**Textbook:** Stewart: *Calculus: Early Trancendentals,* 8th Edition, Brooks/Cole(Cengage), 2015 [click link for format options]

Coordinators: Marilyn Belkin and Joyce Longman

**Chapter 5: Integrals**

5.4 Indefinite Integrals

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 Representations of Functions as Power Series*

11.10 Taylor and Maclaurin Series*

11.11 Application of Taylor Polynomials

** *emphasize these sections**

**Chapter 10: Parametric Equations and Polar Coordinates**

10.1 Curves Defined by Parametric Equations

10.2 Calculus with Parametric Equations

10.3 Polar Coordinates

10.4 Areas and Lengths in Polar Coordinates

**Chapter 9: Differential Equations**

9.1 Modeling with Differential Equation

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.

**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.