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  • Main Page
    :[[MA366_Lab|Laboratory for MA366: "Ordinary Differential Equations']]
    2 KB (209 words) - 13:07, 9 September 2022
  • ECE 301 (SanSummer2008)
    ...08asan)|LTI systems described by differential equations(CT) and difference equations(DT)]]
    7 KB (921 words) - 06:08, 21 October 2011
  • ECE 301 Fall 2007 mboutin Joseph Fourier
    ...(Analytic Theory of Heat), (1822), discussing it in terms of differential equations.
    3 KB (390 words) - 12:10, 11 December 2008
  • List of Course Wikis
    :[[MA366_Lab|Laboratory for MA366: "Ordinary Differential Equations']] **[[2012 Fall MA 26200 YILDIRIM YOLCU|MA266:"Ordinary Differential Equations," Prof. Yolcu]]
    13 KB (1,570 words) - 13:53, 7 August 2018
  • Main Page ECE301Fall2008mboutin
    ...7_ECE301Fall2008mboutin|Lecture 17]]: FTs and the f response, differential equations
    5 KB (720 words) - 06:10, 16 September 2013
  • Ece311notes
    == Breakdown of Maxwells Equations == Differential and integral forms of these given below
    4 KB (505 words) - 09:57, 31 July 2009
  • Meta Course List
    *[[MA266|MA 266]]: "Ordinary Differential Equations"
    4 KB (474 words) - 07:08, 4 November 2013
  • HW1.3 Ben Laskowski - Concepts of Complex Numbers ECE301Fall2008mboutin
    ...circuits that would otherwise require us to write high-order differential equations.
    2 KB (414 words) - 12:36, 1 September 2008
  • HW1.3 Zachary Curosh - Euler's Formula ECE301Fall2008mboutin
    ...proved in one of several ways, using calculus (derivatives), differential equations, or the Taylor series, which is used here.
    2 KB (362 words) - 07:05, 11 July 2012
  • HW1.3 Daniel Morris - Complex Numbers are FUN!!! ECE301Fall2008mboutin
    ...mbers and for engineers, they make it easier to solve complex differential equations. Usually complex numbers are of the form <math>a+bi</math>,where a is the r
    1 KB (251 words) - 13:43, 4 September 2008
  • Mimi's key points ECE301Fall2008mboutin
    === LTI systems defined by Differential/difference equations ===
    2 KB (243 words) - 08:04, 21 November 2008
  • HW 7 Allen Humphreys ECE301Fall2008mboutin
    ==System's Characterized by Linear Constant-Coefficient Differential Equations==
    3 KB (465 words) - 14:38, 24 October 2008
  • Joseph Mazzei - Main Points for Exam 2 ECE301Fall2008mboutin
    ...This form is obtained through differential equations in CT and difference equations in DT.
