Tech Math Materials

Technical Mathematics I 
Major Update 3/11/2008

This page features PowerPoint files created by Pete Esser for the SWTC course Techncical Mathematics I.  The textbook is Introduction to Technical Mathematics, 5th edition by Washington, Triola, and Reda.  Published Pearson/Addison-Wesley.

Chapter 1 Signed Numbers

    Section 1    Signed Numbers   
    Section 2    Addition and Subtraction of Signed Numbers
    Section 3    Multiplication and Division of Signed Numbers
    Section 4    Powers and Roots
    Section 5    Order of Operations
    Section 6    Scientific Notation
    Section 7    Problem Solving Strategies

Chapter 2 Units of Measurement and Approximate Numbers

    Section 1    Working with Units of Measure
    Section 2    Units of Measurement: The Metric System
    Section 3    Reduction and Conversion of Units   
    Section 4    Approximate Numbers and Significant Digits

Chapter 3 Introduction to Algebra

    Section 1    Working with Formula
    Section 2    Basic Algebraic Expressions
    Section 3    Addition and Subtraction of Algebraic Expressions
    Section 4    Multiplication of Algebraic Expressions
    Section 5    Division of Algebraic Expressions

Chapter 4 Simple Equations and Inequalities

    Section 1    Solving a Simple Equation
    Section 2    Simple Formulas and Literal Equations
    Section 3    Simple Inequalities
    Section 4    Problem Solving Strategies and Word Problems
    Section 5    Ratio, Proportion, and Variation

Chapter 5 Graphs

    Section 1    Functions and Function Notation
    Section 2    The Rectangular Coordinate System
    Section 3    The Graph of a Function
    Section 4    Graphs of a Linear Function
    Section 5    Graphs of Other Functions
    Section 6    Graphical Solutions
    Section 7    Graphing Inequalities

Chapter 6 Introduction to Geometry

    Section 1    Excel Activity Workbook for Basic Geometric Figures        Key
    Section 2    Excel Activity Workbook for Perimeter        Key
    Section 3    Excel Activity Workbook for Area        Key
    Section 4    Excel Activity Workbook for Volume        Key

        Metal Bending Computations Activity in Excel        Key

Chapter 12 Exponential and Logarithmic Functions

    Section 1    Exponential Functions
        Exponential Activities in Excel        Key
    Section 2    Logarithms    Key
    Section 3    Properties of Logarithms
    Section 5    Exponential and Logarithm Equations

Chapter 14 Oblique Triangles and Vectors

    Section 1    Trigonometric Functions of any Angle
        Good Alternative to Lecture:  Excel Activity Workbook        Key
    Section 2    The Law of Sines
        Alternative to Lecture:  Independent Study Presentation
    Section 3    The Law of Cosines
        Alternative to Lecture:  Independent Study Presentation
        Sample of a finished in-class activity to build an Excel utility for Law of Sines and Cosines
    Section 4    Introduction to Vectors
    Section 5    Vector Components
    Section 6    Vector Additions

Finance Topics

    Section 1    Excel Activity Workbook for Introduction to Finance   
    Section 2    Excel Activity Workbook for Present Value
    Section 3    Excel Activity Workbook for Loans
    Section 4    Excel Activity Workbook for Time Computations

    Lecture in PowerPoint on a range of basic financial topics

Statistics

    Complete Lecture for Basic Statistics in PowerPoint
    Graphs (PowerPoint)
    Excel Activity 1 Introduction to Statistics        Key
    Excel Activity 2  Measures of Central Tendency        Key
    Excel Activity 3  Measures of Dispersion        Key
    Excel Activity 4  Normal Distributions        Key
    Excel Activity 5    Statistical Process Control        Key
        PowerPoint File Review of SPC

Excel Skill Building Activity Files

    Complete Pivot Table Training package (Excel File plus Word documentation/handouts)
            Available by request only (free).
    Rounding Skills in Excel        Key
    MOD Function in Excel        Key
    Intro to Trig Functions in Excel        Key   
    Additional Graphing Skills in Excel Worksheet        Key
    Systems of Equations Workbook in Excel        Key
    Introduction to Algebra (using Excel as an alternative to lecturing)        Key   
   

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