Study Guide for Chapter 3: Derivatives.

Chapter 3:

• The rules for differentiation such as Power rule, sum and difference rule, product rule and quotient rules are important, but since you have already learned it in high school, I will not be emphasizing them.
• Basically, you can skip section 3.3 as you have learned it in high school physics.
• The derivatives of trigonometric functions are important, you should memorize the results, and be able to quickly derive it once you forget it.
• The chain rule for composition of more than two functions (ie. f(g(h(x)))' = ?) are of fundamental importance. I strongly recommend you practice the latter half of the excercise for 3.5 (49-70) till you can handle it with easily.
• More later.

Lecture notes and Homework Assignments

• Lectures 4, 5 and 6 (week 3-4, omitted, see section 3.1-3.2 and 3.4-3.5)

• Lecture 7 (week 4, 10/3 (1 hr) )

• Lecture 8 (week 5, 10/8 (2 hr) )

• Implicit Differentiation

• Linearization and Differentials.

• Newton's Method.

• Homework solution 2.3-3.5.
• Homework solution 3.6-3.7.