Midterm

Time: Saturday, 11 October 2014 at 12-3 p.m. (12:00-15:00 ¹.)

Location: RB 5401

Topics covered in the midterm

Chapter(s)

Topic(s)

2.1-2.2, 2.4-2.5

Review of limits and continuous functions

3.1-3.2, 3.4

- Derivative of functions of one variable
- Interpretations of derivatives in geometry, physics and engineering

3.3

- Differentiation formulas for elementary functions and chain rule

- Higher derivatives

3.5

Derivatives of Trigonometric functions

3.6

The Chain rule

3.7

Implicit differentiation

3.8

Derivatives of Inverse functions and Logarithms

3.9

Inverse Trigonometric functions

3.10

Related rates

3.11

Linearization and differentials

4.1

Local extreme values of functions

4.2

The Mean Value Theorem

4.5, 2.6

Indeterminate forms and L’Hôpital’s Rule

4.7

Newton’s method

10.8

Taylor series expansion of elementary functions and approximation

 

Exercises and solutions


Midterm practice 1 2   Solution 1 2

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