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Topics as for Math 104; intended for students with no previous knowledge of Calculus. Please consult the Faculty of Science Credit Exclusion List: www.students.ubc.ca/calendar/index.cfm?tree=12,215,410,414. Not for credit for students with AP Calculus AB, AP Calculus BC, or a passing score on the UBC-SFU-UVIC-UNBC Calculus Challenge Examination.

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MATH 184, 2018W

Differential Calculus with Applications to Commerce and Social

Sciences

Course information

This is the common page for all sections of MATH 184 in Term 1 of the 2018W session (September to

December 2018). Here you will find the course outline, suggested homework and practice problems, course

policies, exam dates, common handouts and supplementary notes, other course information, and information on

available resources.

There will be common weekly webwork assignments, and these can be accessed on this page. For section

specific assignments and information please go to your own section site linked at the bottom of the page.

There will be three examinations (two midterm exams and one final exam), and the exams will be common to all

sections of MATH 184. See the information below for examination dates. For section-specific information,

please contact your instructor.

MIDTERM EXAM NOTICE

Midterm exam 1 will be held on October 16 (Tuesday). The time is from 7:00pm to 8:00pm.

A sample midterm 1 is HERE . You should try to do the sample midterm 1 before you use THE SOLUTION

TO THE SAMPLE MIDTERM 1.

For Midterm 1 you will be expected to know the material from 1.3, 2.1, 2.2, 2.3, 2.6, 3.1, 3.2, 3.3, 3.4, 3.5,

3.6 ( p171- p177) in the textbook, the marginal cost, the marginal revenue, the marginal profit and the Notes on a

Basic Business Problem on online. Midterm 1 will NOT cover Elasticity in section 3.6. The weekly learning

goals, and the accompanying suggested problems, outline precisely what you are expected to know. Midterm 1

consists of 6 questions, and you will have one hour to do it. No memory aids are allowed. No calculators. No

communication devices. You need to bring your student ID to do Midterm 1.

Midterm 1 Room Assignments: Note that Math 184:XYZ means the section XYZ of Math 184

Math 184:101 is in ESB 1013

Math 184:102 is in ESB 1013

Math 184:103 is in SCRF 100

Math 184:104 is in SCRF 100

Math 184:105 is in CHEM B150

Math 184:106 is in MacMILLAN Room 166

The locations of the rooms can be found in this webpage.

Midterm exam 2 will be held on November 15 (Thursday). The time is from 6:00pm to 7:00pm.

Math 184 FINAL EXAM NOTICE

Math 184 final exam will be held in December. More information about it will be given in November.

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Textbook

The required textbook for this course is Calculus: Early Transcendentals with student solutions manual, Volume

1. Fourth custom edition for UBC, by Briggs, Cochran and Gillett. The textbook is available at the UBC

Bookstore. ISBN 10 digit: 1-269-91047-7. ISBN 13 digit: 978-269-91047-7. This book is available at the UBC

Bookstore.

Note that there may be differences in page number references and problem numbering between different

editions if you use a different edition of the Briggs, Cochran and Gillett textbook. It is up to you to deal with any

such potential inconsistencies if you use a different edtition of the text.

Beginning-of-term registration information

If you are not registered in a section, please do not attend it without the instructor's approval.

Instructors do not have the authority to "fit you in". Such requests have to be processed by the math

department office (Room 121 Mathematics Building). The math department is conducting registration

help sessions in September.

Grading Schemes

MATH 184: Your grade normally will be computed based on the following formula: 50% Final Exam +

25% 2 Midterms + 10% Math 184 Workshops + 10% Webwork Homework + 5% other (section specific).

A student must get at least 40% on the final exam to pass this course. A student who gets less than 40% on

the final exam and whose grade computed by the grading scheme would be a passing grade shall receive a

final grade of 48%."

Math 184 Webwork site link

The webwork problems will be posted on MATH184-ALL 2018W1 as course-common homework problems

every week and will be due the following week. Note that students need to access Webwork through Canvas.

Math 184 Workshop site link

There are no workshops during the first week. All workshops will begin on September 10, 2018. The basic

information about the Math 184 workshops and also the weekly problems with their solutions can be found on

Math 184 Workshop page .

