MATH 104

Differential Calculus with Applications to Commerce and Social Sciences

University of British Columbia

Derivatives and rates of change, exponential and trigonometric functions, Newton's method, Taylor polynomials, maxima and minima, and graphing. Please consult the Faculty of Science Credit Exclusion List:,215,410,414.
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24HR Notes for MATH 104

Available 24 hours after each lecture

Yue Xian Li

MATH 104 Syllabus for Yue Xian Li — Fall 2018

Course Syllabus
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This is the common Canvas site for MATH 104 and is the source of all central course information, including the course outline,
course policies, course study materials, access to online homework, course grades, and general announcements.
Each section of MATH 104 also has its own Canvas site, which is maintained by your section's instructor.
The Instructor-in-Charge for MATH 104 is Professor Mark Mac Lean.
The instructors of the individual sections are:
1. Section 101: Dr. Senping Luo
2. Section 102: Professor Mark Mac Lean
3. Section 103: Dr. Sebastián Barbieri
4. Section 104: Dr. Angelos Koustianas
5. Section 105: Thomas Hughes
6. Section 106: Dr. Jishnu Ray
7. Section 107: Thomas Rüd
8. Section 108: Professor YueXian Li
9. Section 109: Dr. Nicolau Sarquis-Aiex
We use the locally developed CLP Notes: Differential Calculus Notes by Joel Feldman and Andrew Rechnitzer. Problems by
Elyse Yeager. (
Note that there is a mobile friendly version available.
There are also Extra Notes and Problems for a few topics that are not include in the CLP Notes.
Course Outline:
Here is our expected progress through the course laid out in weeks. A week is roughly 3 lecture hours. Note the midterm dates and
Week 0 Introduction : Review of Exponentials, Logarithms, and Inverse Functions. Chapter 0, pp.141 to 143 and Appendix A.
(Note: students review most material on their own. Lectures will not cover all of it.)
Week 1 A standard business problem from managerial economics. (Notes ). An Introduction to Limits. Chapter 1.1 to 1.5.
Week 2 Continuous Functions. Chapter 1.6. The Derivative. Chapter 2.1 to 2.3.
Week 3 Rules of Differentiation I. Chapter 2.4, 2.6. Exponential Functions. Chapter 2.7.
Week 4 Rules of Differentiation II. Trigonometric Functions. Chapter 2.8. The Chain Rule. Chapter 2.9.
Mid-term I. (Wednesday, October 3rd or Thursday, October 4th)
Week 5 The Natural Logarithm. Implicit Differentiation. Chapter 2.10 and 2.11. Note: Thanksgiving Day is Monday, October 11th,
which is a holiday.
Week 6 Applications: Elasticity of Demand (Notes ). Exponential Growth and Compound Interest. Chapter 3.3.
Week 7 Mean Value Theorem: Chapter 2.13. Related Rates. Chapter 3.2. Optimization I: Maxima and Minima. Chapter 3.5.
Week 8 Optimization Problems. Chapter 3.5.
Week 9 Graphing functions. Chapter 3.6.
Mid-term II. (Wednesday, November 7th or Thursday, November 8th)
Week 10 Graphing Functions. Chapter 3.6. Note: Monday, November 13 is a holiday in lieu of November11th.
Week 11 Approximating Functions with polynomials I. Chapter 3.4.
Week 12 Approximating Functions with Polynomials II. Chapter 3.4. Inverse Trigonometric Functions. Chapter 2.12
Learning Goals:
The learning goals for MATH 104 are found here. More detailed weekly learning goals and coaching notes will be found on this
page. You are encouraged to track your progress in mastering these learning goals throughout the term.
Grading Scheme:
Your grade normally will be computed based on the following formula: 50% Final Exam + 30% 2 Midterms + 10% WebWork
Assignments + 10% Homework, Quizzes, Clicker participation, and other work assigned by individual instructors.
Please note that grades may be scaled to ensure fairness across sections; this does not mean the distribution will be the same
for all sections. The final exam is common to all sections and may be used to normalize grades across sections.
FINAL EXAM PERFORMANCE REQUIREMENT: Students need to achieve a minimum of 40% on the final exam to pass
MATH 104. Passing the MATH 104 final exam may not be sufficient to ensure a student passes MATH 104 if they have failed the
term work.
Course Policies:
1. The final examination in December for this course will be common to all sections of MATH 104. This examination will account for
50% of a student's final grade. The remaining 50% will be based on term work. The final examination generally will not be
