EET 109 Math June 30, 2016
Week 1 Day 2
Save your
syllabus for
future
reference.
Textbook
The best way to reach me is email
douglas.jenkins@seattlecolleges.edu
Subject matter:
Look ahead to subject matter
to help you plan.
CALCULATORS
Your calculator will become outdated not so
the math you learn.
Build a tool with your work that will be good
forever.
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.
E-Tutoring
facweb
https://northseattle.edu/
https://facweb.northseattle.edu/
This is not Canvas
.
https://facweb.northseattle.edu/djenkins/
This is not Canvas
.
Week one assignments.
The Blue Folder.
Graded and Recorded
10/10 8/10
Score
Scored and recorded.
Chapter 1
Review
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.
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.
Page 4
Multiplication and Division
Multiplication and Division
More than 2 numbers?
Odd or even?
Study tip.
Look ahead to the
assigned work.
Page 6
Page 6
Page 6
Indeterminate
Page 6
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.
Section 1.3 page 12
Section 1.3
Section 1.3
Section 1.3
26 200
4
2.62 x 10
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
4, 123, 987.
.000 000 02
251.012 451
26 200
4
2.62 x 10
3
26.2 x 10
26.2 K
A notation can meet the standards of both
Scientific and Engineering notation.
2.3436 x 106
5.1242 x 108
Section 1.3
“Laws”
Section 1.3
Most often confused.
1
𝑋 =X
4
2
23
22
21
2x2x2x2
2x2x2
2x2
2
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.
Due July 5
Anyone not
have their
textbook?
1.11 FORMULAS page 40
A formula is an equation,
usually expressed in letters, that shows the
relationship between quantities.
The letter being something we are interested in.
1.11 FORMULAS page 42
Solving a formula means to isolate a given letter on
one side of the equal sign.
We solve formulas using the same principles used
solving equations.
1.12 SUBSTITUTION OF DATA INTO FORMULAS Page 45
Be careful about reversing numbers 1 and 2.
1.12 SUBSTITUTION OF DATA INTO FORMULAS Page 46
m , 𝑚2
1.11 Page 43
Ohm’s Law
Three units three variations.
Multiplication and division.
Concept of “solving” for value.
Concept of “solving” for value.
18/3 = 6
For resistors in parallel total resistance is
determined from the following equation:
Exercises 1.12 page 48 number 13
Exercises 1.12 page 48 number 13
Subscript
75.0 and 60.0 are 2 keystrokes on a calculator that
do nothing but create an opportunity to make a
data entry error.
Ω is just a unit and is not needed for calculations.
Hz is just a unit and is not needed for calculations.
Break
Chapter 3
Right-Triangle Trigonometry
Jump to Chapter 3
Objectives:
Understand the degree/minute/second and radian
measures of an angle.
Know the Pythagorean theorem.
Know the ratio definitions of the trigonometric functions.
Know the values of the trigonometric functions for key
angles.
Use a calculator to evaluate trigonometric functions.
Solve right triangles.
You have to know the triangle first.
A right triangle has:
one right angle,
two acute angles,
And a hypotenuse.
A right angle is an angle of 90°
An acute angle is an angle whose measure is less
than 90°.
A, B, C are angles.
a, b, c are sides.
hypotenuse
The Pythagorean theorem gives the relationship
among the sides of a right triangle.
Pythagorean Theorem page 118
Solve for a and b
Beware of negative numbers under the square.
Page 119
The 6 trigonometric ratios express the
relationship between an acute angle
of a right triangle and the length of 2
sides.
Page 119
Trigonometric ratios express the
relationship between an angle and
the length of 2 sides.
Page 133
Note: While all six trigonometric rations may be
used to solve a right triangle, we will usually
choose sine, cosine, and tangent because these
buttons appear on calculators.
Page 122
The corresponding pairs of reciprocals are
called reciprocal trigonometric functions.
Page 122
This is where much confusion comes from.
Page 122
The Soup is Cold o a oh ah
Tan = Op/Adj
Sin = Op/Hyp
Cos = Adj/Hyp
SOH CAH TOA
Sin = Op/Hyp
Cos = Adj/Hyp
Tan = Op/Adj
The side opposite the angle.
The side opposite the angle.
The TAN of 30 degrees is .577
TAN = Opposite / Adjacent
Opposite / Adjacent
Opposite / Adjacent
30 degrees
Know your calculator.
Homework Exercise 3.2
Tan θ =
Tan θ =
Tan θ =
Tan θ =
Op / Adj
a/b
3/6
.5
Tan θ = .5
𝑇𝑎𝑛−1 .5 = θ
𝑇𝑎𝑛−1 .5 = 26.56
A right triangle has one right angle, two
acute angles, a hypotenuse.
A right angle is an angle of 90°
The two acute angles of a right triangle are
complementary. That is,
Once the value of one acute angle is known, we
can find the value of the other.
C always = 90 degrees so: