Math 534 Midterm 3 Study Aid
 

Chapter 5 (Section 5.4): Continuous functions
TOPICS:
· Uniform continuity
· Lipschitz functions and continuity
DEFINITIONS:
· Uniform continuity
· Lipschitz functions
RESULTS:
· Uniform continuity theorem

Chapter 6 (Sections 1-3): Differentiation
TOPICS:
· The first derivative of a function
· Inverse functions and their derivatives
· First derivative test for local extrema
· Mean Value Theorem and its applications
· L'Hospital's rule(s)
DEFINITIONS:
· The derivative
· Local (relative) extrema
RESULTS:
· Rules for derivatives
· Chain Rule
· Rolle's and Mean Value Theorem
· L'Hospital's rule