EET 109 Math June 28, 2016
Week 1 Day 1
Save your
syllabus for
future
reference.
EET 109 Mathematical Applications for
Circuit Analysis
Description
This is an overview of basic mathematical
applications for electronic circuit analysis. Includes
fundamental concepts of operations with numbers,
the metric system, fundamental algebraic concepts,
graphing, exponential and logarithmic functions,
right angle triangles, basic trig functions, vectors
and complex numbers.
Prerequisite: MAT 081 or equivalent.
Prerequisite
Math 081 Covers whole numbers, fractions,
decimals, percent, ratio and proportion,
geometry and measurements, introduction to
algebra.
Textbook
The best way to reach me is email
douglas.jenkins@seattlecolleges.edu
Grading
Subject matter:
CALCULATORS
Your calculator will become outdated not so
the math you learn.
Build a tool with your work that will be good
forever.
EET versus Math class
I took this class before but they wont
let me transfer it.
Home work format:
Section number
2.4
Problem number
14
Answer
18.2
Show all your work.
Save your homework and build a study guide.
Get to know your classmates, work with them.
Get a tutor.
Answers to odd-numbered questions are in the
book. NOT the solutions.
Student Learning Center
E-Tutoring
facweb
https://northseattle.edu/
This is
not
Canvas
.
https://facweb.northseattle.edu/
Math is like playing a musical instrument, it is a
perishable skill.
Subject matter.
Chapter 1
Page 1
The positive integers are the counting numbers;
that is, 1, 2, 3, . . . .
The negative integers may be defined as the set
of opposites of the positive integers; that is, 1, 2,
3, . . .
Zero is the dividing point.
The set of integers consists of the positive
integers, the negative integers, and zero.
Page 2
The rational numbers are those numbers that
can be represented as the ratio of two integers,
such as , 3/4, -7/5 and 5/1.
The irrational numbers are those numbers that
cannot be represented as the ratio of two
integers, such as 3 , 16 and π .
3
Page 2
Page 2
A prime number is defined as a positive integer
greater than one that is evenly divisible
only by itself and one.
2, 3, 5, 7, 11, 13, 17, 19
We will use primes for factoring.
Page 3
Notice this is for 2 numbers.
Operations with Signed Numbers page 3
Not in textbook
Remove the absolute bars.
Remove the sign.
Not assigned.
This is so
fundamental it will
be on almost all
tests.
Page 3
+2
-1
-8
-3
-12
-9
-15
Page 3
Page 3
+2
-1
-8
-3
Both !
-12
-9
-15
(+3) + (+6) + (-9) + (+6)
Parentheses are good tools.
Parentheses are good tools.
(+3) + (+6) + (-9) + (+6)
3+6+6=
-9 +
15
-9
6
Page 4
Not in the textbook
For your own use organize multiplication and
division, positive and negative as it makes sense
to you. Words or symbols.
Multiplication
Multiplication and Division
Multiplication and Division
More than 2 numbers?
Odd or even?
Study tip.
Look ahead to the
assigned work.
Page 5
Starting with number 17 fractions are
introduced:
Page 5
# 59 division of compound fractions. Compound
fractions not explained.
A compound fraction is sometimes called a
mixed number.
Compound Fraction
Page 6
Page 6
Indeterminate
Meaningless
Page 7
Section 1.2 page 7
Order-Of-Operations
HINT Some people use the acronym
“Please excuse my Dear aunt sally”
to help remember the order of operations.
“Please excuse my Dear aunt sally”
Section 1.3 page 9
Scientific notation is a method of writing
very large and very small numbers while
avoiding writing many zeros.
Volt
One coulomb of charge is the total charge
associated with 6.242 x 1018 electrons.
123
456
789
10 11 12
13 14 15
16 17 18
6 242 000 000 000 000 000.
Section 1.3 page 9
Between 1 and 10.
Section 1.3 page 12
Section 1.3
m
integers are the counting
numbers; that is, 1, 2, 3,
Section 1.3
Section 1.3
26 200
3
26.2 x 10
Section 1.3
26 200
4
2.62 x 10
CHANGING A NUMBER FROM DECIMAL FORM TO SCIENTIFIC
NOTATION
The 2 step method.
m
integers are the counting
numbers; that is, 1, 2, 3,
CHANGING A NUMBER FROM DECIMAL FORM TO SCIENTIFIC
NOTATION
30 000 divided by 3 = 10 000.
CHANGING A NUMBER FROM DECIMAL FORM TO SCIENTIFIC
NOTATION
30 000 divided by 3 = 10 000.
There are 4 zeros in 10 000.
m
integers are the counting
numbers; that is, 1, 2, 3,
CHANGING A NUMBER FROM SCIENTIFIC NOTATION TO
DECIMAL FORM
CHANGING A NUMBER FROM SCIENTIFIC NOTATION TO
DECIMAL FORM
FIXED-POINT, FLOATING-POINT, SCIENTIFIC, AND
ENGINEERING NOTATION
Engineering notation specifies that all powers of
ten must be 0 or multiples of 3, and the
mantissa must be greater than or equal to 1
but less than 1000.
mantissa
In Mathematics the decimal part of a common logarithm.
ENGINEERING NOTATION
All powers of ten must be 0 or multiples of 3
Engineer Notation is in 10 to the powers of 3.
So every 3 digits use a space
4, 123, 987.
.000 000 02
251.012 451
Section 1.3
“Laws”
Section 1.3
Most often confused.
(103 ) x (103 ) = (10 x 10 x 10) x (10 x 10 x 10)
=
6
10
Negative value so it can not be getting bigger.
1.4 MEASUREMENT
1/3 = 0. 3333
Accuracy
The accuracy of a measurement refers to the
number of digits, called significant digits,
which indicate the number of units we are
reasonably sure of having counted when making
a measurement.
Precision
The precision of a measurement refers to the
smallest unit with which a measurement is
made; that is, the position of the last significant
digit.
1.5 OPERATIONS WITH
MEASUREMENTS
Appendix B
Appendix B
Due July 5