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Course Criteria
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Write equations of a given line in point-slope, slope-intercept and general forms. Find equations of parallel, perpendicular, vertical and horizontal lines. Identify parallel and perpendicular lines from the equations. Graph linear equations in two variables using x-y coordinate system. Graph solutions of linear inequalities. Define and evaluate functions using function notation. Formulate and solve problems involving linear equations and linear functions. Solve linear literal equations and linear inequalities. Prerequisite- Corequisite Prerequisite: MAT 081 Fractions, Decimals and Percents
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Methods for solving 2-by-2 and 3-by-3 systems of linear equations. Graphing, substitution, elimination, and row operation methods will be discussed and used. Applications of linear systems will be presented. Prerequisite- Corequisite Prerequisite: MAT 082 Linear Equations
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Arithmetic of polynomials: Addition, subtraction, multiplication, and division. Factoring polynomials, including special forms. Solving polynomial equations. Applications of polynomial functions will be presented. Prerequisite- Corequisite Prerequisite: MAT 082 Linear Equations
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Simplify square roots of non-square numbers and variable expressions. Solve quadratic equations by factoring, the square root property, completing the square, and the quadratic formula. Graph a parabola by finding the vertex, intercepts, and axis of symmetry. Graph a circle given its equation. Use completing the square to graph circles and parabolas. Compare the graphing traits of functions and non-functions. Apply the vertical line test. Determine the range of a function. Solve application problems with quadratic equations. Prerequisite- Corequisite Prerequisite: MAT 084 Polynomials
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Simplify rational expressions by factoring. Determine the domain of a rational function. Add, subtract, multiply and divide algebraic fractions. Simplify complex fractions. Evaluate complicated formulas using a scientific calculator. Solve rational equations that reduce to linear or quadratic form. Solve and evaluate literal equations. Solve application problems with rational equations. Prerequisite- Corequisite Prerequisite: MAT 085 Quadratic Equations and Circles
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Classification of polygons, quadrilaterals, triangles and angles; measurement of angles with protractor; similar and congruent triangles; Pythagorean Theorem; definition of circle; measure in English and Metric units; perimeter and area of polygons; circumference and area of circle; surface area and volume of cones, spheres, prisms, pyramids and cylinders. Prerequisite- Corequisite Prerequisite: MAT 081 Fractions, Decimals and Percents
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Convert between radians and degrees, reference angles in degrees and radians, exact trigonometric ratios in 30o -60o -90o triangles and 45o -45o -90o triangles, values of six trigonometric functions using right triangles, applications using right triangles, evaluate six trigonometric functions of general angles and inverse trigonometric values in degrees and radians. Prerequisite- Corequisite Prerequisite: MAT 087 Geometry
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Arithmetic of whole numbers, fractions, decimals and signed numbers. Percent, ratio and proportion. Measurement, metric units and basic geometric concepts. Language of algebra and solving simple equations. Descriptive statistics. Estimation, problem solving, critical thinking, writing and communication skills are developed in group activities. This course is designed to provide the skills necessary for students to successfully complete MAT 092, MAT 113.
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Signed numbers, exponents and equations in one variable. Evaluating formulas and algebraic expressions. Factoring and the distributive property. Graphing, solving linear equations and inequalities in two variables. Estimation, problem solving, critical thinking, writing, and communication skills are developed in group activities. Prerequisite- Corequisite Prerequisite: MAT 090 Foundations for College Mathematics I or equivalent.
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Arithmetic of real numbers. Percent, ratio and proportion. Basic geometric concepts. Language of algebra and solving equations. Evaluating formulas and algebraic expressions. Factoring and the distributive property. Quadratic equations. Perimeter, volume, and area applications. Graphing, solving linear equations and inequalities in two variables. Estimation, problem solving, critical thinking, writing, and communication skills are developed in group activities. This course is designed to provide the skills necessary for students to successfully complete MAT 096, MAT 113, MAT 115, MAT 117, MAT 119. Learning Outcomes of the Course: Upon successful completion of this course the student will be able to: Perform skills in four categories: Arithmetic, Algebra/Basic Geometry, Graphing and Problem Solving/Estimation. Note: Throughout the course the students are expected to solve applied problems related to the topics of the course. Arithmetic 1. Perform basic operations on real numbers with and without the use of a calculator. 2. Write fractions in equivalent forms. 3. Convert between decimals, fractions and percents (including rounding). 4. Define whole number exponents and evaluate numerical expressions with whole numbers exponents. 5. Find the prime factorization of a number. 6. Recognize, use and understand the commutative, the associative, and the distributive laws of real numbers. 7. Know and use order of operations effectively. Algebra/Basic Geometry 8. Find perimeter, area and volume of various geometric objects. 9. Use and understand the Pythagorean Theorem, similarity and congruence. 10. Combine like terms for basic linear algebraic expressions. 11. Solve linear equations. 12. Solve literal equations. 13. Solve algebraic proportions. 14. Perform operations with signed numbers. 15. Use exponent rules with integer exponents. 16. Solve linear systems with 2 equations and 2 unknowns by substitution and elimination. 17. Add, subtract and multiply polynomials. 18. Divide polynomials by monomials. 19. Perform arithmetic operations with square roots. 20. Simplify algebraic monomials inside a square root. 21. Add and subtract algebraic fractions with common denominators. 22. Multiply and divide algebraic fractions. 23. Factor a monomial from a polynomial. 24. Factor second degree polynomials. 25. Simplify rational expressions by factoring. 26. Solve quadratic equations by factoring and by using the quadratic formula. 27. Solve linear inequalities. Graphing 28. Know the rectangular coordinate system. 29. Find the slope of a line. 30. Find the slope-intercept equation of a line. 31. Find equations of vertical and horizontal lines. 32. Graph linear equations in two variables. 33. Solve linear systems by graphing. 34. Graph parabolas by plotting points and by using the intercepts. 35. Find the axid of symmetry of a parabola. 36. Graph solutions of linear inequalities. Problem Solving/Estimation 37. Solve applied problems. 38. Solve percent application problems. 39. Solve percent application problems. 40. Formulate and solve problems involving linear equations. 41. Use estimation in problem solving. Make estimates by developing a sense of relative number size. 42. Construct and interpret graphs and charts with appropriate scales. 43. Solve application problems involving unit conversions. 44. Solve application problems using linear systems of equations with 2 equations and 2 unknowns. 45. Write mathematical notation that is consistently correct. 46. Describe problem solving methods in writing. 47. Work as a member of a team to solve problems. 48. Evaluate complicated formulas, including complex fractions, using a scientific calculator. 49. Use the formulas for area of standard quadrilaterals and triangles. 50. Use the formulas for area and circumference of a circle. 51. Use formulas for volume of a rectangular solid, a cylinder, and a sphere. Calculator 52. Use, +, -, *, ΒΈ, square, square root, and power functions. 53. Use the fraction key. 54. Use the percent key. 55. Use parentheses keys. 56. Use storage and recall functions. 57. Use Pi Key.
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