Math 105, 2013W Term 2

Integral Calculus with Applications to Commerce and Social Sciences

Course information

This is the common page for all sections of MATH 105 in Term 2 of the 2013W session (January to April 2013). 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. For section-specific information, please follow the individual section links below or contact your instructor.

MIDTERM EXAM NOTICE

Midterm exam 1 will be held on January 31 (Thursday) from 6:30pm to 7:20pm. A sample midterm 1 is HERE . For Midterm 1 you will be expected to know the material from week 1, week 2 and week 3. The weekly learning goals below, and the accompanying suggested problems, outline precisely what you are expected to know.

Midterm 1 Room Assignments:

Section 201 in WESB 201
Section 202 in WOOD 3
Section 203 in CHEM B150
Section 204 in WOOD 4
Section 205 in WOOD 5
Section 206 in MCML 166
Section 207 in MATX 1100
Section 208 in ESB 1012
Section 209 in WOOD 1
Section 210 and Section 211 in LSK 201
Section 212 in MATH 100
The locations of the rooms can be found in this webpage.
The SOLUTION to midterm 1.

Midterm exam 2 will be held on March 14 (Thursday) from 6:30pm to 7:30pm. A sample midterm 2 is HERE . For Midterm 2 you will be expected to know the material from the following sections: 5.1, 5.2, 5.3, 5.5, 7.1, 7.2, 7.3, 7.4, 7.6, 7.7, 7.8, and Probability Appendix 2.1 and 2.2.

Midterm 2 Room Assignments:

Section 201 in WESB 201
Section 202 in WOOD 3
Section 203 in HENN 200
Section 204 in WOOD 4
Section 205 in WOOD 5
Section 206 in MCML 166
Section 207 in MATX 1100
Section 208 in ESB 1012
Section 209 in WOOD 1
Section 210 and Section 211 in LSK 201
Section 212 in MATH 100
The locations of the rooms can be found in this webpage.
The SOLUTION ( version 1) to midterm 2 ( version 1).
The SOLUTION ( version 2) to midterm 2 ( version 2).

MATH 105 FINAL EXAM NOTICE

Math 105 final exam will be held on April 22 (Monday) from 3:30pm to 6:00pm. A sample final exam is HERE . The information about math 105 final exam is HERE .

Text

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.

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 and Cochran textbook. Also, the other editions do not have an appendix about probalbility. It is up to you to deal with any such potential inconsistencies if you use a different edtition of the text.

The practice problems for Chapter 12 are HERE, and the solutions to these exercises are HERE

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 January.

Grading Schemes

Your grade will be computed based on the following formula:

Final Exam 50%
2 midterms 17% + 17% = 34%
Course-common WebWorks assignemts 10%
Other section-specific coursework (to be decided by your instructor) 6%

Please note that grades may be scaled to ensure fairness across sections.

Math 105 Webwork site link

About 10 to 17 problems will be posted on WebWork 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.

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 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 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, 6:30pm-7:20pm
Midterm 2: Thursday, March 14, 6:30pm-7:20pm.
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. 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 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 work that accounts for the remaining 6% 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

Section 201 M-W-F 8-9am MATX 1100 (Instructor: Jia Gou , jia_g@math)
Section 202 M-W-F 8-9am Buchanan A202 (Instructor: Alex Tomberg, atomberg@math)
Section 203 M-W-F 9-10am Mathematics 100 (Instructor: Keqin Liu, kliu@math)
Section 204 M-W-F 4-5pm Mathematics 100 (Instructor: Christian Sadel, csadel@math)
Section 205 M-W-F 4-5pm Buchanan A103 (Instructor: Mostafa Fazly, fazly@math)
Section 206 M-W-F 4-5pm Buchanan A104 (Instructor: Keqin Liu, kliu@math)
Section 207 M-W-F 8-9am LSK 201 (Instructor: Jerome Lefebvre, jlefebvre@math)
Section 208 Tu-Th 2-3:30pm Buchanan A201 (Instructor: David Steinberg, dsteinbe@math )
Section 209 Tu-Th 2-3:30pm LSK 200 (Instructor: Amir Ghadermarzi, amir@math)
Section 210 M-W-F 8-9am Buchanan A102(Instructor: Jay Heumann, heumann@math )
Section 211 M-W-F 4-5pm Buchanan A202(Instructor: Kyle Hambrook, hambrook@math)
Section 212 M-W-F 8-9am Buchanan A103(Instructor: Gourab Ray, gourab@math)
Section 213 M-W-F 4-5pm LSK 200(Instructor: Tatchai Titichetrakun, tatchai@math)

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.

