SYLLABUS. OFFICE AND HOURS: Karnoutsos 536 (Access through K506) M 12, T 1, R 10, 12, 2 or by appointment. I am available by at all times.


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1 SYLLABUS COURSE TITLE: PreCalculus COURSE NUMBER: MATH0165 REFERENCE NUMBER: 1980 PREREQUISITE: MATH0112 Intermediate Algebra or equivalent INSTRUCTOR: Dr. Riggs OFFICE AND HOURS: Karnoutsos 536 (Access through K506) M 12, T 1, R 10, 12, 2 or by appointment. I am available by at all times. TELEPHONE NUMBER: (201) ADDRESS: rriggs@njcu.edu. FACULTY PAGE: Catalog Description Selected topics from algebra, polynomial and rational functions, exponential and logarithmic functions, and trigonometry are chosen to provide a suitable background for Calculus I. 3 credits Prerequisite: Ma 112 or equivalent. Goals Students will: Procedures A. Review and practice algebraic skills. B. Interpret functions from their graphs. C. Explain and illustrate how graphs are used. D. Apply a knowledge of trigonometry. E. Employ techniques that prepare them for higher mathematic. F. Solve problems using graphing calculators and computers. G. Examine simple mathematical concepts and describe them in writing. A. Lecture/Discussion B. Classroom computer and graphing calculator demonstrations. C. Handson classwork with graphing calculators or computer programs. D. Video presentations and written review of some of the videos. E. Daily homework assignments and required reading in the text, with some written explanations of the concepts and the logic used and inclass discussion of explanations and solutions. Course Content A. Fundamental Concepts 1. Real Numbers, Intervals, Inequalities and Absolute Values (Review) 2. Solving Equations and Inequalities (Review) 3. Distance Formula (TwoDimensions) and Circles 4. Symmetry and Graphs 5. Quadratic and Rational Inequalities B. Functions 1
2 1. Mappings and Definition of a Function 2. Written and Oral Discussions about Mapping and Functions 3. Functional Notation 4. Domain and Range of a Function 5. Graph of a Function 6. Written and Oral Discussion of Graphs in our Technological World 7. Composite and Inverse Functions C. Types of Functions 1. Linear Functions and Slope, Parallel and Perpendicular Lines, Equations of a Line 2. Quadratic Functions 3. Polynomial Functions 4. Rational Functions D. Exponential and Logarithmic Functions 1. Evaluating and Graphing Exponential Functions 2. Solving Equations in Exponential Form 3. Written and oral discussion of exponential growth with respect to populations and epidemics 4. Definition of Logarithmic Function 5. Properties of Logarithms 6. Solving Logarithmic Equations 7. e and Natural Logarithmic Functions E. Trigonometric 1. Angles and the Unit Circles 2. Radian and Degree measure 3. Unit Circle Definitions of the Trig Functions 4. Right triangle Definitions of the Trig Functions 5. Evaluating Trig Functions 6. Graphs of Trig Functions 7. Inverse Trig Functions F. Analytic Trigonometric 1. Solving Trig Equations 2. Fundamental Identities 3. Verifying Trig Identities 4. Sum, Difference, Double Angle, Half Angle, Trig Identities 5. Law of Sines and Law of Cosines Required Text: Cohen, David, PreCalculus, 6th Ed., Brooks/Cole, Belmont, CA, (Student Solution's Manual to accompany Cohen is also required) Required Calculator: TI 83/TI 84 Series. If you own another model like the TI85 etc. you do not have to buy a new one but I will only instruct for the 83 series. A simple scientific calculator will not work for this course. Required Readings: The course will cover all or parts of Chapters 19. Sections 4.3, 7.2, 7.6, and 8.3 will be omitted. Only 9.1 from chapter 9 will be included. Course Calendar/Deadline Dates:: 2
3 Lessons will be available at all times. Just click on the item. You should work on many of the homework problems but they will not be collected or graded. Each chapter quiz may be taken twice. The higher grade will be counted. When you submit a quiz the multiple choice questions will be graded immediately but I will have to see the others and grade them myself. I will try to do this every day so as not to delay you. You will be able to see your grade and my comments to your first try before the second try. To see your graded paper go to Assessments, the particular quiz, view submission, and click on the attempt number. THERE ARE MANY PLACES IN THE COURSE WHERE YOU MUST CLICK ON THE LITTLE SYMBOL THAT LOOKS LIKE A CHECKMARK WITH SOME LINES UNDER IT IN ORDER TO SEE A DROP DOWN MENU OF CHOICES. In fact, that is how you will see the choice view submission. At the end of the course I will assign letter grades for all this activity and compute your final grade using the percents shown below. I have selected problems from each section which I consider to reflect what I hope you are learning. I will not collect this homework but you should definitely do the problems and ask about what you don t understand. The answers can all be found in the back of your text. Just click on homework on the navigation panel or the homepage. Step by step solutions are in your student solutions manual. Chapter tests (quizzes) will be available to you on these dates: CH1 1/272/2, CH2 2/612, CH3 2/1723, CH4 2/283/9, CH5 3/1420, CH6 3/274/2, CH7 4/915, CH89 4/ To obtain these tests click on Assessments and then on the particular quiz. Note: The Law of Cosines from 9.1 will be on the Chapter 8 quiz. These dates are all on your quizzes