    2 KB (255 words) - 16:12, 24 October 2008
  • SangMo Je ECE301Fall2008mboutin
    == System Characterized By Linear Constant-Coefficient Differential Equations == Consider a LTI system that is chracterized by the differential equation
    2 KB (335 words) - 18:08, 24 October 2008
  • HW10 Monil Goklani ECE301Fall2008mboutin
    Laplace Transforms provide a very convenient method of solving differential equations,
    1 KB (226 words) - 12:26, 24 November 2008
  • Final ECE301Fall2008mboutin
    :(b) an ability to determine the impulse response of a differential or difference equation. [1,2;a] #Causal LTI Systems Described by Differential and Difference Equations
    7 KB (1,017 words) - 10:05, 11 December 2008
  • ECE662:Glossary Old Kiwi
    A parametric model is a set of related mathematical equations in which alternative scenarios are defined by changing the assumed values o ==[[Partial Differential Equations (PDE)_Old Kiwi|Partial Differential Equations (PDE)]]==
    31 KB (4,832 words) - 18:13, 22 October 2010
  • Old QE question numbering Old Kiwi
    | ? || FO-3 || ? || Dynamics 2 : Time Varying Fields and Maxwells Equations ...|| VC-3 || ? || Modeling, Analysis, and Design of Single-Stage Amplifiers/Differential
    2 KB (279 words) - 23:00, 9 March 2008
  • ECE662:ChangeLog Old Kiwi
    ...as '''exact as possible'''' in your description. Number your figures and equations and specify those in your ChangeLog entry. Also give a hyperlink to the pag ...nt_Old Kiwi]], [[KNN-K Nearest Neighbor_Old Kiwi]], [[Partial Differential Equations (PDE)_Old Kiwi]], [[Prior_Old Kiwi]], [[Pruning_Old Kiwi]], [[Quadratic Pro
    10 KB (1,418 words) - 12:21, 28 April 2008
  • Lecture 28 - Final lecture Old Kiwi
    =Partial Differential Equations (Continued)= This gives us two 1-D heat equations
    10 KB (1,728 words) - 08:55, 17 January 2013
  • Solving differential equations iteratively Old Kiwi
    =Review of iterative solutions to partial differential equations.=
    710 B (117 words) - 12:19, 22 October 2010
  • ECE301:SanSummer08 Old Kiwi
    ##[[LTI systems described by differential equations(CT) and difference equation(DT)_Old Kiwi]]
    4 KB (531 words) - 11:32, 25 July 2008
  • Exams/Quizzes
    * Differential/difference equations for DT/CT LTI systems computed via Fourier transform * Differential/difference equations to describe LTI systems
    5 KB (643 words) - 11:55, 6 August 2009
  • Midterm Cheat Sheet
    * LTI systems described by [[differential/difference equations]]
    1 KB (152 words) - 04:06, 23 July 2009
  • Final Cheat Sheet
    * [[Differential equations using CTFT]] * [[Difference equations using DTFT]]
    1 KB (118 words) - 01:11, 30 July 2009
  • Differential equations using CTFT
    [[Differential Equations Using CTFT - Jamis Martin]] [[Differential Equations Using CTFT - Mohd Faiz Mohd Asri]]
    113 B (16 words) - 20:56, 29 July 2009
  • Differential Equations Using CTFT - Mohd Faiz Mohd Asri
    [[Image:Differential Equations Using CTFT.doc]]
    47 B (6 words) - 20:57, 29 July 2009
  • MA523
    = MA523: Introduction To Partial Differential Equations=
    280 B (36 words) - 06:18, 21 August 2009
  • MA615
    = MA615: Numerical Methods For Partial Differential Equations I= ...introduce finite element method for solving elliptic partial differential equations. Useful for applied math students..--[[User:Huang94|Huang94]]
    454 B (60 words) - 08:50, 21 August 2009
  • MA642
    = MA642: Methods Of Linear And Nonlinear Partial Differential Equations I=
    298 B (40 words) - 08:54, 21 August 2009
  • Dknott-Philosophyofmath
    ...the rate of salt leaving the tank is relatively obvious. Consequently the differential equation modeling the situation makes sense intuitively. But the explicit f ...the physical reasoning one would have to perform if access to differential equations was not available. At the end of the pathway is a second anchor point, the
    27 KB (4,384 words) - 17:47, 26 October 2009
  • MA366
    [[Category:differential equations]] = [[Math|MA]]366: Ordinary Differential Equations =
    570 B (72 words) - 10:10, 12 January 2015
  • MA366-4
    == Homogeneous (first order) Equations == ...to the fact that the independent variable does not appear by itself in the differential equation. The terminology is confusing, but I'm still bound to adhere to it
    6 KB (1,067 words) - 18:07, 26 October 2009
  • MA366-2
    == Separable Equations == If the differential equation in question can be written as
