NORTH CAROLINA CENTRAL UNIVERSITY COLLEGE OF SCIENCE AND TECHNOLOGY DEPARTMENT OF MATHEMATICS AND COMPUTER SCIENCE COLLEGE ALGEBRA AND TRIGONOMETRY I MATH 1100-09__ CRN _40935_ “Communicating to Succeed” Instructor: Hamest Gevorgyan Phone: 919-530-6174 Office: _3254_ Mary Townes Science Complex E-mail hgevorgyan@nccu.edu Office Hours: MWF from 1:00p.m. to 2:00p.m. MW from 3:00p.m. to 4:00p.m. and TR from 11:00a.m. to 12:00p.m. COURSE PREREQUISITE: Two courses of high school algebra and a satisfactory grade on the mathematics placement test, or a grade of “C” or better in Math 1000. COURSE DESCRIPTION: College Algebra and Trigonometry I is the first of a two course sequence in college algebra and trigonometry designed for students planning to take calculus. Topics include fractional expressions, exponents and radicals, equations and inequalities of linear and quadratic types, functions and graphs, exponential and logarithmic functions. COURSE RATIONALE: The design of this course is to provide students, who have moderate experience with algebra, a solid foundation of aspects of algebra essential to the study of higher mathematics, as well as to help students succeed with non-mathematical courses that require an understanding of algebraic fundamentals. Math 1100 is a 3-credit GEC (General Education Curriculum) course and serves as partial fulfillment of the university mathematics requirement. All sections of the course Math 1100 are web-assisted. “Web-assisted” simply means your instructor will combine in-class lectures with assignments that are on the internet at a text-related website. Most quizzes and/or tests will be taken online. TEXTBOOK: “Algebra and Trigonometry” by Robert Blitzer 4th Edition. Published by Prentice Hall Purchase your textbook right away as book assignments and usage will begin immediately. COURSE NOTES: Reserve a loose-leaf notebook with pockets for this course. Keep all lecture notes, handouts, and class assignments organized by date in this notebook. TECHNOLOGY REQUIREMENT: TI-83 Graphing Calculator: You must purchase a TI-83 calculator to be used for some of the topics being taught and various calculator-based assignments. It will be used after mid-term. MathXL REGISTERING IN YOUR MATHXL COURSE Welcome to MathXL! Your instructor has set up a MathXL course for you. The course name is: College Algebra & Trig I. It is based on this textbook: Blitzer, 4th edition. To join this course, you need to register for MathXL and then enroll in the course. The Course ID for your course is: _ XL0J-916R-001Y-6MP2 Before you begin, make sure you have the access code that comes with your MathXL Access Kit. If you don't have an access kit, you can buy the code online by clicking Buy New at www.mathxl.com. To register, go to the www.mathxl.com for MathXL, click the Register button, and then follow the instructions on the screen. Enter your student access code in the fields provided. A sample access code looks like this: SMPLE-FRILL-TONLE-WEIRS-CHOIR-FLEES Follow the on-screen instructions to complete the registration process. After registering, log in to MathXL with your username and password. To enroll in this course, enter the following Course ID: ______________________________ Need more help? To view a complete set of instructions on registering and enrolling, go to www.mathxl.com and visit the Tours page. Click the Submit button and follow the on-screen instructions to run the Installation Wizard for your course. COURSE PROCEEDURE Check announcements daily on Blackboard & MathXL Visit the MathXL website daily to retrieve your assignments. View lecture powerpoints, videos (if available), and read appropriate section of your textbook before doing homework. Take good notes. All homework, quizzes, and exams will be given through MathXL. LEARNING OUTCOMES: Upon successfully completing Math 1100 students will be able to: 1. Identify and explain mathematical terminology, notation and symbols used in algebra 2. Perform the fundamental concepts of algebra. a. Simplify exponents b. Simplify radicals c. Simplify algebraic expressions d. Factor polynomials e. Simplify rational expressions 3. Solve various types of equations. a. Linear equations 4. 5. 6. 7. 8. 9. b. Rational equations c. Quadratic equations d. Literal equations e. Absolute value equations f. Equations containing radicals g. Equations containingexponents h. Exponential equations i. Logarithmic equations Solve and graph inequalities. a. Linear inequalities b. Quadratic inequalities c. Absolute value inequalities. Translate and solve application problems. a. Linear equations b. Quadratic equations c. Modeling with linear functions d. Modeling with quadratic functions e. Modeling with variations f. Compound interest g. Modeling with logarithmic and exponential functions Perform the arithmetic of complex numbers. a. Add b. Subtract c. Multiply d. Divide Analyze relations and functions a. Evaluate functions b. Find domain and range c. Identify intercepts d. Combine functions arithmetically e. Form composite functions f. Find the inverse of a function g. Find the slope of a line h. Find an equation of a line Graph various Functions a. Linear Functions b. Quadratic Functions c. Rational functions d. Exponential Functions e. Logarithmic Functions Use the properties of logarithms (product rule, quotient rule, power rule, etc.), CLASS ATTENDANCE: Attendance will be taken every class period. Students who are excessively absent and /or tardy will be assigned a grade of NW or NF according to the University’s Attendance Policy. Coming in excessively late and leaving class unduly early are treated the same as being absent. MATH LEARNING CENTER (MLC) Rooms 3238 & 3221 Mary E. Townes Science Complex: The Math Learning Center (MLC) is designed to provide students with additional help doing their homework. Free tutoring service is provided for students