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Math 121

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UNIVERSITY OF SASKATCHEWAN Department of Mathematics and Statistics COURSE OUTLINE MATH 121.3 (Sections 01 and 03) Course Name: Mathematical Analysis for Business and Economics 2012-2013 Regular Session, Term 1
Instructors & Lectures: First Math 121 lecture: Fri, 7 Sept 2012. Last lecture: Wed, 5 Dec 2012.   Section 01: Prof. Murray R. Bremner, 206 McLean Hall. E-mail: bremner@math.usask.ca Lectures: Monday, Wednesday, Friday: 8.30am to 9.20am. Room: ARTS 143 Section 03: Prof. Artur Sowa, 225 McLean Hall. E-mail: sowa@math.usask.ca Lectures: Monday, Wednesday, Friday: 1.30pm to 2.20pm. Room: ARTS 143

Coordinator: Dr. Lawrence Chang, 236 McLean Hall. E-mail: chang@math.usask.ca Office hours: Please e-mail your instructor or the coordinator to make an appointment at a mutually convenient time. You should e-mail him a day or two in advance and not at the last minute. Lab Schedules: Every student is required to register in either one of the following 4 labs. 1. L01: Thursday, 2.30pm to 3.50pm. Room: ARTS 133 2. L03: Thursday, 4.00pm to 5.20pm. Room: ARTS 133 3. L05: Thursday, 2.30pm to 3.50pm. Room: THORV 271 4. L07: Thursday, 4.00pm to 5.20pm. Room: ARTS 134 First lab: Thursday 13 Sept 2012. Last lab: Thursday 29 November 2012. The lab periods will be devoted to midterm tests and to discussing homework problems. The lab is an essential part of this course. Previous terms have shown that students who skip labs tend not to do well and have a high chance of failing this course. Therefore, you are strongly advised to attend labs. Textbook: Mathematical Analysis for Business and Economics by Schelin and Bange. Customised copies are available in the U. of S. Bookstore. This course will cover Chapters 1 to 6 and part of Chapter 7. Website: To access the course website, go to https://bblearn.usask.ca and log in using your NSID and password. In the blackboard MATH 121 container you will find basic information about your course, the instructors and the labs. Announcements and solutions to tests will be posted on blackboard. Evaluation: There will be two components in your performance evaluation: • There will be 5 midterm tests to be written during lab times and in the lab rooms on: (1) 20 Sept 2012, (2) 4 Oct 2012, (3) 25 Oct 2012, (4) 8 Nov 2012, and (5) 29 Nov 2012 The best 4 of the 5 tests will contribute 40% of the overall grade. You will write the test in the lab room and during the lab time that you have registered for. Important: Do NOT write the test in another lab time slot or another lab room as doing so WILL result in your mark not being entered. • Final examination which will contribute 60% of your overall grade. The time, date and place will be announced later. Note: No books or notes will be allowed on the midterm tests and on the final exam. Calculators will be allowed, but not graphing calculators. Absence Policy: Since we will be considering the best four of your five midterm tests marks, your overall grade will be jeopardised if you do not write at least four midterm tests. Should you miss two or more midterm tests, you must provide verifiable documents, e.g. doctors’ notes, coaches’ letters, etc., for absence approval for ALL the midterm tests that you missed. Subject to approval, the weight of the missed midterm test(s) may be transferred to the final examination.

For example, if you miss two midterm tests and you provide documents for both missed tests, then your midterm tests component will be worth 30% and your final examination will be worth 70%. However, if you miss two midterm tests and you provide a document for only one of the missed tests, then your midterm tests component will be worth 30% but your final examination will still be worth only 60%. If you miss only one midterm test, there is no need to provide any document. Your midterm tests component will still be worth 40% and the final examination will still be worth 60%. Homework: Problems from each section of the text are attached to this course outline. These problems are not to be handed in. Solutions will be discussed during labs. It is very important for you to spend time every week solving these problems. The questions on the tests and the final exam will be very similar to the suggested homework problems. Math Help Centre: The Math Help Centre is part of the University Learning Centre in Room 144 of the Murray Building (Main Library). Its hours of operation will be posted on its website http://www.usask.ca/ulc/academic-help/math-stats-help.