    3 KB (632 words) - 10:56, 5 October 2009
  • MA366-3
    == Linear Equations and Integrating Factors == Suppose that, through some sort of algebraic manipulation, you can get your differential equation into the following form:
    3 KB (613 words) - 15:22, 11 October 2009
  • MA366-5
    == Exact Equations == Suppose, firstly, that your differential equation can be written this way:
    3 KB (669 words) - 10:38, 26 October 2009
  • MA366-6
    == Homogeneous Equations with Constant Coefficients == ...ifferential equation can be written as a function of y. For instance, the differential equation
    3 KB (527 words) - 18:10, 26 October 2009
  • MA366-7
    ==Homogeneous Equations with Constant Coefficients: Complex Roots== According to the formula given in the previous section, solutions to the differential equation will be of the form
    1 KB (254 words) - 13:30, 26 October 2009
  • MA 375 Spring 2010 Walther Week 4
    ...nd topology seem to have less applications. Discrete math and differential equations can be used in a lot of situations. Discrete math seems like the branch of
    1 KB (205 words) - 19:24, 19 February 2010
  • MA366DaveKnott
    ...ntinue to be an active area of mathematical research. Solving differential equations, as you will see in this course, proves to be an endeavor requiring a varie The differential equations you will study in this course are broken up into different families accordi
    1 KB (189 words) - 09:44, 29 December 2009
  • MA266
    =MA266: Ordinary Differential Equations =
    374 B (46 words) - 10:37, 13 August 2010
  • Peer Legacy MA366
    ...tions. That way, when you get to higher order and systems of differential equations, the transition will be a lot smoother. [[User:Jhunsber|Josh Hunsberger]]
    648 B (102 words) - 04:38, 17 February 2010
  • Eigen Vector(linear algebra)
    ...valuable tools in both linear algebra and solving systems of differential equations. In linear algebra Eigen Vectors can be used to find the diagonalized form
    3 KB (472 words) - 11:11, 23 April 2010
  • Snikitha ListECE301
    ...orm, bilateral Laplace Transform. Discrete-time linear systems: difference equations, Discrete-Time Fourier Transform, bilateral z-Transform. Sampling, quantiza <br/>ii. an ability to determine the the impulse response of a differential or difference equation.
    3 KB (394 words) - 07:08, 4 May 2010
  • 2010 Fall MA 265 Walther
    | [[ODEs MA265F10Walther|Systems of Differential Equations]]
    7 KB (1,024 words) - 10:42, 3 November 2011
  • 2010 Fall ECE 438 Boutin
    ...processing withPDEs ECE438F10|Image Processing Using Partial Differential Equations]]
    9 KB (1,221 words) - 11:00, 22 December 2014
  • HWK4MA527Fall2010
    Problem 18 on page 146 Do I have the time rate of change equations correct: ...48 gpm and in T2 you have an outflow of 48 gpm. So I included them in the equations as follows:
    9 KB (1,580 words) - 13:08, 22 September 2010
  • HWK5MA527Fall2010
    Re: 4.4 Problem 7: First you get the matrix that represents the differential equation: [[0 -2],[8 0]]. Solve the determinant for det(A - Lambda*I) = 0 ...advice as to how this problem should be approached? It isn't a system of equations, so how do we get the eigenvalues/vectors?
    8 KB (1,396 words) - 10:38, 28 September 2010
  • Lecture25ECE438F10
    ...onse of this system has low-pass characteristics. We then discretized this differential equation by approximating each derivative using a standard numerical scheme ...ving_differential_equations_iteratively_Old_Kiwi|How to solve differential equations iteratively]]
    2 KB (260 words) - 12:42, 22 October 2010
  • Decision Theory Glossary ECE662Spring2008
    A parametric model is a set of related mathematical equations in which alternative scenarios are defined by changing the assumed values o ==[[Partial Differential Equations (PDE)_Old Kiwi|Partial Differential Equations (PDE)]]==
    31 KB (4,787 words) - 18:21, 22 October 2010
  • Slecture differential geometry Boutin Black Wu curves in plane parameterization
    <font size="4">The Boutin Lectures on Introductory Differential Geometry </font> First, we need to define the tangent vector of the curve. If the parametric equations x(t) and y(t) are differentiable, then we may define the tangent vector to
    10 KB (1,752 words) - 17:02, 14 May 2015
  • Lecture10ECE301S11
    ...ms defined by differential equations, and DT systems defined by difference equations.
