MAT 193 Calculus
II, # 41021, Fall 2002
Class meets MWF
Instructor: Prof.
e-mail address: sraianu@csudh.edu, office
hours: Tuesday
Course Description: MAT 193, Calculus II, covers
Chapters 6-12 from the textbook: differentiation and integration of
transcendental functions. Further techniques and applications
of integration, infinite sequences and series, power series, Taylor and
Maclaurin series.
Text: James Stewart, Calculus, 4th edition, Brooks/Cole, 1999.
Objectives: After completing MAT 193 the student
should be able to: Compute the derivatives of exponential and logarithmic
functions, inverse trigonometric functions;Use more advanced techniques of
integration such as integration by parts or integration by trigonometric
substitution to evaluate common integrals without the use of tables; Apply
theory of integration in finding volumes of solids, arc length and surface area,
work, moments, centers of gravity and average values of functions; Attain good
working skills, with the aid of graphing calculators, in obtaining approximate
values of definite integrals;Test for convergence or divergence of sequence and
series, find interval of convergence for power series and represent functions as
Taylor and Maclaurin Series.
Prerequisites: MAT 191 or equivalent with a grade of "C"
or better.
Grades: Grades will be based on three in‑class
full‑period examinations (60% total), a comprehensive final examination (25%),
and quizzes, homework, and other assignments (15%) for the remainder. The exact
grading system for your section is the following: each of the three full-period
exams will be graded
on a 100 scale, then the sum of the scores is divided by 5 and
denoted by E. Homework will be collected every class meeting, and each homework
is worth 5 points. No late homework will be accepted. The average of all
homework scores is denoted by H.
5 to 10 minutes quizzes will be given in
principle every class meeting, with the exception of the review and exam days,
and will be graded on a scale from 1 to 5. The average of the quizzes scores is
denoted by Q. There are also 5 points awarded for attendance and class
participation, this portion of the grade is denoted by A. The final exam will be
graded out of a maximum possible 200, then the score is
divided by 8 and denoted by F.
To determine your final grade compute
E+H+Q+A+F. The maximum is 100, and the grade will be given by the
rule:
A:
93‑100; A‑:
90‑92; B+:
87‑89; B:
83‑86; B‑:
80‑82
C+:
77‑79; C:
73‑76;
C‑: 70‑72;
D: 60‑69; F: Less than
60.
Makeups: No makeup examinations or quizzes will
be given. If you must miss an examination for a legitimate reason, discuss this,
in advance, with your instructor, who may then substitute the relevant score
from your final examination for the missing grade.
Students with
Disabilities: Students
who need special consideration because of any sort of disability are urged to
see their instructor as soon as possible.
Academic Integrity: The mathematics department does not
tolerate cheating. Students who have questions or concerns about academic
integrity should ask their professors or the counselors in the Student
Development Office, or refer to the University Catalog for more information.
(Look in the index under "academic integrity".)
Technology: Symbolic calculators, such as TI-89 or
TI-92 are not acceptable for this course.
Tentative schedule:
M 8/26: 6.2 Volumes: 4-11,13,19,25,28,31,33,61
W 8/28: 6.3 Volumes by Cylindrical Shells: (odd
numbers only) 3-5,9-13,15-19,21-25,35-39
F 8/30: 6.4 Work: 5,7,9,11,13,15,16,17
M 9/2: Labor Day
W 9/4: 6.5 Average Value of a Function: (odd
only) 1-7,15
F 9/6: 7.1 Inverse Functions: (odd only)
3,7-21,25-29,35,39-43
M 9/9: 7.2 Exponential Functions and Their
Derivatives: (odd only) 7-11,15,17,21-45,51,71-77,83
W 9/11: 7.3 Logarithmic Functions: (odd only,
unless explicitly mentioned otherwise) 3-19,23-37,41-45,51-69,74
F 9/13: 7.4 Derivatives of Logarithmic
Functions: (odd) 3-35,39-49,51,65-77,85
M 9/16 : 7.5 Inverse Trigonometric Functions:
(odd) 1-9,23-33,59-69
W 9/18:
7.7 Indeterminate Forms and L'Hospital's Rule: (odd) 1-31
F 9/20: 7.7 Indeterminate Forms and
L'Hospital's Rule: (odd) 33-65
M 9/23: Review
W 9/25: Exam I
F 9/27: analyzing exam I.
M 9/30: 8.1 Integration by parts: (odd) 1-11,15-31
W 10/2: 8.2 Trigonometric Integrals: (odd)
1-45
F 10/4: 8.3 Trigonometric Substitution: (odd)
1-27
M 10/7: 8.4 Integration of Rational Functions
by Partial Fractions: (odd) 5-41
W 10/9: 8.5 Strategy for Integration: (odd)
5-13,19,23,31,33,37,41
F 10/11: 8.5 Strategy for Integration: (odd)
43,47,51,63,71,73, and 8.8 Improper integrals: (odd)
1-7
M 10/14: 8.8 Improper Integrals: (odd) 9-37
W 10/16: 9.1 Arc Length: (odd) 7-13,17-21
F 10/18: 9.2 Area of a Surface of Revolution:
(odd) 1-9
M 10/21: 9.2 Area of a surface of Revolution:
(odd) 15-19
W 10/23: Review
F 10/25:
Exam II
M 10/28:
analyzing exam II.
W 10/30: 12.1 Sequences: (odd) 3-37
F 11/1: 12.2 Series: (odd) 9-39
M 11/4: 12.3 The Integral Test and Estimates of
Sums: (odd) 3-21
W 11/6: 12.4 The Comparison Tests: (odd)
3-31
F 11/8: 12.5 Alternating Series: (odd)
5-19
M 11/11: 12.6 Absolute Convergence and the Ratio
and Root Test: (odd) 3-33
W 11/13: 12.7 Strategy for Testing Series: (odd)
1-37
F 11/15: 12.8 Power Series: (odd) 3-23
M 11/18: 12.9 Representations of Functions as
Power Series: (odd) 3-19
W 11/20: 12.10 Taylor and Maclaurin Series:
(odd) 3,5,9-15
F 11/22: 12.11 The binomial Series: (odd)
1-7,11
M 11/25: Review
W 11/27: Review
F 11/29:
Thanksgiving break.
M 12/2: Exam III
W 12/4: analyzing exam III
F 12/6:
Review
Final exam: Monday, December 9,