Math 20E. Vector Calculus

Math 20E. Vector Calculus - Winter 2019

Lectures: MWF 2-3 in Pepper Canyon Hall 109

Instructor:Hans Wenzl email: hwenzl@math.ucsd.edu

office: APM 5256,

Office hours: MW: 3:30-4:30 and by appointment (just talk to me after class, or email)

Teaching assistants:

Tianhao Wang, email: tiw069@ucsd.edu, office hours: M10-11:50am, F: 4-6pm, office APM 2313

Khoa Tran, email: k2tran@ucsd.edu office hours: W 12-1pm, Th 4-6pm, APM 6414

It is important that you have a look at the material before the lectures since it will help you to follow the lectures, see the where you also find lecture notes. Please ask questions in lectures, since if you don't quite understand something others may not understand either, and the explanations will help everyone understand better and keep the lectures at a pace you can follow. The best way to learn math is by doing examples so try to do all the homework problems and more similar problems. Let us know if you have any complaints and suggestions for improvements.

Text: Marsden and Tromba, Vector calculus,

Calculation of Grade

Your grade will be calculated as the better of the two options as follows:

Option 1: homework (10%), 2 midterms (20% each) and the final (50%).

Option 2: homework (10%), the better of the 2 midterms (20%) and the final (70%)

For both options we will drop your worst homework score for the homework component. There will be no make-up exams. If you miss a midterm, we will automatically use Option 2.

Syllabus and Schedule of lectures.

Below you find a tentative syllabus for the class. We may possibly go a little faster or slower in the course; in the beginning we will likely be going faster.
It is important that you have a look at the material before it is covered in the lectures.

Week	Monday	Wednesday	Thursday	Friday
1	Jan 7 Chap 1.1-3 (Review)	Jan 9 Chap 2.3	Jan 10 Discussion	Jan 11 Chap 2.5
2	Jan 14 Chap 3.2	Jan 16 Chap 5.1-3	Jan 17 Discussion	Jan 18 Chap 5.4
3	Martin Luther King Day	Jan 23 Chap 5.5	Jan 24 Discussion	Jan 25 Chap 6.1
4	Jan 28 Chap 6.2	Jan 30 Chap 4.3	Jan 29 Discussion	Feb 1 Chap 7.1
5	Feb 4 Chap 7.2	Feb 6 Review	Feb 7 Discussion	Feb 8 Exam 1
6	Feb 11 Chap 7.3	Feb 13 Chap 7.4	Feb 14 Discussion	Feb 15 Chap 7.5
7	Presidents' Day	Feb 20 Chap 7.5-6	Feb 21 Discussion	Feb 22 Chap 7.6
8	Feb 25 Chap 8.1	Feb 27 Review	Feb 28 Discussion	Mar 1 Exam 2
9	Mar 4 Chap 8.2	Mar 6 Chap 8.4(4.4)	Mar 7 Discussion	Mar 8 Chap 8.4
10	Mar 11 Chap 8.3	Mar 13 Catchup/Review	Mar 14 Discussion	Mar 15 Review
11	Mar 18 Final Exam 3pm-6pm

Homework Assignments

All homeworks should be handed in, but we only have resources to grade 3-4 problems per set and some sets might be returned ungraded. The lowest homework score will be discarded. Attempt to solve all problems yourself to learn it. Homeworks are usually supposed to be turned in on Fridays. Please turn in your homework on the given date by 8pm.

