Electrical Math

30 Hours

This course is designed to introduce the student to the math used in the study of electricity and electronics. Subjects included are use of signed numbers, more uses of trigonometric functions, algebraic solution of simultaneous linear equations, use of powers of 10 and scientific notations, exponents and radicals, logarithms and decibels, graphing in rectangular and polar coordinate systems, vector representation and resolution of vector quantities, and introduction to the complex numbers and the j operator. This course will prepare the associate for the study of basic electricity and electronics.

• Basic Operations and Symbols and Signs
  · Number Types
  · · Whole Numbers
  · · Fractions - Common and Decimal
  · · Mixed Numbers
  · · Absolute Value
  · · Literal Numbers
  · · Negative Numbers
• Operations with Negative Numbers
  · Addition
  · Subtraction
  · Multiplication
  · Division
• Decimal Numbers and Powers of 10
  · Notation for Powers of 10
  · Scientific and Engineering Notation
• Powers and Roots
• Percentages
  · Calculation of Percentages
  · Efficiency as a Percentage
  · Tolerance as a Percentage
• Algebra
  · Manipulation of Equations
  · Solving Equations in One Unknown (Linear)
  · Graphs and Graphing of Linear Equations
  · Simultaneous Equation, Two and Three Unknowns
  · · Solution Methods
  · · Graphing
  · Algebraic Fractional Equations
  · Polynomials
  · · Addition, Subtraction, Multiplication, Division
  · · Factoring
  · Determinants
  · · 2 X 2 and 3 X 3 Determinants
  · · Properties of Determinants
  · · Application of Determinants in Equation Solutions
• Trigonometry
  · Angles
  · Generation of Angles Greater than 360<
  · Radian Measure
  · Polar Coordinates
  · Triangles
  · · Angles in a Triangle
  · · Pythagorean Theorem
  · Trig. Functions
  · · Definitions
  · · Reciprocal Relationships
  · · Notation Used in Trig.
  · · Functions of Common Angles
  · Solving Triangles Using Trig
  · Quadrant System
  · · Related Angles
  · · Negative Angles
  · Graphs of Functions
  · · Y = Sinx
  · · Y = Cosx
  · Applying Radian Measure to Graphs
  · Period and Frequency
• Exponents
  · Laws of Exponents
  · Fractional Exponents
  · Imaginary Numbers
  · · J Operator
  · · Manipulation Using J
  · Exponential Equations
  · · Graphing
  · · ex Amd E?x
  · · Application of Exponential
  · · Evaluating Exponential
  · Quadratic Equations
  · · Solutions of Quadratics
  · · Complex Roots and Complex Numbers
• Complex Algebra
  · Phasors
  · Complex Numbers and the Complex Plane
  · · Addition and Subtraction of Complex Numbers
  · Phasors Representing Complex Numbers
  · · Polar and Rectangular Forms
  · Multiplication of Complex Numbers
  · · Polar and Rectangular
  · Division of Complex Numbers
  · · Polar and Rectangular
• Logarithms
  · Definitions
  · Review Laws of Exponents
  · Common Logs - Base 10
  · Natural Logs - Base E
  · Using Logs to Do Calculation
  · Logarithmic Equations
  · Decibels Defined