I. COURSE DESCRIPTION Syllabus for MAT 099 Introduction to College Mathematics 3 Credit Hours Summer 2017 A non-specialized course in mathematics that surveys the basic concepts of high school mathematics. (Does not count toward a major or minor in mathematics. Increases the number of hours in a degree program by three credit hours. Does not satisfy general education requirement.) II. COURSE GOALS The purpose of this course is to enable the student to be able to do the A. Understand the concrete approaches to mathematical concepts. B. Understand effective communication (oral and written) of mathematical ideas in class and on assignments. C. Understand the development of mathematical vocabulary. D. Acquire a strengthening of basic algebraic skills. E. Make a smoother transition to either of the required general education math courses. III. STUDENT LEARNING OUTCOMES FOR THIS COURSE A. Pre-Algebra Unit The Real Number System This unit contains lessons that are a prerequisite for the Algebra unit. 1. Perform operations with exponents, order of operations, and inequality. 2. Solve and simplify expressions, and equations with variables. 3. Use the real number line to add and subtract real numbers. 4. Find products, and quotients for real numbers. 5. Recognize and use the properties of real numbers to simplify expressions. B. Algebra Unit Equations, Inequalities, and Applications 1. Simplify equations using the addition and multiplication properties. 2. Solve equations by applying the addition and multiplication properties multiple times. 3. Solve applications of linear equations that use formulas and geometry. 4. Solve linear inequalities. D. Graphing Linear Equations and Inequalities in Two Variables Unit 1. Interpret the meaning of linear graphs. MAT 099 Latest Revision: 7/25/16 1 (Fall 2016-DW)
2. Graph lines and inequalities using slopes, intercepts, and substitution. E. Exponent and Polynomials Unit 1. Add and subtract polynomials. 2. Apply the Product Rule and Power Rules of Exponents to simplify polynomials. 3. Multiply and divide polynomials. F. Factoring and Applications Unit 1. Find the greatest common factor for a polynomial. 2. Factor polynomials by using the distributive property, grouping, and FOIL. 3. Solve quadratic equations and applications by factoring. G. Rational Expressions and Applications Unit 1. Use the fundamental property of rational expressions to simplify expressions. 2. Multiply and divide rational expressions. 3. Find the least common denominator of rational expressions. 4. Add and subtract rational expressions. 5. Solve equations and applications of rational expressions. H. Systems of Linear Equations and Inequalities Unit 1. Solve systems of linear equations by graphing. 2. Solve systems of linear equations by substituting. 3. Solve systems of linear equations by elimination. 4. Solve applications and systems of linear inequalities. I. Roots and Radicals Unit 1. Evaluate roots. 2. Multiply, divide, and simplify radicals. 3. Add and subtract radicals. 4. Rationalize the denominator of a fraction. 5. Solve equations with radicals I. Quadratic Equations Unit 1. Solve quadratic equations by the square root property. 2. Solve quadratic equations by completing the square, and using the quadratic formula. 3. Graph quadratic equations. 4. Specify whether a relations is a function or not. MAT 099 Latest Revision: 7/25/16 2