Exam Dates and Policies

THE FINAL EXAM for this course will be common to all sections of MATH 184. The exam will take

place in December at a date to be announced. Please do not make end-of-term 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 184. There will be

two midterms in MATH 184. 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 60 minutes. The dates are as follows:

Midterm 1: October 16 (Tuesday), 7:00pm-8:00pm

Midterm 2: November 15 (Thursday), 6:00pm-7:00pm.

Midterms are non-cumulative, but the final exam is based on the entire syllabus for the course.

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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. Formula sheets and other memory aids will not be

allowed.

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 make-up 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 ID-s to both midterms and the final.

Coursework Policies

The section specific work that accounts for the remaining 5% of your coursework grade will be decided by

your instructor and may vary from one section to another. This is based on various factors such as lecture

times, class size etc.

In addition to WebWork problems, a list of suggested practice problems is at the end of this webpage.

These are not to be turned in and will not be graded. It is however strongly recommended that you work

through these problem sets as they are based on the syllabus for this course, and therefore omit problems

that may be in the text but are unrelated to the course material. They also accurately reflect in terms of

content and level of difficulty the problems you will encounter in midterms and the final.

Late Assignments: WebWork will automatically close at a previously announced time specified by the

instructor, so it is important to finalize and submit your work by that deadline. It will not be possible to

obtain extensions on WebWork assignments.

Academic misconduct

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.

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.

Individual section links

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Section 101 of MATH 184 M-W-F 12-1pm Buchanan A102 (Instructor: LIU, KEQIN)

Section 102 of MATH 184 M-W-F 3-4pm MATH 100 (Instructor: LIU, KEQIN)

Section 103 of MATH 184 M-W-F 4-5pm Leonard S. Klinck 201 (Instructor: CASTO, KEVIN)

Section 104 of MATH 184 M-W-F 12-1pm Leonard S. Klinck 201 (Instructor: CASTO, KEVIN))

Section 105 of MATH 184 T-R 3:30-5pm MATH 100 (Instructor: DEMIRBAS, SECKIN)

Section 106 of MATH 184 M-W-F 3-4pm Leonard S. Klinck 201 (Instructor: HUXOL, TOBIAS)

Help outside class

Each instructor will hold a few (2-3) office hours per week for students in his/her section. See section

website for more details.

Drop-in Tutorials: There is a drop-in tutorial centre whose operating schedule and venue for this semester

will be posted here. The tutorial centre typically starts from the second week of classes. Graduate student

TAs are there to help you during specified times.

The AMS offers tutoring services.

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.

Course Outline

MATH 184 are courses in diî€€erential calculus, with applications and examples drawn primarily from

business and economics. These courses are equivalent in technical content to MATH 100/180/102 and

serve as a pre-requisite for any of MATH 101/103/105. The text book for MATH 184 is Single Variable

Calculus: Early Transcendentals , First Edition, by Briggs and Cochran. Any supplemental notes for speci c

topics will be posted on the main course website.

Please note that ``Week" below typically means 3 lecture hours, but this will vary. There are two common

midterms scheduled in the term, and both will take place in the evening. This course is heavily

coordinated, but individual instructors will have their own style. Be assured that the content taught will be

the same across all sections in spite of this, and that all sections will be prepared for the common

midterms and common nal exam.

Here is a week-by-week 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 self-checks.

Week 0 Introduction: Review of Exponentials, Logarithms, and Inverse Functions. Chapter 1.3

Week 1 A standard business problem from managerial economics. (Notes). An Introduction to

Limits. Chapter 2.1, 2.2, and 2.3 (to the end of Quick Check 3 on p. 74)

Week 2 Continuous Functions. Chapter 2.6 (to p. 101 plus the definitions on page 103 and the

intermediate Value Theorem). The Derivative. Chapter 3.1, 3.2

Week 3 Rules of Differentiation. Chapter 3.3, 3.4. Chapter 3.5: only the table of derivatives

Theorem 3.13 on p. 167. (We return to this section at the end of the course.)

Week 4 Derivative as rate of change. Chapter 3.6. The Chain Rule. Chapter 3.7

Week 5 Implicit Diî€€erentiation. Chapter 3.8 to the end of the section on Slopes of Tangent Lines,

plus material on te power rule with rational exponents. Derivatives of Logarithms and Exponentials.

