Webworks Math Ubc Assignments

MATH 200: Multivariable calculus, the common website.
Winter Term 2 2017/18

Individual section websites:


Exams and Marking

Course mark will be based on the Homework Webwork (10%), five in-class quizzes (15%), one common midterm exam (25%), and the final exam (50%). The midterm will be on Tuesday February 13th at 6:30pm. Rooms will be section-specific (please see below). The final exam will cover the entire course. The midterm and the final exam will be common between all sections, and marked jointly. No calculators, electronic communication devices, books, notes or aids of any kind will be allowed for exams. Students are required to bring ID to all exams.

Policies:

  • All exams are closed book, but you can bring 1 formula sheet written on both sides. Calculators will not be permitted.
  • Missing a midterm results in a score of 0, except with prior consent of the instructor or with a doctor's note. In these latter cases, you will be allowed to take a make-up midterm; dates and times of make-up midterms will be announced later. If you anticipate having a valid conflict with the announced midterm time, please send an e-mail to math200dictator@gmail.com. If you fail to notify the Instructor-in-charge of a conflict via this e-mail before February 12, you may not be allowed to take the make-up exam, and your score will be 0.
  • Each Webwork assignment generally closes at 11:59pm on Wednesday (occasionally, Tuesday or Thursday) night (please look at the dates carefully in case there are some deviations). No extensions are possible.
  • If for any reason you have to miss the final exam, it is the university-wide policy that you need to apply for "standing deferred" status through your faculty. Missed finals are not handled by the instructors or the Mathematics Department.


  • Homework

    • Homework assignments should be submitted online through Webwork . (Scroll down to the course named MATH200-ALL_2017W2); or you should be able to access it through Connect.
    • The "Getting started with webwork" handout
    • Please use Piazza as the main resource for help with webwork-related and other questions. It is a forum, which will be monitored by our TA, where you can post questions and answers about webwork. Please use the "e-mail instructor" button in webwork *only* if the question is not answered on Piazza, and you posted it and did not receive an answer. Sign-up link for our class on Piazza.

    Getting help

    • In addition to your instructor's office hours, please take advantage of the Math Learning Centre drop-in tutoring. Do not wait till the exams -- if you feel uncomfortable with any of the material, talk to your classmates, talk to the instructor, and come ask questions at the Math Learning Centre.
    • For all technical problems with webwork, Piazza registration, or exam conflicts, please e-mail math200dictator@gmail.com

    Resources

  • You can use Wolfram Alpha -- it is a wonderful tool for plotting graphs of functions of two variables, for example. If you want to visualize, for example, the surface x^2+xy-y^2+3z=0, just type in "plot (x^2+xy-y^2+3z=0)". A note about Webwork and Wolfram Alpha: there will be many problems in Webwork which require thinking and which Wolfram Alpha cannot do; for the more mechanical ones that it can do, if you just use the software and copy the answers, it detracts from your learning. You might get a few extra points for the webwork problem, but you'll certainly lose much more on the exam for not having that skill. So use this great software to your advantage (to help you visualize the objects we study, and to learn), not to your disadvantage (to cheat on Webwork).
  • See review materials for the exams below the "Announcements" section on this website.
  • Math Learning Centre drop-in tutoring.

    Announcements:

    • The Alternate MIDTERM EXAMS for those who had conflicts and informed me (or for those who were sick) will be on:
      • Wednesday February 15, 4:30-6pm in MATX 1118
      • Thursday February 16, 4:30-6pm in MATH 202.
    • Checklist of immediate things to do:
      • log in into Webwork and make sure it works for you (first assignment due on February 12th);
      • sign up for Piazza ;
      • check for conflicts with the evening midterm on February 13th.
      If for some reason you cannot log in to Webwork, cannot sign up for Piazza, or have an exam conflict, please e-mail math200dictator@gmail.com

