Skip to main content

Calculus II MAT 1505 Syllabus

Textbook: Stewart: Calculus: Early Trancendentals, 8th Edition, Brooks/Cole(Cengage)

Course Coordinator: Dr.Kathleen Acker

Chapter 5: Integrals

5.3 Fundamental Theorem of Calculus, Review
5.4 Indefinite Integrals
5.5 The Substitution Rule

Chapter 6: Applications of Integration

6.1 Areas Between Curves
6.2 Volumes                                                      
6.4 Work (Optional)                              
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 (if time allows)

9.1 Modeling with Differential Equation (Optional)
9.2 Direction Fields & Euler's Method (Optional)
9.3 Separable Equations (Optional)          
9.4 Models for Population Growth (Optional)

This material is covered over a 14 week (56 class hours) semester.


Faculty have the option of utilizing WebAssign, a web-based supplement to our textbook. This portal provides graded and practice homework problems, online quizzes, video instruction and an eBook. WebAssign registration requires an access code, which is included with the text purchased from the Villanova Bookstore.

Note: If you choose to rent/purcase a book that comes without a WebAssign  code, you will be required to purchase the registration code separately if your instructor uses WebAssign.

Upon the start of each semester, students will received a second code, called a class enrollment code, from their instructor. This code enrolls them into the specific course set up by their instructor for that semester.

Computer Algebra System (CAS)

Instructors will be using Maple or a comparable Computer Algebra System in the course.  Students will work with the software interface to integrate numerically and symbolically, to solve differential equations, to explore the convergence or divergence of a series, as well as understand Taylor series.

Contact Information

Department of Mathematics & Statistics
SAC Room 305
Villanova University
800 Lancaster Avenue
Villanova, PA 19085 
Tel: 610.519.4850
Fax: 610.519.6928

Dr. Jesse Frey

Christine Gadonas 610.519.4809
Maria W. Barrett  610.519.4850