Call Now: (800) 537-1660
 Home    Why?     Free Solver   Testimonials    FAQs    Product    Contact

# Math Courses

Here is what you can expect to see on the tests:

Elementary Algebra
A total of 12 questions are administered in this test.

• The first type involves operations with integers and rational numbers, and includes computation with integers and negative rationals, the use of absolute values , and ordering.
• A second type involves operations with algebraic expressions using evaluation of simple formulas and expressions, and adding and subtracting monomials and polynomials. Questions involve multiplying and dividing monomials and polynomials, the evaluation of positive rational roots and exponents, simplifying algebraic fractions , and factoring.
• The third type of question involves the solution of equations , inequalities, word problems. solving linear equations and inequalities, the solution of quadratic equations by factoring, solving verbal problems presented in an algebraic context, including geometric reasoning and graphing, and the translation of written phrases into algebraic expressions.

Integers and Rationals
Algebraic Expressions
Equations, Inequalities, and Word Problems;

Sample question: 2x + 3x + y =
a) 6xy
b) 5x + y
c) 5(x + y)
d) 6x + y

•Here are some of the knowledge and skills associated with the elementary algebra test:

•a sense of order relationships and the relative size of signed numbers

•the ability to multiply a whole number by a binomial

•perform operations with signed numbers

•combine like terms

•multiply binomials

•evaluate algebraic expressions

factor quadratic expressions in the form ax2 + bx + c, where a = 1

•factor the difference of squares

•square binomials

•solve linear equations with integer coefficients

•simplify algebraic expressions

factor quadratic expressions where a = 1

•solve linear equations with fractional and literal coefficients and linear inequalities with integer coefficients

•solve systems of equations

•identify graphical properties of equations and inequalities

------------------------------------------------------------------------------------------------------------

College Level Math Test
There are 20 questions on the College-Level Mathematics.

The College-Level Mathematics test assesses from intermediate algebra through precalculus.

Algebraic operations includes simplifying rational algebraic expressions, factoring, expanding polynomials, and manipulating roots and exponents.
• Solutions of equations and inequalities includes the solution of linear and quadratic equations and inequalities, equation systems and other algebraic equations.
• Coordinate geometry includes plane geometry, the coordinate plane , straight lines, conics, sets of points in the plane, and graphs of algebraic functions.
• Applications and other algebra topics ask about complex numbers, series and sequences, determinants, permutations and combinations , fractions, and word problems.
• The last category, functions and trigonometry, presents questions about polynomials, algebraic, exponential, logarithmic and trigonometric functions .

Algebraic Operations
Solutions of Equations and Inequalities
Coordinate Geometry
Functions
Trigonometry
Applications and other Topics

The Algebraic Operations content area includes simplification of rational algebraic expressions, factoring and expanding polynomials, and manipulating roots and exponents. The Solutions of Equations and Inequalities content area includes the solution of linear and quadratic equations and inequalities, systems of equations, and other algebraic equations. The Coordinate Geometry area presents questions involving plane geometry, the coordinate plane, straight lines, conics, sets of points in the plane, and graphs of algebraic functions. The Functions content area includes questions involving polynomial, algebraic, exponential, and logarithmic functions. The Trigonometry area includes trigonometric functions. The Applications and other Algebra Topics area contains complex numbers, series and sequences, determinants, permutations and combinations, factorials, and word problems. A total of 20 questions are administered on this test.

Sample question: If the 1st and 3rd terms of a geometric sequence are 3 and 27, respectively, then the 2nd term could be
a) 6
b) 9
c) 12
d) 15
e) 18

Here are some of the knowledge and skills associated with the College-Level Math test.

•identify common factors
•factor binomials and trinomials
•manipulate factors to simplify complex fractions.
•work with algebraic expressions involving real number exponents
•factor polynomial expressions
•simplify and perform arithmetic operations with rational expressions, including complex fractions
•solve and graph linear equations and inequalities
•solve absolute value equations
•graph simple parabolas
•understand function notation, such as determining the value of a function for a specific number in the domain
•a limited understanding of the concept of function on a more sophisticated level, such as determining the value of the composition of two functions
•a rudimentary understanding of coordinate geometry and trigonometry
•understand polynomial functions
•evaluate and simplify expressions involving functional notation, including composition of functions
•solve simple equations involving trigonometric functions, logarithmic functions, and exponential functions
•perform algebraic operations and solve equations with complex numbers
•understand the relationship between exponents and logarithms and the rules that govern the manipulation of logarithms and exponents
•understand trigonometric functions and their inverses
•solve trigonometric equations
•manipulate trigonometric identities
•solve right-triangle problems
•recognize graphic properties of functions such as absolute value, quadratic, and logarithmic

Note: Here are the USU course descriptions. If you don’t recognize part of the description, plug it into the suggested above web sites or your internet search box. There is an abundance of information for you to review.

