MA123, Chapter 4: Computing Some Derivatives (pp. 69-82, Gootman)
Chapter
Goals:
Assignments:
Understand the derivative as the slope of the tangent line at a point.
Investigate further the notions of continuity and differentiability.
Use the denition t
MA123, Chapter 2: Change, and the idea of the derivative (pp. 17-45, Gootman)
Chapter
Goals:
Assignments:
Understand average rates of change.
Understand the ideas leading to instantaneous rates of change.
Understand the connection between instantaneous ra
MA123, Chapter 1: Equations, functions, and graphs (pp. 1-15, Gootman)
Chapter
Solve an equation for one variable in terms of another.
What is a function?
Find inverse functions.
What is a graph?
Understand linear and quadratic functions.
Find the i
MA123, Chapter 3: The idea of limits (pp. 47-67, Gootman)
Chapter
Goals:
Assignments:
Evaluate limits.
Evaluate one-sided limits.
Understand the concepts of continuity and differentiability and their relationship.
Assignment 04
Assignment 05
Earlier, t
MA123, Chapter 5: Formulas for Derivatives (pp. 83-102, Gootman)
Chapter
Goals:
Assignments:
Know and be able to apply the formulas for derivatives.
Understand the chain rule and be able to apply it.
Know how to compute higher derivatives.
Assignment 0
Algebra review
Chapter 1:
Practice/review problems
The collection of problems listed below contains questions taken from previous MA123 exams.
Warm ups
[1]. A rectangular solid has edges of lengths 4 ft, 5 ft, and 8 ft. Suppose we double the length of two
Rates of change and derivatives
Chapter 2:
Practice/review problems
The collection of problems listed below contains questions taken from previous MA123 exams.
Average rates of change (Word Problems)
[1]. A train travels from A to B to C . The distance fr
Algebra review Chapter 1: Practice/review problems
The collection of problems listed below contains questions taken from previous MA123 exams.
Warm ups [1]. A rectangular solid has edges of lengths 4 ft, 5 ft, and 8 ft. Suppose we double the length of two
Computing some derivatives
Chapter 4:
Practice/review problems
The collection of problems listed below contains questions taken from previous MA123 exams.
Computing some derivatives
[1]. If f (x) = (x + 3)2 then
f (x + h) f (x)
=
h
(a) 2x + h
(b)
2x + 3 +