# Vector Calculus

## MATH 317, Section 951, 2017 Summer Term 2

Final Exam

August 15, 12:00 pm, IBLC 182

Formula Sheet Policy

You may use a single letter-size double-sided “cheat-sheet” for the final exam. The cheat-sheet must be handwritten and may contain formulae, facts, definitions and theorems, however your cheat sheet may not contain worked examples. The instructor will have the final say on what is or is not appropriate for the cheat sheet. You must hand in your cheat sheet along with your completed exam.

 Midterm 1 July 20, 50 mins, in class Midterm 2 August 3, 50 mins, in class Final exam August 15, 12:00 pm, IBLC 182

### Course Description

• Vector valued functions of one variable: parameterized curves, velocity, acceleration, arc length. Includes curvature, normal and binormal vectors, tangential and normal components of acceleration.

• Vector valued functions of several variables: vector fields, line integrals, conservative fields, fundamental theorem of line integrals, Green's theorem, gradient, curl, divergence, parameterized surfaces, surface area, surface integrals, Stoke's theorem, divergence theorem.

### Texts

• This is a somewhat more advanced text on the same subject.

• This is for ambitious students who want to see more of the deep connections between vector calculus and topology. It is written in the language of this course (vector fields, divergence, grad, curl....) but in a more mathematically sophisticated way.

In addition to these, any standard textbook in multivariable calculus will also serve as a reference for most of the topics in this course.

 Final Exam 50% Midterm 1 15% Midterm 2 15% Homework 20%

OR

 Final Exam -10

The second option is your safety net : even if you perform very badly on the midterms, you can still get a good grade by doing well on the final.

### Homework

 Homework Problem Set Assigned Due Solution Homework 1 Exercises 13.1. #5,6,9 Exercises 13.2. #1,3,6,7,10,11,16,19 Exercises 13.3. #1,2,3,4 Wednesday, July 5 Tuesday, July 11 Solutions Homework 2 Exercises 13.3. #6, 7, 8, 9 Exercises 13.4. #1, 3, 5, 7 Tuesday, July 11 Tuesday, July 18 Solutions Homework 3 Exercises 16.2. #1, 4, 7, 10, 12, 15, 18   Exercises 16.3. # 1, 3, 5, 7, 8, 10 Exercises 15.1. #10, 27, 36 (just find the gradient) Exercises 15.2. #2, 5, 6, 7, 8, 22, 26, 35 Monday, July 17 Tuesday, July 25 extended to Thursday, July 27 Solutions Homework 4 Exercises 16.4. #5, 7, 9, 10, 11.  Exercises 15.3. #5, 7, 9, 24, 45, 46(1, 2, 3, 4, 7, 8). Tuesday, July 25 Tuesday, August 1 Solutions Homework 5 Exercises 16.6. #5, 7, 8, 9, 10, 14.  Exercises 16.7. #7, 8, 9, 10.  Exercises 15.4. #27-28, 35. Thursday, August 3 Thursday, August 10 Solutions Homework 6 Exercises 16.8. #1, 2, 3, 4, 5.  Exercises 16.9. #2, 3, 4, 5, 6, 7, 8.  Exercises 15.5. #10, 11, 12. Wednesday, August 9 Monday, August 14 (Office hours)              or Tuesday, August 15 (Before the start of the exam ) Solutions

• Your homework should be written up neatly. If you use more than one piece of paper, they must be stapled together.

• Homework assignments are to be handed in at the beginning of classes. Late homework will not be accepted.

• At the end of the term, your lowest two homework grades will be dropped.

### Course Policies

• Notes, calculators, cell phones and other electronic devices are not not allowed in the exams.

• A score of zero will be given for the missed midterm/homework.

• If you are unable to attend one of the midterms, you must notify with a legitimate reason or provide professional documentation of any medical emergency. In either of these two cases your other midterm and final exam grade will be scaled accordingly. Undocumented absences from midterms will result in a score of zero.

• Regrading: Please indicate which problems you would like to have regraded and why on a sticky note/stapled piece of paper attached to the homework or midterm in question.

• For a full description of the final exam regulations, see the UBC calendar page on Student Conduct During Examinations. The same regulations apply for the midterms.

Course Outline