'Rectangular form' diaporamas de présentation

Jeopardy! for the Classroom

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GACE Review mgarner@kennesaw.edu

GACE Review mgarner@kennesaw.edu. Mary Garner, Ph.D. Professor, Department of Mathematics and Statistics Kennesaw State University. Gace Review. Philosophy/overall plan Friends and materials

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Complex Numbers

Complex Numbers. Chapter 12. The Imaginary Number j. Previously, when we encountered an equation like x 2 + 4 = 0, we said that there was no solution since solving for x yielded . There is no real number that can be squared to produce -4.

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Chapter 15 Complex Numbers

Chapter 15 Complex Numbers.

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Complex Numbers

Math Review with Matlab:. Complex Numbers. Complex Math. S. Awad, Ph.D. M. Corless, M.S.E.E. E.C.E. Department University of Michigan-Dearborn. Complex Number Math. Rectangular Addition Rectangular Subtraction Polar Multiplication Rectangular Multiplication Polar Division

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SUVALKIJA

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Trigonometric Form of a Complex Number

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Warm-up:

Warm-up:. Math ador Gameplan. Section 9.6: Polar Form of Complex Numbers CA Standards: T15.0 Daily Objective (3/13/13): Students will be able to graph complex numbers in complex plane and convert complex numbers between polar and rectangular forms. Homework: page 590 (#16 to 44 all).

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Parametrics, Polar Curves, Vectors

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Complex Numbers

Complex Numbers. Last time we Characterized linear discrete-time systems by their impulse response Formulated zero-input output response using impulse response Computed impulse response for example systems Saw examples of FIR and IIR systems Today we will

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COMPLEX NUMBERS

COMPLEX NUMBERS. ARITHMETIC OPERATIONS WITH COMPLEX NUMBERS. Which complex representation is the best to use? It depends on the operation we want to perform. ADDITION.

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Chapter 11: Polar Coordinates and Complex Numbers

Chapter 11: Polar Coordinates and Complex Numbers. L11.1 Polar Coordinates and Graphs. POLAR COORDINATES. Polar Coordinates offer another way to locate a point on a plane. Applications: radar, GPS, . Rectangular Coord System:. Polar Coordinate System has: a point, O , called the pole

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Warm Up

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10-6 Rectangular and Parametric Forms of Conic Sections

10-6 Rectangular and Parametric Forms of Conic Sections. ALL conic sections can be written in general form: Ax 2 + Bxy + Cy 2 + Dx + Ey + F = 0 (where A, B, and C are not ALL zero) However, usually B is zero. Identify the type of conic:. 6y2 + 3x -4y -12 = 0

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Complex Numbers

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10.3 Polar Form of Complex Numbers

10.3 Polar Form of Complex Numbers. We have explored complex numbers as solutions. Now we connect to both the rectangular and polar planes. Every complex number can be represented in the form a + bi. horizontal axis = real axis vertical axis = imaginary axis.

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Polar Coordinates z= rcis ?

Polar Coordinates z= rcis ?. Write z=2+3i in polar form. . 1: sketch the point. 2. find modulus & argument (angle the line makes with the real axis) Modulus is ?(2 2 +3 2 )=?13 ? =tan -1 (3/2)=0.9828rad (4dp) 2+3i= ?13 cos 0.9828+ ?13 isin 0.983 = ?13( cos 0.9828+ isin 0.983)

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*Differentiation Q due Friday (hand in on paper) 2010 Q2: a & b

*Differentiation Q due Friday (hand in on paper) 2010 Q2: a & b Sketch 2+3i on an argand diagram Find the modulus of 2+3i Write 2+3i in polar form Find (2+3i) 7 Give your answer in rectangular form Sketch x 2 +y 2 =16 **answers to 10Q from last lesson. Finding equations of Loci.

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