MAT 092 - Foundations for College Mathematics II
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: MAT 090 Foundations for College Mathematics I or equivalent
4 Class hours
Learning Outcomes of the Course:
Designed to give the student proficiency in elementary mathematics and provide a firm foundation for credit courses.
Upon successful completion of this course the student will be able to:
Perform skills in three categories: Algebra, Graphing and Problem Solving/Estimation.
Note: Throughout the course the students are expected to simplify and evaluate expressions. They are also expected to solve applied problems related to the topics of the course and use estimation to verify the reasonableness of their results.
1. Know and use order of operations effectively.
2. Solve linear equations.
3. Solve basic literal equations.
4. Solve algebraic proportions.
5. Perform operations with signed numbers.
6. Use exponent rules with integer exponents.
7. Solve linear systems by elimination.
8. Solve linear systems by substitution.
9. Add and subtract polynomials.
10. Multiply polynomials.
11. Divide polynomials by monomials.
12. Perform arithmetic operations with square roots. (not algebraic expressions)
13. Simplify algebraic monomials inside a square root.
14. Add and subtract algebraic fractions with common denominators.
15. Multiply and divide algebraic fractions.
16. Factor a monomial from a polynomial.
17. Factor second degree polynomials.
18. Simplify rational expressions by factoring.
19. Solve quadratic equations by factoring and the square root property.
20. Solve quadratic equations by using the quadratic formula.
21. Solve linear inequalities.
22. Know the rectangular coordinate system.
23. Find the slope of a line.
24. Find the slope-intercept equation of a line.
25. Find equations of vertical and horizontal lines.
26. Graph linear equations in two variables.
27. Solve linear systems by graphing.
28. Graph parabolas by plotting points and by using the intercepts.
29. Find the axis of symmetry of a parabola.
30. Graph solutions of linear inequalities.
31. Solve problems using scientific notation.
32. Solve application problems using linear systems of equations.
33. Write mathematical notation that is consistently correct.
34. Describe in writing problem solving methods.
35. Work as a member of a team to solve problems.
36. Solve applied problems.
37. Use estimation in problem solving.
In the context of the course objectives listed above, upon successful completion of this course the student will be able to:
1. Interpret and draw inferences from mathematical models such as formulas, graphs, tables and schematics.
2. Represent mathematical information symbolically, visually, numerically and verbally.
3. Employ quantitative methods such as arithmetic, algebra, geometry, or statistics to solve problems.
4. Estimate and check mathematical results for reasonableness.
5. Recognize the limitations of mathematical and statistical methods.
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