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

COREQUISITE: ENG101S and RDG095, if required by placement

REQUIRED ACCESS CODE: 

MyMathLab with Pearson eText - Standalone Access Card - for Basic Technical Mathematics, 11th/E, Pearson; Washington & Evans.

ISBN# 9780134764702

The MyMathLab (MML) card provides you access to the MML online learning system, which includes an e-text, video lectures, practice problems, and online homework assignments. A hardcopy of the textbook is not required for this course.

REQUIRED MATERIALS:

 A graphing calculator (the TI-83, TI-83 Plus, or TI-84 Plus)

COURSE OBJECTIVES:

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

1. Demonstrate understanding of real, rational, and irrational numbers
2. Perform operations on signed numbers
3. Use the laws of exponents
4. Solve problems involving the Order of Operations
5. Demonstrate the use of basic metric units and dimensional analysis
6. Use the terminology of algebraic expressions
7. Evaluate literal expressions
8. Solve first-degree equations in one variable
9. Analyze and solve word problems involving the use of linear and quadratic equations and functions
10. Graph and interpret functions
11. Graph scatter plots of data given in tables
12. Find linear equation models for data approximated by first degree equations
13. Add and subtract polynomials
14. Multiply polynomials using special products, long multiplication, and the FOIL method
15. Divide polynomials
16. Use various methods to factor polynomials
17. Add, subtract, multiply, and divide rational expressions
18. Simplify complex fractions
19. Solve equations involving rational expressions
20. Convert back and forth among standard notation, scientific notation, and engineering notation
21. Solve quadratic equations by factoring and by the quadratic formula
22. Solve incomplete quadratic equations
23. Find quadratic equation models for data approximated by second degree equations
24. Use the Cartesian coordinate system to graph and interpret equations in two variables
25. Demonstrate knowledge of the slope-intercept form
26. Demonstrate knowledge of the point-slope form
27. Solve systems of linear equations by graphing, addition method, substitution method, and (optional) by determinants
28. Identify basic geometric shapes
29. Use formulas to find perimeter and area of basic two-dimensional geometric shapes
30. Use formulas to find surface area and volume of basic three-dimensional geometric shapes
31. Define and evaluate trigonometric functions from 0° to 90° and their inverses
32. Analyze and solve right triangles
33. Use binary and hexadecimal notation
34. Convert between decimal, binary, and hexadecimal notation

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. Fundamental Concepts and Operations of Algebra (textbook chapter 1)- including arithmetic and real number system, order of operations, rules of exponents, scientific notation, significant digits, accuracy, precision, metric system, dimensional analysis, roots and radicals, operations with algebraic expressions, linear equations and formula manipulation, applications of linear equations
2. Functions and Graphs (textbook chapters 3 and 5)- including functions, rectangular coordinate system, graphs of functions, slope, distance formula, slope-intercept form, graphing scatter plots from data, curve-fitting with data approximated by linear functions, parallel and perpendicular lines
3. Geometry (textbook chapter 2)- including angles and lines, triangles, quadrilaterals, circles, surface area and volume of geometric solids
4. Trigonometric Functions (textbook chapter 4)- including trigonometric ratios (sine, cosine, tangent), values of trig functions, inverse trig functions, solving right triangles, applications of right triangles
5. Factoring and Algebraic Fractions (textbook chapter 6)- including special products, factoring algebraic functions, other forms of factoring, equivalent fractions, addition, subtraction, multiplication and division of algebraic fractions, complex fractions, equations with fractions
6. Systems of Linear Equations (textbook chapter 5)- including solving systems of linear equations in two variables graphically, algebraically, and by using determinants(optional), solving systems of linear equations in three variables (optional)
7. Quadratic Equations (textbook chapter 7)- including solving quadratic equations by factoring, solving quadratic equations by graphing, solving quadratic equations by completing the square (optional), solving quadratic equations by the quadratic formula, curve-fitting with data approximated by quadratic functions, applications
8. Binary and Hexadecimal Notation (supplemental materials)- including using binary notation, using hexadecimal notation, converting between decimal, binary, and hexadecimal notation
   

 

The Math Department at CCC recommends that you review the following prerequisite topics to prepare for MAT105:

• Types of numbers
• 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, & division) 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.

Types of Numbers

Rational & Irrational Numbers

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)

Dividing Polynomials

Dividing Polynomials (additional practice)

Factoring

Basic Factoring

Factoring Polynomials

Special Factoring Formulas

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.