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Binghamton, New York







DATE Spring 2005

PREREQUISITE: MAT 092 Foundations for College Mathematics I or equivalent.

MAT 096 Objectives

After taking MAT 096 the student should be able to:
Perform skills in four categories: Algebra, Geometry/Trigonometry, Graphing and Problem Solving /Estimation.
Note: Throughout the course the students are expected to solve applied problems related to the topics of the course.


After taking MAT 096 the student should be able to:
1. Solve linear equations . (a complete development)
2. Perform operations on polynomials.
3. Use exponent rules with rational exponents. (a complete development)
4. Simplify rational expressions and perform operations on rational expressions including complex fractions.
5. olve elementary rational equations.
6. Simplify radical expressions.
7. Solve radical equations.
8. Solve and evaluate literal equations.
9. Solve equations with absolute values.
10. Define and evaluate functions using function notation.
11. After a brief review, factor a monomial from a polynomial, factor trinomials, and factor special cases (difference of squares).
12. Factor expressions in quadratic form , expressions that are sum and difference of cubes, and expressions that can be factored by
13. After a brief review, solve quadratic equations by factoring and by using the quadratic formula.
14. Solve quadratic equations by completing the square.
15. Solve higher degree equations by factoring.
16. Identify parallel lines from their equations.
17. After a brief review, solve 2 by 2 systems of linear equations by substitution and elimination.


After taking MAT 096 the student should be able to:
18. Classify angles and triangles using appropriate terminology .
19. Relate the sides and angles of similar triangles.
20. Find the area and perimeter of polygons.
21. Convert between radians and degrees.
22. Find reference angles for angles measured in degrees.
23. Evaluate the six trigonometric functions of general angles measured in degrees.
24. Understand and use right triangle trigonometry.


After taking MAT 096 the student should be able to:
25. Identify and graph the following basic relations:

26. Find equations of lines using point-slope form, slope- intercept form and general form.
27. After a brief review, solve 2 by 2 systems of linear equations by graphing.
28. Graph a parabola by finding the vertex, intercepts, and additional points.

Problem Solving / Estimation:

After taking MAT 096 the student should be able to:
29. Solve applications problems involving 2 by 2 systems of linear equations.
30. Solve application problems with linear and quadratic equations.
31. Solve applications problems involving unit conversions.
32. Solve applications using right triangle trigonometry.
33. Solve application problems with rational equations.


After taking MAT 096 the student should be able to:
34. Use TI 30X II to evaluate higher order roots , find trigonometric and inverse trigonometric values and find equivalent angle
measures in degrees and radians.
35. Use TI 30X II to calculate using scientific notation.


After taking MAT 096 the student should be able to:
36. Complete at least 6 assignments in CourseCompass.
37. Log in to WebCT for access to an assignment sheet, syllabi, lecture notes, assignments, or grades.
38. Receive email from the instructor and access their class calendar through BCCToday or WebCT.
39. Access their own grades for this class online.

Final Exam:

40. A department final will be given for MAT 096. If a faculty member chooses no to give the department final, he/she must submit
the final for review to the course coordinator for approval.
41. Graphing calculators are not permitted for any portion of the final exam. It must be explicitly stated on the final and announced
prior to the exam and at the beginning of the semester.
42. No notecards, formula sheets, or any other aids are permitted for at least 50% of the final exam. That is, at least 50% of the final
must be completed without any assistance.


Rational exponents; polynomials; factoring; functions; rational expressions; linear, quadratic and rational
equations; graphs of basic functions; linear systems; topics in geometry; right triangle trigonometry.

5 Class Hours; Prerequisite: MAT 092 Foundations for College Mathematics II or equivalent.

MAT 096
Elementary Algebra and Trigonometry
Course outline

I. Algebra and Problem Solving
Some Basics of Algebra
Operations and Properties of Real Numbers
Solving Equations
Introduction to Problem Solving
Formulas, Models, and Geometry
Properties of Exponents
Scientific Notation

II. Graphs, Functions, and Linear Equations
Linear Functions: Graphs and Models
Another Look of Linear Graphs
Other Equations of lines
The Algebra of Functions

III. Systems of Equations and Problem Solving
Systems of Equations in Two Variables
Solving by Substitution or Elimination
Solving Applications: Systems of Two Equations
Business and Economic Applications

IV. Inequalities and Problem Solving
Absolute-value Equations and Inequalities

V. Polynomials and Polynomial Functions
Introduction to Polynomials and Polynomial Functions
Multiplication of Polynomials
Common Factors and Factoring by Grouping
Factoring Trinomials
Factoring Perfect-Square Trinomials and Differences of Squares
Factoring Sums of Differences of Cubes
Factoring: A General Strategy
Applications of Polynomial Equations

VI. Rational Expressions, Equations, and Functions
Rational Expressions and Functions: Multiplying and Dividing
Rational Expressions and Functions: Adding and Subtracting
Complex Rational Expressions
Rational Equations
Solving Applications Using Rational Equations
Division of Polynomials
Formulas and Applications

VII. Exponents and Radicals
Radical Expressions and Functions
Rational Numbers as Exponents
Multiplying, Adding, and Subtracting Radical Expressions
Multiplying, Dividing, and Simplifying Radical Expressions
More with Multiplication and Division
Solving Radical Equations

VIII. Quadratic Functions and Equations
Quadratic Equations
The Quadratic Formula
Applications Involving Quadratic Equations
Quadratic Functions and Their Graphs
Problem Solving and Quadratic Functions

IX. The Trigonometric Functions
Angles Relationships and Similar Triangles
Definitions of the Trigonometric Functions
Using the Definitions of the Trigonometric Functions

X. Acute Angles and Right Angles
Trigonometric Functions of Acute Angles
Trigonometric Functions of Non-Acute Angles
Finding Trigonometric Function Values Using a Calculator
Solving Right Triangles

XI. Radian Measure and the Circular Functions
Radian Measure
Applications of Radian Measure

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