PREREQUISITE: MAT100-Introductory Algebra, equivalent, or placement

COREQUISITE: ENG101S and RDG095, if required by placement

REQUIRED TEXTBOOK:

This course uses Open Educational Resources (OER). These are freely accessible educational materials that replace traditional textbooks. A $10 OER fee replaces the cost of a textbook for this course.

REQUIRED MATERIALS:

 A graphing calculator (the TI-83, TI-83 Plus, or TI-84 Plus are strongly recommended).

COURSE OBJECTIVES:

As the result of instructional activities, students will be able to:

1. Determine the x- and y- intercepts of a linear equation 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 of a function algebraically and graphically
15. Identify the range of a function graphically
16. Evaluate a function
17. Graph a function
18. Apply transformations to basic functions
19. Evaluate a piecewise defined function
20. Create cost, revenue and profit functions
21. Find a break-even point
22. Find the equilibrium quantity and price given supply and demand functions
23. Determine whether a parabola opens upward or downward
24. Determine the vertex of a parabola graphically and algebraically using –b/2a
25. Determine the axis of symmetry of a parabola
26. Determine the maximum or minimum value of a quadratic function
27. Find the x-intercepts of a quadratic function algebraically by factoring and using the quadratic formula
28. Find the x-intercepts of a quadratic function using a graphing calculator
29. Find the y-intercept of a quadratic function algebraically and by using a graphing calculator
30. Use a graphing calculator to find a quadratic regression model, where appropriate
31. Use a quadratic regression equation to make predictions
32. Use the simple interest formula
33. Use the compound interest formula
34. Determine whether a system of equations is consistent and independent, dependent, or inconsistent
35. Solve a system of linear equations graphically
36. Solve a system of linear equations algebraically using substitution
37. Solve a system of linear equations algebraically using elimination
38. Solve a system of linear equations using a matrix
39. Graph a linear inequality in two variables
40. Graph a system of linear inequalities and identify the feasible region
41. Formulate a linear programming model
42. Solve a linear programming model graphically
43. Define set, subset, empty set, universal set
44. List the elements of a set
45. Identify the number of elements in a set
46. Use the set operations of union, intersection, and complementation
47. Draw Venn Diagrams to illustrate relationships between sets
48. Determine the sample space of an experiment
49. Determine if two events are disjoint (mutually exclusive)
50. Calculate a factorial
51. Distinguish between a permutation and a combination
52. Calculate a permutation
53. Calculate a combination
54. Calculate basic probabilities
55. Use the addition rule for probability
56. Use the complement rule for probability
57. Calculate a conditional probability
58. Determine if two events are independent
59. Use the product rule for probability

SUNY GENERAL EDUCATION 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; and
5. recognize the limits of mathematical and statistical methods.

GENERAL TOPICS OUTLINE:

1. Linear Equations and Inequalities- including intercepts, slope, writing equations, graphing, inequalities, linear regression
2. Functions and Graphs- including identifying functions, evaluating functions, graphing, domains, applications
3. Quadratic Functions- including graphing, vertex, axis of symmetry, quadratic regression, applications
4. Mathematics of Finance- including simple interest, compound interest
5. Systems of Linear Equations and Matrices- including solving 2x2 systems of linear equations algebraically and graphically, solving 3x3 systems, applications
6. Linear Programming- including graphing systems of linear inequalities, linear programming
7. Set Theory and combinatorics- including definitions, Venn diagrams, set operations, permutations, combinations, applications
8. Probability- including addition rule, complement rule, conditional probability, independence, applications

 The Math Department at CCC recommends that you review the following prerequisite topics to prepare for MAT103:

• Operations (addition, subtraction, multiplication, & division) with integers and fractions
• Simplifying algebraic expressions
• Solving linear equations
• Graphing linear equations
• Domain & range of functions and evaluating functions
• Operations (addition, subtraction, & multiplication) involving polynomials
• Factoring polynomials
• Solving quadratic equations 

You can do this from home by selecting any of the aforementioned topics on the math-tutorial websites listed below; there you will find mini-lectures, worked problems, practice problems and helpful tips.

Reducing Fractions

Multiplying and Dividing Fractions

Adding and Subtracting Fractions

Order of Operations

Simplifying Algebraic Expressions Involving Parentheses

Solving Linear Equations

Solving Linear Equations (additional practice)

Graphing Linear Functions

Slope of a Line

Interpreting Slope and Y-Intercept

Slopes and Equations of Lines

Definition of a Polynomial

Operations with Polynomials

Adding & Subtracting Polynomials 

Adding & Subtracting Polynomials (additional practice)

Multiplying Polynomials

Multiplying Polynomials (additional practice)

Factoring

Basic Factoring

Factoring Polynomials

Solving Quadratic Equations

Solving Quadratic Equations (additional practice)

Functions

Functions (additional practice)

Functional Notation

Study Skills 

Feel free to contact a member of the Math Department or the Math Department Chair.