who ask. Students may receive some individualized help, but primarily tutors will work with groups of students. PRETEST AND POSTTEST: Every section of Math 1100 will be given a pretest and a posttest to assess specific learning outcomes taught in this course (i.e., those learning outcomes highlighted in bold type). The post-test score can be used to replace your lowest test score. HOMEWORK/QUIZZES: Homework will be assigned frequently. Quizzes, both announced and unannounced, will be given throughout the semester. TESTS: There will be at least 4 tests, a midterm exam, and a final exam FINAL EXAMINATION: The final exam will be comprehensive. There are no exemptions from the final exam. All Math 1100 students will take the common comprehensive final exam at the same time. MAKE-UP POLICY: No make-ups will be allowed except for University related absences (i.e. team/ band/ chorus travel, etc.) Notification of university related absences must be provided at least one week in advance. For dire emergencies, if a student has to miss an exam he or she will be allowed to replace one exam with their final exam grade provided they have acceptable documentation. The acceptability of documentation will be determined by the instructor. WEIGHTS OF THE VARIOUS REQUIREMENTS: Homework 20% 90% to 100% = A Quizzes 15% 80% to 89% = B Tests/Midterm 40% 70% to 79% = C Final Exam 25% 60% to 69% = D below 60% = F MATH CLASSROOM GUIDELINES: Come to every class period and arrive on time. Being excessively tardy or leaving the class early will result in being marked absent. No food or drinks are allowed in the classroom. Turn off all cell phones and pagers prior to coming to class. Do not sign the roll or answer the roll for anyone except yourself. Keep talking to a minimum. Even short conversations in various parts of the classroom become a major distraction to the learning process. Bring your own supplies - book, calculator, and pencils - to class. Do not work on assignments from other classes during your math class. Do not turn on or use your lap top computer or computers in the classroom during lectures unless instructed by your teacher. Respect your instructor, your classmates, and yourself by being very attentive to the lectures and the learning process, in general. STUDENT SUPPORT SERVICES FOR STUDENTS WITH DISABILITIES Students with disabilities (physical, psychological, learning disability, etc.) who would like to request accommodations need to register with the Office of Student Support Services in Suite G20 in the Student Services Building or by contacting Kesha Lee, Director at (919)530-6325 or klee@nccu.edu. If you are already registered in the office, you will need to return to the office each semester to review your information and receive updated accommodations. Remember, your instructor's goal is to provide a classroom environment that is quiet, respectful, and conducive to helping each student successfully pass the course. However, you must do your part to make this happen! BUY YOUR TEXTBOOK WITH MATHXL ACCESS CODE IMMEDIATELY, READ AHEAD, PREPARE WELL FOR TESTS, DO ALL ASSIGNMENTS ON MATHXL BEFORE THE DEADLINES, COMPLETE ALL REQUIREMENTS, STUDY, STUDY, STUDY !! Challenge Test: The challenge test is offered Saturday, August 21, 2010. The appropriate form must be purchased, filled out and returned to the Math and Computer Science office, Townes room 3242, no later than Thursday, August 19, 2010. See your instructor for more details MATH 1100 MWF COURSE OUTLINE FALL 2010 Date August 16 Readings & Assignments Discuss Syllabus Introduce MathXL 18 Read P.2- Exponents and Scientific Notation 20 23 Read P.3- Radicals and Rational Exponents Pre-test Assessment 25 27 Read P.4 – Polynomials & P.5 – Factoring Polynomial 30 P.6- Rational Expressions * September 1 3 6 P.5- Factoring Polynomials Read P.6- Rational Expressions * Test 1 Read 1.2- Linear Equations and Rational Equations Labor Day Observance, no classes 8 10 Read 1.3- Models and Applications Read 1.4- Complex Numbers 13 15 Read 1.5- Quadratic Equations Read 1.6- Other Types of Equations 17 Read 1.7- Linear Inequalities and Absolute Value Inequalities (Early warning progress grades due in Banner by 5 p.m.) 20 22 Review for Test 2 Test 2 24 Read 1.1- Graphs and Graphing Utilities & 2.1- Basics of Functions and Their Graphs Read 2.2- More on Functions and Their Graphs (Fall Convocation at 10:15 a.m.) 27 29 October 1 Read 2.3- Linear Functions and Slope Review for Midterm 4 Midterm Exam 6 Read 2.4- More on Slope 8 11 Read 2.6- Combinations of Functions; Composite Functions ** Read 2.7- Inverse Functions 13 15 Read 2.8- Distance and Midpoint Formulas; Circles (Mid-term progress reports) Read 3.1- Quadratic Functions 18 20 Fall Break No Classes Review for test 3 22 25 Test 3 3.3- Dividing Polynomials; Remainder &Factor Theorems*** 27 29 Read 3.5- Rational Functions & Graphs Last day for undergraduates to withdraw November 1 3 Read 3.6- Polynomials and Rational inequalities Read 3.7- Modeling Using Variation Read 4.1- Exponential Functions 5 8 Read 4.1- Exponential Functions Read 4.2- Logarithmic Functions 10 12 15 Read 4.3- Properties of Logarithms 4.3- Properties of Logarithms 4.3- Properties of Logarithms 17 19 Read 4.4- Exponential and Logarithmic Equations Read 4.4- Exponential and Logarithmic Equations 22 24 Read 4.5 Applications *** Thanksgiving Holiday 26 29 Thanksgiving Holiday Review for Test 4 December 1 3 Test 4 Review for Final Exam 6 8 Post Test (Last day of classes for graduating students) (Final examinations for graduating students) (Last day of classes for all students) 10 *Focus only on LCD, Addition/Subtraction of Unlike Fractions **Do Composite Functions only ***Do Long Division and Synthetic Division only ****Do Compound Interest and Half-Life Schedule may vary from time to time, but each instructor will strive to remain true to this schedule.