Math 2110 Section 5: Multivariable Calculus

Basic Information

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%.

What is expected of you

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.

Homework and WebAssign

In order to use webassign you need to self-register. Do this by going to WebAssign and clicking on the link that says "I have a class key". It will pop up a window with three boxes for entries. In the first put uconn, in the second put 5056 and in the third put 8199. This should let you register for this section.

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!

Course Content

I intend that we will cover more or less all of Chapters 12-16 of Stewart. I will update the schedule as the class proceeds, so that you know what your reading is for any given day.

Midterms

I have posted some optional problems on webassign which you can use for review before the midterm. I believe that for every question on the test there is at least one similar or identical question on the review problems. Here you will find the formula sheet that will appear on the test. It does not include formulas that you should be able to determine from conceptual reasoning that you are supposed to understand.

Midterm Solutions

Now that the midterms are over, you may want to look at the Midterm 1 Solutions, or the Midterm 2 Solutions.

Final

The final exam is on Friday 12th December from 3:30 PM until 5:30 PM in MSB 415. Practice exercises are available on webassign. Here is a Practice Final Exam, and here are Solutions. I cannot guarantee whether the actual final will be the same length or difficulty, but I tried to make them similar. Note: I was mistaken in saying that there would be a question or questions on the exam from a committee - I had misinterpreted the content of an email, and I apologize. The Formula Sheet has been updated. You will not need to know the formulas for center of mass, moments of inertia, radius of gyration, or expected value of a random variable (from Chapter 15.5). The Solutions are now available.

Office hours before final

I will be in my office Tuesday, Wednesday, and Thursday before the exam. On each day I plan to be in 9am-5pm, but I will not be there Wednesday 1pm-2:45pm due to a meeting I must attend. It is possible there will be a note on my office door (Room 414) providing directions to a different room where I can be found.

Schedule

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