m 427l ap-h 55195

M427L AP Hons Fall 2011

TTh 11:00am-12:30pm RLM 6.120

Discussion Group: 55195: MW 3:00-4:00pm RLM 5.114

Instructor: John E. Gilbert

Office Hours: TTh 12:30-2:00pm

Office: RLM 12.134

[email protected]

TA: Kyudong Choi

Office Hours: M 4:00-6:00pm, W 4:00-6:00pm

Office: RLM 10.142

[email protected]

There will be no required text for the course, but you may find

MARSDEN & TROMBI Vector Calculus 5e ISBN: 978-0-7167-4992-9

useful for supplementary information and further exercises.

To gain full benefit from the use of Quest in this course you need to have Mathematica CDF Player loadedon your computer. This is FREE software available for download at http://www.wolfram.com/cdf-player.

HOMEWORK and LECTURE SCHEDULE M427L AP Hons

HW01: Single-Variable Calculus Review

HW02:

{Lecture 1. Vectors in Two- and Three-Dimensional space

Lecture 2. Inner Product, Length and Distance

HW03:

{Lecture 3. Matrices, Determinants, Cross Product

Lecture 4. n-Dimensional space, Coordinate systems

HW04:

{Lecture 5. Graphs of real-valued functions

Lecture 6. Differentiation, Paths and Curves

HW05:

{Lecture 7. Gradients, Directional Derivatives

Lecture 8. Higher Order Derivatives, Taylor’s theorem

HW06:

{Lecture 9. Extrema of real-valued functions

Lecture 10. Constrained Extrema

HW07:

{Lecture 11. Motion in Space

Lecture 12. Vector Fields

HW08:

{Lecture 13. Divergence and Curl

Lecture 14. Introduction to Double Integrals

HW09:

{Lecture 15. Integrals over Arbitrary Regions

Lecture 16. Triple Integrals

HW10:

{Lecture 17. Geometry of Maps

Lecture 18. Change of Variable, Jacobian

HW11:

{Lecture 19. Path Integral

Lecture 20. Line Integral

HW12:

{Lecture 21. Parametrized Surfaces and Area

Lecture 22. Surface Integrals of Scalar Functions

HW13:

{Lecture 23. Surface Integrals of Vector Functions

Lecture 24. Green’s Theorem

HW14:

{Lecture 25. Stokes Theorem

Lecture 26. Gauss’ Theorem

HW15: Lecture 27. Conservative Fields

August/September, 2011:

Monday Tuesday Wednesday Thursday

22

29

23

30

24

31

25

1

HW 02 due 3:00am

discussion Lecture 1

discussion Lecture 2HW 01 due 3:00am

discussion Lecture 3Training Quiz

September, 2011:


5

12

19

26

6

13

20

27

7

14

21

28

8

15

22

29

HW 03 due 3:00am

HW 04 due 3:00am

HW 05 due 3:00am

HW 06 due 3:00am

Labor Day Lecture 4 discussion Lecture 5

discussion Lecture 6 discussion Lecture 7

EXAM 1 Lecture 8 discussion Lecture 9


Quiz 1

Quiz 2

October/November, 2011:


3

10

17

24

4

11

18

25

5

12

19

26

6

13

20

27

HW 07 due 3:00am

HW 08 due 3:00am

HW 09 due 3:00am

HW 10 due 3:00am





Quiz 3

Quiz 4

Quiz 5

November/December 2011:


31

7

14

21

28

1

8

15

22

29

2

9

16

23

30

3

10

17

24

1

HW 11 due 3:00am

HW 12 due 3:00am

HW 13 due 3:00am

HW 14 due 3:00am

HW 15 due 3:00am




discussion Lecture 26 discussion Thanksgiving

discussion Lecture 27 EXAM 4 Final Review

Quiz 6

Quiz 7

Quiz 8

Quiz 9

FINAL: Tuesday, Dec.13, 9:00-12:00noon, room:TBA

COURSE GRADE

Your course grade will be determined by

• Homework (20%): 15 homework assignments will be set, and the 3 lowest homework scores will bedropped. These will be web-based with answers returned via the web.

• Quick Quizzes (7%): 9 quizzes will be set weekly during discussion groups. Each will lastapproximately 10-15 minutes and the 2 lowest quiz scores will be dropped. For these you will need to use aiCLICKER. Please obtain one and register it with Quest to obtain your Clicker # if you have not already doneso.

• Exams (45%): 4 exams will be set in class as announced in the lecture schedule. These will all be inbubble-sheet format. No exam scores will be dropped.

• Final (28%): a 3 hour comprehensive Final will be held on Tuesday Dec 13 beginning at 9:00am.This will be in bubble-sheet format.

Grades will use the +/− scheme but

GRADE CUT-OFFS WILL NOT BE ANNOUNCED UNTIL AFTER THE FINAL EXAM.

OTHER INFORMATION

Quest Charge: this course makes use of the web-based Quest content delivery and homework server system

maintained by the College of Natural Sciences. This homework service will require a $22 charge per student for its use,

which goes towards the maintenance and operation of the resource. After the 12th day of class, when you log into

Quest you will be asked to pay by credit card on a secure payment site. You have the option to wait up to 30 days to

pay while still continuing to use Quest for your assignments. If you are taking more than one course using Quest, you

will not have to pay more than $50 per semester. Quest provides mandatory instructional material for this course. For

payment questions, email: [email protected].

Students with disabilities: the University of Texas provides appropriate academic accommodations for qualified

students with disabilities. For more information, contact the Office of the Dean of Students at 471-6259, 471-6441

TTY. If you plan on using such accommodations, you need to notify me early in the semester.

Religious Holidays: by UT Austin policy, you must notify me of your absence at least 14 days prior to the

observance of a religious holiday. If you must miss a class, examination, or assignment in order to observe a religious

holiday, you will be given an opportunity to complete the missed work within a reasonable time after the absence.

m 427l ap-h 55195

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