Syllabus for Mathematics 103 Fall Semester 2008 Textbook: Algebra & Trigonometry, 8th Edition by Sullivan Calculator: A graphing calculator is REQUIRED. We recommend the TI-84. (Note that your instructor will be using a TI-84 or a TI-86.) Prerequisites: One year geometry, two years algebra, and a qualifying score on the UNL Math Placement Exam dated after October 2007. Students with a previous UNL math course need permission from the Department of Mathematics before registering for this course. The Department of Mathematics will automatically drop any students who do not satisfy this policy (see Math Placement Policy in the Mathematics section of the Schedule of Classes). Note: You cannot earn credit for both Math 103 and either Math 101 or Math 102. Math Placement Exam Dates: A picture ID will be required and calculators are allowed at the exam EXCEPT calculators which have symbolic manipulation functions, such as the TI-89 and TI-92. August 25th (Monday) – August 29th (Friday) 9:00A.M.-4:00P.M. 127 Burnett Hall Consider: The Mathematics Resource Center in 13B Avery Hall offers free tutorial assistance. Hours are 12:30-8:30P.M. Monday – Thursday, 12:30-2:30P.M. Friday and 1:00-5:00P.M. Sunday - Goals for Math 103 - I Students should be proficient in using different representations for functions (symbolic, numeric, graphic, and verbal) and in employing two or more simultaneously to investigate a function's characteristics. II Students should be proficient in using standard functions (polynomial, exponential, logarithmic, trigonometric, and inverse trigonometric), and understand their periodic and asymptotic behaviors. III Students should be proficient in investigating graphs of functions and to confirm algebraic and numeric calculations. IV Students should be able to communicate mathematics. They should be able to carry out the direction "Explain your answer" by using mathematical concepts in complete sentences using correct grammar. V Students should be able to learn both individually and in small groups. VI The course should balance the acquirement of skills and the acquirement of understanding. Date Content Sec Pg Exercises 8.25 M Linear Equations 1.1 86 1-3, 7-15 (odd), 19, 25, 31, 37, 43, 49, 55, 61, 89 8.26 T Quadratic Functions 1.2 97 1-4, 11, 19, 27, 33, 36, 39, 42, 45, 49, 57, 65, 125 8.27 W Radical Equations; Equations Quadratic in Form; Factorable Equations 1.4 118 1-3, 7-11, 20, 32, 35, 42, 45, 62, 72, 81 8.28 R Solving Inequalities 1.5 124 53-63 (odd), 77-87 (odd), 113 8.29 F Equations and Inequalities Involving Absolute Value 1.6 135 9-61 (by four), 68, 70, 94 9.1 M Labor Day---NO CLASS 9.2 T The Distance and Midpoint Formulas 2.1 156 11, 14, 20-28 (even), 29-33 (odd), 37-43 (odd), 54, 59 9.3 W Graphs of Equations 2.2 163 11-16, 29, 36, 60, 64, 88 9.4 R Lines 2.3 173 15-30 (odd), 45-57 (odd), 71-78, 118, 119,121 9.5 F Lines 2.3 173 57-70, 103-106 2 September (Tuesday): last day to drop the course and receive a 100% refund. 5 September (Friday): last day to drop a course and receive a 75% refund and the last day to drop a course so it will not appear on your record. 6 September – 14 November: All course withdraws denoted by a ‘W’ on academic record. 17 October (Friday): last day to change a course registration to or from ‘Pass/No Pass’. 14 November (Friday): Last day to withdraw from classes.Date Content Sec Pg Exercises 9.8 M Circles 2.4 189 11-33 (odd) 9.9 T Systems of Linear Equations 12.1 836 17-35 (odd), 64 9.10 W Functions 3.1 208 15-18, 39, 40, 41, 45, 47, 49, 93, 94 9.11 R Catch-up/Review 9.12 F Exam 1 9.15 M The Graph of a Function 3.2 222 11-22, 24, 34, 41 Properties of Functions 3.3 231 21-27 (odd), 57-61(odd), 63 9.16 T Library of Functions; Piecewise-defined Functions 3.4 242 29-37 (odd), 47 9.17 W Graphing Techniques: Transformations 3.5 252 7-18, 19-25 (odd), 51, 54, 89 9.18 R Quadratic Functions Quadratic Models 4.3 4.4 293 305 11-18, 19-52(odd) 3, 5, 8, 9 9.19 F Polynomial Functions 5.1 324 12, 15, 21, 29, 30, 36, 38, 41, 45-55 (odd), 101 9.22 M Rational Functions I 5.2 344 11-21 (odd), 41-49 (odd), 54 9.23 T Rational Functions II 5.3 355 7-43 (by four), 55 9.24 W Polynomial and Rational Inequalities 5.4 369 3-39 (by four), 51 9.25 R The Real Zeros of a Polynomial Function 5.5 375 21, 28, 34, 38, 40, 41, 45, 49, 53, 60, 62, 91, 92, 112 9.26 F Composite Functions 6.1 402 11-16, 35, 37, 40, 65, 66 9.29 M Inverse Functions 6.2 409 9-22, 33, 36, 48, 50, 51, 55, 90, 91 9.30 T Exponential Functions 6.3 423 22, 27, 49-56, 57-65 (odd) 10.1 W Catch up / Review 10.2 R Catch up / Review 10.3 F Exam 2 10.6 M Group Project Assigned Logarithmic Functions 6.4 437 9-15 (odd), 17 – 24, 25-48 (0dd), 131 10.7 T Properties of Logarithms 6.5 450 7-47 (by four), 56, 58 10.8 W Logarithmic and Exponential Equations 6.6 459 5-29 (by four) 10.9 R Compound Interest 6.7 465 3-12, 13- 21 (0dd), 46-49 10.10 F Exponential Growth and Decay 6.8 475 4-24 (by four) 10.13 M Angles and Their Measure 7.1 504 4-64 (by four), 105, 111 10.14 T Right Triangle Trigonometry 7.2 517 21-53 (odd), 67 10.15 W Computing the Values of Trigonometric Functions of Acute Angles 7.3 529 18-28 (even), 54 10.16 R Trigonometric Functions of General Angles 7.4 540 21-93 (by four), 117 10.17 F Unit Circle Approach 7.5 550 15-59 (by four), 67-72, 84-88 17 October 2008 (Friday): last day to change to or from Pass/No Pass 10.20 M Fall Break---NO CLASS 10.21 T Fall Break---NO CLASS 10.22 W Catch up / Review 10.23 R Catch up / Review 10.24 F Exam 3 10.27 M Graphs of Sine and Cosine Functions 7.6 560 19-28 (even), 43-53 (odd), 73, 75, 77, 96 10.28 T Graphs of Other Trigonometric Functions 7.7 574 7-10, 25, 30, 35, 49 10.29 W Inverse Trigonometric Functions 8.1 602 13-24, 37-44 8.2 614 18, 19, 22, 23, 29, 38, 43 10.30 R Catch up / Review 10.31 F Gateway ExamDate Content Sec Pg Exercises 11.3 M Trigonometric Identities 8.3 620 9-48 (by three) 11.4 T Trigonometric Identities 8.3 620 50-85 (by five) 11.5 W Sum and Difference Formulas 8.4 627 9-19 (odd), 21-24, 56-66 (even) 11.6 R Double-angle and Half-angle Formulas 8.5 637 9-29 (odd), 48-50 (even) 11.7 F Product-to-Sum and Sum-to-Product Formulas 8.6 646 19-31 (odd) 11.10 M Trigonometric Equations I 8.7 649 7-29 (odd) 11.11 T Trigonometric Equations II