Instructor: Luke Rogers
Instructor's Office Hours: Tuesdays 1-3pm in MSB414, or by appointment.
Lectures: Tuesdays and Thursdays, 11:00-12:15 in MSB415, Fridays 10:00-10:50 in MSB219.
Textbook: Multivariable Calculus, Early Transcendentals, 6th edition, by James Stewart
Homework: Connect here to WebAssign.
Exams: Midterm 1 in class Friday 9/26, Midterm 2 in class Friday 10/31, Final Dec 12th, 3:30pm, MSB415
Grading Scheme: Homework 20%, Midterms 20% each, Final 40%.
It is expected that you will attend all classes, midterms and the final exam. Homework will be assigned, collected and graded using webassign, and is due before midnight one week after it is assigned. Questions on midterms and the final will usually be similar to and occasionally identical to homework questions, so doing the homework will also be beneficial to you on exams. You are expected to read the book outside class. Reading to be completed before each class is listed in the schedule. Fridays will frequently be used to work on problems, so do not always have assigned reading.
Anything covered in class may appear on an exam, whether or not it is in the book. Anything in the sections of the book that are listed on the schedule below may appear on an exam, whether or not it was discussed in class. It cannot be emphasized too much that mathematics is learned by doing, so the work you do outside class will be critical to your success in this course.
Once you have registered it will give you 14 days to put in an access code indicating that you are a legitimate user of this content. I cannot give you this code. The code is packaged with your textbook, or can be purchased separately online from WebAssign. If you purchase a textbook that includes the code, be careful not to lose it!
Date | Topics | Before Class Reading |
Tuesday 8/26 | 12.1: Coordinate systems, 12.2: Vectors | pages 765-778 |
Thursday 8/28 | 12.3: Dot product and projections | pages 779-785 |
Friday 8/29 | Problem Session | |
Tuesday 9/2 | 12.4: Cross product | pages 786-793 |
Thursday 9/4 | 12.5: Lines and planes, Cylinders and Quadric surfaces | pages 794-811 |
Friday 9/5 | Problem Session | |
Tuesday 9/9 | 13.1, 13.2: Vector functions, derivatives and integrals | pages 817-829 |
Thursday 9/11 | 13.3: Arc length, curvature | 830-837 |
Friday 9/12 | Problem session | |
Tuesday 9/16 | 13.4: Motion in space | 838-845 |
Thursday 9/18 | 14.1: Functions of several variables and limits | 854-872 |
Friday 9/19 | Problem Session | |
Tuesday 9/23 | 14.2: Limits and continuity for functions of several variables. | 870-876 |
Thursday 9/25 | Review for midterm | |
Friday 9/26 | Midterm 1 | Covers up to end of Chapter 13 |
Tuesday 9/30 | 14.3, 14.4: Partial derivatives, tangent planes | 878-893 |
Thursday 10/2 | 14.4, 14.5: Linear approximation, Differentials, Chain rule | 894-905 |
Friday 10/3 | Problem session | |
Tuesday 10/7 | 14.6: Directional derivatives and Gradient | 910-919 |
Thursday 10/9 | 14.7: Maxima and minima of functions of several variables | 922-930 |
Friday 10/10 | Problem session | |
Tuesday 10/14 | 14.8: Lagrange Multipliers | 934-939 |
Thursday 10/16 | 15.1: Double Integrals over rectangles | 950-959 |
Friday 10/17 | Problem Session | |
Tuesday 10/21 | 15.2: 15.3: Iterated Integrals, general regions | 960-973 |
Thursday 10/23 | 15.3: General regions, 15.4: Polar coordinates | 974-979 |
Friday 10/24 | Problem Session | |
Tuesday 10/28 | 15.5: Applications of Double integrals | 980-989 |
Thursday 10/30 | Review | |
Friday 10/31 | Midterm 2 | Covers up to end of Chapter 14 |
Tuesday 11/4 | 15.6: Triple Integrals | 990-999 |
Thursday 11/6 | 15.7, 15.8: Cylindrical and spherical coordinates | 1000-1010 |
Friday 11/7 | Problem Session | |
Tuesday 11/11 | 15.9: Change of variables in multiple integrals | 1012-1020 |
Thursday 11/13 | 16.1: Vector fields | 1026-1032 |
Friday 11/14 | Problem Session | |
Tuesday 11/18 | 16.2 Line Integrals | 1034-1043 |
Thursday 11/20 | 16.2, 16.3: Line Integrals, Fundamental theorem for line integrals | 1046-1053 |
Friday 11/21 | Problem Session | |
Tuesday 11/25 | Thanksgiving Break | |
Thursday 11/27 | Thanksgiving Break | |
Friday 11/28 | Thanksgiving Break | |
Tuesday 12/2 | 16.3, 16.4: Line integrals and Green's theorem | 1055-1060 |
Thursday 12/4 | Review | |
Friday 11/28 | Review |