MATH 253a - Accelerated Calculus III

Click here for latest version of the Syllabus

Current Office Hours:

Monday 1:30-4 walk-in (other times by appointment)

The Final Exam Scores (and your midterms, for checking) are available here

You will need to get your letter grade from MyUH.

Date: Assignment(s): Handouts
Aug 22 Class: go over syllabus, start vectors.

Homework:

Read: 11.1-11.3

Problems: (not to be turned in):
11.1/35, 37, 41, 51
11.2/3-39 odd mult of 3; 31, 41, 49
Will be discussed Friday

Slides from lecture:

Vectors 1

Aug 24 Class: Dot products, start cross product(?)

Homework:

Read 11.4

Problems:
11.3/3,5,15c,17,19,25b,27
HW will be discussed Friday

Slides from lecture:

Vectors 2 (dot products)

Vectors 3 (cross products)

Aug 26 Class: Finish cross product

No quiz; in-class discussions of 11.1-3

Aug 29

Class: Start cross product

Homework:

Read 11.5

Problems:
11.4/3,23,27,28,29, 30abc,31,33,24 (you should be able to do these based on material covered Aug 29

11.4/17,21,23,35,41 (might require Wednesday's lecture)

Aug 31 Class: Finish cross product, start lines/planes

Problems:
11.5/3,9,23,25,26,27,31,35,41,59,61,65,67

Lines/planes lecture slides
Sep 2 Class: Finish lines/planes

Quiz on 11.3-4

Sep 7 Class: Finish lines/planes, start vector functions
Sep 9 Class: Continue vector functions

Discuss HW on 11.5

Problems:
12.1/7,21,23,25,27,28,29a
12.2/5,9,27ac,29

Readings/HW on trajectories in 12.2 is optional.
Optional HW: 12.2/17,24

Lecture notes/slides on vector functions (part 1)

Sep 12

Quiz on 11.5

Lecture notes/slides on vector functions (part 2)
Sep 14 12.3/3,5,7; look at 18
Sep 16
  1. Review HW on 12.1-2
  2. Frames (cont.) and curvature
  3. Quiz on 12.1-2
Sep. 19 12.4/1,5bc,6ab,7ab,11,17,23,26
Sep 21 12.5/5 (see text example 1), 7,11,23
Sep 23 Quiz on 12.3,4

I will finish the derivation of Kepler's 1st Law (12.6), then return to Polar Coordinates. We'd essentially done 10.1-2, I'll probably do 10.3 and 10.5 in class and leave 10.4 to you (it should be review!)

Handout (slides) on Polar Graphing and Area
Ch. 10 HW

We'll discuss Wednesday, but please email me by Tuesday PM with requests.

10.1/23,27,29,33,40,45 (these shouldn't take you more than a few minutes/each

10.2/19,21,32 (don't use a computer on this one!)

10.3/5,9,17,23

Sep. 26 Finish Ch.10; start Ch. 13 Quiz 4 Solutions here
Sep. 28 Discuss HW from Ch10,12.5

Continue Ch. 13

Quiz 3 Solutions Here
Sep 29 Review session for Exam I

Thursday, Sep 29, 3-5 Keller 313

Sep 30 Midterm Exam I
  • Coverage: Chapters 10-12, sections for which you had homework
  • I will supply a calculator and a Table of Integrals
  • You can bring a crib sheet consisting of one side of one sheet of paper with any notes/formulas/whatever you want on it.
  • Quiet food and drinks are OK

Practice Exam Here

Oct 2 13.1, 2

13.1/13-18,21,27,39

Lecture notes for 13.2 13.3
Oct 5

13.2/9,13,17,23,29,35,41,45,51,53

Oct 7 13.3/9,15,17,21,27,37,49,51,52,57,69,71,77

13.5/9,11,15,19,21,27,32

Oct 10 Quiz on 13.1,2

13.5/13, 19, 25, 29, 35

13.4/3,9-23 odd,27, 29, 30, 41, 45, 47

Oct 12
Oct 14 Quiz on 13.3,5

For 13.6, the critical material is through p.741. The remainder, on using the derivative to approximate function values, is a natural analogue of the work we did on approximations in Calc I, and worth looking at because (a) it is easy, and (b) I will have an optional/extra credit exam problem on it which will be easy if you do this section.

13.6/3,5,9,15,17; optional 21,41

Oct 17 13.7/3,7,17,27; 31, 37, 39, 47,55 Lecture notes on 13.7
Oct 19 13.8/5,9,13,19,23,29 <= 1-constraint LaGrange problems

13.8/31,37 <= 2-constraint LaGrange problems

13.8/43 <= just an interesting problem; do it!

These are due on Friday. No quiz, but I'm going to have everyone go to the board, so get them done!

Overhead transparency examples from Oct 19

Two extra interesting worked min-max examples

Oct 21

LaGrange Multipliers for Oct 21

Oct 24 Quiz on 13.4,6,7 Multiple Integrals - definition handout
Oct 26 14.1/7,9,17,23

14.2/7,9,13,21,35,39,43,53 (last one is tough!)

Oct 28 14.3/3,5,11,13

14.5/5,9,15,19,23,31,33,43; think about 48

Oct 31 14.4/3,9,11,20, 25, 27, 29
Nov 2 14.6/3,7,10,15,23
Nov 3

NOTE: Optional homework session on 14.1,2, 3, and 5

Thursday, Nov 3 3:30-4:20 KELLER 314

If you come, come with questions on the 14.1,2,3,5 homework.

Nov 4 Quiz on 14.1,2,3,5

Solutions

Nov 7 14.7/5,7,15,17,29,35,41,45,53,67,77,81
Nov 11 No Class

Virtual (online, no credit) quiz on 14.4,6,7

SOLUTIONS (by request)

Nov 14 14.8/ 3,6,9,20,21 (not on upcoming midterm)

(These are not very interesting problems, except for 20-21. I will hunt for others.)

Nov 17 Review session (optional)

3:30-5+, keller 313

bring problems to discuss (some are below)

Nov 18 Midterm Exam II
  • Coverage: Section 13.1-13.8,14.1-14.7
    (13.6 only as discussed above)
  • You can bring a crib sheet consisting of one side of one sheet of paper with any notes/formulas/whatever you want on it.
15.1/9,11,15,21,24
Nov 28 15.2/9,17,19,23,29,30,37
Nov 30 15.3/3,9,15,19,37
15.4/7,11,17,21,23,25,26; look at 35
Lecture notes on Div, Grad, Curl
Dec 2 No quiz today Lecture notes on Div, Grad, Curl (second part)

Surface Integrals

15.5/5,17,19,33

15.6/9,15,21,35

15.7(optional, but worth trying)3,7,13,22

Review Session:

Dec 13 (Tuesday), 3:30-4:30 or later, Keller 401; focus on Ch 15 homework

Dec 14 (Wednesday), 3:30-4:30 or later, Keller 402; general review

Dec. 16

Final Exam
Friday, Dec. 16, 9:45-11:45

Some practice final exams:

Practice Final 1
Practice Final 2
Practice Final 3
Practice Final 4

Warning: these cover slightly different portions of the semester's material. For example, the 4th practice final is the only one with material on Ch. 15.

I will not post solutions to these!

The Final Exam Scores (and your midterms, for checking) are available here

You will need to get your letter grade from MyUH.