On-Campus Course Outline
Use this outline to coordinate your on-line
study of CalculusQuest with your text
James Stewart, Single Variable Essential Calculus.
In CalculusQuest we cover essentially the same
material but packaged somewhat differently.
In MTH 251 on the web we do follow the on-campus outline closely. The
right most column indicates corresponding coverage in CalculusQuest.
| Lesson |
Section(s) in Text |
Topic
|
Stages In CalculusQuest |
| 1 |
1.1-1.2 |
Review & Getting Started |
1 |
| 2 |
1.3 |
Limit of a Function |
2, 3 |
| 3 |
1.4
|
Calculating Limits |
3 |
| 4 |
1.5
|
Continuity |
4 |
| 5 |
1.6 |
Limits at Infinity |
3, 4
|
| 6 |
2.1
|
Slopes, velocity
|
2, 5 |
| 7 |
2.2
|
Derivatives, Derivative as a
Function |
5 |
| 8 |
2.3
|
Computing Derivatives,
Derivatives of Trigonometric Functions
|
6
|
| 9 |
Review |
|
|
| 10 |
2.4 |
Rules for Finding Derivatives |
6 |
| 11 |
2.1
|
Rates of Change in Science |
2, 5 |
| 12 |
2.4 |
Derivatives of Trigonometric Functions |
6 |
| 13 |
2.5 |
Chain Rule |
6 |
| 14 |
2.5 |
Chain Rule |
6 |
| 15 |
2.3, 2.6, 3.5
|
Higher Derivatives, Implicit Derivatives,
Inverse Trig Functions
|
5, 6, 7 |
| 16 |
3.2, 3.3
|
Logarithmic Functions
and their Derivatives |
1, 6 |
| 17 |
3.1, 3.3
|
Exponential Functions
and their Derivatives |
1, 6 |
| 18 |
2.7 |
Related Rates |
9 |
| 19 |
Review |
|
|
| 20 |
2.8 |
Linear Approximation and
Differentials |
9 |
| 21 |
4.6
|
Newton's Method |
|
| 22 |
4.1 |
Maximum and Mininum Values |
7 |
| 23 |
4.2 |
Mean Value Theorem |
7 |
| 24 |
4.3 |
Derivatives and the Shape of a
Graph |
7 |
| 25 |
4.4 |
Curve Sketching |
7 |
| 26 |
4.4 |
Curve Sketching |
7 |
| 27 |
4.5
|
Optimization |
8 |
|