    1 KB (184 words) - 14:10, 28 February 2011
  • Lecture 10 online ECE301S11 Prof Boutin
    #Causal CT/DT systems described by differential/difference equations (Sections 2.4.1, 2.4.2, 2.4.3) ==2. Causal CT/DT systems described by differential equations ==
    10 KB (1,922 words) - 13:46, 2 February 2011
  • Textbook Review: Fundamentals of Signals
    ...r ends with an excellent little section on block diagrams for differential equations.
    5 KB (854 words) - 10:53, 6 May 2012
  • 2011 Fall MA 265 Walther
    | [[ODEs MA265F11Walther|Systems of Differential Equations]]
    7 KB (1,026 words) - 15:11, 16 December 2011
  • Formal Systems
    ...ematical representation, and techniques of linear algebra and differential equations are incredibly useful in acquiring a solution for a problem. The question i ...adjoin, inverse was all interesting techniques of solving system of linear equations, a practical and engineering-ish endeavor indeed. But I suspect that develo
    3 KB (463 words) - 18:23, 25 September 2011
  • On Study of Mathematics
    ...ch expands up to my understanding of basic linear algebra and differential equations (subjects I am enjoying very much) is what mathematicians would regard as m
    7 KB (1,309 words) - 14:24, 22 November 2011
  • Matrix multiplication MA265F11Walther
    When you have equations, and need to solve for the unknown variables, a matrix multiplication and R You can verify that the equations and the matrix are equal by doing the dot product.
    11 KB (1,835 words) - 09:06, 11 April 2013
  • 2012 Spring MA 265 Walther
    | [[ODEs MA265S12Walther|Systems of Differential Equations]] | [[Linear Equations/Matrices MA265S12Walther|Linear Equations/Matrices]]
    7 KB (1,081 words) - 05:28, 2 May 2012
  • ProfessionalStatement CodyCusic ECE400S12
    ...ical engineering. My extra courses helped me solve difficult differential equations and summations using various techniques such as using matrices and/or codin
    4 KB (718 words) - 12:14, 9 February 2012
  • Lecture 28 - Final lecture OldKiwi
    =Partial Differential Equations (Continued)= This gives us two 1-D heat equations
    10 KB (1,704 words) - 11:25, 10 June 2013
  • Eric Lewis Bonus 2
    ...n the integral. The dirac delta function can be used to solve differential equations, because the convolution of a function with the delta function is itself.
    1 KB (196 words) - 17:45, 21 April 2013
  • Explaining a Clay problem MA375S12Walther
    ...e University of Paris in 1879. His doctoral thesis was about differential equations. From 1881 on, he was a professor at the University of Paris. ...which a given 3-manifold is distorted; this distortion is controlled by a differential equation analogous to the heat equation. Commonly discussed in physics, th
    9 KB (1,549 words) - 06:55, 21 March 2013
  • 2012 Summer MA 30300 Wiles
    [[Category:Differential Equations]] [[Category:Partial Differential Equations]]
    627 B (74 words) - 07:15, 25 June 2012
  • 2012 Fall MA 265 Walther
    | [[ODEs MA265F12Walther|Systems of Differential Equations]] | [[Linear Equations Matrices MA265F12Walther|Linear Equations/Matrices]]
    6 KB (934 words) - 08:53, 24 September 2012
  • 2012 Fall MA 265 Basu
    | [[ODEs MA265F12Basu|Systems of Differential Equations]] | [[Linear Equations Matrices MA265F12Basu|Linear Equations/Matrices]]
    5 KB (761 words) - 02:09, 23 August 2012
  • ECE301 signals systems lecture notes
    ...7 ECE301Fall2008mboutin|Lecture 17]]: FTs and the f response, differential equations
    3 KB (328 words) - 17:57, 30 November 2018
  • ECE637 tomographic reconstruction CT S13 mhossain
