GORDON COLLEGE Barnesville, GA 30204. SYLLABUS COURSE: MATH 1111-B: College Algebra. SEMESTER: Summer Semester 2011. CREDIT: 3 semester credit hours. PREREQUISITE: Exemption from or completion of Learning Support Mathematics. CLASS SCHEDULE: MTWRF : 10:15 - 12:20 (Instr. Complex, Room 208) INSTRUCTOR: Dr. Satyajit Karmakar Office: Instr. Complex 228 Telephone: 678-359-5833. E-mail: s_karmakar@gdn.edu OFFICE HOURS: MTWR: 9:40 - 10:10 TEXT: Algebra and Trigonometry, 9th Edition by Michael Sullivan. Prentice Hall. 1. COURSE DESCRIPTION a. This course will cover a variety of topics in algebra, selected from Chapters R, 1, 2, 3, 4, 5, and 11. The topics covered include the set of real numbers, equations and inequalities, functions and graphs, systems of equations, polynomial functions, exponential and logarithmic functions. MATH 1111 does not fulfill the Core Curriculum Area A requirement for science majors. MATH 1111 will count in Area B for science majors. MATH 1113 (Pre-Calculus) is the course that fulfils the Core Curriculum Area A requirement for science majors. b. This course will emphasize student preparation and solving problems. c. To do well in this course, you must read the assignment ahead of time and prepare questions, do problems from the text, and prepare for tests by reviewing those problems worked in class. Over the course of the semester, you should devote about two hours of outside work for each hour in class. d. You will maintain a College Algebra notebook. e. We will cover the following sections from the text: Chapter R: Review : Polynomials, factoring, Polynomial Division, Synthetic Division,, Rational Expression, and nth roots. Chapter 1: Equations and Inequalities: Linear Equations, Quadratic Equations, Complex numbers, Radical Equations, Solving inequalities. Chapter 2: A Two-Dimensional Coordinate System and Graphs; Introduction to functions; Lines, Circles, and variation. Chapter 3: Functions and Their graphs. Chapter 4: Polynomial and Rational Function: Polynomial Functions, Polynomial and Rational Inequalities, Real zeros of a polynomial function, Complex zeros, and Fundamental Theorem of Algebra. Chapter 5: Exponential and Logarithmic functions, Properties of Logarithms, Exponential and Logarithmic equations. Chapter 11: System of Equations and inequalities: Systems of Linear Equations and non-linear equations 2. COURSE OBJECTIVES. a. General education objectives: This course, by means of the lectures, group work, individual problem solving, application of principles, and calculation addresses four of the Gordon College General Education Expected Outcomes. (1) Analytical and Critical-Thinking: The course will require you to reason and think analytically in solving problems and making decisions. (2) Communications: The course will require you to read and listen with understanding, and to communicate clearly and effectively in writing and speaking. (3) Mathematical: The course will require you to understand and apply fundamental mathematical concepts in solving problems. b. Specific course objectives: Upon completion of the course, students should have an understanding and be able to apply their knowledge of 1. Solving linear, quadratic, rational, radical, and absolute value equations and their applications. 2 Solving linear, quadratic, rational, radical, and absolute value inequalities and their applications. 3. The rectangular coordinate system and graphing equations in two variables. 4. Finding equations of and graphing lines and circles and their applications. 5. Fundamental concepts of functions and their application as mathematical models. 6. The Fundamental Theorem of Algebra; finding all rational roots and approximating irrational roots of a polynomial equation. 7. Direct and inverse variation and applications. 8 Solving systems of linear equations in two or three variables and applications. 9. The properties of exponents and logarithms. 10. Solving exponential and logarithmic equations. 3. METHOD OF EVALUATION There will be three (3) in-class tests given during the semester. If you miss a test, a zero will be recorded for your score. If a make-up test is required, there will be 20% penalty unless there is a documented medical excuse or documented death in the immediate family. All test will be taken without references of any description. Just having the correct answer to a test question will NOT earn you credit for the problem; you must use clear mathematical reasoning and clear mathematical writing to show me how you arrive at your solution. There will be a comprehensive Final Examination given on Monday, July 25, 2011 at 10:15 a.m. Gordon College policy states the Final Examinations must be taken at the scheduled time. Therefore, students are not permitted to take the Final Examination early. Please make your plans accordingly. 4. The student=s final grade will be computed as follows: Tests (25% each) Final Exam TOTAL 75% 25% 100% The following tentative grading scale will be used. 89.5 or above A 79.5 to 89.49 B 69.5 to 79.49 C 59.5 to 69.49 Below 59.5 D F 5. WORKING PROBLEMS: Most students will benefit by working many, many problems for practice. A list of suggested problems for each section covered will be given. These are intended to give the student practice in specific concepts that are taught in class. The problems will not be graded. However, I strongly encourage you to work them out. I will use approximately the first ten minutes of class to answer any questions about the homework problems. Math is not a spectator sport! I encourage students to work together on homework. 6. CLASS PARTICIPATION. I encourage students to ask as many questions as we have time to cover. I will ask you to work problems on the board and your participation is mandatory. 7. ATTENDANCE: Attendance at class is important. I will take attendance by passing an Attendance Sheet for you to sign. If your signature is not beside your name for a particular day, you are considered absent. It is your responsibility to make sure you sign the Attendance Sheet. Students absent two consecutive days without contacting me may be withdrawn from the course. Students are responsible for every instruction, every change in the syllabus, and all material covered in class whether or not they are present. Students who enroll in the course late are responsible for material covered before they enrolled. 8. ACADEMIC HONESTY. Each student must do his or her own work on tests and the final examination without assistance from any outside source not specifically authorized by me. 9. CLASSROOM ETIQUETTE: Students are expected to treat the instructor and other students with respect. Please refrain from the following during class time: 1. Talking with other students (other than during group activities). 2. Leaving class early (other than an emergency). 3. Leaving the desk to sharpen a pencil in the middle of a lecture. 4. Consistently late coming to class. 5. Pagers beeping during class. 6. Placing or receiving cellular phone calls during class. 10. OFFICE PROCEDURE: To get help from me: 1. Bring your textbook, calculator, and lesson notes. 2. Make sure you have read the lesson notes and studied the examples. 3. Be prepared to show me at least two odd-numbered problems, from the section, that you have attempted to solve. 4. Bring your incomplete or incorrect solution to each problem. 5. Ask for help as early as possible. Not on the day of the test. 11. Tentative Course Outline: Date Section Tue, June 28 1.1, 1.2 Wed, June 29 1.3, 1.4 Thu, June 30 1.5, 1.6, Fri, July 1 Mon, July 4 Tue, July 5 Review Independence Day Holiday Test I, 2.1 Wed, July 6 2.2, 2.3 Thu, July 7 2.4, 2.5 Fri, July 8 3.1, 3.2 Mon, July 11 Review Tue, July 12 Test II Wed, July 13 4.3, 5.1 Thu, July 14 5.4, 5.5 Fri, July 15 5.6, 6.3 Mon, July 18 Review, Test III Tue, July 19 6.4 Wed, July 20 6.5, 6.6 Thu, July 21 12.1, 12.6 Fri, July 22 Review Mon, July 25 Final Exam