MATH 0900 Elements of Algebra 3©
Review of elementary algebra in preparation for MATH 1010. Remedial class not carrying USU or transfer credit. Remedial fee required. Graded Pass /Fail only.

Linear equations and inequalities, polynomials and exponents, rational expressions, roots and radicals, quadratic equations, lines and systems of linear equations. Prerequisite: C- or better in MATH 0900 or Math ACT score of at least 23 (Math SAT score of at least 540) within the Math prerequisite acceptability time limit; or satisfactory score on Math Placement Test . Course fee required.

MATH 1030 QL Quantitative Reasoning 3
Exploration of contemporary mathematical thinking, motivated by its application to problems in modern society. Emphasizes development of skill in analytical reasoning. Prerequisite: C- or better in MATH 1010 or Math ACT score of at least 23 (Math SAT score of at least 540) within the Math prerequisite acceptability time limit; or satisfactory score on Math Placement Test.

MATH 1050 QL College Algebra 4©
Real and complex number systems, graphs, inverse functions, polynomial and rational functions, exponential and logarithmic functions, systems of equations, elementary matrix algebra, induction, binomial theorem, permutations and combinations. Graphing calculator required . Prerequisite: C- or better in MATH 1010, or Math ACT score of at least 23 (Math SAT score of at least 540), or AP calculus score of at least 3 on the AB exam within the Math prerequisite acceptability time limit; or satisfactory score on Math Placement Test.

Trigonometric functions, equations, identities, and applications. Graphing calculator required . Prerequisite: C- or better in MATH 1010 (or MATH 1050), or Math ACT score of at least 23 (Math SAT score of at least 540), or AP calculus score of at least 3 on the AB exam within the Math prerequisite acceptability time limit; or satisfactory score on Math Placement Test. May be taken concurrently with MATH 1050.

MATH 1100 QL Calculus Techniques 3
Techniques of elementary calculus, differentiation, integration, elementary optimization, and introduction to partial derivatives. Applications in business, social science, and natural resources. Graphing calculator required. Prerequisite: C- or better in MATH 1050 or Math ACT score of at least 25 (Math SAT score of at least 580) within the Math prerequisite acceptability time limit; or satisfactory score on Math Placement Test.
MATH 1210 QL Calculus I 4 Analytic geometry, differential and integral calculus, transcendental functions, and applications. Graphing calculator required. Prerequisite: C- or better in

MATH 1050 and 1060, or Math ACT score of at least 27 (Math SAT score of at least 620), or AP calculus score of at least 3 on the AB exam within the Math prerequisite acceptability time limit; or satisfactory score on Math Placement Test.

STAT 1040 QL Introduction to Statistics 3©
Descriptive and inferential statistical methods. Emphasis on conceptual understanding and statistical thinking. Examples presented from many different areas. Prerequisite: C- or better in MATH 1010 or Math ACT score of at least 23 (Math SAT score of at least 540) within the Math prerequisite acceptability time limit; or satisfactory score on Math Placement Test.

STAT 2000 QI Statistical Methods 3©
Introduction to statistical concepts, graphical techniques, probability, distributions, estimation, one and two sample testing, chi-square tests, and simple linear regression. Prerequisite: C- or better in MATH 1050 or Math ACT score of at least 23 (Math SAT score of at least 540) within the Math prerequisite acceptability time limit; or satisfactory score on Math Placement Test.

Descriptive and inferential statistics, probability, sampling, estimation, tests of hypotheses, linear regression and correlation, chi-square tests, analysis of variance, and multiple regression. Prerequisite: C- or better in MATH 1050 or Math ACT score of at least 25 (Math SAT score of at least 580) within the Math prerequisite acceptability time limit; or satisfactory score on Math Placement Test.

# Syllabus for Finite Mathematics

I. COURSE DESCRIPTION:
This course emphasizes mathematical skills and techniques applicable to business, life sciences and
social sciences. Course topics include linear functions, quadratic functions, mathematics of finance,
systems of equations, matrices, linear programming , set theory, combinatorics, and basic probability .
The use of a graphing calculator is required for this course to further the exploration of these topics
and their applications.
This course meets the SUNY General Education Requirements for Mathematics.