IV. TEXTBOOKS AND OTHER LEARNING RESOURCES A. Required Materials 1. Textbooks The textbook, homework problems, and tests will be made available online. The student must purchase a MyMathLab student access code to MyMathLab.com. Email your instructor for more information. 2. Other Calculator Loose-leaf paper B. Optional Materials 1. Textbooks If your instructor uses MyMathLab software, the textbook is available in e-book form via an access code purchased from the ORU book store. All homework test and reports of grades are also available via the MyMathLab software. If your instructor does not use MyMathLab, a purchase of the book is necessary. 2. Other None V. POLICIES AND PROCEDURES Kirk Trigsted, Beginning Algebra 1/e. Prentice Hall. ISBN-13: 9780321726421 A. University Policies and Procedures 1. Attendance at each class or laboratory is mandatory at Oral Roberts University. Excessive absences can reduce a student s grade or deny credit for the course. 2. Students taking a late exam because of an unauthorized absence are charged a ($15) late exam fee. 3. Students and faculty at Oral Roberts University must adhere to all laws addressing the ethical use of others materials, whether it is in the form of print, electronic, video, multimedia, or computer software. Plagiarism and other forms of cheating involve both lying and stealing and are violations of ORU s Honor Code: I will not cheat or plagiarize; I will do my own academic work and will not inappropriately collaborate with other students on assignments. Plagiarism is usually defined as copying someone else s ideas, words, or sentence structure and submitting them as one s own. Other forms of academic dishonesty include (but are not limited to) the a. Submitting another s work as one s own or colluding with someone else and submitting that work as though it were his or hers; b. Failing to meet group assignment or project requirements while claiming to have done so; c. Failing to cite sources used in a paper; d. Creating results for experiments, observations, interviews, or projects that were not done; e. Receiving or giving unauthorized help on assignments. By submitting an assignment in any form, the student gives permission for the assignment to be checked for plagiarism, either by submitting the work for electronic verification or by other means. Penalties for any of the above MAT 099 Latest Revision: 7/25/16 3
infractions may result in disciplinary action including failing the assignment or failing the course or expulsion from the University, as determined by department and University guidelines. 4. Final exams cannot be given before their scheduled times. Students need to check the final exam schedule before planning return flights or other events at the end of the semester. 5. Students are to be in compliance with University, school, and departmental policies regarding Whole Person Assessment (WPA) requirements. Students should consult the WPA handbooks for requirements regarding general education and the students majors. a. The penalty for not submitting electronically or for incorrectly submitting an artifact is a zero for that assignment. b. By submitting an assignment, the student gives permission for the assignment to be assessed electronically. B. Department Policies and Procedures 1. Computer Resources - Each Student who uses the computer is given access to the appropriate computer resources. These limited resources and privileges are given to allow students to perform course assignments. Abuse of these privileges will result in their curtailment. Students should note that the contents of computer directories are subject to review by instructors and the computer administrative staff. 