    ...will cover the basics of the physical design of CT scanners and derive the differential equation and line integral needed for the inversion process using [[ECE637_ ...rial and the density of said material. Therefore we can form the following differential equation
    9 KB (1,390 words) - 07:24, 26 February 2014
  • Jacobian
    ...ective, stability, critical points, saddles, tangent vectors, differential equations. ===Application #3: Linearization of Systems of Differential Equations===
    18 KB (2,894 words) - 12:17, 3 March 2015
  • HWK8MA527Fall2013
    So after a bunch of algebra to solve the system of equations on prob 12 of 6.7 I got an answer. I often make simple mistakes, so I wante If you hit the system of differential equations by the Laplace transform, you'll get
    7 KB (1,302 words) - 04:58, 23 October 2013
  • Lecture42ECE438F13
    ...rocessing. In particular we discussed how one can use partial differential equations to process images. We also had a discussion about what signal processing ca
    2 KB (296 words) - 06:48, 2 December 2013
  • Chicago-REU-Analysis-2014
    partial differential equations, and numerical analysis. The introductory two
    2 KB (292 words) - 09:56, 30 January 2014
  • Mle tutorial
    Based on the above equations, we can conclude that the coin with <span class="texhtml">''p'' = 2 / 3</sp ...'''E''</sub></span>&nbsp;exists, it must satisfy the following partial <br>differential equation known as the likelihood equation:
    25 KB (4,187 words) - 10:49, 22 January 2015
  • MA366 Lab
    [[Category:Differential Equations]] [[MA366|Back to MA366: Ordinary Differential Equations]]
    5 KB (781 words) - 16:27, 5 January 2024
  • RTG-Chicago-2016
    Partial Differential Equations (by C. Kenig,  W. Schlag and P. Souganidis, Stochastic Differential Equations (by C. Smart)
    1 KB (180 words) - 15:24, 16 February 2016
  • RUE-FIT-2017-2016
    ...graduate students in innovative research in nonlinear partial differential equations, optimal control and inverse problems for systems with distributed paramete
    1 KB (175 words) - 12:27, 31 January 2017
  • ECE PhD QE FO2 2013
    a)Explain (using appropriate equations) how Maxwell’s Equations can be applied to this case to determine the characteristic impedance of th a) Show that the assumed solution, E=E sin(o)t) z , violates Maxwell's Equations even when all edge effects are not considered (ignored).
    4 KB (646 words) - 20:27, 3 June 2017
  • MathSquad2017
    *Differential Equations by [[user: wen93| Yijia (Evelyn) Wen]] **[[Introduction to Differential Equations]]
    2 KB (280 words) - 09:58, 12 January 2018
  • Introduction to Differential Equations
    == <div style="text-align:center"> Introduction to Differential Equations </div> == <font size="3px"> When I was first learning differential equations myself, I felt hard to understand the textbook and my lecture notes. After
    6 KB (1,070 words) - 23:06, 21 November 2017
  • Basic Methods to Solve 1st-Order ODEs
    ...nd how its solutions conduct. It's time to solve it, like plenty of linear equations we have done before. </font> ...l on both sides and solve out the function (solution) The standard form of differential equation to use this method is like <math>\frac{dy}{dt}=f(y)g(t)</math>, wh
    10 KB (1,764 words) - 14:31, 17 November 2017
  • The Existence and Uniqueness Theorem for Solutions to ODEs
    ...3px">Test the existence and uniqueness of the solution of the differential equations:</font> ...nd Mathematical Science, Massey University. (2017). ''160.204 Differential Equations I: Course materials.'' Auckland, New Zealand.
