MAC 1140 PreCalculus Algebra- Spring 2013 Section U05 M/W/F 2pm to 2:50pm
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1 MAC 1140 PreCalculus Algebra- Spring 2013 Section U05 M/W/F 2pm to 2:50pm Instructor: Shivanni Jagessar Office: DM 415B Office Hours: Wednesday & Friday 1pm-2pm Objectives: Stress the aspects of algebra that are important for the calculus sequence. Lays emphasis on graphs in the study of functions and algebraic relations. Covers polynomials; rational functions; logarithmic, exponential, and piecewise defined functions; inequalities; conic sections; determinants; sequence and series; mathematical induction; binomial theorem. Learning outcomes: Students will study algebraic topics in preparation for the study of Calculus. Students will develop an understanding of advanced algebraic techniques and procedures and enhance their logical reasoning skills including both inductive and deductive logic. They will gain a better understanding of the techniques of problem solving including clearly defining the problem, using a systematic approach and using symbolic representation to solve practical, real world problems. The skills developed in this course will prepare the students for the study of calculus and other mathematical courses requiring algebraic procedures. Topics: 0-Review: Functions and Graphs (including Library of Functions-Piecewise Functions). Emphasize on Graphing Functions. Graphing by Transformations. Review Composite and Inverse Function. 1-Polynomial and Rational Functions a) Polynomial Functions Review factoring b) Dividing Polynomials-Synthetic Division c) Real Zeros of a Polynomial d) Rational Functions e) Polynomial and Rational Inequalities 2- Exponential and Logarithmic Functions a) Exponential Function b) Logarithmic Function c) Properties of the Logarithms d) Exponential and Logarithmic Equations
2 3- Conic Sections a) The Parabola b) The Ellipse c) The Hyperbola 4- System of Equations a) Systems of Linear Equations in Three Variables b) Determinants and Cramer s Rule c) Systems of non-linear equations 5- Sequences-Induction Binomial Theorem a) Sequences and Series b) Arithmetic Sequences c) Geometric Sequences and Series d) Mathematical Induction e) The Binomial Theorem Textbook: Algebra and Trigonometry, 9 th Edition, by Sullivan. Prerequisites: MAC 1105 with a C or appropriate score on placement exam for students with no prior college-level coursework in mathematics. Examinations: There will be 3 in-class paper and pencil exams and a comprehensive final exam. Homework and Quizzes: You will have weekly online homework and quizzes assigned in MyLabsPlus. All online assignments have a due date and are due at midnight on the due day. Homework assignments can be attempted an infinite number of times but must be completed by 11:59pm on the assigned due date. To take a quiz you have to complete the associated homework assignment with a score of 70% or more. If you do not score at least 70% on the homework, you will not be able to take the associated quiz and therefore you will receive a 0% on that quiz. The deadlines will not be extended under any circumstances. Do not wait till the last moment to complete the assignments since you don t know what problems, technical or not, you might encounter along the way. Late submissions will not be accepted under any circumstances, so please plan accordingly. Online Assignments: All your online course assignments are available at Once you register for the class, an will be sent to your Panther account with login information. You will be able to access the site, but to gain access to assignments you must have an access code for MyLabsPlus. Access Code: If you took MAC1105 in Fall 2012 or are repeating the course you will gain access to the assignments automatically. If you took MAC 1105 or MAC 1114 prior to Fall 2012 and used MyMathLab instead of MyLabsPlus you should contact me on the first day. In all the other cases, you should purchase an access code. You can purchase an access code at FIU bookstore together with the textbook
3 or as standalone item. Or you can purchase it online directly from Pearson while attempting to use the MyLabsPlus site (a valid credit card is required and this will be the cheapest option). Grading policy: To get a full credit for a problem on a test you must show your work. An answer alone, even correct, will get no credit. Your grade will be calculated as follows: Grade components % of Grade Tests % Homework 8% Quizzes 12% Final exam 25% Total 100% Your final grade will be assigned according to the following scale. A % B % D % A % C % D 57-59% B % C 70-73% F 0-56% B 80-83% C % Calculator Policy: Graphing calculators are prohibited. A non-graphing scientific calculator can be used. Make-up Policy: There will be no make-up tests. If you miss a test due to illness or other emergency and provide documentation supporting your claim, your final exam will count in place of the missed test. There will be no make-ups for online assignments. Attendance Policy: You are expected to attend all classes. It is your responsibility to complete all assignments on time regardless of whether or not you were present in the class. During the semester, you will receive several important messages from your instructor. All communication will be sent to you Panthermail (FIU account). It is your responsibility to check that regularly. Incomplete Grade Policy: The incomplete grade is given to a student who has substantially completed most of the course work but is unable to finish an exam or other work because of circumstances beyond the student's control. An IN grade cannot be given if it is necessary for the student to repeat the course. An incomplete grade must be made up within two semesters. There is no extension of the two semester deadline. The student must not register again for the course to make up the incomplete. Every incomplete grade must be approved by the Mathematics Department. Drop Date: The last day to drop a course is March 18.