weighted higher for students who perform better on the final examination than they did during the term, although some
allowance may be made for students who perform much better on the final examination than they did during the term. (In
practice, this rarely happens and the criterion will be set by the Instructor-in-charge and applied uniformly across all sections.)
The final examination is board marked (i.e. all instructors teaching this course mark the exams together) to ensure consistency
and fairness across sections.
2. IMPORTANT: The final 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 would 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.
3. No unauthorized devices will be allowed at the final examination. This includes cell phones, smart phones, music players, and all
other devices. Formula sheets and other memory aids will not be allowed.
4. No calculators will be allowed on midterms or the final examination.
5. Midterms: There will be two in-class midterms in MATH 104/184. The dates, which are subject to change, are:
Midterm 1: Wednesday, October 3rd for MWF classes and Thursday, October 4th for T Th classes
Midterm 2: Wednesday, November 7th for MWF classes and Thursday, November 8th for T Th classes.
6. Missing midterms:There are no make-up midterms in this course. Missing a midterm for a documented valid reason normally
results in the weight of that midterm being transferred to the final exam. Examples of valid reasons include illness and travel to
play a scheduled game for a varsity team. Examples of reasons that are not valid include conflicts with personal travel schedules
or conflicts with work schedules.
Please note that a student who misses both midterms has not completed a substantial portion of the term work and
normally shall not be admitted to the final examination.
7. Missing the Final Exam: You will need to present your situation to the Dean's Office of your Faculty to be considered for a
deferred exam. See the Calendar for detailed regulations (,41,94,0) . Your
performance in a course up to the exam is taken into consideration in granting a deferred exam status (e.g. failing badly
generally means you will not be granted a deferred exam). In Mathematics, generally students sit the next available exam for the
course they are taking, which could be several months after the original exam was scheduled. Note that your personal travel
Course Summary:
Date Details
Wed Sep 12, 2018
Assignment0 ( due by 8am
Assignment1 ( due by 8am
schedule is NOT a valid reason for missing a final exam and students who miss the MATH 104 exam for this reason will receive
a grade of 0 on the exam and fail the course.
First year can be an overwhelming experience for many students. If you find yourself having serious academic difficulties
in this course, it is best to talk to your instructor as soon as you can.
Academic Misconduct:
1. UBC takes cheating incidents very seriously. After due investigation, students found guilty of cheating on tests and examinations
are usually given a final grade of 0 in the course and suspended from UBC for one year. More information
(,54,111,0) . (,54,111,0)
2. While students are encouraged to study together, they should be aware that blatant copying of another student's work is a
serious breach of academic integrity. Please discuss with your instructors their expectations for acceptable collaboration on any
assigned coursework. Cases of suspected cheating will be investigated thoroughly.
3. Note that academic misconduct includes misrepresenting a medical excuse or other personal situation for the purposes of
postponing an examination or quiz or otherwise obtaining an academic concession.
Extra Help:
Each instructor will hold office hours each week for students in his/her section of MATH 104. These office hours may be by
Math Learning Centre: There is a Math Learning Centre ( in LSK 301. Graduate student TAs
are there to help you during the posted hours.
Weekly Webwork Assignments:
Each week there will be an online homework set. There is a link for the WebWork assignments in the Course Summary on this
page; you should access each assignment from this page to ensure your grade is recorded in the Grade book. WebWork
homework is due at 8:00 a.m. on Wednesdays.
Note that the intent of homework is to help you learn the material, and therefore it should be done as you are studying. Data show
that students who leave their homework to the night before do poorly in the course.

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