Math 20 - Introduction to Linear Algebra and Multivariable Calculus
Spring 2005

Final Exam Information

• Date, Time, & Location: The final exam will be given on Friday, May 27th, from 9:15 am to 12:15 pm in Emerson 305. The final exam will be cumulative.

• Study Resources:

  • Final Exam Review Guide
  • Practice Problems (Set 1) & Solutions
  • Practice Problems (Set 2) & Solutions
  • Practice Problems (Set 3) & Solutions
  • Midterm 1 Solutions
  • Midterm 2 Solutions
  • Problem Set solutions are available from the Problem Sets page
    
    
  • Assignment Problem Notes
  • Two-Person Zero-Sum Games Notes
  • Eigenvalue and Eigenvector Notes
  • Discrete Dynamical Systems Notes
  • Lagrange Multiplier Notes

• First-Semester Calculus Review: You are responsible for knowing many of the differentiation formulas and rules from first-semester calculus. In particular, you should be able to differentiate polynomials, rational functions, root functions, power functions, exponential functions, logarithmic functions, and the trigonometric functions sine, cosine, and tangent. You should also be able to apply the product, quotient, and chain rules to find derivatives. Here are several sets of practice problems, borrowed from the Math Xb web site. You should be able to solve any of the problems on these sets with the exception of ones involving the secant, cosecant, cotangent, and inverse trig functions (arcsin, arccos, arctan, etc.).

  • Derivatives of Algebraic Functions
  • Derivatives of Exponential and Logarithmic Functions
  • Derivatives of Trigonometric Functions
  • Product and Quotient Rules
  • Chain Rule

• Review Sessions and Office Hours:

  Date	Time	Location	Description
  Monday, May 16th	2 to 5 p.m.	Mather Dining Hall	Office Hours with Nancy
  Monday, May 16th	3 to 4 p.m.	SC 231	Office Hours with Dr. Bruff
  Tuesday, May 17th	7 to 8:30 p.m.	SC B-10	Review Session with Dr. Bruff Practice Problems & Solutions
  Wednesday, May 18th	2 to 5 p.m.	Kirkland Dining Hall	Office Hours with Helis
  Wednesday, May 18th	3 to 4 p.m.	SC 231	Office Hours with Dr. Bruff
  Friday, May 20th	3 to 4 p.m.	SC 231	Office Hours with Dr. Bruff
  Monday, May 23rd	3 to 4 p.m.	SC 231	Office Hours with Dr. Bruff
  Monday, May 23rd	7 to 8:30 p.m.	SC B-10	Review Session with Dr. Bruff
  Tuesday, May 24th	7 to 8:30 p.m.	SC B-10	Review Session with Dr. Bruff
  Wednesday, May 25th	2 to 5 p.m.	SC 231	Office Hours with Dr. Bruff
  Thursday, May 26th	11 a.m. to 1 p.m.	Kirkland Dining Hall	Office Hours with Helis