    5 KB (852 words) - 22:39, 16 November 2017
  • Introduction to Higher-Order ODEs
    ...ath>\frac{d^ny}{dx^n}</math>. This gives us the basic idea of differential equations in higher orders, the most general form for which is like <math>f_n(t)\frac ...solutions like Laplace transforms, variation of constants and Cauchy-Euler equations will come up later. </font>
    2 KB (283 words) - 02:01, 17 November 2017
  • Introduction to ODEs in Higher Orders
    ...ath>\frac{d^ny}{dx^n}</math>. This gives us the basic idea of differential equations in higher orders, the most general form for which is like <math>f_n(t)\frac ...solutions like Laplace transforms, variation of constants and Cauchy-Euler equations will come up later. </font>
    4 KB (712 words) - 23:15, 21 November 2017
  • Linear Systems of ODEs
    <font size="3px"> Similar as systems of algebraic equations, several ODEs can also form a system. A typical system of <math>n</math> ...ncept here is similar to using matrix operation to solve systems of linear equations (e.g. Gaussian elimination method). There is an essential theorem for it. '
    9 KB (1,504 words) - 23:12, 21 November 2017
  • Non-Linear Systems of ODEs
    ...ium point is going to be a solution of a pair of constants. Set all of the differential terms equal to <math>0</math> to find the equilibrium point. ...hence <math>x(1-2x-3y)=2y(3-x-2y)=0</math>. Solve this system of algebraic equations.
    10 KB (1,613 words) - 23:16, 21 November 2017
  • Laplace Transforms
    ...plicated ODEs, Laplace Transform is used to convert them to some algebraic equations. Then inverse Laplace Transform is used to convert the solution back. ...nd Mathematical Science, Massey University. (2017). ''160.204 Differential Equations I: Course materials.'' Auckland, New Zealand.
    6 KB (1,071 words) - 18:26, 22 November 2017
  • Advanced Methods to Solve 2nd-Order ODEs
    ...moving to our last tutorial for the introduction of ordinary differential equations. This tutorial will give three particular methods to solve ODEs in the seco ...y = 2t^2 -3 </math>, two linearly independent solutions of the homogeneous differential equation are <math>y(t)=2t+1</math>, <math>y(t)=e^{2t}</math>. It is known
    7 KB (1,254 words) - 19:49, 22 November 2017
  • Systems of ODEs
    <font size="3px"> Similar as systems of normal equations, several ODEs can also form a system. A typical system of <math>n</math> ...ncept here is similar to using matrix operation to solve systems of linear equations (e.g. Gaussian elimination method). There is an essential theorem for it. '
    8 KB (1,377 words) - 04:04, 19 November 2017
  • ECE PhD QE ES 2007 Problem2
    From KVL, the voltage equations needed for the energy calculation are found (<math>\textit{p}</math> denote The flux linkage equations for a transformer are used. Recall that the magnetic flux linked to winding
    13 KB (2,127 words) - 13:49, 16 January 2018
  • MathSquadPages
    *Differential Equations by [[user: wen93| Yijia (Evelyn) Wen]] **[[Introduction to Differential Equations]]
    3 KB (370 words) - 09:55, 12 January 2018
  • ECE PhD QE PE1 2012 Problem1
    ...> electrical inputs and single mechanical input follows the energy balance equations given below. It is assumed that there are no radiation energy transfers and ...force on the mechanical system is the line integral of the force with the differential displacement. (Negation arises from the way <math>W_m</math> is defined.)
    7 KB (1,270 words) - 14:25, 12 February 2018
  • Page 5
    ...sor analysis to conceptualize the impedance of capacitors. In differential equations, we can see that euler's formula can be applied to simplify solutions becau
    5 KB (808 words) - 01:13, 3 December 2018
  • Walther MA271 Fall2020 topic20
    ...expressed in the frequency domain. For example, when solving differential equations with boundary constraints it is sometimes quite difficult to solve in the t
    12 KB (2,051 words) - 14:20, 5 December 2020
  • Walther MA271 Fall2020 topic25
    # What is a Partial Differential Equation ...s (PDEs) will be explained later on, but for now they can be thought of as equations that describe how a function’s value at any point changes, as opposed to
    10 KB (1,617 words) - 01:27, 7 December 2020

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