Math-416, Vector Analysis
Dr. K. G. TeBeest
Summer 2013 








  
      
      
         Course Policy

  
  
      
      
         Dr. TeBeest's Schedule
  





  
      
      
         Comments about Final Exams

  
  
      
      
         Developing Good Study Habits
  





  
      
      
         Mathematical Writing Style

  
  
      
      
         Course Syllabus
  





   
   

     
     ANNOUNCEMENTS
     


     YOU ARE EXPECTED TO CHECK THE ANNOUNCEMENTS DAILY.

   




    


























  1.  
     You should have all electronic devices (cell phones, i-pods, MP3
     players, ear-buds, etc.) completely turned off and stowed before
     coming to class.
     Recording devices are strictly prohibited. Using electronic
     devices during class without my permission may result in their being
     confiscated and academic discipline.


    


  2.  Review your lecture notes before each lecture. (For example,
     when I ask specific questions about the previous lecture, you should be
     able to answer them without looking at  your notes.)

    


  3.  If you miss a lecture, you should obtain copies of the lecture notes
     from a classmate.

    


  4.  You should read the affiliated sections as we cover the material.

    

















 


























Assignments:



The answers to many of the problems are given in the text.
However,
you should always try to work each problem
entirely to completion
before reading the answer!
See me any time if you have questions.





    


  1.  Sections 1.1 and 1.2 – Basic Principles.
July 16

    


  2.  Section 1.3 – Vector Multiplication by Scalars.
July 16

    


  3.  Section 1.4 – 2D Vectors in Cartesian Coordinates.
July 19

    


  4.  Section 1.5 – 3D Vectors in Cartesian
Coordinates.
July 19

    


  5.  Section 1.6 – Types of Vectors.
July 19

    




  6.  Section 1.7 – Applications to Geometry.
July 23

    


  7.  Section 1.8 – Lines.
July 23
   We'll do examples on Friday.

    


For your own benefit, review your notes before each lecture.


    


  8.  Section 1.9 – Scalar Product.
July 26
   We'll do examples on Tuesday.

    


For your own benefit, review your notes before each lecture.


    




  9.  Section 1.10 – Planes.
July 30

    


  10.  Section 1.11 – Orientation (read the section).
July 30

    


  11.  Section 1.12 – Vector Products.
August 2

    




  12.  Section 1.13 – Triple Scalar Products.
August 2

    


  13.  Section 1.14 – Vector Identities.
August 6

    




Read Sections 1.15 and 2.1 for Tuesday.
    
On Tuesday I will discuss 1.15 more and will easily cover 2.1 and start 2.2.
    

    


  14.  Section 1.15 – Tensor Notation.
August 13

    




  15.  Section 2.1 – Differentiation.
August 13

    

Read Sec. 2.2 before Friday.

    


  16.  Section 2.2 – Space Curves, Tangents,
Velocity, and Arc Length.
August 16

    


  17.  Section 2.3 – Acceleration and Curvature.
August 20

    


  18.  Section 2.4 – Planar Motion in Polar Coordinates.
August 23

    


  19.  Section 3.1 – Gradients and Isotimic Surfaces.
August 27

    


  20.  Section 3.2 – Vector Fields & Flow Lines.
September 3

    


  21.  Section 3.3 – Divergence.
September 3

    


  22.  Section 3.4 – Curl.
September 6

    


  23.  Section 3.5 – General Problems Involving Del.
September 6

    


  24.  Section 3.6 – The Laplacian.
September 10

    


  25.  
Sections 3.8 & 3.9 – Vector Identities and Tensor Notation.
September 13

    


  26.  
Section 3.10 – Cylindrical & Spherical Coordinates.
September 17

    




  27.  
Section 4.1 – Line Integrals.
September 20

    


  28.  
Section 4.2 – Domains and Terminologies.
September 20

    


  29.  
Section 4.3 – The Potential Function.
September 24

    


  30.  
Section 4.4 – Irrotational Fields.
September 24

    





  31.  
Section 4.7 – Surface Integrals.
September 24

    







































Remember that:


    
  
  1.  You are responsible for successfully completing all assigned
       problems in all your courses.
  
  2.  The exams may include problems similar to these assignments and
       lecture examples.
  
  3.  We must maintain a steady pace to cover the material
       that constitutes Math-416. If you have difficulty with a section, be
       sure to see me for help immediately. 
       See my schedule for details.
  
  4.  No matter how simple a topic appears when you see my examples or read
       the text, you will almost certainly have difficulty completing an exam
       if you do not practice the examples and do the assignments beforehand.