'Imaginary numbers' presentation slideshows

Chapter 39

Chapter 39. Complex Numbers. consist of all positive and negative integers , all rational numbers and irrational numbers . Rational numbers are of the form p/q , where p , q are integers. Irrational numbers are . Complex number notation. Algebra form . Trigonometric form .

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Mathematics as a Human Endeavor

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History of Numbers

History of Numbers. Tope Omitola and Sam Staton University of Cambridge. What Is A Number?. What is a number? Are these numbers? Is 11 a number? 33? What about 0xABFE? Is this a number?. Some ancient numbers. Some ancient numbers. Take Home Messages.

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History of Numbers

History of Numbers. Tope Omitola and Sam Staton University of Cambridge. What Is A Number?. What is a number? Are these numbers? Is 11 a number? 33? What about 0xABFE? Is this a number?. Some ancient numbers. Some ancient numbers. Take Home Messages.

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Review and Examples:

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Introduction to Matlab

Introduction to Matlab. Vince Adams and Syed Bilal Ul Haq. MATLAB stands for M atrix Laboratory. Matlab had many functions and toolboxes to help in various applications

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The Power of Symbols

The Power of Symbols. MEETING THE CHALLENGES OF DISCRETE MATHEMATICS FOR COMPUTER SCIENCE . One CS Goal. Syntax Semantics. Kurt Godel. greatest single piece of work in the whole history of mathematical logic Incompleteness result 120 pages

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SECTION 2.7

SECTION 2.7. COMPLEX ZEROS OF A QUADRATIC FUNCTION . Is a value we have dealt with up to now by simply saying that it is not a real number. SQUARE ROOTS OF NEGATIVE NUMBERS. And, up to now, we have dealt with the following equation by simply saying it has no solution: x 2 + 4 = 0.

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Complex Numbers

Complex Numbers. Any number in form a+b i , where a and b are real numbers and i is imaginary. What is an imaginary number?. Definition of imaginary numbers:. Remember . Simplify complex numbers. 28. Answer: - i. Try these problems:. -15. i.

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Complex Numbers

Complex Numbers. Lesson 3.3. It's any number you can imagine. The Imaginary Number i. By definition Consider powers if i. Using i. Now we can handle quantities that occasionally show up in mathematical solutions What about. Imaginary part. Real part. Complex Numbers.

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5.5 The Quadratic Formula

As you come in collect your Warm-Ups to be turned in. Place them on the seat of the desk. (you should have 10, be sure to write absent for the ones you were absent for; if you do not they will be counted as missing)

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Before we do anything else, put your computers away

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Complex Numbers

Complex Numbers. Lesson 5.1. It's any number you can imagine. The Imaginary Number i. By definition Consider powers if i. Using i. Now we can handle quantities that occasionally show up in mathematical solutions What about. Imaginary part. Real part. Complex Numbers.

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6.10 Simplifying Expressions Containing Complex Numbers

6.10 Simplifying Expressions Containing Complex Numbers. Algebra 2 Mrs. Spitz Spring 2007. Objective. Simplify rational expressions containing complex numbers in the denominator. Assignment. Pgs. 299-300 #5-61 odd only

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1-10 Introduction to Complex Numbers

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Pre-Calculus

Pre-Calculus. Unit 7: Lesson 2: Polynomial Equations. Warm-Up. Study your notes. There will be a 5 question timed quiz and an exit ticket at the end of the period today. Topic/Objective:. I will learn how to find all possible solutions, rational or irrational. Essential Question:.

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The Rational Root Theorem

The Rational Root Theorem. The Rational Root Theorem. Is a useful way to find your initial guess when you are trying to find the zeroes (roots) of the polynomial. THIS IS JUST A TEST NOT ANSWER. Example. Now. Check with division. Ex. Y = 2x 3 + 3x - 5. Try. y = x 3 +x 2 -17x+15.

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6.5 Theorems About Roots of Polynomial Equations

6.5 Theorems About Roots of Polynomial Equations. Imaginary Roots. POLYNOMIALS and THEOREMS Theorems of Polynomial Equations. There are 4 BIG Theorems to know about Polynomials Rational Root Theorem Irrational Root Theorem Imaginary Root Theorem Descartes Rule. Example (Imag RT).

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Unit 4Radicals

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Rationalizing the Denominator

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