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 o
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 cha
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?
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 the
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
Formulas for derivatives
Chapter 5:
Practice/review problems
The collection of problems listed below contains questions taken from previous MA123 exams.
Derivatives
[1]. If f (x) = 6x2 + 3x 1, nd f (x
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
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)
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
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
Limits and continuity
Chapter 3:
Practice/review problems
The collection of problems listed below contains questions taken from previous MA123 exams.
Limits and one-sided limits
[1]. Suppose H(t) = t2