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.
WebAssign
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.