Chapter 2
Rules for Differentiation
Keira Gunn
Math 151 Alexander College
2.1 Derivatives of Polynomials and Exponentials
Notation
Constant Rule
Power Rule
Sum of Functions
Exponentials
2.2 Product Ru
Section 1
Limits, Continuity, and Rates of Change
Keira Gunn
Math 151 Alexander College
1.1 Limits
Limits
Limit laws
Squeeze Theorem
1.2 Continuity
Piecewise Functions
Intermediate Value Theorem
1.3 L
Chapter 3
Applications of Derivatives
Keira Gunn
Math 151 Alexander College
3.1 Related Rates
Related Rates
Strategies for Solving Related Rates Problems
3.2 Exponential Growth and Decay
Differential
Section 4
Graphs and the Derivative
Keira Gunn
Math 151 Alexander College
4.1 Local Extrema
Intervals of Increase and Decrease
Critical Numbers
Local Extrema
First Derivative Test for Local Extrema
4.
Section 5
More Applications
Keira Gunn
Math 151 Alexander College
5.1 Absolute Extrema
Closed and Bounded Intervals
Single Critical Point Theorem
5.2 Optimization
5.3 Linear Approximation
Differential
Alexander College
Math 102 B/C: Differential Calculus with Applications to
Commerce and Social Sciences
COURSE OUTLINE: 2015 Fall Semester (TU Sept 8-Mon Dec
14, 2015; Exam: Tu Dec 15-Sat Dec 19)
Math