MATH 101
-
Calculus II,
Spring 2009
Section A1, MTWRF 08:30 - 09:40 in CEB 231
Instructor:
Omar Daniel Rivasplata
Office: CAB 509, Phone: 780-492-8752, E-mail: orivasplata@math.ualberta.ca
Please include “MATH 101” in the subject line of any email message you send to me.
Office Hours: MWF 10:00 - 11:00, or by appointment.
Course Webpage: http://www.math.ualberta.ca/∼orivasplata/math101.htm
Textbook: J. Stewart, Calculus: Early Transcendentals, 6th Edition. Brooks/Cole, 2008.
Syllabus: We will cover the following sections from the textbook: 5.3, 5.5, 6.1-6.3, 7.1-7.5, 7.7-7.8,
8.1-8.2, 9.1, 9.3, 9.5, 10.1-10.4, 11.1-11.11, 12.1, 12.5, 12.6, 13.1-13.3, 13.4 (not Keplers Laws), 15.7 &
15.8 (Spherical and cylindrical coordinates only).
Grading Scheme:
Lab Work . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10%
Weekly Assignments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10%
Midterm Exam . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30%
Final Exam . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 50%
Exam Dates & Times:
Midterm Exam: Monday, May 25, 2009, 08:30 – 09:40. Room: The usual classroom (CEB 231)
Final Exam: TBA
Deferred Exam: TBA.
About Labs:
There will be two 50 minute laboratory classes each week. In order to help you prepare for each lab, a
list of preparation problems is provided in a separate sheet called “Preparation Materials for Math 101
Labs”. You are strongly encouraged to do as many of these problems as possible before going to the lab,
so that you may use the lab time effectively. Some of the labs will include a quiz, with problems coming
directly from, or being very close variants of, the preparation problems. At the end of the term, your lab
instructor will compute an average taking into account all of the quizzes from the term.
About Assignments:
There will be 5 homework assignments. Each assignment is to be handed in by 12:00 (noon) of the due
date, in the appropriate assignment box on the third floor of CAB. See the attached schedule for the due
date of assignments. Please note: Late assignments will not be graded. We may also use sets of
drill problems trough MapleTA as a source for extra practice, althoug the exact nature of these problems
as well as their posting times will be decided at a later time along the term. Problems from both the
assignments and the online drill problems are natural candidate-problems to appear in the exams.
About Exams:
The exams are closed book, closed notes. No calculators and no formula sheets are allowed at
the exams. Students missing an exam due to illness or other suitable reasons must provide adequate
documentation. See the university calendar for details on the regulations. Note that there is no defereed
midterm exam. If you miss the midterm exam for a valid reason, the weight will be transferred to the
final. Students who miss the final exam may write a deferred exam only if they obtain a formal (in
writing) University accepted excuse for their absence. For a possible re-examination, check with your
Faculty office.
University Regulations:
Policy about course outlines can be found in 23.4(2) of the University Calendar. The University of
Alberta is committed to the highest standards of academic integrity and honesty. Students are expected to
be familiar with these standards regarding academic honesty and to uphold the policies of the University
in this respect. Students are particularly urged to familiarize themselves with the provisions of the Code
of Student Behaviour (online at www.uofaweb.ualberta.ca/secretariat/studentappeals.cfm) and avoid any
behaviour which could potentially result in suspicions of cheating, plagiarism, misrepresentation of facts
and/or participation in an offence. Academic dishonesty is a serious offence and can result in suspension
or expulsion from the University.
COURSE AND ASSIGNMENTS SCHEDULE
Sections of the textbook†
No Lec. Date
1
M, May 4
5.3 The Fundamental Theorem of Calculus & 5.5 The Substitution Rule
2
T, May 5
5.5 The Substitution Rule & 6.1 Area between Curves
3
W, May 6
6.2 Volume by Cross Sections & 6.3 Volume by Cylindrical Shells
4
R, May 7
7.1 Integration by Parts & 7.2 Integrals of Trigonometric Functions
5
F, May 8
7.3 Trigonometric Substitution
6
M, May 11
7.4 Integration of Rational Functions & 7.5 Strategy for Integration
7
T, May 12
7.7 Approximate Integration
8
W, May 13
7.8 Improper Integrals
9
R, May 14
9.1 Modeling with Differential Equations
10
F, May 15
9.3 Separable Equations & 9.5 Linear Equations
*
M, May 18
Victoria Day: No Classes
11
T, May 19
11.2 Series( Review) & 11.3 The Integral Test
12
W, May 20
11.4 The Comparison Tests & 11.5 Alternating Series
13
R, May 21
11.6 Absolute Convergence, Ratio and Root Tests & 11.7 Strategy for Series
14
F, May 22
11.8 Power Series & 11.9 Representations of Functions as Power Series
**
M, May 25
Midterm Exam
15
T, May 26
11.10 Taylor and Maclaurin Series
16
W, May 27
11.11 Applications of Taylor Polynomials
17
R, May 28
10.1&10.2 Parametric Curves (not arc length, surface area)
18
F, May 29
10.3 Polar Coordinates & 10.4 Areas in Polar Coordinates (not arc length)
19
M, Jun 1
12.1 Three Dimensional Coordinate Systems
20
T, Jun 2
12.5 Equations of Lines and Planes & 12.6 Cylinders and Quadric Surfaces
21
W, Jun 3
15.7 Spherical coordinates & 15.8 Cylindrical Coordinates
22
R, Jun 4
13.1 Vector Functions & 13.2 Derivatives and Integrals of Vector Functions
23
F, Jun 5
8.1 Arc Length & 10.2 Arc Length & 10.4 Arc Length in Polar Coords.
24
M, Jun 8
8.2 Area of a Surface of Revolution & 10.2 Surface Area
25
T, Jun 9
13.3 Arc Length and Curvature
26
W, Jun 10
13.4 Tangential and Normal Components of Acceleration
MIDTERM EXAM: (Lectures 1-14)
FINAL EXAM: TBA
Assig. No. Due Date
1
Monday
May 11
2
Tuesday
May 19
3
Monday
May 25
4
Monday
June 1
5
Monday
June 8
Monday, May 25th 2009, 08:30 – 09:40.
† Information in this column is tentative, in the sense that the actual date when we cover these sections
may vary bit depending on the pace of the lectures.