MATH 202 – CALCULUS II
Tompkins Cortland Community College
Course Outline and Policies
Spring 2014
Instructor: Mr. Nick Pianella
Office: Room 301
Phone: (607) 693-8105 (school
Email:
Textbook: Calculus, Eighth Edition, Larson, Hostetler, and Edwards (Heath), 2002, ISBN # 0-618- 50303-X, and a TI-83 graphing calculator.
Optional: The student study guide to the above text is highly recommended; it contains solutions of many assigned problems.
Prerequisites: Completion of Math 201 (Calculus I) or equivalent.
Class Structure: Material is presented in lecture, examples, and discussion format; homework is assigned and gone over in detail in subsequent classes. Feel free to ask questions in class at any time.
Assistance: Any time you are having difficulty understanding material, see the instructor. It is also useful to work together with other students. Organize a study group.
I will be available during morning collaborative time on Tuesday through Thursday from 7:55 until 8:18, during the school day and after school by appointment. You will need to arrange transportation home if you stay after school.
Course Objectives: The student completing this course should be able to answer questions concerning the theory and concepts of the topics covered. More specifically, students will learn to:
1. Differentiate natural logarithm and exponential functions, inverse trig functions, and hyperbolic sine and cosine functions.
2. Integrate log form and inverse tangent form and distinguish the two.
3. Integrate functions involving exponentials.
4. Integrate functions involving trig.
5. Integrate by parts to some depth.
6. Integrate using trig substitution in at least the tangent case.
7. Integrate using at least the non-repeated linear case of partial fractions.
8. Evaluate improper integrals over infinite domain.
9. Understand the gamma function as an extension of the factorial and as an application of integration by parts and improper integrals.
10. Graph parametric equations using a calculator.
11. Find derivatives of graphs defined parametrically.
12. Find area enclosed by graphs defined parametrically.
13. Find arclength of curves defined both parametrically and by y as a function of x.
14. Find curvature of graphs defined both parametrically and by y as a function of x.
15. Graph polar expressions using a calculator.
16. Name the standard polar graphs.
17. Find the derivatives of polar graphs.
18. Find areas enclosed by polar graphs.
19. Find the arclength of polar graphs.
20. Find curvature of polar graphs.
Course Content:
Topics Text Sections
Differentiation
Natural logs 5.1
Inverse Functions 5.3
Exponentials 5.4
Inverse trig functions 5.6
Hyperbolics 5.8
Indeterminate forms, L'Hopital's Rule 8.7
Review and Assess – Exam #1
Integration
Integral review 4.1
Integration by substitution 4.5
Natural Logarithmic integrals 5.2
Exponential integrals 5.4
Integrals and inverse trig functions 5.7
Review and Assess – Exam #2
Integration Techniques and Improper Integrals
Integration by parts 8.2
Trigonometric Integrals 8.3
Trigonometric substitution 8.4
Partial fractions 8.5
Improper integrals 8.8
Review and Assess – Exam #3
Parametric Equations and Polar Coordinates
Parametric Equations 10.2
Parametric equations and calculus 10.3
Arclength 10.3, 7.4
Polar Coordinates and Polar Graphs 10.4
Area and Arc Length in Polar Coordinates 10.5
Review and Assess – Exam #4
Review for Final Exam
Final Exam
Calculator: A graphing calculator is required. TI-83 graphing calculator is recommended. If you are buying a calculator for this course, then a TI-84 Silver Edition is suggested. Instruction in class will be done using both. There are a limited number of calculators that can be signed out.
Evaluation: Final grades will be determines by a point system. Tests, Quiz/Written Assignments, Homework/Preparedness and a final exam cover 100% of your grade.
Exams 45%
Quizzes 15%
Written Assignments/Homework 10%
Professional Attitude/Preparedness 10%
Final 20%
Final Grade:
The final grade will be determined from the following percentages of total possible points that each student accumulates:
93 – 100% = A / 73 – 76.9% = C90 – 92.9% = A- / 70 – 72.9% = C-
87 – 89.9% = B+ / 67 – 69.9% = D+
83 – 86.9% = B / 63 – 66.9% = D
80 – 82.9% = B- / 60 – 62.9% = D-
77 – 79.9% = C+ / Below 60% = F
Exams: Exams given during the semester will be worth 40% of your grade. These exams will assess your knowledge of the content from the unit as well as assess content from previous taught units.
Quizzes: During the semester, you may expect to have a quiz every few days on the content taught. You will be made aware when a quiz is planned.
Written Assignments/Homework: You will be given problems from the book covering each section. Make sure all written assignments have your name, date, and assignment listed at the top of the page. No spiral edges on paper – please and thank you. These assignments must be handwritten, with all answers documented and all work shown. You must explain your answers or solutions in order to receive full credit. You may cooperate with others but you must submit a separate homework and explain your answers or solutions in order to receive full credit. A correct answer is worth 20% of the grade and the work/documentation counts for 80%. You may also seek assistance from me as needed. Each assignment is worth 100 points. Late assignments are penalized 10 points for each day late (weekends included).
Professional Attitude/Preparedness: Professional Attitude takes into account your attendance, class participation, and attitude towards fellow students and instructor. You must be prepared for each class as well. Homework assignments are an integral part of the learning process for this course and assists in ensuring you are prepared. In addition, reading the text book is an important part of your learning process. Each section covered will require you to pre-read the section and take notes.
Final Exam: Your final exam is cumulative and will be given the last week of class.
Statement of Academic Integrity:
Harpursville Jr./Sr. High School Academic Honesty Parental/Student Agreement
Academic honesty and integrity lie at the heart of any educational enterprise. Students are expected to do their own work and neither to give nor to receive assistance during quizzes, examination, or other class exercises. One form of academic dishonesty is plagiarism. Plagiarism is intellectual larceny: the theft of ides or their manner of expression. When in doubt about rules concerning plagiarism, students are urged to consult individual faculty members. Because faculty and students take academic honesty seriously, penalties for violations may be severe, depending upon the offense. Staff members will gladly explain procedures for taking tests, writing papers, and completing other course requiment5s so that students may understand fully their instructor’s expectations.
A complete copy of the Harpursville Jr./Sr. High School Academic Honesty Policy is available upon request.
Attendance Policy: Students are expected to attend classes. Attendance will be taken. Note that exam questions are modeled on lecture and homework problems, so attending class is an important ingredient in course success. After the equivalent of one week of absences (4 class hours), a student's final number grade may be lowered by one point per absence.
Student Responsibilities: Students have a responsibility to attend class, do their homework on time, participate in classroom discussions and ask questions when they don’t understand, seek extra assistance when they need it, read the textbook as it is well written and an easily understandable textbook that will help you immensely.
Students are expected to assist in maintaining a classroom environment that is conducive to learning. Students are asked not to engage in any form of distraction to assure all students have the opportunity to gain from the time spent in class. Inappropriate behavior will not be tolerated. Appropriate action(s) will be taken immediately.
Success in Calculus requires consistent attendance, class participation, completion of assigned work on time, and seeking assistance when needed. We are on a tight schedule and there is a lot of content to be covered and work to be done. I am very willing to assist in any way I can.
This course outline is subject to change as the instructor deems necessary. Any changes will be communicated during class time.
Good luck and best wishes for a successful semester.
Mr. Pianella
Calculus II Page 1