Calculus II – Fall 2011
Instructor:
Textbook:
Dr. Ioan Sapariuc
ioan.sapariuc@ossm.edu
Calculus (9th edition), by D. Varberg, E. Purcell and S. Rigdon
Office: MAC - F
Class Description:
One semester (1/2 unit of credit). This is the second course in the calculus sequence. It covers transcendental
functions, techniques of integration and improper integrals, limits of functions and sequences, infinite series, and, as
time permits: conics, parametric representation of curves and polar coordinates.
Specifically, we will cover Chapters 6 to 10 in the textbook according to the following tentative schedule:
Week
Sections
Comments
1
Review of Chapters 1, 2 and 4, 6.3
Review of Limits, Derivatives and Integrals.
Table of derivatives and table of integrals.
The natural and general exponential function.
2
6.2, 6.1
Inverses and their derivatives. The natural log function.
3
6.4, 6.5, 6.6
4
6.8, 6.9
5
6.10, 7.1, 7.2
Review of Integration. Integration by parts
6
7.3, 7.4
Trigonometric integrals. Trigonometric substitution
7
7.5, 7.6
8
8.1, 8.2
9
8.3, 8.4
10
8.5, 9.1
Chapter Review. Sequences
11
9.2, 9.3
Introduction to Series. The integral test
12
9.4, 9.5
The comparison tests and the root test. Review of Tests for series.
13
9.5, 9.6
Alternating series. Power series
14
9.7, 9.8
Operations on power series. Taylor series.
15
9.9, 9.10
The Taylor approximation theorem. Review of Series
16
10.1, 10.2, 10.3
Parabola. Ellipse. Hyperbola. Change of coordinates
17
10.4, 10.5, 10.6, 10.7
Parametric representation of curves
Calculus in polar coordinates
The general exponential and log functions.
Exponential growth and decay. First order differential equations.
Inverse trigonometric functions.
Hyperbolic functions and their inverses.
Integration of rational functions. Review of integration
Chapter Test #1 (Chapter 7)
 0    
L’Hospital’s Rule for   , 
, and other cases
 0    
Improper Integrals of Types 1 and 2
Saturday Test #2 (comprehensive)
Homework and Pop Quizzes:

There will be a homework assigned every lecture and due the first lecture of the following week. It will be
collected in a random fashion. You should prepare your homework carefully and in detail, since this is the
basis of your overall preparation. Your homework answers should be clear, complete and concise.
 There will be pop quizzes in class following coverage of significant portion of the material. Since most of
these quizzes will NOT be announced, you should always be prepared and proficient with the material and the
types of problems that we cover.
Tests:
 3 Saturday Tests (see schedule)
 1 Chapter Tests (see schedule)
 Final exam (during the week of May 23 – May 27)
General guidance:
 Start working on the assigned problems ahead of time. See me as often as you can to ask questions about the
material covered or about the assignments.
 During class I will ask you to go to board and do a problem, which gives you credit for class participation.
Be actively involved in lectures.
 Write your answers (in homework, tests, quizzes, etc.) legibly and clearly, and include satisfactory
explanations for full credit. If I cannot read, follow and/or understand it, I cannot grade it. Points will
be deducted from your grade if your solution is not clear and legible.
 One of the main goals of this class is to develop proficiency in solving Calculus problems. However, this goal
cannot be achieved without a good and clear understanding of the corresponding topic. For this reason, I
strongly suggest that before you start solving an assigned set of problems, you first review carefully the
corresponding topic (by taking extra notes and solving exercises and examples from the textbook, as
necessary), so that you understand that topic well.
Academic Honesty:
The submitted work in a homework, test or quiz must be your own work. Cheating in an exam will result in severe
penalties and in NO credit for that exam. Please read also the section about Academic Honesty in the Student
Handbook.
Grade Distribution:
Class participation 10 %
Homework and Pop Quizzes 30 %
Chapter Test 10 %
Saturday tests 30 %
Final Exam 20 %