DEPARTMENT OF MATHEMATICS COURSE INFORMATION SHEET FOR MAT100 – INTRODUCTORY ALGEBRA COURSE NUMBER AND TITLE: MAT100 - Introductory Algebra COURSE SECTION: 40C CONTACT HOURS: 4 CREDIT HOURS: 4 (free elective credit only) SEMESTER AND YEAR: Fall 2013 INSTRUCTOR’S NAME, TELEPHONE NUMBER, EMAIL ADDRESS, OFFICE NUMBER, AND OFFICE HOURS: Todd Bailey: 570 – 7074 , todd.bailey@clinton.edu Website: http://webpages.charter.net/bail7546/ I. COURSE DESCRIPTION: This course covers basic algebraic skills essential to the study of mathematics. Course topics include linear expressions, equations and inequalities; systems of equations and inequalities; polynomial, rational and radical expressions and equations; and graphing on the coordinate plane. Applications to various fields of study will be explored. This course counts as free elective credit only. Students must earn a C- or better to take MAT104 College Algebra with Trigonometry I or MAT105 Technical Mathematics I. II. PREREQUISITE: MAT098 – Prealgebra, equivalent or placement III. COURSE OBJECTIVES: Students satisfactorily completing this course will be able to: 1. Communicate using the appropriate mathematical vocabulary 2. Identify algebraic expressions and equations 3. Use appropriate mathematical notation 4. Translate word problems into mathematical expressions or equations and vice versa 5. Complete tables of values using provided equations 6. List the factors of a given number and give the prime factorization of a given number 7. Build up a given fraction to an equivalent fraction with the indicated denominator and simplify a given fraction 8. Convert an improper fraction to an equivalent mixed number and vice versa 9. Perform operations with real numbers 10. Convert between fractions, decimals and percentages revised 6/13 11. Order given real numbers and graph given real numbers on the number line 12. Use the order of operations to simplify algebraic expressions 13. Evaluate an expression by substituting in given values 14. Simplify a given expression by combining like terms and by using the distributive property 15. Solve a given equation, formula and inequality 16. Write clear, coherent solutions that demonstrate an understanding of the math concepts 17. Logically determine if solutions make sense 18. Solve word problems within the context of business, economics, entertainment, health, science, sports, and technology applications 19. Graph a given point on the coordinate plane and identify a point that has been graphed 20. Determine the slope and intercepts of a linear equation 21. Place a linear equation in each of the following forms: slope-intercept form, point-slope form, or general form 22. Write and graph linear relationships 23. Determine if given linear functions are parallel, perpendicular or neither 24. Evaluate functions at a point 25. Determine if a mathematical relationship is a function 26. Determine the domain and range of a function 27. Determine if a given ordered pair is a solution to a system of linear equations or inequalities 28. Solve a system of linear equation by the graphing method, the substitution method and the addition method 29. Solve linear inequalities and systems of linear inequalities and graph their solution set 30. Simplify expressions involving exponents 31. Convert numbers in standard notation to scientific notation and vice versa and use to simplify computations 32. Determine if a given expression is a polynomial and the degree of a given polynomial 33. Perform operations with polynomials 34. Use various factoring techniques to factor polynomials (including factoring out GCF, factoring difference of squares, factoring by grouping, and factoring trinomials). 35. Solve a quadratic equation by factoring and by using the quadratic formula 36. Simplify rational and radical expressions and complex fractions 37. Perform operations with rational and radical expressions 38. Solve simple radical and rational equations 39. Convert expressions with rational exponents to radical form IV. REQUIRED TEXTBOOK AND MATERIALS: REQUIRED TEXTBOOK Introductory Algebra with Nolting Study Skills Workbook and WebAssign, 4th edition; Alan S. Tussy and R. David Gustafson. Brooks/Cole. ISBN #978-1-2852-5456-2 REQUIRED MATERIALS: A scientific calculator (or graphing), pencils, graph paper revised 6/13 V. METHODS OF INSTRUCTION/COURSE ORGANIZATION: The class will be taught using a lecture approach with some small group and individual work. Objectives and homework will be announced at each meeting. Homework must be completed before the next class. If you need help, I am available in room 520M by appointment or you can go to the tutoring center located in room 412M. Working together in study groups is highly recommended. VI. ATTENDANCE PROCEDURE (INCLUDING MAKEUP POLICY): Students must attend classes to be successful. It is the policy of Clinton Community College that students who miss 15% of class can be involuntarily withdrawn from class. Students who come to class late or leave early will receive ½ credit for attendance that day. Makeup policy: I will allow work to be submitted late only when an appointment is made within 24 hours of missing class. VIII. METHODS OF EVALUATION (INCLUDING THE CALCULATION OF COURSE GRADE): Quizzes: 4 Unit Tests Final exam 30% 50% 20% The final exam grade can replace the lowest test grade (provided that it helps the overall grade). The lowest quiz grade will not be calculated into the final grade. IX. GRADING SCALE: > 93% 90%-93% 87%-89% 83%-86% 80%-82% 77%-79% 73%-76% 70%-72% 67%-69% 63%-66% < 63% A AB+ B BC+ C CD+ D F X. GENERAL TOPICS OUTLINE: 1. An Introduction to Algebra (textbook chapter 1) including describing numerical relationships, fractions and decimals, real numbers, operations with real numbers, solving equations, exponents and order of operations, algebraic expressions 2. Equations, Inequalities, and Problem Solving (textbook chapter 2) including solving equations, problem solving, simplifying algebraic expressions, revised 6/13 3. 4. 5. 6. 7. 8. 9. formulas, inequalities Graphs, Linear Equations, and Functions (textbook chapter 3) including graphing using the rectangular coordinate system, equations containing two variables, graphing linear equations and inequalities, the slope of a line, describing linear relationships, writing linear equations and inequalities, functions Solving Systems of Equations and Inequalities (textbook chapter 4) Exponents and Polynomials (textbook chapter 5) including integer exponents, scientific notation, polynomials, operations involving polynomials Factoring and Quadratic Equations (textbook chapter 6) including factoring out the greatest common factor, factoring by grouping, factoring trinomials, solving quadratic equations by factoring Rational Expressions and Equations (textbook chapter 7) including simplifying rational expressions, operations with rational expressions, complex fractions Roots and Radicals (textbook chapter 8) including evaluations square and higher order roots, operations with radicals, solving radical equations and rational exponents Quadratic Equations (textbook chapter 9) solving equations using the Quadratic Formula XI. ACADEMIC INTEGRITY: Academic honesty is expected of all Clinton Community College students. It is academically dishonest, for example, to misrepresent another person’s work as one’s own, to take credit for someone else’s work or ideas, to accept help on a test, to obtain advanced information on confidential test materials, or to intentionally harm another student’s chances for academic success. XII. COURSE CONTINUITY PLAN: In the case that the college officially closes because of an emergency which causes a short term disruption of this course, we will utilize e-mail to continue this course in the short term (1-3 weeks). All students need to utilize their campus email to receive course related information. ACCOMMODATIVE SERVICES: If you have, or suspect you may have, any type of disability or learning problem that may require extra assistance or special accommodations, please speak to me privately after class or during my office hours as soon as possible so I can help you obtain any assistance you may need to successfully complete this course. You should also contact Laurie Bethka, Room 420M in the Accommodative Services Office, for further assistance. TECHNOLOGY STATEMENT: A CCC student should expect that any class may require some course activity that uses a computer and the internet. Activities could include, but are not limited to, accessing the course syllabus, schedule, or other handouts on the website, completing homework online, taking quizzes or submitting written work, participating in a discussion or sending/receiving e-mail. revised 6/13