Broward College College Algebra Course Outline

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1 Broward College College Algebra Course Outline LAST REVIEW: Academic Year NEXT REVIEW: Academic Year COMMON COURSE NUMBER: MAC 1105 INSTRUCTOR NAME: Freddy R. Matute, MBA CONTACT: TEXT BOOK: College Algebra Essentials by Robert Blitzer, 3 rd. Edition, 2010 CREDIT HOURS: 3 CONTACT HOURS BREAKDOWN: Lecture/Discussion 48 Contact Hours/Week 5H 30M CALCULATOR: Scientific Calculator CATALOG COURSE DESCRIPTION: Prerequisite: MAT1033 Corequisite: None A college algebra course containing topics such as solving, graphing and applying linear, and quadratic equations, and inequalities; exponential and logarithmic properties; linear, quadratic, rational, absolute value, and square root functions; operations, compositions, and inverses of functions; and systems of equations and inequalities, all with applications throughout the course. Recommendation of the Mathematics Department or at least a grade of C in the prerequisite course required. General Education Requirements - Associate of Arts Degree, meets Area(s): General Education Requirements - Associate in Science Degree, meets Area(s): UNIT TITLES: 1. Optional Review of Selected Topics in Intermediate Algebra 2. Quadratic Equations and Inequalities 3. Relations, Functions, and Graphs 4. Exponential and Logarithmic Properties, Functions, and Equations 5. Systems of Equations I. Course Overview: Upon successful completion of this course, the students should be able to enter higher-level Mathematics courses such as MAC 2233 (Business Calculus), MAC 1140 (Precalculus Algebra), or MAC 1114 (Trigonometry). II. Units: Unit 1. Optional Review of Selected Topics in Algebra 1.0 The students should be able to work with algebraic concepts. 1.1 Perform operations on rational expressions, including complex fractions. 1.2 Perform operations with complex numbers, including powers of i. 1.3 Graph linear equations and inequalities in two variables. 1.4 Determine the slope of a line.

2 1.5 Determine the equation of a line. 1.6 Graphically solve a linear system of inequalities. Unit 2. Quadratic Equations and Inequalities 2.0 The students should be able to solve radical and quadratic equations. The students should be able to solve rational, quadratic, and absolute value inequalities. 2.1 Solve quadratic equations in one variable by factoring; using the square root property; completing the square; and using the quadratic formula. Analyze the discriminant to determine the nature of solutions. Solve applied problems. 2.2 Solve radical equations, especially those requiring double-squaring, and equations quadratic in form. 2.3 Solve quadratic inequalities in one variable; graph the solution set; and express the solution set in interval notation. 2.4 Solve inequalities that involve absolute value in a single variable; graph the solution sets; and express the solution set in interval notation. 2.5 Solve inequalities that involve rational expressions; graph the solution sets; and express the solution set in interval notation. Unit 3. Relations, Functions, and Graphs 3.0 The students should be able to work with relations, functions, and their graphs. 3.1 Determine if a given relation is a function. 3.2 Evaluate a given function using function notation. 3.3 Determine the difference quotient. 3.4 Determine the domain and range of a relation or function. 3.5 Determine if a function is even or odd. 3.6 Determine the vertex and axis of symmetry of quadratic functions and sketch their graphs. 3.7 Determine x- and y- intercepts. 3.8 Solve maximum/minimum problems. 3.9 Graph quadratic, absolute value, square root, and cubic functions using symmetry, shifting, stretching, compressing, and/or reflecting Evaluate and graph piecewise-defined functions Add, subtract, multiply, and divide two functions Determine the composition of two functions Determine if a function is one-to-one Determine the inverse of a one-to-one function Graph a function and its inverse Determine the type(s) of symmetry exhibited by a given relation Determine the center and radius of a circle and sketch its graph Use and apply the midpoint and distance formulas.

