PREREQUISITE:  C- or better in MAT100 Introductory Algebra, equivalent, or placement

COREQUISITE: ENG 101S and RDG 095, 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)
• A laptop or netbook is recommended for use with MyOpenMath

COURSE OBJECTIVES:

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

1. Solve linear equations and inequalities.
2. Simplify expressions involving integer and rational exponents.
3. Perform operations on polynomial and radical expressions.
4. Factor polynomials and expressions with rational exponents.
5. Solve quadratic equations by factoring, extraction of roots, completing the square, and the quadratic formula.
6. Find the domain and range of relations and functions.
7. Determine if a relation is a function; use function notation.
8. Find the intercepts and critical points of functions, including extrema and points of inflection.
9. Determine where functions are increasing, decreasing, and have symmetry.
10. Graph linear, absolute value, quadratic, cubic, square root, and greatest integer functions.
11. Apply transformations of horizontal and vertical shifts, reflections, and dilations to graphs.
12. Graph piecewise functions.
13. Perform operations on functions, including compositions.
14. Determine if functions are one-to-one and find the inverse of functions.
15. Graph and identify the features of linear functions; find and interpret the rate of change.
16. Graph and identify the features of polynomial functions; find the intercepts, linear factors, end behaviors, and turning points.
17. Find and use linear and polynomial regression models for real-world data.
18. Perform operations on rational expressions.
19. Graph and identify the features of rational functions; find the intercepts, asymptotes, holes, and interpret short run and end behaviors.
20. Use exponential functions to model exponential growth and decay, compound interest, and continuous compound interest.
21. Convert between exponential and logarithmic forms.
22. Evaluate logarithms and use change-of-base formula.
23. Use the properties of logarithms; expand and condense logarithms.
24. Solve exponential and logarithmic equations.
25. Find and use exponential, logarithmic, and logistic models for real-world data.
26. Find the values of trigonometric functions of acute angles in right triangles.
27. Use right triangle trigonometry to solve applications.                             

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. Review of Fundamental Skills- including linear equations and inequalities, integer and rational exponents, operations with polynomials, factoring, operations with radicals, and solving quadratic equations
2. Functions and Their Graphs- including function definition, domain and range, features, combinations, families of functions, graphical transformations, and inverse functions
3. Linear and Polynomial Functions- including graphs and equations of linear functions; vertex, intercepts, graphs and equations of quadratic functions; regression and modeling
4. Rational Functions- including graphs and equations of rational functions; intercepts, asymptotes, holes, and short-run/long-run behaviors
5. Exponential and Logarithmic Functions- including evaluating and solving exponential and logarithmic functions, converting between the forms, properties of logarithms, and regression and modeling
6. Right Triangle Trigonometry- including six basic trigonometric functions, applications

 The Math Department at CCC recommends that you review the following prerequisite topics to be successful in MAT104:

1. Fractions: Reducing, adding and subtracting, multiplying and dividing
2. Translating: Sentences into algebraic expressions and equations, then simplifying and solving them
3. Solving: Equations containing one variable
4. Order of Operations: Evaluating expressions
5. Factoring: factoring our the GCF and factoring trinomials
6. Basic Graphing on the Coordinate Plane 

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.