MATH 202 – CALCULUS II
Tompkins Cortland Community College
Course Outline and Policies
Spring 2014
Instructor:
Office:
Phone:
Email:
Mr. Nick Pianella
Room 301
(607) 693-8105 (school
NPianella@hcs.stier.org
Textbook: Calculus, Eighth Edition, Larson, Hostetler, and Edwards (Heath), 2002, ISBN # 0-61850303-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.
Calculus II
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Course Content:
Topics
Text Sections
Differentiation
Natural logs
Inverse Functions
Exponentials
Inverse trig functions
Hyperbolics
Indeterminate forms, L'Hopital's Rule
Review and Assess – Exam #1
5.1
5.3
5.4
5.6
5.8
8.7
Integration
Integral review
Integration by substitution
Natural Logarithmic integrals
Exponential integrals
Integrals and inverse trig functions
Review and Assess – Exam #2
4.1
4.5
5.2
5.4
5.7
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
Calculus II
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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
Quizzes
Written Assignments/Homework
Professional Attitude/Preparedness
Final
45%
15%
10%
10%
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% = C
90 – 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.
Calculus II
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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
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