Course Outline for Math 105 Section 204 (January April, 2013)
Instructor: Christian Sadel
Office: LSK 126C
Office hours location: LSK 303C (LOCATION CHANGED)
Office Hours: 1:002:00 pm on Monday and Wednesday.
Textbook: The required textbook for this course is
Calculus: Early Transcendentals, Volume 2. Third custom edition for UBC,
by Briggs and Cochran. The textbook is available at the UBC Bookstore.
ISBN 10 digit: 1256805777. ISBN 13 digit: 9781256805779. This book is
available at the UBC Bookstore.
Grading Scheme . Your grade will be computed based on the following formula:
1 Final Exam 50%
2 Two midterms, common for all sections: 17% + 17% = 34%
 midterm 1: Thursday, Jan. 31, 6:30pm  7:20pm. ROOM: WOOD 4
 midterm 2: Thursday, Mar. 14, 6:30pm  7:20pm. ROOM: WOOD 4
3 Coursecommon WebWorks assignemts 10%, log in here
4 Quizzes 6%
 Jan. 9, Jan. 23, Feb. 13, Mar. 6, Mar. 27
Please note that grades may be scaled to ensure fairness across sections.
Additional material, class files
Solutions to midterms, quizzes
From common course webpage:
Quizzes in this section:
Practice problems
This section contains a list of problems from the textbook and will be
updated weekly. These are not to be turned in, but working through them
will help crystallize the concepts covered in class. Not all parts of a
textbook section will be emphasized equally in lectures, and these
problems serve as guidelines for identifying the important and relevant
parts that constitute the course syllabus. Exam questions will be
largely modelled on these problems.
 Week 1:
 Section 12.1: 1, 3, 5, 11, 13, 23, 25, 27.
 Section 12.2: 1, 3, 7, 11, 13, 15, 17, 29, 31, 33, 36, 38(b), (c), 49, 61
 Week 2:
 Section 12.4: 1, 3, 5, 9, 11, 13, 15, 17, 19, 23, 27, 55, 59, 61, 63, 65, 67.
 Section 12.8: 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33.

Week 3:
 Section 12.8: 37, 39, 44, 53.
 Section 12.9: 5, 7, 9, 19, 21, 27, 29, 39, 41, 45, 47.

Week 4:
 Section 5.1: 5, 7, 17, 19, 21, 23, 25, 27, 31, 33, 49, 51, 53, 55, 56, 57.
 Section 5.2: 3, 5, 9, 19, 20, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 49, 67, 69.

Week 5:
 Section 4.8: 11, 13, 15, 17, 19, 21, 25, 27, 29, 39, 41.
 Section 5.3: 5, 9, 11, 17, 19, 21, 23, 25, 31, 33, 35, 39, 51, 53, 55, 57, 63, 73, 87, 89.

Week 6:
 Section 5.5: 3, 5, 11, 13, 15, 19, 23, 27, 29, 31, 35, 37, 39, 45, 49, 51, 53, 57, 63, 77.
 Section 7.1: 7, 9, 11, 13, 15, 17, 19, 23, 25, 27, 29, 33, 35.
 Section 7.2: 11, 13, 15, 19, 21, 25, 29, 41, 43, 47, 49.

Week 7:
 Section 7.3: 7, 9, 15, 19, 21, 23, 25, 29, 31, 41, 49, 53, 55.
 Section 7.4: 1, 3, 11, 13, 15,19, 21, 27, 49, 51, 53, 57, 58, 61, 63.

Week 8:
 Section 7.6: 7, 9, 11, 13, 15, 17, 35, 37, 45, 47.
 Section 7.7: 5, 7, 11, 13, 15, 19, 27, 29, 31, 35.
 Section 7.8: 9, 11, 17, 19, 21, 23, 25, 31, 55, 57, 59.

Week 9:
 Probability Appendix 9, 10, 11, 12, 13, 14, 15, 16, 17, 18
.

