| Week |
Course Content |
| Week 1 |
Review
Applications on Arc Length and Surface Area |
| Week 2 |
Differential Equations, Separable Equations and Models of Population Growth |
| Week 3 |
Parametric Equations and Polar Coordinates
11.1 Sequences |
| Week 4 |
11.2 Series
11.3 The Integral Test and Estimates of Sums |
| Week 5 |
11.4 The Comparison Tests
11.5 The Alternating Series and Absolute Convergences |
| Week 6 |
11.6 The Ratio and Root Test
11.8 Power Series |
| Week 7 |
11.9 Representations of Functions as Power Series
11.10 The Taylor and Maclaurin Series |
| Week 8 |
11.11 Applications of Taylor Polynomials
14.1 Functions of Several variables |
| Week 9 |
Review
Midterm Exam |
| Week 10 |
14.2 Limits and Continuity
14.3 Partial Derivatives |
| Week 11 |
14.4 Tangent Planes and Linear Approximations
14.5 The Chain Rule |
| Week 12 |
14.6 Directional Derivatives and Gradient vectors
14.7 Maximum and Minimum Values
14.8 Lagrange Multipliers |
| Week 13 |
15.1-2 Double Integrals over rectangles and general regions
15.3 Double Integrals in Polar Coordinates |
| Week 14 |
15.6 Triple Integrals
15.7-8 Triple Integrals in Cylindrical and Spherical Coordinates |
| Week 15 |
15.9 Change of Variables in Multiple Integrals
Review |
| Week 16 |
Final Exam |
self-directed
learning |
02.Viewing multimedia materials related to industry and academia.
Self-learning: 11.7, 12.1-12.5, 15.4-5 |