eet 109 math october 5,2015 week 2 day 1. united states silver dollars 1794 – 1803 up to $2,000...

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EET 109 Math October 5,2015 Week 2 Day 1

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Page 1: EET 109 Math October 5,2015 Week 2 Day 1. United States Silver Dollars 1794 – 1803 Up to $2,000 used $50,000 new 1836 – 1839 Up to $1,000 used $5,000

EET 109 MathOctober 5,2015

Week 2 Day 1

Page 2: EET 109 Math October 5,2015 Week 2 Day 1. United States Silver Dollars 1794 – 1803 Up to $2,000 used $50,000 new 1836 – 1839 Up to $1,000 used $5,000

United States Silver Dollars

1794 – 1803 Up to $2,000 used $50,000 new

1836 – 1839 Up to $1,000 used $5,000 new

Page 3: EET 109 Math October 5,2015 Week 2 Day 1. United States Silver Dollars 1794 – 1803 Up to $2,000 used $50,000 new 1836 – 1839 Up to $1,000 used $5,000

Carat versus Karat

carat: a unit for measuring the weight of jewels (such as diamonds) that is equal to 200 milligrams.

karatA unit of weight equal to 200 mg (3.1 grains). Also used as a measure of gold purity (per 24 parts gold alloy).

Page 4: EET 109 Math October 5,2015 Week 2 Day 1. United States Silver Dollars 1794 – 1803 Up to $2,000 used $50,000 new 1836 – 1839 Up to $1,000 used $5,000

Chapter 1

Fundamental Concepts

Page 5: EET 109 Math October 5,2015 Week 2 Day 1. United States Silver Dollars 1794 – 1803 Up to $2,000 used $50,000 new 1836 – 1839 Up to $1,000 used $5,000

Home work Week 1

Appendix B4 question 20.Paint needed to paint a house. Should be measured in liters but once

applied the answer could be meters squared.

Page 6: EET 109 Math October 5,2015 Week 2 Day 1. United States Silver Dollars 1794 – 1803 Up to $2,000 used $50,000 new 1836 – 1839 Up to $1,000 used $5,000

Turn in completed home work not partial.

Staple your work together and in order.

Page 7: EET 109 Math October 5,2015 Week 2 Day 1. United States Silver Dollars 1794 – 1803 Up to $2,000 used $50,000 new 1836 – 1839 Up to $1,000 used $5,000

Graded and Recorded

10/10 8/10 Score

Scored and recorded.

Page 8: EET 109 Math October 5,2015 Week 2 Day 1. United States Silver Dollars 1794 – 1803 Up to $2,000 used $50,000 new 1836 – 1839 Up to $1,000 used $5,000

ENGINEERING NOTATION

The letters replace the math.

50mA is 50 milliamps.

NOT 50 x mA

The m replaces x

At most 3 numbers one letter one unit of measurement.

Page 9: EET 109 Math October 5,2015 Week 2 Day 1. United States Silver Dollars 1794 – 1803 Up to $2,000 used $50,000 new 1836 – 1839 Up to $1,000 used $5,000
Page 10: EET 109 Math October 5,2015 Week 2 Day 1. United States Silver Dollars 1794 – 1803 Up to $2,000 used $50,000 new 1836 – 1839 Up to $1,000 used $5,000

Chapter 1

Fundamental Concepts

Page 11: EET 109 Math October 5,2015 Week 2 Day 1. United States Silver Dollars 1794 – 1803 Up to $2,000 used $50,000 new 1836 – 1839 Up to $1,000 used $5,000

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.

$ I got = $ I earned - $ I spent.

Page 12: EET 109 Math October 5,2015 Week 2 Day 1. United States Silver Dollars 1794 – 1803 Up to $2,000 used $50,000 new 1836 – 1839 Up to $1,000 used $5,000

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.

Page 13: EET 109 Math October 5,2015 Week 2 Day 1. United States Silver Dollars 1794 – 1803 Up to $2,000 used $50,000 new 1836 – 1839 Up to $1,000 used $5,000

1.12 SUBSTITUTION OF DATA INTO FORMULAS Page 45

#1 is saying the same as stated earlier:Solving a formula means to isolate a given letter on one side of the equal sign.

