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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

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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