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62:150 Precalculus Winter 2009 Location: Room 1-53 Brodie Science Building Monday, Wednesday, Friday 9:30 a.m.-10:20 a.m., Slot 2 Instructor: Office: Phone: E-mail: Kathleen Nichol Room 2-11 Brodie Science Building 727-9691 (work), 725-0952 (home) [email protected] Textbook: Precalculus - Mathematics for Calculus, Fifth Edition by James Stewart, Lothar Redlin and Saleem Watson Course Objectives: Algebra and trigonometry, the backbones of a pre-calculus course, are two of the most useful subjects you will every study. They can be used to solve applied problems that arise in almost every field. If you are interested in business, architecture, medicine, law, physics, biology, chemistry, agriculture, forestry, or journalism, you will find algebra and trigonometry useful problem-solving tools. This course is an intense overview of mathematical topics which are important for understanding calculus at the university level. It emphasizes the mathematic concepts and techniques which form the foundation of calculus. By helping students to improve their understanding of these basic ideas, we hope that they will be better able to make a smooth transition to university level calculus. By the end of this course, we hope to bridge the gap between what you know and what you need to know to successfully complete Calculus I. From the table of contents, we will cover the following sections: Chapter Chapter Chapter Chapter Chapter Chapter Chapter Chapter Chapter Chapter 1. 2. 3. 4. 6. 5. 7. 9. 10. 11. Fundamentals – 1.1, 1.2, 1.3, 1.4, 1.5, 1.6, 1.7, 1.8, 1.10, 1.11 Functions – 2.1, 2.2, 2.3, 2.4, 2.5, 2.6, 2.7, 2.8 Polynomial and Rational Functions – 3.1, 3.2, 3.3, 3.4, 3.6 Exponential and Logarithmic Functions – 4.1, 4.2, 4.3, 4.4, 4.5 Trigonometric Functions of Angles – 6.1, 6.2, 6.3, 6.4, 6.5, 6.6 Trigonometric Functions of Real Numbers – 5.1, 5.2, 5.3, 5.4 Analytic Trigonometric – 7.1, 7.2, 7.3, 7.4, 7.5 Systems of Equations and Inequalities – 9.1, 9.2, 9.3, 9.9 Analytic Geometry – 10.1, 10.2, 10.3, 10.4 Sequences and Series – 11.1, 11.2, 11.3, 11.4, 11.5, 11.6 Lab: There will be a mandatory lab once every week. We will agree on a time and place. You will be work on the quizzes and write the tests in this time period. The quizzes are assignments to be worked on and handed in during the lab period. The tests are closed book tests. Expectations: 1. Keep up with assignments. 2. Ask questions. Before or after class. At the office. From the Math Centre. In lab. It is there for you, so please make use of it. 3. This is a demanding course, but you can do it, with diligent work. 4. You will see the beauty of the math if you keep on top of it. 5. Don’t rely on memorization to learn math – understand. 6. Consider math a foreign language – it must be practiced. Marking Scheme: Quizzes: best 3 out of 4 quizzes Tests: best 3 out of 4 tests Final Exam: Letter Grades: A+ A B+ B C+ C D F = 15% = 35% = 50% 100% = 90 – 100% = 80 – 89.9% = 76 – 79.9% = 70 – 75.9% = 66 – 69.9% = 60 – 65.9% = 50 – 59.9% = 0 – 49.9% Departmental Rule: Less than 45% on the final exam is an automatic F for the course. Tentative Pace: Chapter 1 – about 3 to 4 weeks Chapters 2 to 7 and 9 to 11 – about one chapter per week. Pretest: In the first lab you will write a pretest to ensure that this is the best course for you. Tentative Progress Rate Chapter Topic Finishing Date Chapter 1 Review January 30 Chapter 2 Functions February 6 Chapter 3 Polynomial Functions February 23 Chapter 4 Exponents and Logarithms March 6 Chapter 6 Chapter 5 Triangle Trigonometry Trig Graphs Chapter 7 Systems of Equations and Inequalities Chapter 10 Conics Chapter 11 Sequences and Series Extra Probability if time Final Exam Quiz 2, February 3 Test 2, February 10 Quiz 3, March 3 Test 3, March 10 March 13 March 16 Trig Functions, Identities, March 28 Equations Chapter 9 Quiz/Test Schedule Quiz 1, January 13 Test 1, January 20 April 2 Quiz 4, March 24 Test 4, March 31 April 7 April 11 April 11 Monday, April 13, 2:00 p.m.- 5:00 p.m.