Math 260, Pre-Calculus Spring 2010 Pierce College Mc Gann M Text: Pre-Calculus with Unit Circle Trigonometry, 4th Edition, David Cohen Room: 1416 Days: Mondays, Wednesdays Time: 4:00 pm to 6:30 pm Course Description: Develops properties of the elementary functions, including exponential, logarithmic and trigonometric functions. Graphing is stressed. Elements of analytic geometry including conic sections and sequences and series are developed. Student Learning Outcomes: Upon successful completion of Pre-calculus (Math 260) the student will be able to: 1) Choose the appropriate basic function (e.g. linear, exponential, trigonometric, power, etc.) to model an applied situation and find the formula for that function. 2) Given functions f(x), g(x), (defined by a formula, graph, table, and/or applied situation), evaluate and interpret the expressions f(x + k), f(x) + k, kf(x), f(kx), and f(g(x)). SLOs for this course will be assessed with a department wide course assessment tool developed by the Math SLO faculty team assigned to the course. Attendance Policy: This is a difficult class. Attendance at every session is essential for success. Arrive on time and be present through the duration of class. Homework: Homework assignments will be given on a regular basis. You are responsible for completing these assignments in a timely manner. Participation in class is essential. Grades: Grades are based on Chapter tests, quizzes, and a final exam. There will be five exams, each worth 15%. You may elect to drop or not take one exam (except the final). Quizzes 15% and the final exam is worth 25%. Note: There will be no make up exams or quizzes. Calculators: A graphing calculator is highly recommended. You may use a graphing calculator, but work must be shown by hand as done in class. Cell phone calculators will not be permitted on quizzes, exams and the final. It may be possible to rent a TI - 83 from the Math department. Office hours: My office hours are from 3:00 pm to 4:00 pm in the room 1416 or by appointment. My phone number is ------------------- and my e-mail is mcgannm@lamission.edu. My website can be accessed at lamission.edu~mcgannm. Important Dates: Feb. 12 to Feb. 15, President’s Day College closed Note: Feb. 16 is not a school day Spring break – March 29 to April 5, 2010 Cesar Chavez Holiday – March 31, 2010, College closed Last day to drop with a “w” – May 7, 2010 Classes end – May 29, 2010 Memorial Day – May 21, 2010, College closed Final Exam – The following is a tentative schedule and may be adjusted as needed. Topics to be Covered Sections from Text Equations of Lines Chapter 1, Section 1.6 Quadratic Equations Chapter 2 Inequalities Sections 2.1, 2.2, 2.3, 2.4 ; Quiz #1 Dates Taught Feb. 8, 10, Functions Graphing Chapter 3 Sections 3.1, 3.2, 3.3, 3.4, 3.5, and 3.6 Inverse Functions Test #1 Average Rate of Change Applications of Quadratic Functions Maximum and Minimum Problems Chapter 4 Sections 4.2, 4.5, 4.6, 4.7 Polynomial Functions Quiz #2 Feb. 17, 22 Feb. 24 March 1, 3 Rational Functions Exponential Functions Logarithmic Functions Inequalities Compound Interest Exponential Growth Chapter 5 Sections 5.1, 5.2, 5.3, 5.4, 5.5, 