3 Unit 4. Exponential and Logarithmic Properties, Functions, and Equations 4.0 The students should be able to solve and graph logarithmic and exponential equations/functions. 4.1 Convert a logarithmic equation to exponential form and vice-versa. 4.2 Simplify and evaluate logarithmic expressions using the properties of logarithms, including change of base. 4.3 Solve exponential equations (same and different bases). 4.4 Graph exponential and logarithmic functions using shifting, stretching, compressing, and reflecting. 4.5 Solve applied problems including exponential growth/decay and compound interest. 4.6 Solve logarithmic equations. Unit 5. Systems of Equations 5.0 The students should be able to solve linear systems of equations. 5.1 Algebraically solve a linear system of equations in two and three variables. 5.2 Classify a linear system of equations (in two and three variables) as consistent, inconsistent, or dependent. 5.3 Use matrix notation to solve 2 X 2 and 3 X 3 linear systems of equations. 5.4 Solve applied problems. EVALUATION TESTS (70%): There will be three tests as follows: Test 1: Includes Chapters 1 Test 2: Includes Chapters 2 & 3 Test 3: Includes Chapters 4 Each test is graded on the basis of 80 points. These tests will be given in class. There are NO makeups on these tests. Students who miss a test are assigned a grade of zero for that test. Under very special circumstances when makeup tests are permitted it will be graded over 80% and it will not be the same given to the rest of the class. HOMEWORK (15%): There are exercises at the end of each of the sections, which you must satisfactorily complete as part of your course requirements. The main objective of these exercises is to provide you with "hand-on" conclusions for your analysis. QUIZZES (15%): There will be quizzes at the beginning of the class that will be graded by your instructor. The quizzes will be based on the material sent for homework. If you are late for the quiz or if you miss a class, you receive a grade of zero.

4 FINAL GRADE Base on the average of your three tests including quizzes: CLASS RULES AND REQUIREMENTS A B C D F Below NO cellphones are allowed in class. 2. NO food, drinks, or baseball caps are allowed in class. 3. If you miss a quiz, exam or paper due date you must bring a letter explaining the reason to the professor. The professor and the college director will sign the letter and it will be filed in your personal folder. A limit of three letters is allowed per year without further penalty. 4. Students who are absent more than two unexcused times per semester will receive a letter dropping for the course 5. Students who are absent more than three unexcused times per semester will receive an F for the course. 6. If a student is absent more than two classes consecutively they must present a letter explaining why and that letter will be filed in the student s folder. 7. Students who make-up quizzes, exams, mid-term or final exams will be allowed to take the exam over 80%. 8. Individual instructors will decide when make-up exams will be taken. 9. Students who cheat or plagiarize at any time will be subject to severe penalties up to, and excluding expulsion from the school. Dishonesty is not permitted; get used to it. 10. Read the sections of the textbook corresponding to the material covered in class, preferably before the class 11. Do all the homework problems assigned 12. Ask questions if you experience difficulty 13. Seek assistance if you need extra help 14. Consider forming study groups with your classmates 15. Consider visiting the Khan Academy site for extra help

5 COURSE CALENDAR COLLEGE ALGEBRA DATE 10/31/2017 TOPIC Introduction to class rules and policies and Read Sections , 1.3 and solve proposed exercises 11/2/2017 No class (Holiday) 11/7/2017 Read Section 1.4, 1.5, 1.6 and solve proposed exercises 11/9/2017 Read Section 1.7, 2.1, 2.2 and solve proposed exercises 11/14/2017 Read Sections 2.3, 2.4, 2.5 and solve proposed exercises 11/16/2017 First Test: Chapters 1 and 2 till section /21/2017 Read Sections 2.6, 2.7, 2.8 and solve proposed exercises 11/23/2017 Read Sections 3.1, 3.2, 3.3, and solve proposed exercises 11/28/2017 Read Sections 3.4, 3.5, 3.6 and solve proposed exercises 11/30/2017 Read Sections 3.7, 4.1, 4.2 and solve proposed exercises 12/5/2017 Second Test: Sections and Chapter 3 12/7/2017 Read Sections 4.3, 4.4, 4.5 and solve proposed exercises 12/12/2017 Read Sections 5.1, 5.2, 5.3 and solve proposed exercises 12/14/2017 Read Sections 5.4, 5.5 and solve proposed exercises 12/15/2017 Third Test: Chapters 4 and 5 (Friday Class)

6 PROPOSED EXERCISES COLLEGE ALGEBRA HOMEWORK

Instructor: Matthew Wickes Kilgore Office: ES 310

MATH 1314 College Algebra Syllabus Instructor: Matthew Wickes Kilgore Office: ES 310 Longview Office: LN 205C Email: mwickes@kilgore.edu Phone: 903 988-7455 Prerequistes: Placement test score on TSI or