page. They may be on your calendar but don t depend on it. You must also take 3 cumulative tests. Some may be given only on campus if I suspect that students are not doing their own work. The first will cover chapters 13. The second will cover chapters 45. The third will cover chapters 68 as well as 9.1. All quizzes and tests will be open book and open notes even if given on campus. You may be asked to show your student ID card for an on campus test. The dates for these tests are CH13 3/28, CH45 3/294/4, CH68 4/295/5. The project on a math application from your text (see page ix for choices) is due 4/15/10. An expository paper on your experiences in this course or with your mathematics education in general is due 3/1/10. Continue to check your for more details. Also read the information below. You should LOG ON TO YOUR COURSE EVERY DAY so as not to miss any important mail or announcements. Be sure to add some comments in Discussions and ask your questions through . Check My Grades for your progress.. Dr. Riggs reserves the right to change dates and the requirements for the course. Evaluations Also see ground rules below and previous evaluation section Cumulative Tests (drop one) 44% of grade 2. Online Chapter Quizzes 35% of grade 3. 1 Paper 8% of grade 4. 1 Project 8% of grade Grading/Grading Criteria Letter Grades: At the end of the course the scores for Chapter Quizzes will be added up and a letter grade assigned. Similarly the scores for Cumulative Tests will be added up and a letter grade assigned. A letter grade will be assigned to the Project and one to the Paper. These grades are all scaled. That is, the scores are sorted and letter grades are assigned based on the performance of the class and the instructor's perception of the difficulty levels. The mapping of number correct to letter grade may not be quite the same for Chapter Quizzes as for Cumulative Tests. Other components of your final grade will be assigned a letter grade based on your activity. 3
4 Required Paper: You will write one 35 page paper on your experiences with this course or with your mathematics education in particular. You will be graded on correct English, logical presentation, and perceptiveness of comments. The paper must be a word document, size 12 font, doublespaced, with 1 margins. I will some tips on the paper. Be sure to save them. Project: You may pick any project from page ix of your text to do. If you have a way to type math symbols that would be great. If not you can write them by hand and leave the finished project at my office or you can scan it and it to me. The paper will be graded on correct mathematics, completeness, and clarity of your solutions. For determining the final grade each letter grade from the above is converted to a number on a 14 point scale as follows: A+ = 14, A = 13, A = 12, B+ = 11, B = 10, B = 9, C+ = 8, C = 7, C = 6, D = 4, F = 0. These numbers are averaged according to the weights given in the evaluation section above. Letter grades for the course are assigned based on the following mapping. A [ ] C+ [ ) A [ ) C [ ) B+ [ ) C [ ) B [ ) D [ ) B [ ) F [ ) Ground Rules: 1. Dr. Riggs will extend due dates only for emergency circumstances. Documentation must be provided and the approval of Dr. Riggs is mandatory. If you miss a chapter quiz deadline you will be given two extra days to do the quiz once with a 2 pt lateness penalty. If you miss a cumulative test you will be given two extra days to do the test once with a 5 pt lateness penalty. Larger penalties will be assessed if completion is delayed until later in the course. You may not be allowed to take the quizzes and tests later in the course at all. There may be no extension of time on the paper. 2. Any changes by Dr. Riggs in due dates for the class will be announced in advance by Partial credit may be given on Cumulative Tests. If so, all work must be shown. Credit may not be given for correct answers that have no work shown. Dr. Riggs will retain all corrected On campus Tests, if there are any, for one year. Graded copies of such on campus tests will be sent to the students. Any questions about grades should be ed to me immediately. 4. Incompletes will only be given under emergency circumstances. Documentation must be provided and the approval of Dr. Riggs is mandatory. Conflicting vacation plans do not constitute an emergency circumstance. 5. Dr. Riggs reserves the right to change these ground rules during the semester; but will only do so upon open discussion with the class. Bibliography Bittinger/Beecher, Precalculus, Graph and Models, 4 th Ed., AddisonWesley, Boston, MA, 2009 Barnett, Ziegler, and Byleen, College Algebra with Trigonometry, 8 th Ed., McGraw Hill, 2008 Dugopolski, Fundamental of PreCalculus, 2 nd Ed., Addison Wesley, New York, NY, 2009 Dugopolski, PreCalculus, Functions and Graphs, 3rd Ed., Addison Wesley, Boston, MA, 2009 Hungerford/Shaw, Contemporary PreCalculus a Graphing Approach, 5 th Ed., Brooks/Cole, Belmont, CA, 2009 Larson/Hostetler, PreCalculus, 4 th Ed., Houghton Mifflin, Boston, MA,
5 Stuart, Redline, and Watts, Algebra and Trigonometry, 2 nd Ed., Brooks/Cole, Belmont, CA, 2007 Sullivan/Sullivan, PreCalculus Concepts Through Functions, Prentice Hall, Upper Saddle River, NJ, 2007 Swokowski/Cole, Algerbra and Trigonometry, Brooks/Cole, Belmont, CA, 2008 Relevant Software Derive Last revised 1/30/2010 Copyright
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