 Rationalizing substitutions (7.4)
Week 07 Integration of rational functions (7.5)
Week 08 Indeterminate forms (8.1, 8.2)

Midterm Exam

Week 09 Improper integrals: Infinite limits of integration (8.3)

Week 10 Improper integrals: Infinite integrands (8.3)
Week 11 Partial derivatives (12.2)
Week 12 Limits, continuities and differentiability (12.3, 12.4)
Week 13 Directional derivatives and gradients (12.5)
Week 14 Chain rule and tangent planes (12.6, 12.7)
Week 15 Maxima and minima and the method of Lagrange multiplies (12.8, 12.9)
Week 16 Double integrals, iterative integrals (13.1, 13.2)
Week 17 Surface area and the change of variables in multiple integrals (13.6, 13.9)