MAC 2313 - Section 03 - Fall 2003
Related Pages: Course Home Page | Syllabus | Schedule and Homework
As stated in class, you are allowed to bring to the exam one 8.5x11 inch
page, written on both sides for the final exam. You can write whatever you
want on this page: eg. definitions, formulas, examples, etc. Calculators will
be allowed for the exam.
Dr. Hurdal's Office Hours during Exams
This course covered Chapters 12-20 from the course text book:
Chapter 12 - Functions of Several Variables
Chapter 13 - Vectors
Chapter 14 - Partial Derivatives
Chapter 15 - Optimization
Chapter 16 - Multiple Integration
Chapter 17 - Parametric Equations and Vector Fields
Chapter 18 - Line Integrals
Chapter 19 - Flux Integrals
Chapter 20 - Divergence and Stokes' Theorems
The final exam will cover material from the entire course. However,
30-40% of the exam will cover material from Chapters 18-20.
There will be approxiamately 10 questions, plus one bonus question. The
bonus question will have a value equal to 10% of the exam.
I suggest you focus on the following types of problems as they test
multiple things covered during the course:
Line Integrals
- tests line integrals, vector dot product, parametric equations
Divergence Theorem
- tests divergence, flux integrals, multiple integration
Stokes' Theorem
- tests curl, vector cross product, line integrals, multiple integration
Green's Theorem
- tests line integrals, multiple integration
Vector Fields - be able to draw and interpret
- tests understanding and interpretation of vector fields and related
concepts including curl, divergence, flux, work (line integrals)
Coordinate Transformations
- tests polar, cylindrical, spherical coordinates, transformation of
coordinates, applications of integration
Optimization Problems
- tests understanding and applications of partial derivatives
Partial Derivatives including Gradients and Directional Derivatives
- tests applications and understanding of partial derivatives, chain rule
Surfaces including Contour Maps
- tests understanding of 3D functions, equations of the plane
Make sure you can do all the assigned review problems and practice on
the previous tests and quizzes. If you can do those problems correctly while
using your time efficiently, then you will do well on the final exam.
Here are the reviews from the previous tests:
Test 1 Review
Test 2 Review
Test 3 Review
Review for final Chapters
Here are pdf files of the tests which you can download and print.
You will need a pdf viewer, such an Adobe Acrobat Reader to view these files.
Test 1 (pdf file, 30K)
Test 2 (pdf file, 43K)
Test 3 (pdf file, 40K)
Good luck on the exam! I enjoyed having all of you in my class.
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Copyright 2003 by Monica K. Hurdal. All rights reserved.