Arthur Mattuck
homepage:http://www-math.mit.edu/~apm/
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Lectures:

lecture
flag Lecture 33: Relation Between Non-linear Systems and First-order ODE's; Structural Stability of a System, Borderline Sketching Cases; Illustrations Using Volterra's Equation and Principle
as author at  MIT 18.03 Differential Equations - Spring 2006,
797 views
  lecture
flag Lecture 32: Limit Cycles: Existence and Non-existence Criteria
as author at  MIT 18.03 Differential Equations - Spring 2006,
1920 views
lecture
flag Lecture 31: Non-linear Autonomous Systems: Finding the Critical Points and Sketching Trajectories; the Non-linear Pendulum
as author at  MIT 18.03 Differential Equations - Spring 2006,
1181 views
  lecture
flag Lecture 30: Decoupling Linear Systems with Constant Coefficients
as author at  MIT 18.03 Differential Equations - Spring 2006,
427 views
lecture
flag Lecture 29: Matrix Exponentials; Application to Solving Systems
as author at  MIT 18.03 Differential Equations - Spring 2006,
422 views
  lecture
flag Lecture 28: Matrix Methods for Inhomogeneous Systems: Theory, Fundamental Matrix, Variation of Parameters
as author at  MIT 18.03 Differential Equations - Spring 2006,
795 views
lecture
flag Lecture 27: Sketching Solutions of 2x2 Homogeneous Linear System with Constant Coefficients
as author at  MIT 18.03 Differential Equations - Spring 2006,
383 views
  lecture
flag Lecture 26: Continuation: Repeated Real Eigenvalues, Complex Eigenvalues
as author at  MIT 18.03 Differential Equations - Spring 2006,
711 views
lecture
flag Lecture 25: Homogeneous Linear Systems with Constant Coefficients: Solution via Matrix Eigenvalues (Real and Distinct Case)
as author at  MIT 18.03 Differential Equations - Spring 2006,
1314 views
  lecture
flag Lecture 24: Introduction to First-order Systems of ODE's; Solution by Elimination, Geometric Interpretation of a System
as author at  MIT 18.03 Differential Equations - Spring 2006,
700 views
lecture
flag Lecture 23: Use with Impulse Inputs; Dirac Delta Function, Weight and Transfer Functions
as author at  MIT 18.03 Differential Equations - Spring 2006,
1554 views
  lecture
flag Lecture 22: Using Laplace Transform to Solve ODE's with Discontinuous Inputs
as author at  MIT 18.03 Differential Equations - Spring 2006,
1640 views
lecture
flag Lecture 21: Convolution Formula: Proof, Connection with Laplace Transform, Application to Physical Problems
as author at  MIT 18.03 Differential Equations - Spring 2006,
2787 views
  lecture
flag Lecture 20: Derivative Formulas; Using the Laplace Transform to Solve Linear ODE's
as author at  MIT 18.03 Differential Equations - Spring 2006,
2599 views
lecture
flag Lecture 19: Introduction to the Laplace Transform; Basic Formulas
as author at  MIT 18.03 Differential Equations - Spring 2006,
8365 views
  lecture
flag Lecture 17: Finding Particular Solutions via Fourier Series; Resonant Terms; Hearing Musical Sounds
as author at  MIT 18.03 Differential Equations - Spring 2006,
835 views
lecture
flag Lecture 16: Continuation: More General Periods; Even and Odd Functions; Periodic Extension
as author at  MIT 18.03 Differential Equations - Spring 2006,
888 views
  lecture
flag Lecture 15: Introduction to Fourier Series; Basic Formulas for Period 2(pi)
as author at  MIT 18.03 Differential Equations - Spring 2006,
6498 views
lecture
flag Lecture 14: Interpretation of the Exceptional Case: Resonance
as author at  MIT 18.03 Differential Equations - Spring 2006,
515 views
  lecture
flag Lecture 13: Finding Particular Sto Inhomogeneous ODE's: Operator and Solution Formulas Involving Ixponentials
as author at  MIT 18.03 Differential Equations - Spring 2006,
552 views
lecture
flag Lecture 12: Continuation: General Theory for Inhomogeneous ODE's. Stability Criteria for the Constant-coefficient ODE's
as author at  MIT 18.03 Differential Equations - Spring 2006,
633 views
  lecture
flag Lecture 11: Theory of General Second-order Linear Homogeneous ODE's: Superposition, Uniqueness, Wronskians
as author at  MIT 18.03 Differential Equations - Spring 2006,
827 views
lecture
flag Lecture 10: Continuation: Complex Characteristic Roots; Undamped and Damped Oscillations
as author at  MIT 18.03 Differential Equations - Spring 2006,
771 views
  lecture
flag Lecture 9: Solving Second-order Linear ODE's with Constant Coefficients: The Three Cases
as author at  MIT 18.03 Differential Equations - Spring 2006,
1479 views
lecture
flag Lecture 8: Continuation; Applications to Temperature, Mixing, RC-circuit, Decay, and Growth Models
as author at  MIT 18.03 Differential Equations - Spring 2006,
743 views
  lecture
flag Lecture 7: First-order Linear with Constant Coefficients: Behavior of Solutions, Use of Complex Methods
as author at  MIT 18.03 Differential Equations - Spring 2006,
1043 views
lecture
flag Lecture 6: Complex Numbers and Complex Exponentials
as author at  MIT 18.03 Differential Equations - Spring 2006,
2457 views
  lecture
flag Lecture 5: First-order Autonomous ODE's: Qualitative Methods, Applications
as author at  MIT 18.03 Differential Equations - Spring 2006,
1133 views
lecture
flag Lecture 4: First-order Substitution Methods: Bernouilli and Homogeneous ODE's
as author at  MIT 18.03 Differential Equations - Spring 2006,
1661 views
  lecture
flag Lecture 3: Solving First-order Linear ODE's; Steady-state and Transient Solutions
as author at  MIT 18.03 Differential Equations - Spring 2006,
2714 views
lecture
flag Lecture 2: Euler's Numerical Method for y'=f(x,y) and its Generalizations
as author at  MIT 18.03 Differential Equations - Spring 2006,
3162 views
  event
flag MIT 18.03 Differential Equations - Spring 2006
as author at  MIT 18.03 Differential Equations - Spring 2006,
lecture
flag Lecture 1: The Geometrical View of y'=f(x,y): Direction Fields, Integral Curves
as author at  MIT 18.03 Differential Equations - Spring 2006,
10670 views