Course Outline
MATHEMATICS 102
Calculus II
2012 Winter
Campus:
Terrace
Term:
2012 Winter (Jan - Apr)
Instructor:
Regan Sibbald
Lecture Times:
Credits:
Monday 10:00 - 11:30, Spruce 204
Wednesday 10:00 - 11:30, Spruce 204
Friday 9:00 - 10:30 ,Spruce 204
3
Office/Phone:
Room 265 (next to the library)
Office Hours:
Monday 11:30 - 12:00, 2:30 - 3:00
Wednesday11:30 - 12:00, 2:30 - 3:00
rsibbald@nwcc.bc.ca
Email:
Local 5253
Course Content:
This course is subsequent to Mathematics 101 and deals with integration techniques, applications of the definite
integral, and ends with the theory of infinite series.
Course Format: 4.5 hours of lecture per week in three 1.5 hour classes.
Course Prerequisites:
Mathematics 101 with a minimum grade of C or permission of instructor.
Transfer Credits:
Mathematics 101 transfers to all BC universities and university-colleges. Upon successful completion you will
be awarded transfer credit for:
SFU Math 152
UBC Math 101
UVic Math 101
UNBC Math 101
Please refer to the BCCAT Website: www.bccat.bc.ca for transfer credit to all other BC post-secondary
institutions
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Required Materials/Texts:
JAMES STEWART. Calculus: Early Transcendentals
ISBN-10: 0538497904
ISBN-13: 9780538497909
Supplementary Text:
Any first year calculus textbook will help as a supplemental source.
Evaluation Profile:
Assignments ........................................... 10%
Quizzes/Tests ......................................... 20%
Midterm Exam ....................................... 30%
Final Exam ............................................. 40%
TOTAL ................................................ 100%
Assignments
In order to be successful in this course you must keep up with the homework! You will have the answers so
you will know if you are doing it correctly. Give yourself lots of time to ask questions as you go through it.
Don't try to do it all just before the due date. Work on it consistently.
Quizzes/Tests
Quizzes will be based upon homework exercises and may be given at any time. There will be a test on the third
or fourth week and on the tenth or eleventh week. You must have a valid excuse for missing a test or quiz or
your score will be zero.
Final Examination
The Final Exam is scheduled during the final week of the course and will be a three-hour comprehensive exam.
Grading Profile:
A+
96 – 100
B+
81 – 85
C+
66 – 69
P
50 – 54
A
86 – 95
B
73 – 80
C
61 – 65
F
0 - 49
-
B
Operational Details:
College Policies:
Cheating/Plagiarism:
70 - 72
C
-
55 – 60
Northwest Community College has policies on Academic Appeals
(including appeal of final grades), Student Conduct, Cheating and
Plagiarism, Academic Probation and other educational issues. Copies
of these and other policies are available in the College Calendar and in
the Library.
Plagiarism is the presentation of another person's words, ideas,
interpretations, insights, or order of points as your own. All work
submitted must be your own words and content, and not written by a
tutor or friend. Whenever you use sources for an essay, or
assignment, you must avoid plagiarism by documenting them. The
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College calendar establishes procedures for plagiarised assignments.
Incomplete Grades:
If a student has a valid reason for not completing the course as
scheduled, he/she must make arrangements with the instructor to
complete before an agreed upon date. If the course is not completed
by such time, the I (incomplete) grade shall be changed to F (fail)
Classroom Etiquette
Show consideration for your classmates and follow a few simple rules
• No talking during lectures.
• No cell phones. If you have one, please ensure that it is turned
off or silenced.
• If you bring a laptop to class, use it for note-taking only. No
chat lines, no surfing.
• Arrive to class on-time or early, especially for exams.
• If you have to leave early let your instructor know in advance.
Sit at the back of class and leave as quietly as possible.
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Learning Outcomes:
Upon completion of this course, the student will be able to:
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evaluate integrals using the Fundamental Theorem of Calculus.
evaluate integrals using substitution.
evaluate integrals using integration by parts.
evaluate integrals involving products of powers of trigonometric functions.
evaluate integrals using trigonometric substitution.
evaluate integrals using partial fractions.
apply all techniques of integration to evaluate integrals.
evaluate integrals using tables.
approximate integrals using the Trapezoidal Rule and Simpson’s Rule.
use Maple to apply the Trapezoidal Rule and Simpson’s Rule.
determine the bound on error when applying the Trapezoidal Rule and Simpson’s Rule.
compute area between curves.
compute volume of rotation using both the disc method and the cylindrical shell method.
compute average value of a function.
compute length of an arc.
compute surface area of revolution.
solve differential equations.
use Maple to compute area and volume.
evaluate improper integrals.
solve exponential growth and decay problems.
compute area, arc length, and surface area using parametric equations.
determine convergence of positive series using the Integral Test, Basic Comparison Test,
and Limit Comparison Test.
recognize geometric series, harmonic series, p-series, and telescoping series.
apply the Alternating Series Test to determine conditional convergence.
determine absolute convergence using the Ratio and Root Tests.
determine convergence of power series.
use power series to approximate functions.
determine error of approximation when using power series.
expand Taylor and MacLaurin polynomials.
expand Binomial Series.
apply Taylor polynomials to approximate functions.
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