COURSE SYLLABUS Course Number: MATH1620 Course Title: CALCULUS II Credit Hours: 4 Prerequisites: MATH1610 Corequisite: Objectives: To develop students' mathematical and analytic skills. To further students' understanding of integral calculus and the applications of the integral. To develop students' conception of infinite sequences and series, to master techniques of analyzing convergence, and to apply this knowledge in the study of sequences and series of functions. Course Content: Techniques of Integration. [14 days] Integration by Parts, Trigonometric Integrals, Trigonometric Substitution, Partial Fractions, Improper Integrals. Applications of the Integral. [8 days] Areas of Regions Between Curves, Volumes, Volumes by Cylindrical Shells, Work, Arc Length. Vectors. [4 days] Vectors in the plane and space, lines and planes in space. Parametric Equations and Polar Coordinates. [5 days] Curves and Parametric Equations, Tangents and Areas in Polar Coordinates. Sequences and Series. [24 days] Definitions, Integral Test, Comparison Test, Alternating Series, Absolute Convergence, Ratio and Root test and Absolute Convergence, Strategy for Testing Convergence, Power Series, Functions as Power Series, Taylor Series and Maclaurin Series, Applications of Taylor Polynomial. Tests and review. [5 days] Possible textbook: Calculus, 3rd edition, Stewart, 1995, Brooks/Cole. Sample Grading and Evaluation Procedures: Students will be expected to be prepared for class by doing assigned homework exercises. Homework will occasionally be collected. This will be part of the participation grade. Quizzes may be unannounced. Grade Calculation Participation grade (includes: blackboard presentation and classwork, attendance, homework, quizzes): 15% Hour Tests (four tests): 50% Final Exam: 35% Tentative Test Schedule Hour tests are given approximately every three weeks and will be announced a week ahead of time. Quizzes may or may not be announced; at least four quizzes will be given in the course of the semester. Friday is typically a good day for quizzes. Sample Statement Re: Accommodations Students who need accommodations are asked to arrange a meeting during office hours the first week of classes, or as soon as possible if accommodations are needed immediately. If you have a conflict with my office hours, an alternate time can, be arranged. To set up this meeting, please contact me by E-mail. Bring a Copy of your Accommodation Memo and an Instructor Verification Form to the meeting. If you do not have an Accommodation Memo but need accommodations, make an appointment with The Program for Students with Disabilities, 1244 Haley Center, 844-2096 (V/TT). (Note: Instructor office room, office hours and email address will be made available on the course syllabus and on the first day of class.)