4 Academic Misconduct: Includes (but is not limited to) giving or receiving assistance on a test or homework assignment for which such assistance is not permitted, falsifying a document to obtain an excusal from a test, and using unauthorized notes on a test. A more complete definition of Academic Misconduct is given in the Student Handbook. Penalties for Academic Misconduct range from an F in the course to expulsion from the University. Tutoring Services: The Mathematics Department and the University offers a variety of services, ranging from online videos to free tutoring, designed to help students with their courses. Please visit for more details. Classroom Etiquette: To create and preserve a classroom atmosphere that optimizes teaching and learning, students are expected to conduct themselves at all times in a manner that does not disrupt teaching or learning. You are expected to come prepared to the class, be on time and remain in the classroom for the duration of the lecture. Talking, eating, sleeping, checking , using a phone, reading a newspaper, preparing for another class, packing up early is disruptive to others around you and to the instructor. Though classroom participation is always welcomed, questions and comments must be relevant to the topic at hand. If you have a question or comment, raise your hand to be recognized. Electronic devices such as cell phones, ipods, and computers must be turned off during class. Student conduct which disrupts the learning process shall not be tolerated and may lead to disciplinary action and/or removal from class. Spring 2013 Date Topics Tentative Daily Class Schedule Week 1 Week 2 Week 3 Week 4 Week 5 1/7 Review Functions and Graphs. 1/9 Library of Functions. Piecewise Functions (3.4) 1/11 1/14 Graphing Techniques: Transformations (3.5) 1/16 Review Composite and Inverse Functions (6.1,6.2) 1/18 1/21 M.L King, Jr. Day- no class 1/23 Review Factoring (R.5) 1/25 Polynomial functions (5.1) 1/28 Synthetics Division (R.6). 1/30 Real Zeros of a Polynomial Function (5.5) 2/1 2/4 Properties of Rational Functions (5.2) 2/6 2/8 Exam 1
5 Week 6 Week 7 Week 8 Week 9 Week 10 Week 11 Week 12 Week 13 Week 14 Week 15 Week 16 2/11 The Graph of Rational Functions (5.3) 2/13 Polynomial and Rational Inequalities (5.4) 2/15 2/18 Exponential Function (6.3) 2/20 Logarithmic Function (6.4) 2/22 2/25 Properties of Logarithms (6.5) 2/27 Logarithmic & Exponential Equations (6.6) 3/1 Conic Sections (11.1) The Parabola (11.2) 3/4 The Ellipse (11.3) 3/6 3/8 Exam 2 3/11 Spring Break 3/13 Spring Break 3/15 Spring Break 3/18 The Hyperbola (11.4) 3/20 Solving Linear Systems with three equations containing 3/22 three variables (12.1 section 5) 3/25 Determinants-Cramer s Rule (12.3) 3/27 Systems of Nonlinear Equations (12.6) 3/29 4/1 Sequences (13.1) 4/3 Arithmetic Sequences (13.2) 4/5 4/8 Geometric Sequences; Geometric Series (13.3) 4/10 Mathematical Induction (13.4) 4/12 4/15 The Binomial Theorem (13.5) 4/17 4/19 Exam 3 Final week of the semester- no classes Final Exam- TBA
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