MAC 2313 - Section 03 - Fall 2003
Picture of Monica K. Hurdal Lateral Right View of Neural Tissue


MONICA K. HURDAL
Teaching


Phone: +1 850 644-7183   
Fax: +1 850 644-4053
E-mail: mhurdal@math.fsu.edu

Test 2 - Review

Related Pages: Course Home Page | Syllabus | Schedule and Homework

As stated in class, you are allowed to bring to the test one 8.5x11 inch page, written on both sides. You can write whatever you want on this page: eg. definitions, formulas, examples, etc. Calculators will be allowed for the test.

Chapter 15 (15.1 - 15.3) - Optimization
Critical Points

  • types of critical points
  • finding critical points algebraically
  • second derivative test
  • local vs. global extrema
  • Lagrange multipliers
  • applications: solving unconstrained and constrained optimization problems (i.e. word problems)

    See also Chapter 15 Summary on page 728
    Review Homework for Chapter 15, pg 728: #1, 3, 9, 11, 13, 15, 19, 21, 27

    Chapter 16 (16.1 - 16.5, 16.7) - Integrating Functions of Many Variables
    Double and Triple Integrals

  • definition
  • interpretation
  • compute numerically and algebraically
  • change limits of integration
  • applications of integrals: volume, area, average value, mass (i.e. word problems)
    Change of Variables in Integration
  • use Jacobian to change coordinate systems
  • polar coordinates
  • cylindrical coordinates
  • spherical coordinates
  • any coordinate system

    See also Chapter 16 Summary on page 777
    Review Homework for Chapter 16, pg 777: #1, 3, 5, 7, 9, 11, 13, 15, 17, 18-21, 37, 41

    Home Page


    Copyright 2003 by Monica K. Hurdal. All rights reserved.