    Review materials for the Midterm

  • The list of topics .
  • Final from 2003, with solutions . Look *only* at problems 1 and 2.
  • Midterm 1 for Math 263, 2005. (Ignore Problem 2).
  • Midterm 1 from 2007. (Ignore Problem 2).
  • Midterm 1 from 2012 (this one was too easy, though -- you can expect a slightly harder exam this year and it will cover more).
  • Midterm 1 from 2013 with solutions (ours will cover more -- see below for selected problems from Midterm 2 from the same year).
  • Midterm 2 from 2013 with solution (only look at problems 1(a)(b), (c) and 3).
  • Midterm from 2015 (with solution)
  • You can see the past final exams for Math 200 at The Department website . Here is the list of relevant problems from some of these exams:
    • April 2005 : do problems 3,4,5.
    • April 2006: do problems 1,5.
    • April 2007: do problems 1, 2(a),4.
    • April 2009: do problems 1, 2.
    • April 2010: do problems 1, 2(ii).
    • April 2011: do problems 1, 2, 3.
    • April 2012: do problems 1, 2, 3.
    • December 2005: do problems 1, 2, 5(a).
    • December 2006: only problem 1.
    • December 2007: problems 1, 7.
    • December 2008: 1,2, 3.
    You can also use the other exams picking out the problems on relevant topics in the same spirit as above. (Please do NOT get scared by things we have not yet covered and email me about it though).

    (Approximate) week-by-week course outline

    Chapter numbers are from Apex Calculus unless otherwise specified. Please note that this is only an approximate outline; it may be updated as the course progresses. Please also check the individual sections' websites for more specific information about your lectures. Some illustrations and supplemental materials may be posted below the description of a week's lectures, please keep checking.
    • January 3-5: 10.1 (only up to "Cylinders") : Three-dimensional coordinate systems; 10.2: Vectors; basic operations with vectors; length of a vector, equation of a sphere in space, unit vector in a specified direction.
      Suggested problems: 10.1: 1-3, 7, 9, 12, 16
      10.2: 1-5, 8, 11, 15, 20, 23, 27, 31

    • January 8-12: 10.3 Dot product; Using dot product to find an angle between lines. Application to finding forces. 10.4 Cross product. Using cross product to find a vector orthogonal to two given ones; cross product and area.
      Quiz 1 on vectors.
      Homework 1 due.
      Suggested problems: 10.3: 1-3, 11, 15, 19, 31, 39.
      10.4: 1-5, 9, 15, 27, 30, 31, 35, 39, 41.

    • January 15-19: 10.5 and 10.6 Equations of lines and planes. Symmetric and parametric equations of a line in space. Equations for planes in space. Equations for a line of intersection of two planes, etc. Finding distances in space: distance from a point to a plane, etc.
      Homework 2 due.
      Suggested problems: 10.5: 7, 11, 21, 27, 31.
      10.6: 1, 2, 9, 11, 14, 15, 17, 19, 25, 29, 32;

    • January 22-26: 10.1: Cylinders and quadric surfaces. Reading assignment: 9.1 (Conic Sections).
      12.1 Functions of several variables. Domain and range. Level curves and level surfaces.
      Quiz 2 on equations of lines and planes in space.
      Homework 3 due.
      Suggested problems: 10.1: 15, 17, 23-26, 27, 32.
      12.1: 1-6, 7, 11, 17, 19, 21, 23, 26, 27, 29, 31

    • January 29 - February 2 Brief dicsussion of limits and continuity for functions of two variables. (reference: section 12.2 (we will not cover everything in this section; refer to lecture notes). 12.3, Partial derivatives; higher-order partical derivatives. 12.4 Differentials, tangent planes, and linear approximations.
      Homework 4 due.
      Suggested problems: Section 12.3: , problems 1-4, 5, 13, 19, 29, 33. Section 12.4: 7, 10, (find equation of tangent plane to z=f(x, y) at given point for 11, 12) , 13, 15, (find linear approximation for 17, 18 at the given point).