II. COURSE PREREQUISITE:
MAT100-Introductory Algebra or equivalent

III. TEXT AND MATERIALS:
• Finite Mathematics for Business, Economics, Life Sciences, and Social Sciences, 11th edition, by
Raymond A. Barnett, Michael R. Ziegler, and Karl E. Byleen.
Prentice Hall . ISBN # 0-135-14385-3
• A graphing calculator (TI-83 Plus or TI-84 Plus recommended)
• Pencils
• A 3-ring binder and highlighter (recommended)

Supplemental Resources (not required):
CourseCompass with MyMathLab is an online course that can be used to access online activities and
resources, such as video lectures, practice problems, and sample tests. You need a MyMathLab
Student Access Code to access the course.

IV. COURSE OBJECTIVES AND SUNY GENERAL EDUCATION KNOWLEDGE
AREA LEARNING OUTCOMES:

Course Objectives:

As the result of instructional activities, students will be able to:
1. Determine the x- and y- intercepts of a graph algebraically and graphically
2. Calculate the slope of a line
3. Write an equation of a line given the y-intercept and the slope
4. Write an equation of a line given one point and the slope
5. Write an equation of a line given two points
6. Write an equation of a vertical line
7. Write an equation of a horizontal line
8. Use a graphing calculator to draw a scatterplot
9. Use a graphing calculator to find a linear regression model, where appropriate
10. Use a linear regression equation to make predictions
11. Solve a linear inequality
12. Determine if a given relation is a function
13. Identify the family to which a function belongs
14. Identify the domain and range of a function
15. Evaluate a function
16. Graph a function
17. Apply transformations to basic functions
18. Create cost, revenue and profit functions
19. Find a break-even point
20. Find the equilibrium quantity and price given supply and demand functions
21. Determine whether a parabola opens upward or downward
22. Determine the vertex of a parabola graphically and algebraically using –b/2a
23. Determine the axis of symmetry of a parabola
24. Determine the maximum or minimum value of a quadratic function
25. Use a graphing calculator to find a quadratic regression model, where appropriate
26. Use a quadratic regression equation to make predictions
27. Use the simple interest formula
28. Use the compound interest formula
29. Determine whether a system of equations is consistent and independent, dependent, or inconsistent
30. Solve a system of linear equations graphically
31. Solve a system of linear equations algebraically using substitution
32. Solve a system of linear equations algebraically using elimination
33. Solve a system of linear equations using a matrix
34. Graph a linear inequality in two variables
35. Graph a system of linear inequalities and identify the feasible region
36. Formulate a linear programming model
37. Solve a linear programming model graphically
38. Define set, subset, empty set, universal set
39. List the elements of a set
40. Identify the number of elements in a set
41. Use the set operations of union, intersection, and complementation
42. Draw Venn Diagrams to illustrate relationships between sets
43. Determine the sample space of an experiment
44. Determine if two events are disjoint (mutually exclusive)
45. Calculate a factorial
46. Distinguish between a permutation and a combination
47. Calculate a permutation
48. Calculate a combination
49. Calculate basic probabilities
50. Use the addition rule for probability
51. Use the complement rule for probability
52. Calculate a conditional probability
53. Determine if two events are independent
54. Use the product rule for probability

SUNY General Education Knowledge Area Learning Outcomes:
Students will demonstrate the ability 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. use arithmetical, algebraic, geometric and statistical methods to solve problems ;
4. estimate and check mathematical results for reasonableness, determine alternatives and select
optimal results; and
5. recognize the limits of mathematical and statistical methods.

V. GENERAL TOPICS OUTLINE

1. Linear Equations and Inequalities ( textbook chapter 1)
including intercepts, slope, writing equations, graphing, inequalities, linear regression

2. Functions and Graphs (textbook chapter 2)
including identifying functions, evaluating functions, graphing, domains, applications

3. Quadratic Functions (textbook chapter 2)
including graphing, vertex, axis of symmetry, quadratic regression, applications

4. Mathematics of Finance (textbook chapter 3)
including simple interest, compound interest

5. Systems of Linear Equations and Matrices (textbook chapter 4)
including solving 2x2 systems of linear equations algebraically and graphically, solving 3x3 systems,
applications

6. Linear Programming (textbook chapter 5)
including graphing systems of linear inequalities, linear programming

7. Set Theory and Combinatorics (textbook chapter 7)
including definitions, Venn diagrams, set operations, permutations, combinations, applications

8. Probability (textbook chapter 8)
including addition rule, complement rule, conditional probability, independence, applications