Textbook: Stewart: Calculus: Early Trancendentals, 7th Edition, Brooks/Cole, 2012
Coordinators: Marilyn Belkin and Joyce Longman
Chapter 5: Integrals
5.1 Areas and Distance
5.2 The Definite Integral
5.3 The Fundamental Theorem of Calculus
5.4 Indefinite Integrals & Net Change Theorem
5.5 The Substitution Rule
Chapter 6: Applications of Integration
6.1 Areas Between Curves
6.2 Volumes (by cross sections)
6.4 Work
6.5 Average Value of a Function
Chapter 7: Techniques of Integration
7.1 Integration by Parts
7.2 Trigonometric Integrals (Optional)
7.3 Trigonometric Substitution (Optional)
7.4 Int. of Rational Fns by Partial Frac. (Optional)
7.7 Approximate Integration
7.8 Improper Integrals
Chapter 8: Further Applications of Integration
8.1 Arc Length
8.4 Applications to Economics and Biology
8.5 Probability
Chapter 11: Infinite Sequences and Series
11.1 Sequences
11.2 Series (emphasize geometric series)
11.3 The Integral Test & Estimates of Sums
11.4 The Comparison Test
11.5 Alternating Series
11.6 Absolute Convergence, Ratio & Root Tests
11.8 Power Series*
11.9 Representation of Functions as Power Series*
11.10 Taylor and Maclaurin Series*
11.11 Application of Taylor Polynomials
* emphasize these sections
Chapter 9: Differential Equations
9.1 Modeling with Differential Equations
9.2 Direction Fields & Euler's Method
9.3 Separable Equations
9.4 Models for Population Growth
A suggested schedule based on a 14 week (56 class hours) semester, is given below. It may be modified at the instructor's discretion.
| Sections | Approximate Time | Comments |
| 5.1-5.5 |
6 class hours | 5.4 ref. 4.10 |
| 6.1, 6.2, 6.4, 6.5 | 7 class hours | 6.4 pumping problems optional |
| 7.1-7.4, 7.7, 7.8 | 7 class hours | 1 or 2 brief examples each from 7.2-7.4 |
| 8.1, 8.4, 8.5 | 3 class hours | |
| 11.1-11.6, 11.8-11.11 | 20 class hours | Emphasize ratio test in 11.6 |
| 9.1-9.4 | 6 class hours | |
| Exam Reviews | 4 class hours | Includes Final Exam Review |
| Exams | 3 class hours |
Maple or Other Computer Software
Maple or other computer software discussions should be determined by each instructor. Each student shoud master the following topics using the computer: (1) integration, (2) approximate integration, (3) solving differential equations, (4) exploring the convergence or divergence of a series, and (5) Taylor series