Page 14: EET 109 Math October 5,2015 Week 2 Day 1. United States Silver Dollars 1794 – 1803 Up to $2,000 used $50,000 new 1836 – 1839 Up to $1,000 used $5,000

1.12 SUBSTITUTION OF DATA INTO FORMULAS Page 46

Page 15: EET 109 Math October 5,2015 Week 2 Day 1. United States Silver Dollars 1794 – 1803 Up to $2,000 used $50,000 new 1836 – 1839 Up to $1,000 used $5,000

1.11 Page 43

Page 16: EET 109 Math October 5,2015 Week 2 Day 1. United States Silver Dollars 1794 – 1803 Up to $2,000 used $50,000 new 1836 – 1839 Up to $1,000 used $5,000

Ohm’s Law

Three units three variations.Multiplication and division.

Page 17: EET 109 Math October 5,2015 Week 2 Day 1. United States Silver Dollars 1794 – 1803 Up to $2,000 used $50,000 new 1836 – 1839 Up to $1,000 used $5,000
Page 18: EET 109 Math October 5,2015 Week 2 Day 1. United States Silver Dollars 1794 – 1803 Up to $2,000 used $50,000 new 1836 – 1839 Up to $1,000 used $5,000

Exercises 1.12 page 48 number 13

Page 19: EET 109 Math October 5,2015 Week 2 Day 1. United States Silver Dollars 1794 – 1803 Up to $2,000 used $50,000 new 1836 – 1839 Up to $1,000 used $5,000

Exercises 1.12 page 48 number 13

Page 20: EET 109 Math October 5,2015 Week 2 Day 1. United States Silver Dollars 1794 – 1803 Up to $2,000 used $50,000 new 1836 – 1839 Up to $1,000 used $5,000

75.0 is 2 keystrokes on a calculator that do nothing but create an opportunity to make a data entry error.

75Ω is just a unit and is not needed for calculations.

Hz is just a unit and is not needed for calculations.

Page 21: EET 109 Math October 5,2015 Week 2 Day 1. United States Silver Dollars 1794 – 1803 Up to $2,000 used $50,000 new 1836 – 1839 Up to $1,000 used $5,000

In class exercise.

Page 22: EET 109 Math October 5,2015 Week 2 Day 1. United States Silver Dollars 1794 – 1803 Up to $2,000 used $50,000 new 1836 – 1839 Up to $1,000 used $5,000

Chapter 3

Right-Triangle Trigonometry

Page 23: EET 109 Math October 5,2015 Week 2 Day 1. United States Silver Dollars 1794 – 1803 Up to $2,000 used $50,000 new 1836 – 1839 Up to $1,000 used $5,000

Jump to Chapter 3Objectives 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.

Page 24: EET 109 Math October 5,2015 Week 2 Day 1. United States Silver Dollars 1794 – 1803 Up to $2,000 used $50,000 new 1836 – 1839 Up to $1,000 used $5,000

A right triangle has one right angle, two acute angles, a hypotenuse.

A right angle is an angle of 90°An acute angle is an angle whose measure is less than 90°.

Page 25: EET 109 Math October 5,2015 Week 2 Day 1. United States Silver Dollars 1794 – 1803 Up to $2,000 used $50,000 new 1836 – 1839 Up to $1,000 used $5,000

Page 115

How much is the rotation; how large is the angle?Angles can be measured using any of three units of measure:

revolutions degrees radians

Page 26: EET 109 Math October 5,2015 Week 2 Day 1. United States Silver Dollars 1794 – 1803 Up to $2,000 used $50,000 new 1836 – 1839 Up to $1,000 used $5,000

Revolutions RPM

The side originates at the center, it is a line.