Week 11:
 Section 8.1: 3, 7, 9, 11, 13, 15, 17, 21, 23, 25, 47, 58, 61, 63, 65, 67.
 Section 8.2: 3, 5, 9, 11, 13, 23, 35, 37, 39, 63, 67, 69.
 Section 8.3: 7, 9, 11, 13, 17, 19, 21, 23, 25, 29, 31, 33, 35, 37, 39, 41, 43, 47, 49, 51, 53, 59
 Section 8.4: 3, 5, 9, 11, 13, 15, 19, 23, 25, 27, 29, 31, 32, 33, 34, 45, 47, 49.

Week 12:
 Section 8.5: 9, 11, 13, 15, 17, 19, 20, 24, 25, 27, 29, 31, 33, 35, 37.
 Section 9.1: 41, 43, 45, 53, 55, 57, 59, 61, 62.
 Section 9.2: 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 53, 55, 57.

Week 13:
 Section 9.3: 9, 11, 15, 19, 21, 23, 25, 27.
 Section 9.4: 21, 22, 23, 24, 25, 26.
Exam Dates and Policies
 THE FINAL EXAM for this course will be common to all sections
of MATH 105. The exam will take place in April at a date to be
announced. Please do not make endofterm travel plans before this date has been released. The final examination is board marked (i.e. all instructors
teaching this course mark the exams together) to ensure consistency and
fairness across sections.
 THE MIDTERM EXAMS for this course will be common to all
sections of MATH 105. There will be two midterms in MATH 105. The midterm examinations are board marked (i.e. all
instructors teaching this course mark the exams together) to ensure
consistency and fairness across sections. The duration of each midterm will be 50 minutes. The dates are:
 Midterm 1: Thursday, January 31, 6:30pm7:20pm
 Midterm 2: Thursday, March 14, 6:30pm7:20pm.
 Midterms are noncumulative, but the final exam is based on the entire syllabus for the course.
 Quizzes: Inclass 15–20 minute quizzes will be given on
the following dates, all Wednesdays: Jan. 9, Jan. 23, Feb. 13, Mar. 6,
Mar. 27. Quizzes are worth 6% of your grade; your worst quiz score will
be ignored. Calculators are not allowed on quizzes. Quizzes will be
based on the corresponding suggested problems from the text.
 Grade calculation: The mark distribution of the
term work of each section may be scaled based on the final exam mark
distribution of that section. These adjusted term marks will then be
used to compute a student's final grade. Any scaling is performed to
ensure fairness in the final grades across sections. It is not expected
that such scalings would result in significant grade changes.
 Exam aids: No unauthorized electronic devices
will be allowed in the midterms or in the final exam. This includes
calculators, cell phones, music players and all communication devices.
Students should not bring their own formula sheets or other memory aids.
Common formula sheets may be provided to all students depending on the
material covered, in which case the content of the formula sheet will be
disclosed in class prior to the exam.
 Missing midterms: If a student misses a midterm,
that student shall provide a documented excuse or a mark of zero will be
entered for that midterm. Examples of valid excuses are an illness
which has been documented by a physician and Student Health Services, or
an absence to play a varsity sport (your coach will provide you with a
letter). There will be no makeup midterms, and the weight of
the missed midterm will be transferred to the final examination. To be
eligible for this arrangement, you must notify your instructor of your
failure to take the test within a week of the missed midterm, and come
up with a timeline acceptable to both for producing appropriate
documentation for your absence. Please note that a student may
NOT have 100% of their assessment based on the final examination. A
student who has not completed a
substantial portion of the term work normally shall not be
admitted to
the final examination.
 Missing the Final Exam: You will need to present
your situation to your faculty's Advising Office to be considered for a
deferred exam. See the Calendar for detailed regulations .
Your performance in a course up to the exam is taken into consideration
in granting a deferred exam status (for instance, failing badly
