# MAT 110. College Algebra

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1 Technical College of the Lowcountry Arts & Sciences Division 921 Ribaut Road Building 9, Room 102 Beaufort, SC MAT 110 College Algebra Course Description This course includes the following topics: polynomial, rational, logarithmic, and exponential functions; inequalities; systems of equations and inequalities; matrices; determinants; simple linear programming; solutions of higher degree polynomials. Prerequisites: MAT 102, RDG Cr (3 lect/pres, 0 lab, 0 other) Course Focus Upon satisfactory completion of this course, students should be able to perform the following tasks: 1. Solve and graph first-degree equations and inequalities. 2. Identify and graph relations and functions, including conic sections 3. Operate with and graph polynomial and rational functions 4. Use logarithms and exponential functions 5. Solve systems of simultaneous equations & inequalities 6. Use matrices and determinants to solve systems of equations Text and References Sullivan, Michael. College Algebra, with MyLabsPlus Access Code, 10 th Edition. Pearson, ISBN: (loose-leaf book) OR MyMathLab Plus standalone access code/etext. ISBN: MAT 110 Core Curriculum Competencies All course approved for the general education core curriculum help students develop communications skills and/or critical thinking.

2 This course develops critical thinking skills through instruction that emphasizes the understanding of mathematical concepts and the ability to apply these concepts to solve a problem. This will be demonstrated by assessments at the end of each unit and on the common final exam. The student will demonstrate the following critical thinking objectives: Solve polynomial, rational exponential, logarithmic and radical equations using mathematical principles in a logical process. Solve systems of equations using various mathematical methods including elimination, substitution, graphing, and matrices in a logical process. Apply mathematical principles in a logical process to solve real world problems involving polynomial, rational, exponential, logarithmic, and radical functions as well as systems of equations. Solve rational and polynomial inequalities and systems of inequalities using algebraic and graphical methods in a logical process. This course develops communication skills through instruction that emphasizes the presentation of mathematical ideas in appropriate, clear, and precise mathematical language. The student will demonstrate the following communication objects: Graph polynomial, rational, exponential, logarithmic, and radical functions, interpret the graphs, and explain their properties using appropriate, clear, and precise mathematical symbols and terminology. Interpret and explain solutions of polynomial, rational, exponential, logarithmic, and radical equations and real world problems as well as systems of equations using appropriate, clear, and precise mathematical symbols and terminology. Course Goals: The following list of course goals will be addressed in the course. These goals are directly related to the performance objectives. (*designates a CRUCIAL goal) 1. Add polynomials 2. Compute slope of a line 3. Generate equations of lines 4. Graph linear functions 5. Describe characteristics of circles 6. Identify domain 7. Identify range 8. Determine interval decreasing 9. Determine interval increasing 10. Derive relative maximum values 11. Derive relative minimum values 12. Understand transformations 13. Understand symmetry 14. Analyzing piecewise functions 15. Modeling linear functions 16. Graph quadratic functions 17. Operations with complex numbers

3 18. Analyzing quadratic functions 19. Applying the quadratic formulas 20. Applying completing the square 21. Solving linear inequalities 22. Describe properties of functions 23. Determine solutions to higher degree polynomials 24. Apply the fundamental THM of algebra 25. Graph higher degree functions 26. Discuss rational expressions 27. Compute asymptotes 28. Calculating inverses of functions 29. Transform logarithmic to exponential form 30. Transform exponential to logarithmic form 31. Solve exponential equations 32. Solve logarithmic equations 33. Calculate determinants 34. Solve systems of equations 35. Transform equations to standard form Student Contributions A minimum of 6 hours per week should be spent outside of class to practice and prepare for the material covered in the course. Graphing Calculator (TI-83/84 preferred), Grid paper. Course Evaluation Your final grade will be obtained from the average of your homework and/or quizzes, unit tests, and final exam. The student must earn a grade of C or better in order to pass the course. The grading scale is as follows: = A = B = C = D Below 60 = F Course Schedule The class meets for 3 lecture/presentation hours per week. ADA STATEMENT The Technical College of the Lowcountry provides access, equal opportunity and reasonable accommodation in its services, programs, activities, education and employment for individuals with disabilities. To request

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