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 Rule and Quotient Rule
Product Rule
Quotient Rule
2.3 Der
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 Limits at Infinity
Asymptotes
1.4 Rates of Change
Averag
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 Equations
Proportional Growth
Newtons Law of Cooling
3.
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
4.2 Concavity
The Second Derivative
Concavity of a Graph
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
Differentials
Linear Approximation
5.4 Newtons Method
Newtons Metho
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 102B(3 Credits)
Class Contact:
Mondays
Wednesdays
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