COURSE SYLLABUS FOR INTERMEDIATE ALGEBRA
As identified in the KCTCS and the BSCTC Catalogs: | ||
Course Prefix and Number: | MT 120 | |
Course Title: | Intermediate Algebra with Applications | |
Course Credit Hours: | 3 credits | |
Official Course Description: | This course includes
exponents , polynomials, radicals, radical expressions, graphing in the plane, functions, linear and quadratic equations, linear inequalities, systems of linear equations and inequalities, and appropriate applications |
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Course Prerequisites: | MT 065 or equivalent as
determined by KCTCS placement examination |
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Approved Course Competencies (KCTCS
General Education Competency Statements and General Education Requirements). |
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I. Communicate Effectively | 1. 2. 3. 4. |
Read and listen with comprehension. Speak and write clearly using Standard English. Interact cooperatively with others using both verbal and non-verbal means. Demonstrate information processing through basic computer skills. |
II. Think Critically | 1. 2. 3. |
Make connections in learning across
the disciplines and draw logical conclusions. Demonstrate problem solving through interpreting, analyzing, summarizing, and/or integrating a variety of materials. Use mathematics to organize, analyze, and synthesize data to solve a problem. |
III. Learn Independently | 1. 2. 3. 4. |
Use appropriate search strategies and
resources to find, evaluate, and use information. Make choices based upon awareness of ethics and differing perspectives/ideas. Apply learning in academic, personal, and public situations. Think creatively to develop new ideas, processes, or products |
IV. Examine Relationships in Diverse and Complex Environments |
1. 2. 3. |
Recognize the relationship of the individual to
human heritage and culture. Demonstrate an awareness of the relationship of the individual to the biological and physical environment. Develop an awareness of self as an individual member of a multicultural global community. |
Course Outcomes (competencies) |
Student achieving a passing grade
will be able to demonstrate proficiency in the following areas, to a degree commensurate with the grade received. |
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1. Factor a polynomial completely . 2. Solve equations involving rational expressions. 3. Distinguish between a function and a relation. 4. Find the domain and range of a function. 5. Distinguish between a relation and a function. 6. Graph linear functions and find the slope. 7. Recognize the different forms of a linear equation. 8. Find the intercepts of a linear equation. 9. Solve systems of linear equations using different methods . 10. Solve linear inequalities in one and two variables . 11. Simplify radical expressions. 12. Solve equations involving radical expressions. 13. Perform basic operations on complex numbers . 14. Solve quadratic equations by factoring. 15. Solve quadratic equations by the square root property . 16. Solve quadratic equations by completing the square. 17. Solve quadratic equations using the quadratic formula . 18. Graph quadratic functions. 19. Solve applications problems using the above competencies in real world application. |
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Course Outline | Lesson-1: Common factor Lesson-2: Monic Quadratics Lesson-3: General Quadratics Lesson-4: Special Factoring Lesson-5 and 6: Rational Expressions Lesson-7: Addition and Subtraction of Rational Expressions Lesson-8: Solving Rational Equations Lesson-9: Applications of Rational Equations Lesson-10: Plotting points in the Plane and Functions Lesson-11: Linear Functions Lesson-12: Applications of Linear Functions Lesson-13: Solving Systems of Equations by Graphing Lesson-14: Solve Systems of Equations by Substitution Lesson-15: Solve Systems of Equations by Elimination Lesson-16: Applications of Functions Lesson-17: Interval Notation and Compound Inequalities Lesson-18: Absolute Value Equations and Inequalities Lesson-19: System of Linear inequalities in Two Variables Lesson-20: Radical Expressions and Rational Exponents Lesson-21: Simplifying Radical Expressions Lesson-22: Division of Radical Expressions Lesson-23: Solving Radical Equations and Applications Lesson-24: Complex Numbers Lesson-25: Solving Quadratic Equations by Completing the Square Lesson-26: Solving Quadratic Equations with the Formula Lesson-27: Applications Lesson-28: Quadratic Functions and Graphing |
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