'Differential equations' diaporamas de présentation

Cycle Romand de Statistique, 2009 Ovronnaz, Switzerland Random trajectories: some theory and applications Lecture 1

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Ordinary Differential Equations

CHAPTER 1. Ordinary Differential Equations. Contents. 1.1 Definitions and Terminology 1.2 Initial-Value Problems 1.3 Differential Equations as Mathematical Models. DEFINITION 1.1. Differential equation (DE). An equation contains the derivates of one or more dependent

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Seating by Group

Seating by Group. Calculus II (MAT 146) Dr. Day Thurs day , Oct 27, 2016. More Integration Applications Arc Length of a Curve (8.1) Probability (8.5) Differential Equations ( Ch 9) What is a differential equation? Solving Differential Equations Visual Solutions Numerical Solutions

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Helping mathematics students develop information competency

Helping mathematics students develop information competency. Section NExT, Spring 2003 MAA Southern California Section. Bruce E. Shapiro bruce.e.shapiro@csun.edu http://www.bruce-shapiro.com/presentations.html. Information Competency. How do we obtain a process information?

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Helping mathematics students develop information competency

Helping mathematics students develop information competency. Section NExT, Spring 2003 MAA Southern California Section. Bruce E. Shapiro bruce.e.shapiro@csun.edu http://www.bruce-shapiro.com/presentations.html. Information Competency. How do we obtain a process information?

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Infinite Impulse Response Filters

Infinite Impulse Response Filters. Digital IIR Filters. Infinite Impulse Response (IIR) filter has impulse response of infinite duration, e.g. How to implement the IIR filter by computer? Let x [ k ] be the input signal and y [ k ] the output signal,. Z.

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Tennessee Technological University

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Differential Equations MTH 242 Lecture # 29 Dr. Manshoor Ahmed

Differential Equations MTH 242 Lecture # 29 Dr. Manshoor Ahmed. Summary(Recall). Homogeneous system of linear DEs. Eigenvalue and Eigenvector. Solution of system when eigenvalues real and distinct. Solution of system when eigenvalues complex.

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Using Technology to Enhance Teaching and Learning Some Approaches That Work

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Lecture 1

Lecture 1. Method of Generalized Separation of Variables. Andrei D. Polyanin. Simple Separation of Variables. Linear partial differential equations Multiplicative separable solutions: Some nonlinear first-order equations Additive separable solutions:.

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OER Ancillaries: A Community Model

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Lecture 9

Lecture 9. Second Order Linear Differential Equations: Method of Variation of Parameters Systems of First Order Linear Differential Equations Fourier Series. The Linear Case. A linear second order differential equations is written as associate the so called associated homogeneous equation

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Lecture 11

Lecture 11. Fourier Transforms. Fourier Series in exponential form. Consider the Fourier series of the 2T periodic function: Due to the Euler formula It can be rewritten as With the decomposition coefficients calculated as:. (1). (2). Fourier transform.

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Ch 6.4: Differential Equations with Discontinuous Forcing Functions

Ch 6.4: Differential Equations with Discontinuous Forcing Functions . In this section, we focus on examples of nonhomogeneous initial value problems in which the forcing function is discontinuous. Example 1: Initial Value Problem (1 of 12). Find the solution to the initial value problem

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Chapter - Continuous Control

Chapter - Continuous Control. Examples. A Feedback Controller. Continuous Feedback - Logical Output. Ladder Logic Example. Block Diagram. An Example. Continuous Feedback and Output. Proportional Control Equations. Modeling Behavior with Differential Equations.

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Section 2.1

Section 2.1. MODELING VIA SYSTEMS. A tale of rabbits and foxes. Suppose you have two populations: rabbits and foxes. R(t) represents the population of rabbits at time t. F(t) represents the population of foxes at time t . What happens to the rabbits if there are no foxes?

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AC Circuits (Chapt 33)

AC Circuits (Chapt 33). circuits in which the currents vary in time differential equations. AC Voltage. The current in any AC circuit is driven by an AC source. This alternating current varies sinusoidally with time: ? v = ? V max sin ? t * ? v is the instantaneous voltage

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Ch 6.1: Definition of Laplace Transform

Ch 6.1: Definition of Laplace Transform. Many practical engineering problems involve mechanical or electrical systems acted upon by discontinuous or impulsive forcing terms. For such problems the methods described in Chapter 3 are difficult to apply.

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Introduction to Procedural Methods, Particles

Introduction to Procedural Methods, Particles. Glenn G. Chappell CHAPPELLG@member.ams.org U. of Alaska Fairbanks CS 481/681 Lecture Notes Monday, March 22, 2004. Where Are We? [1/2]. So far, we have covered: Organizing a 3-D Scene Drawable objects Tree representations Advanced HSR

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Advanced Higher Mathematics

Advanced Higher Mathematics. AH. Methods in Algebra and Calculus. Applications of Algebra and Calculus. Geometry, Proof and Systems of Equations. AH. Methods in Algebra and Calculus. Applications of Algebra and Calculus. Geometry, Proof and Systems of Equations. Outcome 1

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