2. Late Exams - Each instructor has his or her own late-exam policy, so an instructor may decide that an exam missed because of an unexcused absence cannot be made up. 3. Unexcused Absences - Any student whose unexcused absences total 33% or more of the total number of class sessions will receive an F for the course grade. 4. Incompletes As stated in the University catalog, incompletes are granted only for good cause, such as extended hospitalization, long-term illness, or a death in the family. Students must petition for an incomplete using the form available in the Computing and Mathematics Department. Very few incompletes are granted. C. Course Policies and Procedures 1. Evaluation Procedures a. Weighted categories may vary depending on the instructor, or software used in the class. The categories of activities are weighted as follows: Exams 40% Homework 40% Classwork 20% Final Exam Will replace the lowest test grade. b. Grading scale: A=90% B=80% C=70% D=60% F=59% and below MAT 099 Latest Revision: 7/25/16 4
Absence, tardiness, late work, or bad behavior can negatively affect your grades. 2. Whole Person Assessment Requirements None VI. COURSE CALENDAR The course calendar for those using a hardcopy of the book is listed below. Those using MyMathLab will find the calendar at MyMathLab.com. Check with the book store or instructor for the book or software needed for this course. Lesson Topic 1-5 Real Numbers 2 Exponents, Order of Operations, and Inequality 9.1 p. 621: 1 through 8, 19, 21, 25, 28, 33, 42, 47, 51 through 58, 62, 66, 70, 77,, 81 3 Variables, Expressions, and Equations 9.2 p. 627: 1-5, 11, 13, 14, 19, 21, 23, 27, evens 34 44, 47 50. 4 Real Numbers and the Number 9.3 p. 637: 1-6, 14, 19 25, 27 33, 45-48 Line 5 Adding Real Numbers 9.4 p. 643: 5 13, 23 25, 29 31, 37-42 6 Subtracting Real Numbers 9.5 p. 651: 1-8, 11, 12, 15, 16, 19, 20, 22, 23 27, 29, 30, 44 46, 49, 51, 61, 62 7 Multiplying and Dividing Real Numbers 9.6 p. 665: 1 6, 9 14, odds 19 27, 32 34, 56, 46, 51, 56 58, 73, 74 8 Properties of Real Numbers 9.7 p. 675: 1 22, 48 51, 61, 62 9 Simplifying Expressions 9.8 p. 683: 1 14, 18, 19, 37, 38, 48, 52 10 Test 1 Chapter 9 11 Addition Property of Equality 10.1 p. 703: 1-3, 5 16, 21 23, 25 28, 33 35 50, 51 12 Multiplication Property of Equality 10.2 1 16, 21 32, 43, 45, 53, 56, 62 13 More on Solving Linear Equations 10.3 p. 719: 7-21, 23, 58, 61, 68 14 Applications of Linear Equations 10.4 p. 731: 3 14, 15, 17 MAT 099 Latest Revision: 7/25/16 5
15 Simplifying Expressions 9.8 p. 683: 5,8, 9,10 11,12, 13, 14, 17, 18, 21, 22, 28, 30, 33, 34, 37, 38, 43, 44 16 Addition Property of Equality 10.1 p. 703: 2, 5, 6, 7, 8, 9, 10, 14, 16, 20, 22, 26, 28, 33, 34, 36, 42, 44, 49, 50 17 Multiplication Property of Equality 10.2 p. 709: 1, 2, 3, 6, 11, 12, 14, 16, 22, 24, 26, 28, 30, 39, 40, 46, 49, 52, 56, 66 18 Solving Linear Equations 10.3 p. 719: 7, 8, 11, 12, 14, 16, 18, 19, 20, 21, 22, 30, 62 19 Linear Graphs 11.1 p. 781: 1, 2, 5, 15, 16, 20, 27, 30, 32, 34, 35, 36, 38, 40, 42, 45, 46, 48, 51, 52, 53 20 Graphing Linear Equations 11.2 p. 795: 1, 2, 4, 6, 9, 10, 13, 14, 16, 22, 24, 25, 26, 28 21 Slope of a Line 11.3 p. 809: 1, 2, 4, 6, 13, 17, 18, 20, 22, 24, 29, 30, 32, 35, 38, 41, 42, 43, 46, 54 22 Equations of Lines 11.4 p. 821: 1, 3, 4, 6, 9, 10, 15, 16, 17, 18, 22, 26, 28 23 Review p. 689: 5, 13, 25, 26, 43, 45, 53, 55, 73, 75, 97, 98 p. 765: 1, 2, 3, p. 839: 5, 9, 12, 21, 25, 27, 43 24 Test 2 Chapters 9, 10, 11 25 Adding and Subtracting Polynomials 12.1 p. 855: 1, 2, 3, 6, 