Homework Problems from the textbook: §1.2. Linear Functions: 4, 8, 12, 16, 17, 18, 21, 22, 24, 34, 36, 40, 42, 48. §1.3. Quadratic Functions: 2, 7, 10, 14, 16, 18, 20, 23, 25, 28, 29, 33, 34, 35, 41, 42. §1.4. General Polynomial Functions: 9, 12, 14, 16, 18, 20, 21. §1.5. Rational Functions: 2, 3, 6, 9, 11, 13, 15, 17, 20, 22, 24, 25, 27, 29, 31. §1.6. Function Composition and Inverse Functions: 1, 2, 4, 8, 10, 11, 14, 17, 18, 21, 23, 25, 27, 30, 32, 34, 37, 38, 39, 40, 41, 43, 45, 47. §2.1. Marginal Cost and Marginal Revenue: 11, 15, 25, 27, 31, 34, 37. §2.2. The Limit of a Function: 1, 8, 9, 14, 17, 24, 27, 35, §2.3. Limits Involving Infinity and One-Sided Limits: 5, 9, 13, 19, 25, 29, 36, 38, 41, 46. §2.4. Continuity: 1, 5, 7, 9, 13, 21, 25, 29, 32. §3.1. The Derivative: 3, 9, 11, 12, 13, 17, 19, 20, 25, 29, 38, 39. §3.2. Basic Rules of Differentiation: 3, 4, 7, 11, 13, 14, 19, 23, 27, 31, 33, 36, 37, 40, 45, 47, 49, 52, 53. §3.3. The Chain Rule: 1, 2, 6, 7, 12, 13, 15, 19, 21, 25, 27, 29, 33, 34, 37, 38, 41. §3.4. The Product and Quotient Rules: 3, 6, 9, 11, 13, 14, 17, 19, 23, 28, 30, 33, 35, 37, 45, 47, 49. §3.5. Increasing and Decreasing Functions: 3, 6, 7, 8, 12, 13, 17, 19, 23, 27, 33, 36, 41, 42, 43, 45. §3.6. Concavity and Derivatives of Higher Order: 3, 8, 11, 13, 17, 19, 21, 24, 27, 31, 32, 35, 39, 41, 43. §4.1. Exponential Growth and Decay: 1, 4, 5, 12, 15, 17, 19, 23, 25, 28, 31, 35, 37, 40, 41. §4.2. Compound Interest and the Base e: 1, 5, 9, 13, 15, 17, 19, 21, 23, 28, 30, 33. §4.3. Logarithms: 1, 4, 5, 8, 9, 11, 12, 15, 17, 21, 23, 25, 27, 31, 35, 40, 41, 45, 49, 50. §4.4. Derivatives of Logarithmic and Exponential Functions: 1, 4, 5, 6, 7, 9, 10, 12, 15, 16, 17, 23, 24, 25, 27, 31, 34, 35, 37, 39, 41, 44, 47, 49, 53, 55. §4.5. More Exponential Models: 1, 5, 8, 9, 15, 17, 19, 21, 23. §5.1. Relative Maximum and Minimum Values of a Function: 1, 3, 5, 9, 15, 18, 22, 25, 29, 31, 33, 36, 39. §5.2. Absolute Extreme Values: 1, 3, 7, 10, 13, 15, 18, 19, 21, 25, 27, 29, 31, 33, 37, 39, 45. §5.3. The First Derivative Test: 1, 3, 8, 11, 15, 16, 19, 25, 28, 29, 33, 37, 41, 43, 51, 53, 55, 57. §5.4. The Second Derivative Test: 1, 3, 8, 11, 15, 16, 19, 25, 29, 33, 34, 37, 38, 40. §5.5. Graphing Functions: 3, 7, 11, 13, 15, 17, 21, 23. §5.6. More Applied Maxima and Minima: 1, 4, 7, 10, 11, 13, 15, 17, 19, 23, 25, 26. §5.7. Differentials: 1, 3, 7, 11, 14, 15, 18, 21, 25, 29, 31, 36, 37, 41, 43, 47, 49. §5.8. Elasticity: 1, 5, 9, 11, 15, 17, 19, 23, 33, 35, 37, 39, 41, 43, 49, 50.

§6.1. Antiderivatives: 1–30, 31, 33, 34, 39, 43. §6.2. The Definite Integral: 1, 5, 10, 13, 14, 16, 18, 21, 24, 25, 29, 31, 32, 37, 38, 42, 43. §6.3. Area: 1, 3, 4, 7, 10, 14, 16, 17, 19, 23, 25, 27. §6.4. The Method of Substitution: Try most of the problems including 55, 60 and 62. §6.5. Applications of the Definite Integral: 1, 3, 5, 9, 10, 11, 28, 30, 33. §7.2. Further Topics in Integration: 2, 3, 4, 7, 8, 9, 15, 17, 19, 21, 23, 25.

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