Need a review of differential calculus?

Not sure if you remember all the material from Math 104 that we will need in Math 105? Try the following problems as a quick refresher course in differential calculus. This list is not meant to be exhaustive, but representative.

Section 1.2 : 11, 15, 19.
Section 1.3: 25, 39, 47.
Section 1.4: 29, 32, 37.

Section 2.2: 19.
Section 2.3: 26, 39, 55.
Section 2.4: 36.
Section 2.5: 21, 39.
Section 2.6: 11, 75.

Section 3.1: 17, 27, 45.
Section 3.2: 21, 35, 43.
Section 3.3: 10, 20, 38, 60.
Section 3.4: 19, 34, 55.
Section 3.5: 11, 31.
Section 3.6: 41, 49.
Section 3.7: 13, 21, 43.
Section 3.8: 12, 15, 45.
Section 3.9: 7, 13, 17.

Section 4.1: 15, 31, 38.
Section 4.2: 19, 31, 51, 60.
Section 4.3: 29.
Section 4.4: 11.
Section 4.5: 9.

Section 9.1: 7, 13.

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 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 1 (Jan 2--8): Functions of several variables (Chapter 12) Learning goals
  - Planes and surfaces (12.1)
  - Graphs and level curves (12.2)
- Week 2 (Jan 9--15): Functions of several variables (Chapter 12) Learning goals
  - Partial derivatives (12.4)
  - Maximum/minimum problems (12.8)
- Week 3 (Jan 16--22): Functions of several variables (Chapter 12) Learning goals
  - Maximum/minimum problems (12.8)
  - Lagrange multipliers (12.9)
- Week 4 (Jan 23-- Jan 29 ): Integration (Chapter 5) Learning goals
  - Approximating areas under curves (5.1)
  - Definite integrals (5.2)
- Week 5 (Jan 30--Feb 1): Definite integrals (5.2)+Review + Midterm 1
- Week 6 (Feb 4--8): Integration (Chapter 5) and Integration techniques (Chapter 7) Learning goals
  - Fundamental theorem of calculus (5.3)
  - Substitution rule (5.5)
  - Integration by parts (7.1)
- Week 7 (Feb 11--15): Integration techniques (Chapter 7) Learning goals
  - Trigonometric integrals (7.2)
  - Trigonometric substitutions (7.3)
  - Partial fractions (7.4)
- Week 8 (Feb 25--Mar 1): Integration techniques (Chapter 7) Learning goals
  - Numerical integration (7.6)
  - Improper integrals (7.7)
  - Introduction to differential equations (7.8)
- Week 9 (Mar 4--8): 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 11--15): Probability Appendix + Review + Midterm 2
- Week 11 (Mar 18--22): Sequences and infinite series (Chapter 8) Learning goals
  - Sequences (8.1-8.2)
  - Infinite series (8.3)
  - The divergence and integral tests (8.4)
- Week 12 (Mar 25--29): 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 1--5): Power series (Chapter 9) and review Learning goals
  - Taylor series (9.3)
  - Working with Taylor series (9.4)

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 6:
- Section 4.8: 11, 13, 15, 17, 19, 21, 25, 27, 29, 39, 41. Section 4.8 and the solutions to the Practice problems in section 4.8
- Section 5.3: 5, 9, 11, 17, 19, 21, 23, 25, 31, 33, 35, 39, 51, 53, 55, 57, 63, 73, 87, 89.
- 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.
Week 7:
- Section 7.2: 11, 13, 15, 19, 21, 25, 29, 41, 43, 47, 49.
- 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, 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. The solutions are HERE . .
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, 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, 33, 35, 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.