7, 8, 12, 13, 14, 17, 18, 20, 26, 35, 36 41, 53, 54, 55, 56, 63, 64 26 Product and Exponent Rules 12.2 p. 865: 1, 3, 4, 5, 6, 7, 8, 10, 12, 19, 20, 22, 25, 26, 30, 33, 34, 41, 42, 44, 48, 61, 66 27 Multiplying Polynomials 12.3 p. 871: 1, 2, 7, 8, 10, 11, 21, 22, 24, 31, 32 28 Special Products 12.4 p. 877: 1, 3, 4, 6, 8, 10, 15, 16, 18, 21, 22, 24, 25, 28 29 Integer Exponents, Quotient Rule 30 Polynomial Monomial, Polynomial Polynomial 12.5 p. 887: 1, 2, 4, 6, 8, 9, 10, 12, 14, 16, 18, 19, 20, 24, 26, 37, 38, 40, 42, 44, 49, 50, 59, 60 12.6 p. 891: 7, 8, 9, 10, 12, 13 12.7 p. 897: 5, 6, 7, 8, 10 31 Factors 13.1 p. 923: 1, 2, 4, 8, 11, 12, 14, 17, 18, 20, 22, 23, 24, 26, 31, 32, 33, 34, 43, 44 32 Factoring Trinomials 13.2 p. 929: 11, 12, 14, 16, 18, 20, 27, 28, 35, 36, 41, 42, 43, 44, 47, 48, 13.4 p. 939: 3, 4, 6, 8, 15, 16, 18 33 Multiplying Signed Numbers 13.6 p. 953: 11, 14, 16 MAT 099 Latest Revision: 7/25/16 6
13.7 p. 961: 1, 2, 4, 6, 15, 16, 18, 20, 23, 24,33, 34, 39, 40, 42 34 Review 35 Test 3 Chapters 12, 13 36 Evaluating Roots 16.1 p.1129: 7, 8, 10, 12, 17, 18, 20, 24, 27, 31, 32, 36, 43, 44, 48, 51 37 Introduction to Basic Statistics 16.2 p.1139: 3, 4,, 5, 6, 8, 13, 14, 15, 16, 17, 20, 22, 25, 31 41, 42, 43, 44,,45, 46, 53, 54, 63, 64, 70 38 Rationalizing the Denominator 16.3 p. 1145: 5, 6, 8, 10, 11, 14 16.4 p. 1151: 1, 2, 3, 4, 17, 18, 23, 24, 26, 28 39 Solving Equations with Radicals 16.6 p. 1167: 1, 2, 3, 4, 6, 8, 10, 11, 12, 13, 14, 15, 16, 19, 20, 24, 37, 38 40 Solving Quadratic Equations 17.1 p. 1185: 7, 8, 10, 13, 14, 21, 22, 24, 27, 28, 29, 30, 31, 32, 37, 38 41 Solving Equations by Completing the Square 17.2 p. 1195: 1, 2, 3, 4, 6, 9, 10, 12, 13, 17, 18 42 Quadratic Formula 17.3 p. 1201: 1, 2, 3, 4, 7, 8, 9, 10, 15, 16, 21, 22 43 Triangles 7.7 p. 525: 19, 20, 21, 27, 28, 7.4 p. 1, 2, 5, 9, 13, 14, 16 44 Lines and Angles, Review 7.1 p. 472: 1, 2, 3, 7, 8, 9, 10, 12, 13, 14, 19, 20, 22, 23, 24, 28, 29, 30, 32, 34, 36, 50, 52, 45 Test 4 Chapters 16, 17, 7 Final Exam MAT 099 Latest Revision: 7/25/16 7
Course Inventory for ORU s Student Learning Outcomes MAT 099 Introduction to College Mathematics Fall 2016 This course contributes to the ORU student learning outcomes as indicated below: Significant Contribution Addresses the outcome directly and includes targeted assessment. Moderate Contribution Addresses the outcome directly or indirectly and includes some assessment. Minimal Contribution Addresses the outcome indirectly and includes little or no assessment. No Contribution Does not address the outcome. The Student Learning Glossary at http://ir.oru.edu/doc/glossary.pdf defines each outcome and each of the proficiencies/capacities. OUTCOMES & Proficiencies/Capacities Significant Contribution Moderate Contribution Minimal Contribution No Contribution 1 Outcome #1 Spiritually Alive Proficiencies/Capacities 1A Biblical knowledge X 1B Sensitivity to the Holy Spirit X 1C Evangelistic capability X 1D Ethical behavior X 2 Outcome #2 Intellectually Alert Proficiencies/Capacities 2A Critical thinking X 2B Information literacy X 2C Global & historical perspectives X 2D Aesthetic appreciation X 2E Intellectual creativity X 3 Outcome #3 Physically Disciplined Proficiencies/Capacities 3A Healthy lifestyle X 3B Physically disciplined lifestyle X 4 Outcome #4 Socially Adept Proficiencies/Capacities 4A Communication skills X 4B Interpersonal skills X 4C Appreciation of cultural & linguistic differences X 4D Responsible citizenship X 4E Leadership capacity X MAT 099 Latest Revision: 7/25/16 8