In this class, the teacher will establish and support an environment that values and nurtures individual and group differences and encourages engagement and interaction. Understanding and respecting multiple experiences and perspectives will serve to...1 General Course Syllabus Department: Mathematics and Engineering Discipline: Mathematics Course Number: Math 1314 Course Title: College Algebra Credit: 3 Lecture: 3 Lab: 1 This course satisfies a core curriculum requirement: Yes – mathematics Prerequisites: 2 years of high school algebra or Math 0320, TSI compliance Available Formats: conventional/internet/ITV Campuses: Levelland Campus, Reese Campus, Plainview, Byron Martin ATC Lubbock Textbook: College Algebra, 5th edition, Blitzer, Pearson-Prentice Hall, 2010 Supplies: calculator with a log function, the course may include online supplemental instruction. Please see the instructor’s course information sheet for more on this. Course Description: A standard course in college algebra. Quadratic equations; ratio and proportion; variation; binomial theorem; inequalities; complex numbers; theory of equations; determinants and matrices. Course Purpose/Rational/Goal: The purpose of the course is to provide a fundamental background in algebra to meet the mathematics requirement for the core curriculum and to provide a basis for further study in mathematics. Course Requirements: To maximize the potential to complete this course, a student should attend all class and laboratory meetings, take notes and participate in class, complete all homework assignments and examinations including final examinations.2 COURSE OUTCOMES: Upon completion of this course and receiving a passing grade, the student will master at least 70% of the course objectives. To complete these objectives, the students must already be prepared factor algebraic expressions, reduce, add, subtract, multiply, divide, and simplify rational expressions, and simplify, add, subtract, multiply and divide exponential and radical expressions. The course objectives the student will be able to meet are: 1. Solve and graph: a. linear functions; i. Section 1.2, Part I: “Linear Equations” ii. Section 2.3: “Linear Functions and Slope” iii. Section 2.4: “More on Slope” b. quadratic functions; i. Section 1.5: “Quadratic Equations” ii. Section 3.1: “Quadratic Functions” c. logarithmic and exponential functions; i. Section 4.1: “Exponential Functions” ii. Section 4.2: “Logarithmic Functions” iii. Follow-up—Section 4.3: “Properties of Logarithms” iv. Section 4.4: “Exponential and Logarithmic Equations” 2. Solve and graph: a. linear inequalities (Section 1.7, Part I: “Linear Inequalities”);# b. quadratic/polynomial inequalities (Section 3.6, Part I: “Polynomial Inequalities”); c. rational inequalities (Section 3.6, Part II: “Rational Inequalities”); 3. Identify and simplify complex numbers (Section 1.4: “Complex Numbers”). 4. Apply distance, midpoint, and circle formulas (Section 2.8: “Distance and Midpoint Formulas; Circles”). 5. Analyze and graph polynomial functions. a. Section 1.6, Part I: “Polynomial Equations” b. Section 3.2: “Polynomial Functions and Their Graphs” c. Section 3.3: “Dividing Polynomials; Remainder and Factor Theorems” d. Section 3.4: “Zeros of Polynomials” 6. Analyze and graph rational functions. a. Section 1.2, Part II: “Rational Equations” b. Section 3.5: “Rational Functions and Their Graphs”3 7. Find the solutions for systems of equations and systems of inequalities by using one or more of the following techniques: a. Algebraic Techniques i. Section 5.1: “Systems of Linear Equations in Two Variables” ii. Section 5.2: “Systems of Linear Equations in Three Variables” iii. Section 5.5: “Systems of Inequalities” # b. Matrix Techniques i. Section 6.1: “Matrix Solutions to Linear Systems” ii. Section 6.2: “Inconsistent and Dependent Systems” c. Determinants (Section 6.5: “Determinants and Cramer’s Rule”) 8. Expand a binomial raised to an integral power (Section 8.5: “The Binomial Theorem”). * Developed by the Coordinating Board and the Faculty of South Plains College’s Math and Engineering Department. # These topics will be covered if time permits; otherwise, they will be omitted from the schedule.45 MATH 1314—College Algebra South Plains College, Levelland campus Spring Semester 2012 Sections: 003—MW, 11:00 AM-12:45 PM.; 006—MW, 2:30-4:15 p.m. Rooms: Levelland Math Bldg., Room 105 (Section 003) Levelland Math Bldg., Room 122 (Section 006) Instructor: Mr. Robert E. Plant, II, M.S. Office Info: Room—Levelland Math Bldg. 116B Phone—(806) 716-2734 Hours—the following table will display the regular office hours. Monday Tuesday Wednesday Thursday Friday 1:00-2:15 PM 1:00-2:15 PM 1:00-2:15 PM 1:00-2:15 PM 9:00 AM-12:00 Noon OR BY APPOINTMENT E-mail: [email protected] O.P.I.*: This syllabus is © 2012 by Mr. Robert E. Plant, II * O.P. I. means “other pertinent information,” or in layman terms, “something else that you need to know.” Tutoring: Free tutoring is available in room 116 of the Mathematics-Engineering Building, at the Reese Center campus in room RC256 and in Building 8, and at the Byron Martin ATC in Lubbock (34th and Avenue Q). (Please remember to sign in when you seek the help of a tutor in each of these places.) Videotapes for this course are also available. Students are encouraged to view these tapes in room 116 or check them out. Also, online access to these tapes is available through the Blackboard Learn 9 Module (Username: mvideos, Password: mvideos). “True knowledge exists in knowing that you know nothing.” —Socrates6 Fundamental Principles of Mathematics Mathematics is built upon two fundamental principles—pattern recognition and problem solving. Students must become able to recognize patterns in order to solve types of problems. Too often have I observed students hang a majority of time up on each specific problem, so it is my mission as your instructor to emphasize that there are sets of problems within the homework (HW) assigned that require one concept or skill to solve all problems in each set! It is the ultimate objective of this and any other mathematics course to enable you as the student to become proficient in both of these areas. But