MATH 1111 COLLEGE ALGEBRA Tentative Spring 2009 PURPOSE: Algebraic notation and reasoning lie at the heart of modern discourse in science, social science, and commerce. This course serves the general student by ensuring that the student knows the language that is used in this discourse. Further, this course provides technically oriented students with tools that are needed to progress in their chosen area of study. Finally, this course assists all students with the important tasks of developing analytical and problem solving skills. PLACEMENT: Since College Algebra serves many students as their introduction to college level mathematics, some care must be taken that students are appropriately prepared to take College Algebra. In particular, if you fall into any of the following categories, you should consider completing MATH 0099 before taking College Algebra 1. The student did not complete two years of algebra and a year of geometry in high school. 2. Five or more years have elapsed since the student completed a mathematics course. INSTRUCTOR: OFFICE: Carolyn G. Smith, Assistant Professor of Mathematics University Hall, 287 OFFICE HOURS: M,W, F 10:00 – 10:50 a.m. M 12:00 – 12:50 p.m. W 2:50 – 3:40 p.m. TELEPHONE: 344-2929 E-mail: Carolyn.Smith@armstrong.edu OR BY APPOINTMENT TEXTBOOK: Algebra and Trigonometry 2nd edition, by Stewart, Redlin, and Watson ATTENDANCE: Nearly perfect class attendance is essential for anyone who anticipates successfully completing this course. If you miss a class, you are still responsible for any material covered or assignments made in that class. Attendance will be recorded. Absence from class could cause you to be withdrawn from the class. Visitors to class are not permitted. Only students identified on the official class roll may attend class. Cellular phones, beepers, alarming watches, and all electronic devices should be turned off during class. CALCULATORS: A scientific calculator is required for this class. If you have a graphing calculator, you will not be allowed to use it on certain parts of graded assignments but most of the time it is fine. WORKLOAD: Since this is a 3 credit hour class, students should expect to spend at least six hours outside of class each week on this material. Ideally, you should work math problems every day even though they are assigned only on class days. You are permitted, and even encouraged, to work together on homework assignments from the textbook. DISABILITIES If you have a physical or learning disability, contact Disability Services at 344-5271. HONOR CODE: Each student signed a statement agreeing to abide by the AASU 2 Honor Code on the application for admission to the University. Students should consult the current AASU Catalog for details on the Honor Code. An Honor Code statement will appear on each graded assignment. TESTS: Four tests worth 100 points each will be given (See dates below.). Attendance for tests is mandatory. No make-up tests will be given. If you miss one test due to an emergency, you must provide me with a written excuse on the first day you return to class in order for your final exam score to be recorded for the missing grade; otherwise, you will have a zero for the missed test. M-W-F Class You may also be tested with announced quizzes or outside of class assignments that are graded. The point values of these other graded assignments will be on the assignment. Test 1 (10th day of class) Test 2 (20th day of class) Test 3 34th day of class) Test 4 (45th day of class) Comprehensive FINAL EXAM M-W Class You will also be tested with announced quizzes and/or outside of class assignments that are graded. The point values of these other graded assignments will be on the assignment. Test 1 (10th day Wednesday, February 4, 2009 Friday, February 27, 2009 Wednesday, April 18, 2009 Monday, May 4, 2009 Friday, May 8, 2008 8:00 a.m.-10:30 a.m. of class) Test 2 (20th day of class) Test 3 (30th day of class) Comprehensive FINAL EXAM Monday, February 16, 2009 Monday, March 30, 2009 Monday, May 4, 2009 Wednesday, May 6, 2009 2:00 p.m.-4:30 p.m. Unannounced, you may also be asked to hand in selected homework problems for me to evaluate. COURSE GRADE: The Comprehensive Final Exam will count as one-fifth or 20% of your course grade (average) while your class work average will carry a weight of 80%. Your class work average is determined by dividing the total points you earn by the total points possible. You can use the following formula to calculate your course average: Course Grade (Average) = 0.80(class work average) + 0.20(final exam score) GRADING SCALE: 90% –100% 80% – 89% 70% – 79% 60% – 69% Below 60% A B C D F POLICY ON W's: Our intention is that you will complete the course successfully. 