Review homework need not be turned in as the material was covered in Math 20C. But you are expected to be familiar with them:

Section 1.1: (pg 18) 1, 4, 7, 11, 17 Section 1.2: (pg 29) 3, 7, 12, 22 Section 1.3: (pg 49) 2b, 5, 11, 15ad, 16b, 30 Section 1.4: (pg 58) 1, 3ab, 9, 10, 11 Section 2.1: (pg 85) 2, 9, 10b, 30, 40 Section 2.2: (pg 103) 2, 6, 9c, 10b, 16 Section 2.4: (pg 123) 1, 3, 9, 14, 17 Section 2.6: (pg 142) 2b, 3b, 9b, 10c, 20 Section 3.1: (pg 156) 2, 9, 10, 25 Section 4.1: (pg 227) 2, 5, 11, 13, 19 Section 4.2: (pg 234) 3, 6, 7, 9, 13

Due January 18:

Section 2.3: (pg 115) 5, 6, 9, 10(c)(d), 12, 19(b)(c), 20(b)(c), 28 Section 2.5: (pg 132) 6, 8, 11, 32, 34 Section 3.2: (pg 165) 3, 4, 6 Section 5.1: (pg 269) 3ac, 7, 11, 14

Due January 25:

Section 5.2: (pg 282) 1d, 2c, 7, 8, 9, 17 Section 5.3: (pg 288) 4ad, 7, 8, 11, 15 Section 5.4: (pg 293) 3ac, 4ac, 7, 10, 14, 15 Section 5.5: (pg 302) 5, 13, 17, 30

Due February 1:

Section 6.1: (pg 313) 3, 5, 9, 11 Section 6.2: (pg 326) 1, 3, 7, 11, 13, 15, 24, 26 Section 4.3: (pg 243) 4, 5, 9, 10, 12, 15, 16

Homework relevant for Exam 1, Friday February 8. Need not be turned in

Section 7.1: (pg 356) 1, 4, 6, 7, 11, 12, 19, 27 Section 7.2: (pg 373) 3bc, 4, 11, 13, 17

Exam 1 covers Sections 2.3, 2.5, 3.2, 5.1 - 5.5, 6.1, 6.2, 4.3, 7.1, and 7.2

Some practice exams. They were already posted on piazza by the TA Tianhao Wang, so this is only for those students who have not seen them yet. The exam in this class may be different. Question 3 in the second practice exam was not covered in this lecture. Practice1 Practice2

For those of you who overlooked the announcement in an earlier email: We have a piazza site at Piazza

Due February 15:

Section 7.2: (pg 373) 4, 11, 17 Section 7.3: (pg 375) 1, 2, 4, 5, 9, 13, 19 Section 7.4: (pg 283) 1, 5, 9, 17, 21, (need not be turned in: 24)

Due February 22:

Section 7.5: (pg 398) 3, 5, 6, 15, 19; need not be turned in: 7, 12 Section 7.6: (pg 411) 1, 3, 5, 9 (use ∇ x F = 2x³yz i - 3x²y²z j - 2 k), 19; need not be turned in: 2, 11, 15

Relevant for midterm:

Section 8.1: (pg 437) 6, 7, 9, 13, 15, 23

Exam 2 covers Sections 2.3, 2.5, 3.2, 4.3, 5.1 - 5.5, 6.1, 6.2, 7.1 - 7.6, and 8.1, with an emphasis on 7.2 - 7.6 and 8.1

Some practice exams. They were already posted on piazza by the TA Tianhao Wang, so this is only for those students who have not seen them yet. The exam in this class may be different. You can find solutions for the first practtice exam on Piazza. The second practivce exam contains solutions. Exam2Practice1 Practice2

Due March 8:

Section 4.4: (pg 258) 15, 19, 34, 39, 3, 6 Section 8.2: (pg 450) 8, 13, 15, 19 (compare exercise 7.6.9), 33, need not be turned in: 11, 31

Due March 15. (Not everything will have to be turned in. I will update this later. But everything is relevant):

Section 4.4: (pg 258) 36, 38 Section 8.3: (pg 459) 2, 3, 6, 10, 13, 16, (need not be turned in: 7, 18) Section 8.4: (pg 474) 5, 7, 14, 19, 29 (need not be turned in: 11, 15)

Some practice exams. They were already posted on piazza by the TA Tianhao Wang, so this is only for those students who have not seen them yet. The final in this class may be different. Some solutions can be found on piazza, look at (Solution to Final added) PracticeFinal1 PracticeFinal2

The following is a review sheet from another professor. It may help with reviewing the material: review sheet