Please note that your instructor will likely adjust the syllabus from time
to time. Exam dates may vary from the ones indicated.
It is the student's responsibility to monitor the pace of the
lectures. If you must miss a class, find out precisely
which material you must learn on your own.
Some of the material is presented twice in the text, in different ways;
we will be using the "starred" versions of sections 6.2-6.4.
Week | Dates | Sections from textbook | Topics |
1 | 1/14-1/18 | 10.1, 10.2, 10.3 | Parametric curves, Calculus with Parametric curves, Polar Coordinates |
2 | 1/21-1/25 | Martin Luther King Day, 10.4, 10.5 | Areas and Arc Lengths in Polar Coordinates, Conic Sections |
3 | 1/28-2/1 | 12.1, 12.2, 12.3 | Three Dimensional Coordinates, Vectors, Dot Product |
4 | 2/4-2/8 | 12.4, 12.5 | Cross Product, Lines and Planes in Space, Exam 1 |
5 | 2/11-2/15 | 12.6, 13.1, 13.2 | Vector Functions, Derivatives and Integrals of Vector Functions |
6 | 2/18-2/22 | 13.3, 13.4, 14.1 | Arch Length, Motion in Space, Functions of Several Variables |
7 | 2/25-3/1 | 14.2, 14.3, 14.4 | Limits, Tangent Planes, Linear Approximation |
8 | 3/4-3/8 | 14.5, 14.6 | Chain Rule, Directional Derivatives, Gradients |
Thursday, 3/7 | 6:00 - 6:50 PM | MIDTERM | |
3/8 | 14.7 | Maxima and Minima | |
3/11-3/15 | Spring break - No classes | ||
9 | 3/18-3/22 | 14.7, 14.8, 15.1 | Maxima and Minima, Lagrange Multipliers, Double Integrals |
10 | 3/25-3/29 | 15.2, 15.3, 15.4 | Iterated Integrals, Double Integrals, Double Integrals in Polar Coordinates |
11 | 4/1-4/5 | 15.4, 15.5, 15.7 | Double Integrals in Polar Coordinates, Applications, Triple Integrals |
12 | 4/8-4/12 | 15.7, 15.8, 15.9 | Triple Integrals, Cylindrical Coordinates, Spherical Coordinates |
13 | 4/15-4/19 | 15.9, 15.10 | Spherical Coordinates, Change of Variables, Exam 3 |
14 | 4/22-4/26 | 16.1, 16.2, 16.3 | Vector Fields, Line Integrals, Fundamental Theorem for Line Integrals |
15 | 4/29-5/2 | 16.4 | Green's Theorem, Review, Reading Day |
Thursday, 5/9 | 8:00-9:50 AM | FINAL EXAMINATION |