Chapter 3.9

Week 6 Derivatives of Logarithms and Exponentials Continued. Chapter 3.9. Applications:

Elasticity of Demand (Notes to be posted online. Instructors will cover the first two pages in the

note on Elasticity of Demand and do some examples from the other pages. Students should read the

remaining examples in this note.). Exponential Growth and Compound Interest. (Chapter 6.8 to the

end of Example 3 plus online notes. ).

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Week 7 Related Rates. Chapter 3.11. Maxima and Minima. Chapter 4.1

Week 8 Information in the rst and second derivatives. Chapter 4.2. Asymptotes from Chapter 2.5.

Graphing functions. Chapter 4.3

Week 9 Optimization problems I. Chapter 4.4

Week 10 Optimization Problems Continued. Chapter 4.4. Linear Approximation. Chapter 4.5

Week 11 Approximating Functions with polynomials Chapter 9.1

Week 12 Approximating Functions with polynomials Continued Chapter 9.1. Inverse Trigonometric

Functions. Chapter 3.10

Week-by-week detailed learning goals

Supplementary notes

A business problem for week one

Here are some notes on Elasticity of Demand , notes on Compound interest and section 6.8 for week 6

Here are some (for week 6 and week 7)

problems on Elasticity of Demand and on Continuous Compound Interest(with answers) ,

problems on Related Rates in business (with answers)

Practice problems

This section contains a list of problems from the textbook. 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.

Section 1.3: 3, 5, 11, 15, 17, 19, 25, 27, 29, 41, 43, 45, 53, 55, 70, 71, 72, 73, 79, 81, 91.

Section 2.1: 3, 5, 7, 11, 15, 29.

Section 2.2: 2, 5, 10, 11, 21, 23, 27, 29, 43.

Section 2.3: 5, 10, 26, 29, 33, 34, 37, 40, 41, 46, 47, 51, 68.

Section 2.6: 8, 10, 18, 23, 39, 58, 65, 84, 85.

Section 3.1: 2, 10, 23, 49, 51, 56, 63.

Section 3.2: 9, 10, 15, 19.

Section 3.3: 19-24, 28, 33, 36, 38, 41, 54, 62, 72, 79.

Section 3.4: 7-14, 15, 31, 34, 51, 54, 59, 60, 72, 85, 87.

Section 3.5: 6, 17-28, 46, 62, 66.

Section 3.6: 7, 10, 11, 12, 20, 21, 35, 41, 42, 46, 47.

Section 3.7: 2, 4, 5, 6, 35, 36, 38, 50, 51, 52, 79, 81, 82, 88, 93, 99, 100.

Section 3.8: 2, 3, 10, 12, 18, 24, 27, 28, 51, 54, 56, 60, 61, 75,

Section 3.9: 1, 2, 6, 12, 16, 19, 54, 57, 60, 65, 68, 97, 105.

Section 6.8: 1, 10, 11, 13, 16, 25, 30, 38

Section 3.11: 3, 10, 15, 19, 22, 24, 29, 46.

Section 4.1: 1, 4, 5, 7, 8, 10, 13, 14, 20, 24, 30, 31, 33, 52, 54, 58, 61, 62, 66, 79.

Section 4.2: 1, 2, 3, 12, 16, 22, 34, 40, 46, 47, 50, 60, 64, 68, 70, 79, 80, 97, 98, 100.

Section 2.4: 9, 11, 17, 19, 21.

Section 2.5: 28, 32, 52, 53, 57, 68.

Section 4.3: 2, 3, 8, 13, 19, 25, 30, 35, 36, 48, 49, 70.

Section 4.4: 2, 3, 4, 6, 15, 17, 21, 22, 26, 29, 31, 37, 39, 54, 61, 63.

Section 4.5: Quick Checks: 1-4; Exercises: 2, 3, 4, 15, 16, 18, 24, 26, 30, 37, 38, 47, 51, 57, 61, 63.

Section 9.1: 1, 2, 6, 9, 11, 17, 21, 31, 39, 42, 43, 73.

Section 3.10: 7-12, 22, 26.

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