    • February 5-9. 12.5 Chain rule and implicit differentiation; start 12.6 -- directional derivatives. One additional topic to recall here: parametric equation of a segment connecting two points A and B.
      Homework 5 due.
      Quiz 3 on partial derivatives and differentials.
      Suggested problems: Section 12.5: 1-5, 9, 17, 21, 29.

    • February 12-16. 12.6 Directional derivatives and gradients, continued. 12.7 Geometric meaning of the gradient. Tangent planes to level surfaces. Tangent planes to graphs of functions of two variables, revisited.
      Midterm
      Homework 6 due.
      Suggested problems: Section 12.6, problems 1-6, 13, 15, 21, 23, 25, 27 Section 12.7, problems 17, 19, 21, 23

    • February 26- March 2. Section 12.8 Critical points: the second derivative test, absolute maximum and minimum values. Lagrange multipliers (Secondary text #1, Section 14.8).
      Homework 7 due.
      Suggested problems: Section 12.8, problems 1-4, 5, 7, 11, 13, 15, 17 (also 11, 13, 15, 19 from 14.7 in secondary text #1) Section 14.8 (from secondary text #1) 5, 10, 11, 12, 13, 15, 17

    • March 5-9. 14.8 Lagrange multipliers, continued. (two constraints not included). Starting integration: 13.1 (the definitions; area; integral of a function of two variables over a rectangle. Iterated integrals (over a rectangle). Fubini theorem (without proof).
      Quiz 4 on critical points
      Homework 8 due.
      Suggested problems: see above for 14.8, see below for 13.1

    • March 12-16: Section 13.1: double integrals over general regions. Interchanging the order of integration. Section 13.2.
      A summary of integration techniques from Math 101.
      Homework 9 due.
      Suggested problems: 13.1: 7, 9, 19, 21 (also see #3, 5, 10, 13, 15 from section 15.1 secondary text #1) 13.2: 1-4, 7, 9, 13, 17, 21, 25 (also see #17, 21, 23 from section 15.1 secondary text #1)

    • March 19-23: 13.3 Double integrals in polar coordinates. 13.4 Center of mass.
      Quiz 5 on changing the order of integration in a double integral.
      Homework 10 due.
      Suggested problems: 13.3: 3, 4, 8, 13;
      13.4: 1, 5, 6, 13, 24

    • March 26-30: 13.6 Triple integrals. Six different ways of writing a triple integral as an iterated integral. Applications. Triple integrals in cyindrical coordinates, see 14.4 (from secondary text #2)
      Homework 11 due.
      Suggested problems: 13.6: 5, 7, 9, 11, 13, 15, 19, 23.

    • April 4-6: Triple integrals in spherical coordinates 14.4 (from secondary text #2); review.
      Suggested problems: 14.4 (from secondary text #2): 11, 13, 15, 19, 22, 23
      Homework 12 is due after the end of classes, depending on the date of the final exam.
  • MATH 184, 2017W

    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 2017W session (September to December 2017). 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

  • The SOLUTIONS to midterm 1 (Version 1).
  • The SOLUTIONS to midterm 1 (Version 2).
  • The SOLUTIONS to midterm 2 (Version 1).
  • The SOLUTIONS to midterm 2 (Version 2).
  • Math 184 FINAL EXAM NOTICE

  • Math 184 final exam will be held on December 8 (Fri) from 12:00 PM to 2:30 PM. A sample final exam is HERE . You should try to do the sample final exam before you use THE SOLUTION TO THE SAMPLE FINAL EXAM.
  • The information about Math 184 final exam is HERE .

  • 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 2017W1 as course-common homework problems every week and will be due the following week. You will need your CWL login and password to access your homework set.

    Math 184 Workshop site link

    There are no workshops during the first week. All workshops will begin on September 11, 2017. 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: 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 will appear on this website every week. 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


    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 di 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 Di 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. ).
      • 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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