EE3 INTRODUCTION TO ELECTRICAL ENGINEERING
LABORATORY
MANUAL
Professor O. M. Stafsudd
Department of Electrical Engineering
October 2013
Rev. September 2016 (version 1.9.3)
Acknowledgements
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Assorted Final Exam Practice Problems
*Disclaimer: The following provide an assortment of potential types of exam problems. It is not necessarily
exhaustive of potential test material. Note: This set
Reciprocal In Algebra
Turn it upside down!
Reciprocal of a Number
To get the reciprocal of a number, we divide 1 by the number:
Examples:
Number
Reciprocal
As a Decimal
2
1
= 0.5
8
1
/8
= 0.125
/1,000
2.3 Solving Equations Containing Fractions and Decimals
Objectives
In this section, you will learn to:
To successfully complete this section,
you need to understand:
Solve equations containing fractio
Sets and Venn Diagrams
Sets
A set is a collection of things.
For example, the items you wear is a set: these include shoes, socks, hat, shirt, pants, and so on.
You write sets inside curly brackets li
Coordinate System and Graphing Lines including Inequalities
This section covers:
Coordinate System
Slope-Intercept Formula
Positive and Negative Slopes
Horizontal and Vertical Lines
Graphing Lines
o T
Solving by Elimination
Let's just do one and you'll see how it works:
See how these guys are the same,
but with a different sign?
If we add the two equations - straight down, those
to drop right out!
A Review of Radicals
Square Roots:
Here are a few square roots:
The first two popped cleanly (because they had perfect squares inside.) But, the last guy didn't.
He's an irrational number. His decimal
How to simplify complex fractions
This calculator will take any 2 of mixed numbers (mixed fractions), regular fractions, improper fraction
and integers and simplify the entire fraction by both of the
Translating Word Problems into Equations
Most of the time when someone says word problems there is automatic panic. But word problems
do not have to be the worst part of a math class. By setting up a
Section 1.1:
Introduction to Algebra
Evaluating Algebraic Expressions:
A _ is a fixed, unchanged number.
A _ is a symbol, usually a letter such as x, y or z, used to
represent an unknown number.
A (n)
Now, we're going to learn how to factor guys with a number in front of
the
.
I'm not going to lie to you - these can be pretty tricky. Some students
don't like these because there is no way to just me
Interval Notation
This notation is my favorite for intervals. It's just a lot simpler!
Let's look at the intervals we did with the set-builder notation:
Let's start with the first one:
This is what it
SOLUTION: what is the difference between a
variable, a variable expression, and an
equation?
Algebra -> Equations -> SOLUTION: what is the difference between a variable, a variable expression, and an
How to Factor a Polynomial Expression
In mathematics, factorization or factoring is the breaking apart of a polynomial into a product of
other smaller polynomials. If you choose, you could then multip
Exponents are used in many algebra problems, so it's important that you understand the
rules for working with exponents. Let's go over each rule in detail, and see some examples.
Rules of 1
There are
Do you remember FOIL?
Prove it by multiplying these:
OK, now we'll be undoing FOIL. I'm going to merge you into this slowly.
Factoring can be a bit of a shock.
Remember that, when you do FOIL, there a
Section 2.1:
Solving Equations
An equation is a number sentence stating that the expressions on
either side of the equal sign represent the same number. Equations may be
true, false, or neither true n
Simplifying Radicals
There are lots of things in math that aren't really necessary anymore. These date back to the days
(daze) before calculators. Lucky for us, we still get to do them! Once something
Adding and Subtracting Integers
How to Add and Subtract
Positive and Negative Numbers
Numbers Can be Positive or Negative:
Negative Numbers ()
Positive Numbers (+)
(This is the Number Line, read about
Factoring Binomials: The Differece of Two Squares
Remember, make sure to always factor out a
GCF first. Sometimes that's the only part of the
binomial that can be factored. Once you have
checked for t
Solving By Substitution
These are the steps:
Write one of the equations so it is in the style "variable = ."
Replace (i.e. substitute) that variable in the other equation(s).
Solve the other equati
Fractional Exponents
Don't get all freaked out about these - it's just a different notation for
what you've already been doing.
can be written
as
can be written
as
* Remember that
is really
. We just
Multiplying Messier Radicals
We're going to need this for the next lesson.
We'll need to multiply guys like
There's an easy process we can use called FOIL.
F = First
O = Outer
I = Inner
L = Last
You c