Math 32A, Lecture 3
Winter 2008
Lecture Meeting Time: MWF 1:00P-1:50P
Lecture Location: MS 5200



Professor:     Talia Fernós
Office:     MS 6228
Office Hours: Monday 9:30-10:30am & Wednesday 2-3pm, or by appointment (please see the comment about email at the end).
**Last week of School: Monday: 10am to 11:30, Tuesday: 3-4:30, Wednesday: 2-4pm


Teaching Assistants:    
Kree Cole-McLaughlin & Zaher Hani

TA Office Hours:
            Kree Cole-McLaughlin:
                    Thursdays 12-1pm in MS 2943 

                    Wednesdays 2-3pm
in the SMC (MS 3974)
            Zaher Hani:
                    Thursdays 12-1pm in MS 3919
                    Tuesday 2-3pm
in the SMC (MS 3974)


Discussion Sessions:

    3a    MS 5117     T 1:00P-1:50P   
Kree Cole-McLaughlin
    3b    HUMANTS A26     R 1:00P-1:50P    Kree Cole-McLaughlin
    3c    WGYOUNG 4216     T 1:00P-1:50P    Zaher Hani
    3d    MS 5137     R 1:00P-1:50P    Zaher Hani


Text: Stewart's Multivariable Calculus, 5th ed.


Homework: Homework will be assigned every day during lecture and is due the following Monday. This is with the exception that Monday is a holiday, in which case it is due on Wednesday.


Homework Assignments (updated regularly): Please note that the course reader has been instructed not to correct illegible handwriting. This includes scribbled out partial solutions, etc.

HW 1:  (Due Week II)
            M: Section 13.1 ex 1, 3, 12, 28, 30.
            W:
Section 13.2: ex 1, 3, 7, 14, 24, 26
             F: Section 13. 3: ex 1, 9, 11, 12, 19, 24a, 24c, 28; understand the Right Hand Rule

HW 2: 
(Due Week III)
            M: Section 13.3: ex 41, Section 13.4: ex 3, 9, 10, 12, 16, 25, 29
            W:
Section 13.5: ex 3, 5, 12, 14, 17, 23, 46
             F: Section 11.1: ex 3, 7, 15, 24, 26

HW 3: 
(Due Week IV)
            W:
Section 14.1: ex 1, 3, 11, 16, 19-24
             F: Section 14.2: ex 4, 18, 30, 36

HW 4:  (Due Week V)
            M: Section 14.3: ex 5, 10, 16, 28, 32
            W: Section 15.1: ex 6, 16, 24, 30, 32, 36
             F: Section 13.6: ex 1, 21-28, 30, 31, 34

***********Midterm
***********
Midterm Review



HW 5:  (Due Week  VII)
            M: 15.2: ex 1, 4, 6, 12, 5, 9, 14, 23, 24, 27, 28, 32 (Odd optional) Show the limits exists or that the function is continous at the point in question using an "epsilon-delta" argument as was discussed in class.
            W & F: 15.3: ex 1a, 5-8, 13, 15, 17, 18, 20, 21, 24, 26, 33, 39, 40, 45-49, 56-58, 66
(Odd optional)


HW 6:  (Due Week VIII)
            W: Section 15.4: 4, 5, 11, 12, 17, 20, 23, 24, 27, 28, & NOT OPTIONAL: 29, 39
             F:
Section 15.5: ex 1, 5, 6, 10, 11, 13, 14, 17, 22-25, 45 (is a nice problem), 46

HW 7:  (Due Week IX)
            M: Section 15.5: ex 29-32, 35, 36; Section 15.6: ex 1, 2, 5, 6, 9-11, 13, 14, 16, 17
            W: Section 15.6: ex 7, 8, 18, 22-25, DO: 27, 38, 40a
             F:
Section 15.6: ex 32-34

HW 8:  (Due Week X)
            M: Section 15.7: ex 1-4, 8, 9, 13-16, 39-40, DO: 53
            W&F: Section 15.7: ex 27-32, 41-42, Section 15.8:  3-6, 11-14, 18-19, 23-24, 27-28, Do: 39, 43


Quizzes: There will be 8 quizzes. They will be administered in your discussion sessions each week except for the first week and the week of the midterm.

Midterm: Friday, Week V, February 8.
You can not reschedule  the midterm under any circumstances.

Final Exam: The final exam code is 06. If you do not take the final you will automatically fail the course. You can not reschedule it
under any circumstances.


Course Grading Schemes:
You will be given the best grade according to the following 2 schemes.

Scheme 1: Scheme 2:
       Homework (Drop lowest score) 15%        Homework (Drop lowest score) 15%
       Quizzes (Drop lowest score) 15%        Quizzes (Drop lowest score) 20%
       Midterm (No makeups) 20%        Final 65%
       Final 50%

      
Virtual Office Hours:
http://www.math.ucla.edu/classes/math/08w/32a.3.08w/voh/

I will occasionally check the VOH. It is more an opportunity for the class to answer eachother's questions.  Please take advantage of this resource.

Tutoring: There are various free tutoring options at your disposal and I encourage all of you to take advantage of them.

*Student Math Center @ MS 3974, re-open on Wednesday, January 9, 2008. 
  Hours: Monday through Thursday, 09:00 a.m. to 3:00 p.m.

*Covel Tutorials (must sign up at the beginning of the quarter; it's free)
230 Covel Commons, in Sunset Village, just north of Sproul Hall.

*Covel Drop-In Tutoring M - Th, 7:00 to 9:00 p.m.

Email: Due to students over-emailing me with questions that are answered above, I will only answer emails requesting additional office hours.

Google Calendar: If you have a gmail account (if not, you can get one for free at mail.google.com) you can search the calendar database for "Math 32a, Lecture 3". There you will find a calendar with the due dates of homework, dates of quizzes, and the midterm.


January Schedule
February Schedule
March Schedule


Syllabus:

Week I:
13.1 Three Dimensional Coordinate Systems
13.2 Vectors
13.3 Dot Product

Week VI:
15.2 Limits and Continuity
15.3 Partial Derivatives
Week II:
13.4 Cross Product
13.5 Equations of Lines and Planes
11.1 Curves defined by parametric equations

Week VII:
15.4 Tangent Planes and Linear Approximation
Week III:
14.1 Vector Functions
14.2 Derivatives and Integrals of Vector Functions

Week VIII:
15.5 Chain Rule
15.6 Directional Derivatives and the Gradient Vector
Week IV:
14.3 Arc-length and curvature
15.1 Functions of several variables
13.6 Cylinders and quadric surfaces

Week IX:
15.7 Maximum and Minimum Values
15.8 Lagrange Multipliers
Week V:
15.2 Limits and Continuity
Review
Midterm

Week X:
Review
14.4 Motion in space; Kepler's Laws
 



Solutions:

Tuesday Quiz 1
Thursday Quiz 1
Homework 1

Tuesday Quiz 2
Thursday Quiz 2
Homework 2

Tuesday Quiz 3
Thursday Quiz 3
Homework 3

Midterm
Tuesday Quiz 4
Quiz 4 was eliminated (Both Tuesday and Thursday).
Homework 4

Tuesday Quiz5
Thursday Quiz 5
Homework 5

Tuesday Quiz 6
Thursday Quiz 6
Homework 6

Tuesday Quiz 7
Thursday Quiz 7
Homework 7

Tuesday Quiz 8
Thursday Quiz 8
Homework 8

Second Review Sheet (in addition to midterm)