5.6 and 5.7 Test #2 Spring Break March 29 – April 5 March 8, 10, 15, 17, Chapter 6 Sections 6.1, 6.2, 6.3, 6.4, 6.5 Trigonometric Functions March 22, 24 Radian Measure Quiz #3 Functions of Angles Right triangle Trigonometry Graphs of Trigonometric Functions Chapter 7 Graphs of Sine and Cosine Sections 7.1, 7.2, 7.3, and 7.5 April 7, 12, 14 Graphs of Tangent and Reciprocal Functions Test #3 April 19, 21, 26 Analytical Trigonometry Chapter 8 Sections 8.1, 8.2, 8.3, 8.4, and 8.5 Addition Formulas Double angle Formulas Inverse Trigonometric Functions Quiz #4 Law of Sines and Law of Cosines Chapter 9 Section 9.2, 9.6 April 28 May 3, 5 Introduction to Polar Coordinates Test #4 Chapter 11 Sections 11.2, 11.4, 11.5 Conic Sections May 5, 10 Parabola Quiz #5 Ellipse Hyperbola Sequences and Series Chapter 13 Sections 13.3, 13.4, and 13.5 May 12, 17, 19 Arithmetic Sequence and Series Geometric Sequences and Series Test #5 Review for Final May 24, 26 Final Exam June 2 Homework Assignments: Chapter 1: Section 1.6 Page 52 15 – 35 odd, 39, 49 Chapter 2: Section 2.1 Section 2.2 Section 2.3 Section 2.4 Page 88 Page 100 Page 110 Page 119 5, 7, 9, 21, 29, 31, 37, 41, 43, 45, 49 1 – 9 odd, 15 – 58 divisible by 3, 61 – 71 odd 1 – 21 odd 1 – 60 divisible by 3 Chapter 3: Section 3.1 Section 3.2 Section 3.3 Section 3.4 Section 3.5 Section 3.6 Page 140 Page 153 Page 166 Page 178 Page 189 Page 203 5, 6, 7, 9 – 25 odd, 29, 37, 55, 57 1 – 14 all, 15, 17, 23, 25, 27, 33, 35 3 – 6 all, 9 – 15 odd, 21, 23, 25, 27, 41, 43 3 – 39 odd 9 – 15 odd, 23, 27 3, 7, 9 – 17 odd, 25, 27, 43, 45 Chapter 4: Section 4.2 Section 4.5 Section 4.6 Section 4.7 Page 239 Page 280 Page 299 Page 313 5 – 29 odd, 57 – 62 all 1 – 17 odd, 23, 27, 31 5 – 15 odd, 17, 19, 27 – 39 odd 1 – 7 part a) odd, 9 – 29 odd, 37, 39, 41 Chapter 5: Section 5.1 Section 5.2 Section 5.3 Section 5.4 Section 5.5 Section 5.6 Section 5.7 Page 334 Page 342 Page 356 Page 368 Page 380 Page 391 Page 405 3 – 41 odd, 45, 47 11 – 19 odd, 21 1 – 4 all, 9, 11, 15, 17, 19, 21, 25, 33 – 39 part b). 1 – 19 odd, 23, 25, 27 – 35 odd, 41, 43, 45, 63 1 – 43 odd, 75 1 – 11 odd 1 – 4 all Chapter 6: Section 6.1 Section 6.2 Section 6.3 Section 6.4 Section 6.5 Page 432 Page 446 Page 455 Page 467 Page 478 1 – 11 odd, 17, 19, 21, 27 1 – 21 odd, 23, 25, 27, 29, 59 – 73 odd 7 – 21 odd, 27, 29 1 – 17 odd, 19 – 31 odd, 39, 41, 45, 47, 53, 61 1 – 11 odd, 13, 15, 21, 25, 27, 35 Chapter 7: Section 7.1 Section 7.2 Section 7.3 Section 7.5 Page 505 Page 519 Page 533 Page 555 1 – 9 odd, 43, 45, 47, 49 1 – 7 odd 13 – 29 odd 1 – 11odd Chapter 8: Section 8.1 Section 8.2 Section 8.3 Section 8.4 Section 8.5 Page 570 Page 581 Page 589 Page 602 Page 618 1 – 9 odd, 11, 13, 25, 29, 35, 43, 49 – 57 odd 1 – 7 odd, 9, 11, 17 – 23 odd, 25, 27, 35, 37 1 – 37 odd 1 – 21 odd, 53 – 71 odd 1 – 19 odd, 25 – 33 odd, 47, 49 Chapter 9: Section 9.2 Section 9.6 Page 659 Page 708 19 – 23 all 1 – 29 odd Chapter 11: Section 11.2 Section 11.4 Section 11.5 Page 835 Page 851 Page 864 1 21 odd, 29, 31, 33 1- 23 odd, 25 – 35 odd 1 – 23 odd, 27, 29, 31 Chapter 13: Section 13.3 Section 13.4 Section 13.4 Page 996 Page 1004 Page 1014 1 – 21 odd, 41 – 51 odd 1 – 21 odd 1 – 21 odd