MATH 2414 Calculus II 4:3:2 South Plains College Arts & Sciences Mathematics Jay Driver Spring 2012South Plains College Mathematics Department Calculus II – MATH 2414 Course Syllabus Spring 2012 Instructor: Jay Driver Office: M120 (mathematics building) Telephone: (806) 716-2780 Email: [email protected] Office Hours: MW 1:30-3:00 TR 11:00-12:00, 1:30-2:30 F 9:00-12:00 And by appointment! Course Description: MATH 2414. CALCULUS II. (4:3:2) Prerequisites: MATH 1316 (Trigonometry) and MATH 2413 (Calculus I). Topics covered include differentiation of transcendental functions, methods of integration, parametric equations, volumes, areas, arc lengths, surface areas, indeterminate forms, infinite series, and hyperbolic functions. (copied from the current SPC catalog) Course Objectives: Successful completion of this course should reflect mastery of the following objectives. Chapter and section numbers are indicated in parentheses. Determine derivatives and antiderivatives of transcendental functions (5.1-5.8, 6.2); Evaluate integrals using methods of integration (integration by parts, trigonometric substitution, partial fraction decomposition, and integration tables) (8.1-8.6); Apply methods of integration to solve problems involving area, volumes of revolution, length of curves, surface area, center of mass, work, and fluid pressure (7.1-7.7); Evaluate improper integrals (8.8); Determine convergence or divergence of sequences and series (9.1-9.6); Analyze power series for their interval of convergence (9.8); Find Taylor series representations of functions and their interval of convergence (9.9-9.10). Attendance: Attendance and effort are the most important activities for success in this course. Class attendance may be taken at any time during the class period, so please do not be late or leave early. You may be dropped from this course with a grade of X or F if you are absent four consecutive classes or if you exceed six absences throughout the semester. Be on time and turn off any cell phones or pagers before entering the classroom. Textbook: Larson, R., Edwards, B.H. (2010). Calculus, Ninth Edition. Belmont, CA: Brooks/Cole Cengage Learning. ISBN 978-0-547-16702-2. Assignments & Grading: Homework assignments will be made at each class meeting. Frequently, quizzes will be administered. Keep all class materials (notes, handouts, homework, quizzes, and exams) organized in a notebook (3-ring binder). These materials are subject to be turned in for grading at any time. Please make certain all materials accompany you to each class meeting. No late assignments will be accepted. Daily work (homework, quizzes, notebook) will count for 20% of the final grade, while all exams count for 80% of the final grade. Expect three major exams (20% each) throughout the course and a cumulative final exam (20%) at the end of the course. Your final average in the course will determine the letter grade posted on your transcript. This grade is determined by the following scale: A (90-100%), B (80-89%), C (70-79%), D (60-69%), F (0-59%). Supplies: You will need a scientific or graphing calculator, graph paper, and a 3-ring binder. Calculators on cell phones, TI-89 or TI-92 calculators, or any other electronic devices will not be allowed during testing without permission from the instructor.Supplementary Course Information & Tutoring: Blackboard is the online course management system that will be utilized for this course. This course syllabus, as well as any class handouts can be accessed through Blackboard. Login at http://southplainscollege.blackboard.com. The user name and password should be the same as the MySPC and SPC email. User name: first initial, last name, and last 4 digits of the Student ID Password: Original CampusConnect Pin No. (found on SPC acceptance letter) Free tutoring and video tapes are available in room M116. Digital versions of these tutorial videos can be viewed on your personal computer at the Blackboard address given above. Check Blackboard often for the latest tutoring schedule and course supplements (handouts, online practice quizzes, additional notes, sample problems for practice, etc.). Disability: Students with disabilities, including but not limited to physical, psychiatric, or learning disabilities, who wish to request accommodations in this class should notify the Special Services Office early in the semester so that the appropriate arrangements may be made. In accordance with federal law, a student requesting accommodations must provide acceptable documentation of his/her disability to the Special Services Coordinator. For more information, call or visit the Special Services Office in the Student Services building, 894-9611 ext. 2529. Equal Opportunity: South Plains College strives to accommodate the individual needs of all students in order to enhance their opportunities for success in the context of a comprehensive community college setting. It is the policy of South Plains College to offer all educational and employment opportunities without regard to race, color, national origin, religion, gender, disability or age. Diversity: In this class, the teacher will establish and support an environment that values and nurtures individual and group differences and encourages engagement and interaction. Understanding and respecting multiple experiences and perspectives will serve to challenge and stimulate all of us to learn about others, about the larger world and about ourselves. By promoting diversity and intellectual exchange, we will not only mirror society as it is, but also model society as it should and can be.Calculus II Tentative Course Outline MATH 2414.001 (MW 8:30 – 10:35) Spring 2012 Week Day Date Lesson 1 Wednesday January 18 Inverse Functions 2 Monday January 23 Natural Logarithms (Derivatives & Integration) Wednesday January 25 Natural Logarithms (Logarithmic Differentiation & Applications) 3 Monday January 30 The Exponential Function Wednesday February 1 4 Monday February 6 Growth & Decay Wednesday February 8 L’Hopital’s Rule & Inverse Trigonometric Functions 5 Monday February 13 Derivatives & Integrals Involving Inverse Trigonometric Functions Wednesday February 15 Applications Involving Inverse Trigonometric Functions 6 Monday February 20 Hyperbolic Functions Wednesday February 22 Review 7 Monday February 27 Exam 1 (20%) Wednesday