Syllabus Information |
Fall 2014
May 08,2024 |
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| MTH 070 - Introductory Algebra |
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Associated Term:
Fall 2014
Learning Objectives: Upon successful completion of this course, the student should be able to: 1. Maintain, use, and expand skills and concepts learned in previous mathematics courses. Perform operations with fractions and decimals. Use unit analysis to convert units and solve problems. 2. Perform addition, subtraction, multiplication, and division of rational numbers. 3. Use and apply the concepts and language of algebraic expressions. Use variables to construct algebraic expressions. Evaluate algebraic expressions and simplify expressions using order of operations. Simplify algebraic expressions by removing parentheses and combining like terms. 4. Solve linear equations and inequalities. Solve linear equations and formulas algebraically. Solve linear inequalities and graph their solutions on a number line and using interval notation. 5. Use algebra to solve application problems. Translate verbal models into algebraic expressions and/or equations. Solve problems. Solve problems using ratios and proportions. Solve problems involving similar triangles. Solve geometry problems involving perimeter, area, and volume. 6. Interpret information, represented numerically and graphically, and recognize linear relationships represented verbally, numerically, graphically, and algebraically. Read and interpret information given in a table or from a graph. Locate points in a rectangular coordinate system and represent equations in two variables graphically. Identify the horizontal and vertical intercepts of the graph of an equation and interpret them in terms of an application. Identify the slope of a line and interpret it in terms of an application. Use the slope-intercept form of the equation of a line. Use the point-slope form of the equation of a line. Recognize the relationship between the slopes of two lines that are parallel or perpendicular. 7. Use information given verbally, numerically, or graphically about a linear relationship between two variables to write a linear equation which models the relationship. Create a scatter plot from given information and “eyeball” a line of best fit. Use the slope-intercept form or the point-slope form of the equation of a line to develop linear models. Apply the concepts of linear modeling to a real-world situation of interest to the student. 8. Solve linear systems of two equations algebraically and graphically. Solve algebraically and by graphing. Solve application problems involving linear systems of equations (including simple interest, motion, and mixture problems.) 9. Evaluate and/or simplify expressions using the rules of exponents. 10. Use scientific notation. 11. Use the terminology of polynomials and add, subtract, multiply and divide polynomials. Recognize and use the terminology of polynomials. Evaluate polynomials. Add, subtract, multiply, and divide polynomials (by a monomial). 12. Factor polynomials. Factor polynomials by removing a common monomial factor. Factor trinomials. Factor special products. 13. Use square roots and cube roots. Evaluate expressions involving square roots or cube roots. Use the properties of square roots to simplify expressions involving square roots and to perform operations with square roots. 14. Recognize and use quadratic equations. Sketch the graph of a quadratic equation in two variables and identify the intercepts and the vertex graphically. Solve a quadratic equation by factoring or by the square root property. 15. Use algebra to solve non-linear applications involving the Pythagorean Theorem. 16. Recognize and use rational expressions. Recognize values of a variable that make a rational expression undefined. Reduce rational expressions to lowest terms. Multiply and divide rational expressions. Add and Subtract rational expressions with like denominators. 17. Make appropriate and efficient use of a scientific calculator. Required Materials: Technical Requirements: |
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