South Plains College Dual Credit Spring 2012 MATH 1314 College Algebra Instructor Kim Talbert Lubbock High School E mail ktalbert lubbockisd org COURSE POLICIES AND PROCEDURES PURPOSE OF THE COURSE This is a standard course in college algebra completed over two semesters covering the following topics quadratic equations ratio and proportion variation binomial theorem progressions inequalities complex numbers theory of equations determinants and matrices linear programming mathematic induction permutations and combinations PREREQUISITE Two units of high school math or MATH 0320 TEXTBOOK College Algebra 4th Ed by Robert Blitzer GRADING You will be given 3 unit grades and a comprehensive final each semester Your final grade will be a weighted average of the six unit grades 80 and the two semester final exam grades 20 Within each unit the unit assessment will count as 25 of your grade daily homework assignments count 25 and quizzes will make up the remaining 50 of your unit grade SPC GRADING SCALE A 100 90 B 80 89 C 70 79 D 60 69 F 0 59 LATE WORK POLICY Completion of homework assignments is necessary for your success in this class 20 points will be deducted from your homework grade for each class period it is not turned in If you are absent make sure you get the class notes and any assignments you missed You have as many class days to make up the work as you have been absent Tests and quizzes must be made up immediately upon return to class Responsibility for staying up to date and prepared lies with you EQUAL OPPORTUNITY South Plains College strives to accommodate the individual needs of all students in order to enhance their opportunities for success in the context of a comprehensive community college setting It is the policy of South Plains College to offer all educational and employment opportunities without regard to race color national origin religion gender disability or age STUDENTS WITH SPECIAL NEEDS Students with disabilities including but not limited to physical psychiatric or learning disabilities who wish to request accommodations in this calls should notify the Special Services Office early in the semester so that the appropriate arrangements may be made In accordance with federal law a student requesting accommodations must provide acceptable documentation of his her disability to the Special Service Coordinator For more information call or visit the Special Services Office in the Student Services Building 894 9611 ext 2529 2530 COURSE OBJECTIVES Upon completion of the course with a passing grade the student will be able to 1 2 3 4 5 Solve and graph problems involving linear quadratic exponential rational radical and logarithmic functions Solve and graph linear quadratic and rational inequalities Identify and simplify complex numbers Analyze and graph polynomial and rational functions Create and solve systems of algebraic equations with algebraic techniques with matrix techniques and with determinants 6 Apply the Binomial Theorem to expand binomials of higher degree 7 Find Arithmetic and Geometric Sequences 8 Demonstrate mastery of additional topics to be determined by the instructor as time permits Course Outline Fundamental Concepts of Algebra Exponents and Scientific Notation Radicals and Rational Exponents Polynomials Factoring Polynomials Rational Expressions Blitzer P 2 P 3 P 4 P 5 P 6 Equations and Inequalities Linear Equations Models and Applications Complex Numbers Quadratic Equations Other Types of Equations Linear Inequalities and Absolute Value Inequalities 1 1 1 3 1 4 1 5 1 6 1 7 Functions and Graphs Basic Functions and Their Graphs Linear Functions and Slope Transformations of Functions Distance and Midpoint Circles 2 1 2 2 2 3 2 4 2 5 2 8 Polynomial and Rational Functions Quadratic Functions Polynomial Functions and Their Graphs Dividing Polynomials Remainder and Factor Theorems Zeros of Polynomial Functions Rational Functions and Their Graphs Polynomial and Rational Inequalities Modeling Using Variation 3 1 3 2 3 3 3 4 3 5 3 6 3 7 Exponential and Logarithmic Functions Exponential Functions Logarithmic Functions Properties of Logarithms Exponential and Logarithmic Equations Exponential Growth and Decay Modeling Data 4 1 4 2 4 3 4 4 4 5 Systems of Equations and Inequalities Systems of Linear Equations in Two Variables Systems of Linear Equations in Three Variables Systems of Nonlinear Equations in Two Variables Systems of Inequalities Linear Programming 5 1 5 2 5 4 5 5 5 6 Matrices and Determinants Matrix Solutions to Linear Systems Inconsistent and Dependent Systems with Applications Matrix Operations and Their Applications Multiplicative Inverses of Matrices and Matrix Equations Determinant and Cramer s Rule 6 1 6 2 6 3 6 4 6 5 Sequences Induction and Probability Sequences and Summation Notation Arithmetic Sequences Geometric Sequences and Series Mathematical Inductions The Binomial Theorem Counting Principal Permutations and Combinations Probability 8 1 8 2 8 3 8 4 8 5 8 6 8 7
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