Differential Equations
Differential Equations 1 The Geometrical View of y\'=f(x,y): Direction Fields, Integral Curves. (Arthur Mattuck, Haynes Miller / MIT)  의 1 번째 Windows Media 동영상입니다.
Differential Equations 10 Continuation: Complex Characteristic Roots; Undamped and Damped Oscillations. (Arthur Mattuck, Haynes Miller / MIT)  의 1 번째 Windows Media 동영상입니다.
Differential Equations 11 Theory of General Second-order Linear Homogeneous ODE\'s: Superposition, Uniqueness, Wronskians. (Arthur Mattuck, Haynes Miller / MIT)  의 1 번째 Windows Media 동영상입니다.
Differential Equations 12 Continuation: General Theory for Inhomogeneous ODE\'s. Stability Criteria for the Constant-coefficient ODE\'s. (Arthur Mattuck, Haynes Miller / MIT)  의 1 번째 Windows Media 동영상입니다.
Differential Equations 13 Finding Particular Sto Inhomogeneous ODE\'s: Operator and Solution Formulas Involving Ixponentials. (Arthur Mattuck, Haynes Miller / MIT)  의 1 번째 Windows Media 동영상입니다.
Differential Equations 14 Interpretation of the Exceptional Case: Resonance. (Arthur Mattuck, Haynes Miller / MIT)  의 1 번째 Windows Media 동영상입니다.
Differential Equations 15 Introduction to Fourier Series; Basic Formulas for Period 2(pi). (Arthur Mattuck, Haynes Miller / MIT)  의 1 번째 Windows Media 동영상입니다.
Differential Equations 16 Continuation: More General Periods; Even and Odd Functions; Periodic Extension. (Arthur Mattuck, Haynes Miller / MIT)  의 1 번째 Windows Media 동영상입니다.
Differential Equations 17 Finding Particular Solutions via Fourier Series; Resonant Terms; Hearing Musical Sounds. (Arthur Mattuck, Haynes Miller / MIT)  의 1 번째 Windows Media 동영상입니다.
Differential Equations 18 Introduction to the Laplace Transform; Basic Formulas. (Arthur Mattuck, Haynes Miller / MIT)  의 1 번째 Windows Media 동영상입니다.
Differential Equations 19 Derivative Formulas; Using the Laplace Transform to Solve Linear ODE\'s. (Arthur Mattuck, Haynes Miller / MIT)  의 1 번째 Windows Media 동영상입니다.
Differential Equations 2 Euler\'s Numerical Method for y\'=f(x,y) and its Generalizations. (Arthur Mattuck, Haynes Miller / MIT)  의 1 번째 Windows Media 동영상입니다.
Differential Equations 20 Convolution Formula: Proof, Connection with Laplace Transform, Application to Physical Problems. (Arthur Mattuck, Haynes Miller / MIT)  의 1 번째 Windows Media 동영상입니다.
Differential Equations 21 Using Laplace Transform to Solve ODE\'s with Discontinuous Inputs. (Arthur Mattuck, Haynes Miller / MIT)  의 1 번째 Windows Media 동영상입니다.
Differential Equations 22 Use with Impulse Inputs; Dirac Delta Function, Weight and Transfer Functions. (Arthur Mattuck, Haynes Miller / MIT)  의 1 번째 Windows Media 동영상입니다.
Differential Equations 23 Introduction to First-order Systems of ODE\'s; Solution by Elimination, Geometric Interpretation of a System. (Arthur Mattuck, Haynes Miller / MIT)  의 1 번째 Windows Media 동영상입니다.
Differential Equations 24 Homogeneous Linear Systems with Constant Coefficients: Solution via Matrix Eigenvalues (Real and Distinct Case). (Arthur Mattuck, Haynes Miller / MIT)  의 1 번째 Windows Media 동영상입니다.
Differential Equations 25 Continuation: Repeated Real Eigenvalues, Complex Eigenvalues. (Arthur Mattuck, Haynes Miller / MIT)  의 1 번째 Windows Media 동영상입니다.
Differential Equations 26 Sketching Solutions of 2x2 Homogeneous Linear System with Constant Coefficients. (Arthur Mattuck, Haynes Miller / MIT)  의 1 번째 Windows Media 동영상입니다.
Differential Equations 27 Matrix Methods for Inhomogeneous Systems: Theory, Fundamental Matrix, Variation of Parameters. (Arthur Mattuck, Haynes Miller / MIT)  의 1 번째 Windows Media 동영상입니다.
Differential Equations 28 Matrix Exponentials; Application to Solving Systems. (Arthur Mattuck, Haynes Miller / MIT)  의 1 번째 Windows Media 동영상입니다.
Differential Equations 29 Decoupling Linear Systems with Constant Coefficients. (Arthur Mattuck, Haynes Miller / MIT)  의 1 번째 Windows Media 동영상입니다.
Differential Equations 3 Solving First-order Linear ODE\'s; Steady-state and Transient Solutions. (Arthur Mattuck, Haynes Miller / MIT)  의 1 번째 Windows Media 동영상입니다.
Differential Equations 30 Non-linear Autonomous Systems: Finding the Critical Points and Sketching Trajectories; the Non-linear Pendulum. (Arthur Mattuck, Haynes Miller / MIT)  의 1 번째 Windows Media 동영상입니다.
Differential Equations 31 Limit Cycles: Existence and Non-existence Criteria. (Arthur Mattuck, Haynes Miller / MIT)  의 1 번째 Windows Media 동영상입니다.
Differential Equations 32 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. (Arthur Mattuck, Haynes Miller / MIT)  의 1 번째 Windows Media 동영상입니다.
Differential Equations 4 First-order Substitution Methods: Bernouilli and Homogeneous ODE\'s. (Arthur Mattuck, Haynes Miller / MIT)  의 1 번째 Windows Media 동영상입니다.
Differential Equations 5 First-order Autonomous ODE\'s: Qualitative Methods, Applications. (Arthur Mattuck, Haynes Miller / MIT)  의 1 번째 Windows Media 동영상입니다.
Differential Equations 6 Complex Numbers and Complex Exponentials. (Arthur Mattuck, Haynes Miller / MIT)  의 1 번째 Windows Media 동영상입니다.
Differential Equations 7 First-order Linear with Constant Coefficients: Behavior of Solutions, Use of Complex Methods. (Arthur Mattuck, Haynes Miller / MIT)  의 1 번째 Windows Media 동영상입니다.
Differential Equations 8 Continuation; Applications to Temperature, Mixing, RC-circuit, Decay, and Growth Models. (Arthur Mattuck, Haynes Miller / MIT)  의 1 번째 Windows Media 동영상입니다.
Differential Equations 9 Solving Second-order Linear ODE\'s with Constant Coefficients: The Three Cases. (Arthur Mattuck, Haynes Miller / MIT)  의 1 번째 Windows Media 동영상입니다.
Back to top of page