MATH 184, 2020W
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 2020W session (September to December 2020). 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 through Canvas. 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
The information about midterms will be on Canvas.
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.
The midterm 1 for 2018 is
HERE . You should try to do the midterm 1 for 2018 before you use
THE SOLUTION TO THE MIDTERM 1 FOR 2018.
A sample midterm 2 is
HERE . You should try to do the sample midterm 2 before you use
THE SOLUTION TO THE SAMPLE MIDTERM 2.
The midterm 2 for 2018 is
HERE . You should try to do the sample midterm 2 before you use
THE SOLUTION TO THE SAMPLE MIDTERM 2.
Math 184 FINAL EXAM NOTICE
The information about final exam will be on Canvas.
Textbook
We use the locally developed online textbook:
CLP 1 Differential Calculus Notes and
CLP-1 Differential Calculus problem book
by Joel Feldman and
Andrew Rechnitzer. Problems by Elyse Yeager .
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: 40% Final Exam + 30% 2 Midterms + 10% Math 184 Workshops + 10% Webwork Homework + 10% other (section specific).
- A student must get at least 35% on the final
exam to pass this course. A student who gets less than 35% 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
About 10 to 17 webwork problems will be posted on Canvas as course-common homework problems every week and will be due the following week.
Students need to access Webwork through Canvas. To access Math 184 WebWorK, you should login to Canvas and click on 'Assignments' tab in the MATH184 Dashboard.
Math 184 Workshop site link
There are no workshops during the first week. All workshops will begin on September 14, 2020.
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 50 minutes. The dates are TBA.
- Midterms are non-cumulative, but the final exam is based on the entire syllabus for the course.
- 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: Missing midterms:
There are
no make-up midterms
in this course. Missing the midterm
for a 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. Any student who misses the midterm is
to present to their instructor the
Department of Mathematics self-declaration form
for
reporting a missed assessment to their instructor within 72 hours of the midterm date.
This policy conforms with the UBC Vancouver Senate's Academic Concession policy V-135.
Please note that a student who misses the midterm and has otherwise not completed
a substantial portion of the term work normally shall not be admitted to the final
examination.
Coursework Policies
- The section specific work that accounts for the remaining 10% 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.
- 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
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 differential calculus, with applications and examples drawn
primarily from business and economics. These courses are equivalent in technical content to MATH
100/180/102/104 and serve as a pre-requisite for any of MATH 101/103/105.
Please note that ``Week" below typically means 3 lecture hours, but this will vary.
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.
- 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 1.4. Theorem 1.4.17 (Squeeze theorem) will not covered in Math 184. Please note that we have skipped Definition 1.3.10 (infinite limits) and will return to Definition 1.3.10 (infinite limits) and Chapter 1.5 (limits at infinity) when we do curve sketching in Week 8.
- 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 and 2.7.
- Week 4 Rules of Differentiation II.Trigonometric Functions. Chapter 2.8. The Chain Rule. Chapter 2.9.
- Week 5 The Natural Logarithm (Chapter 2.10), implicit Differentiation (Chapter 2.11) and higher order derivatives (Chapter 2.14).
- Week 6 Applications:Elasticity of Demand (Notes). Exponential Growth (Chapter 3.3.1 and Chapter 3.3.3). Compound Interest (Notes for Continuous Compound Interest).
- Week 7 Related Rates ( Chapter 3.2). Maxima and Minima (Chapter 3.5.1 and 3.3.2).
- Week 8 Infinite limits (Definition 1.3.10), limits at infinity (Chapter 1.5) and graphing functions ( Chapter 3.6).
- Week 9 Graphing Functions . Chapter 4.4
- Week 10 Optimization (Chapter 3.5.3).
- 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
- 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
- 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.
- Chapter 1.1: 1, 2, 3.
- Chapter 1.2: 1, 2, 3, 4, 5, 6, 7.
- Chapter 1.3: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 16, 17.
- Chapter 1.4: 2, 3, 6, 7, 8, 9, 10, 14, 15, 16, 17, 20, 21, 24, 30, 37, 38, 40, 41, 42,
49.
- Chapter 1.6: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 16, 17, 20, 21, 22, 26.
- Chapter 2.1: 1, 2, 3, 5, 6.
- Chapter 2.2: 1, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 16, 17, 19, 25, 26.
- Chapter 2.3: 1, 2, 3, 4, 5, 6, 7
- Chapter 2.4: 1, 2, 3, 4, 5, 6, 7, 9,10, 12, 14, 15, 17
- Chapter 2.6: 1, 2, 4, 5, 7, 10, 12, 15, 16, 20, 21.
- Chapter 2.7: 1, 2, 3, 5, 6, 7, 8, 10, 11, 13, 14.
- Chapter 2.8: 1, 2, 3, 4, 5, 6, 8, 9, 14,16, 22
- Chapter 2.9: 1, 2, 3, 5, 6, 7, 8, 10, 14, 15, 20, 22, 26, 27, 31
- Chapter 2.10: 1, 2, 3, 6, 9, 10, 13, 15, 17, 18, 21, 22, 24, 27.
- Chapter 2.11: 1, 2, 3, 4, 5, 6, 11, 14
- Chapter 2.14: 1, 3, 4, 5, 8, 10, 13.
The problems on Elasticity of demand and on Continuous Compound In terest in
Supplementary notes.
- Chapter 3.3.1: 1, 2, 3, 4, 6, 7, 8, 9.
- Chapter 3.3.3: 2, 3, 4, 5.
- Chapter 3.2: 1, 2, 3, 4, 5, 7, 9, 16, 17, 18, 21.
- Chapter 3.5.1: 1, 2, 3, 4, 5, 6, 8.
- Chapter 3.5.2: 1, 2, 3, 4, 5.
- Chapter 1.3: 11, 13, 14, 15.
- Chapter 1.5: 1, 2, 3, 4, 5, 8, 9, 11.
- Chapter 3.6.1: 1, 2, 3, 4, 5.
- Chapter 3.6.2: 1, 2, 3, 4.
- Chapter 3.6.3: 1, 2, 3, 4, 5.
- Chapter 3.6.4: 1, 2, 3, 4, 5, 6, 7.
- Chapter 3.6.6: 1, 2, 3, 4, 5, 6, 7, 11.
- Chapter 3.5.3: 1, 2, 3, 4, 6, 7, 8, 10, 14, 15.
- Chapter 3.4.2: 1, 2, 3, 4, 5, 6, 7, 9.
- Chapter 3.4.3: 1, 2, 3, 6.
- Chapter 3.4.4: 1, 3, 4, 6.
- Chapter 3.4.6: 1, 2, 3.
- Chapter 2.12: 3, 6, 9, 10, 11, 12, 13, 14, 15, 28.