3 However, if you need to withdraw from the course, it is very important to withdraw by the mid-term date of March 4, 2009 to receive a grade of W. University policy requires that withdrawal after this date result in a grade of WF. This WF may be appealed if a hospitalization or other major traumatic event prevents you from completing the course. ADDITIONAL HELP: Remember that if you need additional help I am available during my office hours. In addition, we have a broad range of other resources available to help you. There is an on-line tutorial for MATH 1111 located at www.math.armstrong.edu The Mathematics Tutorial Center in room 206 of Solms Hall provides free "walk-in" tutorial help. A series of 30-minute video lectures, one for each section of your textbook, is available in Media Services on the first floor of Lane Library for viewing. The library also has one copy that can be checked out. Check with the Office of Adult Academic Support Success (344-2935) second floor in Victor Hall for tutorial help. SUGGESTED HOMEWORK: These problems are good problems to practice on before the next class period. If you have questions on the problems I will go over them at the beginning of class or during office hours. The answers to all odd numbered problems are in the back of the book. Section 1.1 Basic Equations 1.2 Modeling with Equations Reading pp. 72-78 pp. 80-88 Exercises to do for Practice p. 78 (19, 23, 25, 27, 29, 33, 35, 41, 45, 49, 55, 57, 61, 67, 69, 75, 79, 81-85 odd, 87, 89) To prepare for 1.1 you may want to review the following: Read pp. 10-14 Read pp. 23 p. 27 (3, 25) Read pp. 29-30 p. 33 (1-11 odd, 13b, 15a, 51) p. 88 (1-9odd, 13, 15, 17, 20, 21, 27, 29, 31) (23, 25, 33, 35, 40, 41, 45-51 odd, 53) To prepare for 1.2 you may want to review the following: Read pp.2-7 p. 8 (7-33odd, 37, 39a&b, 41a&b) 1 bh , A r 2 , 2 2 2 C 2r , V lwh , d=rt, I=Prt, and a b c 2 Formulas to Know: A lw, P 2l 2w , A 1.3 Quadratic Equations 1.4 Complex Numbers 1.5 Other Types of Equations pp. 94-102 pp. 105-110 pp. 111-117 p. 102 (7, 9, 15, 21, 23, 29, 35, 41, 43, 47, 57, 59, 65-69odd, 75, 79, 83, 87, 89) To prepare for 1.3 you may want to review the following: Read pp. 32-33 p. 34 (61, 63) Read pp. 36-39 p. 39 (25, 29,33, 45) Read pp. 42-46 p. 47 (31-47odd) p. 110 (11, 15, 19, 23-27 odd, 31, 39-43 odd, 55-59 odd) p. 118 (3,5, 9, 11, 15, 19, 23-27 odd, 33, 41, 43, 47, 53, 57, 59, 70, 73) To prepare for 1.5 you may want to review the following: Review Factoring p. 47 (49-69 odd) 1.6 Inequalities pp. 120-128 p. 128 (11, 15, 17, 23, 29, 73, 76) (33, 41-45 odd, 51, 55, 61) 1.7 Absolute Value Eqs. and Inequalities 2.1 The Coordinate plane 2.2 Graphs of Eqs. in Two Variables 2.4 Lines pp. 131-133 To prepare for 1.6 you may want to review the following: Read pp.15-17 p. 19 (35, 39, 41-59 odd) p. 133 (9, 13, 21, 23, 27, 31, 37, 45, 47-51 odd) pp. 146-149 p. 150 (5, 11, 15, 19-23 odd, 27, 29, 35, 39, 43, 47) pp. 155-161 p. 162 (5-17odd, 23, 29, 35, 37, 51-55 odd, 58, 59, 65, 73, 75) pp. 174-184 2.5 Modeling Variation 10.1 Systems of Equations 10.2 Systems of Linear Equations in Two Variables 10.3 Systems of Linear Equations in Several Variables 3.1 What is a Function? 3.2 Graphs of Equations 3.3 Increasing and Decreasing Function; Average Rate of Change 3.4 Transformations of Functions 3.5 Quadratic Functions; Maxima and Minima 3.6 Combining Functions 3.7 One-to-One Functions and Their Inverses 5.1 Exponential Functions 5.2 Logarithmic Functions 5.3 Laws of Logarithms 5.4 Exponential and Logarithmic Equations 5.5 Modeling with Exponential and Logarithmic Functions 12.1 Sequences and Summation Notation 12.2 Arithmetic Sequences pp. 187-190 p. 184 (5, 7, 11, 13, 17, 19, 21, 25-27, 29, 33) (31, 41, 49, 53, 56a, 61, 62, 65, 71) p. 191 (1-21 odd, 25, 33, 35) pp. 684-689 p. 690 (1-21 odd, 25, 29, 35, 47-49) pp. 692-696 p. 697 (7, 11, 15, 19, 21, 25, 31, 45-48, 53, 55, 56) pp. 699-705 p. 705 (5, 9, 15, 19, 25, 35, 37) pp. 208-214 p. 215 (3, 11, 13, 15, 19-25 odd, 29, 37-43 odd, 51, 55, 59, 67, 71) pp. 218-226 pp. 233-238 p. 227 (3, 7, 11, 15, 23, 25, [by hand: 27, 31, 35], 37, 41, 43, 53, 55, 57, 61, 65, 67) p. 239 (1, 3, 13, 15, 17, 21, 29, 33, 35) pp. 242-249 p. 250 (1-21 odd, 27-47 odd, 53, 61, 63, 65) pp. 253-260 p. 260 (1, 3, 7, 11, 15, 21, 27, 31, 35, 41, 43, 47, 49, 59, 61) pp. 263-268 p. 268 (3, 7, 11, 17-27 odd, 31, 33, 37, 45, 47, 61) pp. 274-279 p. 279 (1-9 odd, 17-23 odd, 31, 37, 45, 49, 51, 53, 65, 68) pp. 376-384 p. 384 (1-37 odd, 39, 65, 67, 75, 79, 81a) pp. 390-397 pp. 400-404 p. 397 (1-33 EOO [every other odd], 35, 37, 41-63 odd, 79, 81, 83) p. 404 (1-11 odd, 13-25 EOO, 31-35 odd, 51, 55, 63) pp. 406-414 p.414 (1-21 EOO, 27-33 odd, 35-51 EOO, 67, 69, 71, 75, 77) pp. 417-427 p. 427 (1, 5, 9, 11, 15-19 odd, 23, 25) pp. 870-878 p. 878 (3, 7, 11, 13, 23, 25, 31, 33, 39, 43, 53, 55, 59, 61, 69, 71, 75) p. 885 (1, 7, 11, 13, 17, 21, 25, 26, 33-39 odd, 45, 53, 57, 59, 61) pp. 881-884 12.3 Geometric Sequences pp. 886-892 p. 892 (3, 7, 9, 11, 17, 19, 23, 27, 33-39 odd, 43, 47, 49, 55, 57, 63, 65, 75)