This will correspond later to ordered pairs and

Page 27: EET 109 Math October 5,2015 Week 2 Day 1. United States Silver Dollars 1794 – 1803 Up to $2,000 used $50,000 new 1836 – 1839 Up to $1,000 used $5,000

Degrees 360 degrees = 1 revolution

Page 28: EET 109 Math October 5,2015 Week 2 Day 1. United States Silver Dollars 1794 – 1803 Up to $2,000 used $50,000 new 1836 – 1839 Up to $1,000 used $5,000

The one radian is just under 57.3 degrees.

Page 29: EET 109 Math October 5,2015 Week 2 Day 1. United States Silver Dollars 1794 – 1803 Up to $2,000 used $50,000 new 1836 – 1839 Up to $1,000 used $5,000

Where are the triangle?

Page 30: EET 109 Math October 5,2015 Week 2 Day 1. United States Silver Dollars 1794 – 1803 Up to $2,000 used $50,000 new 1836 – 1839 Up to $1,000 used $5,000

A, B, C are angles.a, b, c are sides.

Page 31: EET 109 Math October 5,2015 Week 2 Day 1. United States Silver Dollars 1794 – 1803 Up to $2,000 used $50,000 new 1836 – 1839 Up to $1,000 used $5,000

The Pythagorean theorem gives the relationship

among the sides of a right triangle.

Page 32: EET 109 Math October 5,2015 Week 2 Day 1. United States Silver Dollars 1794 – 1803 Up to $2,000 used $50,000 new 1836 – 1839 Up to $1,000 used $5,000

Pythagorean Theorem page 118

Page 33: EET 109 Math October 5,2015 Week 2 Day 1. United States Silver Dollars 1794 – 1803 Up to $2,000 used $50,000 new 1836 – 1839 Up to $1,000 used $5,000

Page 119

The 6 trigonometric ratios express the relationship between and acute angle of a right triangle and the length of 2 sides.

Page 34: EET 109 Math October 5,2015 Week 2 Day 1. United States Silver Dollars 1794 – 1803 Up to $2,000 used $50,000 new 1836 – 1839 Up to $1,000 used $5,000

Page 133Note: 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 35: EET 109 Math October 5,2015 Week 2 Day 1. United States Silver Dollars 1794 – 1803 Up to $2,000 used $50,000 new 1836 – 1839 Up to $1,000 used $5,000

The Soup is Cold o a oh ah

Tan = Op/AdjSin = Op/HypCos = Adj/Hyp

Page 36: EET 109 Math October 5,2015 Week 2 Day 1. United States Silver Dollars 1794 – 1803 Up to $2,000 used $50,000 new 1836 – 1839 Up to $1,000 used $5,000

SOH CAH TOA

Sin = Op/HypCos = Adj/HypTan = Op/Adj

Page 37: EET 109 Math October 5,2015 Week 2 Day 1. United States Silver Dollars 1794 – 1803 Up to $2,000 used $50,000 new 1836 – 1839 Up to $1,000 used $5,000

The side opposite the angle.

Page 38: EET 109 Math October 5,2015 Week 2 Day 1. United States Silver Dollars 1794 – 1803 Up to $2,000 used $50,000 new 1836 – 1839 Up to $1,000 used $5,000

The side opposite the angle.

Page 39: EET 109 Math October 5,2015 Week 2 Day 1. United States Silver Dollars 1794 – 1803 Up to $2,000 used $50,000 new 1836 – 1839 Up to $1,000 used $5,000
Page 40: EET 109 Math October 5,2015 Week 2 Day 1. United States Silver Dollars 1794 – 1803 Up to $2,000 used $50,000 new 1836 – 1839 Up to $1,000 used $5,000

For Trigonometry you will need a calculator.

All ProgramsAccessoriesCalculator

Page 41: EET 109 Math October 5,2015 Week 2 Day 1. United States Silver Dollars 1794 – 1803 Up to $2,000 used $50,000 new 1836 – 1839 Up to $1,000 used $5,000

View

Scientific

Page 42: EET 109 Math October 5,2015 Week 2 Day 1. United States Silver Dollars 1794 – 1803 Up to $2,000 used $50,000 new 1836 – 1839 Up to $1,000 used $5,000