Math 221-04 - Calculus II
T R 8:00 - 9:40 p.m. in RI-224
Spring 2000
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Instructor: Dr. Mark S. Korlie
Office: RI-213
Office Telephone Number: 973-655-5300
Email Address:
Korliem@mail.montclair.edu .
Web Page Address:
http://www.csam.montclair.edu/~korlie
Office Hours: M 11 a.m.-12 noon, T 2-3 p.m., R 6-7 p.m.
(Additional hours by appointment)
Course Syllabus Description
Riemann integration and its applications, differentiation and integration of
transcendental functions, techniques of integration, improper integrals,
L'Hospital's rule, and infinite series.
Prerequisite
Math 221 (Calculus I)
Text
Larson, Hostetler, and Edwards, Calculus, Sixth edition,
Houghton Mifflin pub., 1998.
Technology and Software
TI-86 Graphics Calculator and Maple (a computer algebra system software).
Course Outline
Weeks 1 to 4 (Jan. 18, 20, 25, 27; Feb. 1, 3, 8, 10):
Chapter 5: Logarithmic, Exponential, and other Transcendental Functions
5.1 The Natural Logarithmic Function and Differentiation
5.2 The Natural Logarithmic Function and Integration
5.3 Inverse Functions
5.4 Exponential Functions: Differentiation and Integration
5.5 Bases Other than e and Applications
5.6 Differential Equations: Growth and Decay
5.7 Differential Equations: Separation of Variables
5.8 Inverse Trigonometric Functions and Differential
5.9 Inverse Trigonometric Functions and Integration
5.10 Hyperbolic Functions (no inverses)
Weeks 5 to 6 (Feb. 15, 17, 22, 24):
Chapter 6: Applications of Integrations
6.1 Area of Region Between Two Curves
6.2 Volume: The Disc Method
6.3 Volume: The Shell Method
6.4 Arc Length and Surfaces of Revolution
Weeks 7 to 9 (Feb. 29; March 2, 14, 16, 21, 23):
Chapter 7: Integration Techniques, L'Hospital's Rule, and Improper Integrals
7.1 Basic Integration Rules
7.2 Integration by Parts
7.3 Trigonometric Integrals
7.5 Partial Fractions
7.6 Integration by Tables and Other Integration Techniques
7.7 Indeterminate Forms and L'Hopital's Rule
7.8 Improper Integrals
Weeks 10 to 15 (March 28, 30; April 4, 6, 11, 13, 18, 20, 25, 27):
Chapter 8: Infinite Series
8.1 Sequences
8.2 Series and Convergence
8.3 The Integral Test and p-Series
8.4 Comparisons of Series
8.5 Alternating Series
8.6 The Ratio and Root Tests
8.7 Taylor Polynomials and Approximations
8.8 Power Series
8.9 Representation of Functions by Power Series
8.10 Taylor and Maclaurin Series (no inverses)
Attendance Policy and Makeups
You must come to class regularly in order to keep up with new materials.
If you miss a class, you are expected to find out what happened before
attending the next class. Reading assignments, practice exercises, and homework
assignments will be posted on the course web site at http://www.csam.montclair.edu/~korlie.
In all cases, you are responsible for all works, quizzes, and tests when due .
A grade of zero will be automatically assigned for missed homeworks, quizzes, tests, and exam
subject to the following two conditions: (1) Prior notification and approval by the instructor
to be absent from the test. (2) Without prior approval, the student must contact the
instructor within 24 hours with an excuse deemed valid by the instructor.
Evaluations
There will be homeworks, five quizzes, three tests, and a comprehensive
final exam.
Each quiz will be for 10 minutes and given at the end of class. Similarly,
Each test will be for one hour and given at the beginning of class.
Composition of Final Course Grade
- Homeworks and Quizzes ---------- 25%
- Tests ----------------------- 45%
- Final Exam ------------------- 30%
Important Dates to Remember
- January 27 Quiz 1
- February 8 Quiz 2
- February 15 Test 1
- February 29 Quiz 3
- March 6-12 Spring Recess
- March 16 Quiz 4, withdrawal deadline for a grade of WD
- March 22 University Day (no classes)
- March 23 Test 2
- April 6 Quiz 5
- April 20 Test 3
- April 21-23 Easter Holiday
- May 27 Last day of classes for this course.
- May 4 Reading Day (no classes)
- May 9 (Tuesday) Comprehensive Final Exam (7-9 p.m. in RI - 224)
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