normally means you will not be granted a deferred exam). For deferred
exams in mathematics, students generally sit the next available exam for
the course they are taking, which could be several months after the
original exam was scheduled.
 Please bring your student IDs to both midterms and the final.
Considerate Behavior and Cheating: Talking in class is disruptive to
others trying to concentrate on the lecture. Violators may be asked to sit
separately or leave the class. Cheating on tests will not be tolerated. Any
cheating will immediately be reported the head of the Mathematics
Department for disciplinary action. Cheaters are often caught and the usual
punishment is a 0 in the course, expulsion from the University for 1 year, no
transferability for courses taken at another institution while under
suspension and a notation on your transcript of the suspension due to
cheating. Finally, it is considered inappropriate in any course to bring
friends or other students not registered in the course into the lectures
without first obtaining permission of the instructor.
Course Outline
 The course is divided into three parts. Roughly speaking, we will
cover multivariable calculus (Chapter 12) and start on integration
(Chapter 5) before the first midterm. We will complete the theory of
integration (Chapter 5) and integration techniques (Chapter 7), followed
by a week's worth of probability before the second midterm. The rest of
the time will be devoted to discussing sequences and series (Chapters 8
and 9).
 Here is a weekbyweek schedule of course material based on the
appropriate sections of the text. The chapter and section numbers are
from the second custom edition of the textbook. Follow the links for
each week to get a more detailed description of the concepts covered
that week, and for the learning objectives that you should use as
selfchecks.
 Week 1 (Jan 24): Functions of several variables (Chapter 12) Learning goals
 Planes and surfaces (12.1)
 Graphs and level curves (12.2)
 Week 2 (Jan 711): Functions of several variables (Chapter 12) Learning goals
 Partial derivatives (12.4)
 Maximum/minimum problems (12.8)
 Week 3 (Jan 1418): Functions of several variables (Chapter 12) Learning goals
 Maximum/minimum problems (12.8)
 Lagrange multipliers (12.9)
 Week 4 (Jan 21 Jan 25 ): Integration (Chapter 5) Learning goals
 Approximating areas under curves (5.1)
 Definite integrals (5.2)
 Fundamental theorem of calculus (5.3)
 Week 5 (Jan 28Feb 1): Fundamental Theorem of calculus (5.3)+Review + Midterm 1
 Week 6 (Feb 48): Integration (Chapter 5) and Integration techniques (Chapter 7) Learning goals
 Substitution rule (5.5)
 Integration by parts (7.1)
 Trigonometric integrals (7.2)
 Week 7 (Feb 1315): Integration techniques (Chapter 7) Learning goals
 Trigonometric integrals (7.2)
 Trigonometric substitutions (7.3)
 Partial fractions (7.4)
 Week 8 (Feb 25Mar 1): Integration techniques (Chapter 7) Learning goals
 Numerical integration (7.6)
 Improper integrals (7.7)
 Introduction to differential equations (7.8)
 Week 9 (Mar 48): Probability ( Probability Appendix) Learning goals
 Random Variables and Probability Basics ( 1.1, 1.2 and 1.4 in Probability Appendix)
 Continuous random variable ( 2.1, 2.2 and 2.3 in Probability Appendix)
 Expected Value, Variance, and Standard Derivation (2.5 and 2.6 in Probability Appendix)
 Week 10 (Mar 1115): Probability Appendix + Review + Midterm 2
 Week 11 (Mar 1822): Sequences and infinite series (Chapter 8) Learning goals
 Sequences (8.18.2)
 Infinite series (8.3)
 The divergence and integral tests (8.4)
 Week 12 (Mar 2529): Series (Chapter 8) and Power series (Chapter 9) Learning goals
 The ratio, root and comparison tests (8.5).
 Approximating functions with polynomials (9.1)
 Properties of power series (9.2)
 Week 13 (Apr 15): Power series (Chapter 9) and review Learning goals
 Taylor series (9.3)
 Working with Taylor series (9.4)