Calculus III  - 
Vector Calculus -  Math B6C
Bakersfield College - Spring 2010

Professor Rafael Espericueta    mathprof@pacbell.net

Course Syllabus                  


Maple is not required for the class, but highly recommended.
To see how to obtain it with a discount, click here.


Important:   Supplement for Chapter 14 

Interesting Lagrange multiplier application -
     Multi-Layer Refraction Problem


Quizzes    Spring 2010

Chapter 12 Quiz Solutions  

Chapter 12 Quiz - Maple Worksheet in PDF format

Chapter 12 Quiz Maple Worksheet 
( Maple 13 needed to open this )

Chapter 13 Quiz - Solutions

Chapter 13 Quiz Maple Worksheet 
( Maple 13 needed to open this )

Chapter 14 Quiz Solutions

Chapter 14 Maple Worksheet  ( Maple 13 needed to open this )

Chapter 15 Quiz Solutions 

Chapter 15 Quiz Maple Worksheet ( Maple 13 needed to open this )

Chapter 16 Quiz Solutions 

Chapter 16 Quiz Maple Worksheet ( Maple 13 needed to open this )


Exams and Solutions from a previous year...

Chapter 12 Quiz           Chapter 12 Quiz - Solutions       
  
Chapter 12 Quiz - Maple Worksheet  
(-:   If you have Maple 12...
                      Right click on this link, and save it to your hard drive;
                      then run it !   :-)


Chapter 13 Quiz           Chapter 13 Quiz - Solutions

Chapter 13 Quiz - Maple Worksheet 
(-:   This is a webpage anyone
                                                                 should be able to view.   :-)

Chapter 13 Quiz - Maple Worksheet  (-:   If you have Maple 12...
                      Right click on this link, and save it to your hard drive;
                      then run it !   :-)


Chapter 14 Quiz           Chapter 14 Quiz - Solutions  

Chapter 14 Quiz - Maple Worksheet 
(-:   This is a webpage anyone
                                                                 should be able to view.   :-)

Chapter 14 Quiz - Maple Worksheet  (-:   If you have Maple 12...
                      Right click on this link, and save it to your hard drive;
                      then run it !   :-)


Chapter 15 Quiz           Chapter 15 Quiz - Solutions  

Chapter 15 Quiz - Maple Worksheet 
(-:   This is a webpage anyone
                                                                 should be able to view.   :-)

Chapter 15 Quiz - Maple Worksheet  (-:   If you have Maple 12...
                      Right click on this link, and save it to your hard drive;
                      then run it !   :-)


Chapter 16 Quiz           Chapter 16 Quiz - Solutions  
    
Chapter 16 Quiz - Maple Worksheet 
(-:   This is a webpage anyone
                                                                 should be able to view.   :-)

Chapter 16 Quiz - Maple Worksheet  (-:   If you have Maple 12...
                      Right click on this link, and save it to your hard drive;
                      then run it !   :-)


Interesting Calc III links:

Interesting Calculus III link!

Vector Calculus Lecture Notes from MIT

Manifolds and Differential Forms by Reyer Sjamaar 
        The actual book in pdf format!
   
    A more advanced version of vector calculus, wherein both
        Stokes theorem and the divergence theorem are special
        cases of the surprisingly simple equation:


The FINAL EXAM is scheduled for Tuesday May 11 at 6pm.

You may bring a page of notes (both sides), a calculator, and scratch paper.