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### MATH184:105 section webpage

This is an official section page for MATH184:105.

All policies, general grading scheme, additional mathematical problems, policies, etc. may be found in the  course website. Note that the course website is a main source of the course-related information.  Section-specific information can be found in  syllabus and through announcements (see below).

Announcements. Final exam is scheduled for December 11th at noon. Location is ESB 1013.

During the exam period, you may use the following source of support:

Review session notes. Practice exam: the set of problems was created based on the previous exams and may or may not be similar to the current exam. Also note that the number of problems is reduced, so you should be able to solve it in 1 hour, so not all the topics of this course are checked in this set of proble,s.

Office hours.

Mon Dec 9th 11:00am-01:00pm LSK 303C.
Tue Dec 10th 12:00pm-13:30pm LSK303D.

Review problems (will be posted soon.)  To prepare to the exam, I recommend to solve as many problems as possible. Please try to solve suggested problems from the weekly goals listed on the course website. Here you can find more problems.
Limits and continuity.
Elasticity.
Exponential growth.
Optimization problems.

Old announcements.
Midterm 2 will be held at MCML 166 on Thursday, November 7th at 6:40-7:40pm.

You may get Midterm 2 back on of the following days/times.

• Friday Nov 15th 9:30-11:00 at MATX1118 or
• Friday Nov 15th 11:00-12:00 at LSK 303D, or
• Monday Nov 18th 12:00-12:30 at LSK303C

I posted some stats about the midterms at the bottom of the page.

Lecture notes. Note that examples in lecture notes may be different from the examples in class.
Lecture 1 - September 5. Concepts of business, the problem about oPad (to be finished during the next class).
Lecture 2 - September 10. We finished oPad problem, talked about functions and inverse functions, exponents and logarithms and limit, right-hand and left-hand limit. Note that in your textbook the sided limits are called right-hand and left-hand limits.
Lecture 4 - Septermber 17.  Techniques for computing limits.
Lecture 5 - September 19. Continuity at a point.
Lecture 11. Review
Lecture 12. Implicit differentiation. Normal line. The derivative of the logarithm. Logarithmic differentiation.
Lecture 15 was substituted by Dr. Sujatha Ramdorai. Scan of lecture notes of Tess. Thanks a lot to her!
Lecture 16. Intervals of increase and decrease. Examples. First derivative test.
Lecture 17. Concavity, inflection points. Sketching.
Lecture 19. Sketching with vertical asymptotes. Extra example for sketching. Optimization problems: fence along the straight river, the closest point. Steps for optimization.

Homeworks and solutions.
1. Do not worry if you are not able to understand the problem, it may be because homework is posted in advance, before the corresponding material was covered in the class. You may try to solve other questions.
2. Homework requires some thinking and deep understanding of material. Keep working!
3. Note that number in square brackets is the maximal number of points for this question, e.g., [2] means that you can get at most 2 points for this problem.
Homework 1. Due Sep 19 3:30pm.  Solutions.
Homework 2. Due Sep 26 3:30pm. Solutions. Problem 1, problem 3, problem 4, problem 5.
Homework 3. Due Oct 3 3:30pm. Solutions. Problem 1 and 2, problem 3, problem 4 may be checked using the Wolfram Alpha, problem 5, problem 6, problem 7, problem 8,9 and 10 , problem 11 and 12
Homework 4. Due Oct 17 3:30pm. Solutions.
Homework 5. Due Oct 24 3:30pm. Extended due Oct 29. Solutions.
Homework 6. Due Oct 31 3:30pm. Some solutions are still missing! Problem 3. Problem 5. Problem 6. General approach to problem 6. Problem 7.
Comments. 1. If you asked to find horizontal asymptotes, you have to consider *both* limits lim_(x->infinity) f(x) AND lim_(x->-infinity) f(x).
2. In related rates problems you have to justify that the critical point you found is a point of absolute maximum or minimum on the appropriate interval.
3. Do not forget to state that the length of the segment of line should be positive. That applied to sides of the triangle, rectangular, box, radius of the circle, etc.
Homework 8. Due Nov 21 3:30pm.
Homework 9. Due Nov 28 3:30pm.

Need help? You may use the following resources:
• All past exams may be found here.
• Math Exam Resources contains solutions to past exams. Remark: syllabus has changed from the previous years. For example, elasticity was defined in a different way before, and methods for overestimate and underestimate for linear approximation may be slightly different.
• Problem Solving Sessions. See poster for more details.
• Office Hours (schedule will change for the exam period) Wed 11:00am-11:50am at LSK303D, Thu 5:10pm-6:00pm at MATX1100, and Fri 11:00-11:50 at LSK303D. LSK 303D is a next room to Math Learning Centre.
• Math Learning Centre (MLC) is located in LSK 301 and 302.
- If you have a quick question, you may use Quick Help Desk in the MLC.
- MLC is also a study area supervised by TAs.
- Got stuck? You can ask a TA for the hint. Note that TAs are not supposed to solve the problems, TAs give hints and help with general framework.
• If you are looking for solutions for the final exams, Math Wiki is very useful.
- Currently Math Wiki has Finals for December 2010 exam and December 2011.
- More solutions will be posted during the term.
- If you are looking for past exams, just open the link :)
• AMS offers free tutoring services.

Side notes:
 Average Average in % Median Deviation Midterm 1 27.21 54.42 28 10.04 Midterm 2 28.82 57.64 28 10.52
Median grade means that half of students did better than this grade and half did worse.
Deviation shows how different the grades are from their average.
Example 1. Everybody get 25 out of 50. Then, average and mean will be 25, and since all grades are the same as the average, deviation is 0.
Example 2. Half of students get 0 out of 50, and half of students got 50 out of 50. Mean and average are 25 (as in example 1), but all grades are far away from the average, so deviation is high.