MATH 5B    VECTOR CALCULUS    MWF 9:00-9:50am, GIRV 1004.


Instructor:  Azer Akhmedov

Office: 6702 South Hall
Office Hours: Wednesday 3-6pm.
E-mail: akhmedov  AT  math.ucsb.edu


Teaching Assistants:


 Jeffrey Case                                       Tomas Kabbabe

 Office: South Hall, 6431-S                Office: South Hall, 6432K
 Office Hours: TBA                            Office Hours: TBA
 E-mail: casej@math.ucsb.edu          E-mail: tomas@math.ucsb.edu



  SECTIONS:

  CASE J S             T 5:00- 5:50 GIRV 2119                 
  KABBABE T      R 5:00- 5:50 GIRV 2124                     
  CASE J S             T 6:00- 6:50 GIRV 2108               
  KABBABE T      R 7:00- 7:50 GIRV 2124            
  CASE J S             T 8:00- 8:50 GIRV 2124           
  KABBABE T      R 8:00- 8:50 PHELP 1448         
  KABBABE T      R 6:00- 6:50 GIRV 2123 


  Textbook: Miroslav Lovric, Vector Calculus. 


   GRADING SCHEME:     SCHEME 1.  Homework:  25%,  Midterm:  20%,  Quizzes:  15%    Final: 40% 
                                             SCHEME 2.  Homework: 20%,  Midterm:  20%,   Quizzes: 10%     Final: 50%
                                              
                                              I will choose the better of the two grades.



 HOMEWORK.  We'll be using WebWork. You will receve your username/password and all necessary instructions by no later than
                              Wednesday of the first week.
                               If you do not receive it, that means you are either not registered or not using your ucsb e-mail account. In any case,
                               please let me know.


 MIDTERM.    Time: Feb.11th, 9-9:50am.  Place: In classroom. 
                           Books and claculators are not allowed. You may use one 3x5 notecard. Please bring ID and one big bluebook.
                           PRACTICE PROBLEMS

 QUIZZES:      A quiz will be offered in sections every week. We will drop the lowest score and substitute it with the highest one.
                          Please talk to your TA if you have questions.
                   

 FINAL:           Time/Place: THURSDAY, March 20th,  8-11am. In classroom.
                          Books and claculators are not allowed. You may use one 3x5 notecard. Please bring ID and one big bluebook.
                          PRACTICE PROBLEMS
                          FINAL EXAM covers ALL MATERAILS taught during the quarter.

 
     TENTATIVE COURSE SCHEDULE: 

 Date
                            TOPIC                                     
                   
1/7
  Vectors in space. Magnitude.
1/9
  Properties of addition and multiplication by scalar
1/11
  Dot Product
1/14
  Dot Product and Angle.
1/16
  Determinants. Cross Product.
1/18
  Function of several variables.

1/21
  Martin Luther King Jr. Day!
1/23
  Level Curves. Local Maxima, Minima.
1/25
  Limits. Continuity.
1/28
  Partial Derivatives.
1/30
  Extreme Points. Hessian.
2/1
  Gradient and Directional Derivative.
2/4
  Properties of Derivative.
2/6
  Finding Global Maxima/Minima.
2/8
  Curves in Planes and Spaces.
2/11
  
 MIDTERM
2/13
  Length of a Curve.
2/15
  Divergence and Curl.
2/18
  PRESIDENTS DAY
2/20
  Implicit Function Theorem.
2/22
  Paths and Parametrizations.
2/25
  Path Integrals of Functions.
2/27
  Path Integrals of Vector Fields.
2/29
  Integrals Independent of Path.
3/3
  Double Integrals.
3/5
  Double Integrals over General Regions.

3/7
  Techniques of Integration.
3/10
  Green's Theorem.
3/12
  Green's Theorem.
3/14