MIT 18.03SC Differential Equations, Fall 2011 (English)

   Monday, December 23, 2024   

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Lecture 1: Separable Equations | MIT 18.03SC Differential Equations, Fall 2011

Lecture 2: Exploration of the Amplitude and Phase: First Order Applet

Lecture 3: Lec 1 | MIT 18.03 Differential Equations, Spring 2006

Lecture 4: Exploration of the Isoclines Applet

Lecture 5: Direction Fields | MIT 18.03SC Differential Equations, Fall 2011

Lecture 6: Lec 2 | MIT 18.03 Differential Equations, Spring 2006

Lecture 7: Exploration of the Euler's Method Applet

Lecture 8: Euler's Method | MIT 18.03SC Differential Equations, Fall 2011

Lecture 9: Lec 3 | MIT 18.03 Differential Equations, Spring 2006

Lecture 10: Linear Equations | MIT 18.03SC Differential Equations, Fall 2011

Lecture 11: Solutions of First-order Linear Equations | MIT 18.03SC Differential Equations, Fall 2011

Lecture 12: Lec 6 | MIT 18.03 Differential Equations, Spring 2006

Lecture 13: Complex Numbers and Euler's Formula | MIT 18.03SC Differential Equations, Fall 2011

Lecture 14: Lec 8 | MIT 18.03 Differential Equations, Spring 2006

Lecture 15: Sinusoidal Functions | MIT 18.03SC Differential Equations, Fall 2011

Lecture 16: Lec 7 | MIT 18.03 Differential Equations, Spring 2006

Lecture 17: First-order Constant Coefficient Linear ODE's | MIT 18.03SC Differential Equations, Fall 2011

Lecture 18: Sinusoidal Inputs | MIT 18.03SC Differential Equations, Fall 2011

Lecture 19: Lec 5 | MIT 18.03 Differential Equations, Spring 2006

Lecture 20: Exploration of the Phase Lines Applet

Lecture 21: Lec 9 | MIT 18.03 Differential Equations, Spring 2006

Lecture 22: Autonomous Equations and Phase Lines | MIT 18.03SC Differential Equations, Fall 2011

Lecture 23: Homogeneous Constant Coefficient Equations: Any Roots | MIT 18.03SC Differential Equations

Lecture 24: Homogeneous Constant Coefficient Equations: Real Roots | MIT 18.03SC Differential Equations

Lecture 25: Lec 10 | MIT 18.03 Differential Equations, Spring 2006

Lecture 26: Exploration of the Damped Vibrations Applet

Lecture 27: Damped Harmonic Oscillators | MIT 18.03SC Differential Equations, Fall 2011

Lecture 28: Lec 11 | MIT 18.03 Differential Equations, Spring 2006

Lecture 29: Lec 12 | MIT 18.03 Differential Equations, Spring 2006

Lecture 30: Lec 13 | MIT 18.03 Differential Equations, Spring 2006

Lecture 31: Forced Oscillations | MIT 18.03SC Differential Equations, Fall 2011

Lecture 32: Gain and Phase Lag | MIT 18.03SC Differential Equations, Fall 2011

Lecture 33: Undetermined Coefficients | MIT 18.03SC Differential Equations, Fall 2011

Lecture 34: Lec 14 | MIT 18.03 Differential Equations, Spring 2006

Lecture 35: Pure Resonance | MIT 18.03SC Differential Equations, Fall 2011

Lecture 36: Exploration of the Amplitude and Phase: Second Order II Applet

Lecture 37: Frequency Response | MIT 18.03SC Differential Equations, Fall 2011

Lecture 38: Lec 15 | MIT 18.03 Differential Equations, Spring 2006

Lecture 39: Lec 16 | MIT 18.03 Differential Equations, Spring 2006

Lecture 40: Computing Fourier Series | MIT 18.03SC Differential Equations, Fall 2011

Lecture 41: Exploration of the Fourier Coefficient Applet

Lecture 42: Manipulating Fourier Series | MIT 18.03SC Differential Equations, Fall 2011

Lecture 43: Lec 17 | MIT 18.03 Differential Equations, Spring 2006

Lecture 44: Linear ODE's with Periodic Input | MIT 18.03SC Differential Equations, Fall 2011

Lecture 45: Step and Delta Functions | MIT 18.03SC Differential Equations, Fall 2011

Lecture 46: Unit Step and Impulse Response | MIT 18.03SC Differential Equations, Fall 2011

Lecture 47: Lec 21 | MIT 18.03 Differential Equations, Spring 2006

Lecture 48: Exploration of the Convolution Accumulation Applet

Lecture 49: Convolution and Green's Formula | MIT 18.03SC Differential Equations, Fall 2011

Lecture 50: Lec 19 | MIT 18.03 Differential Equations, Spring 2006

Lecture 51: Lec 20 | MIT 18.03 Differential Equations, Spring 2006

Lecture 52: Laplace Transform: Basics | MIT 18.03SC Differential Equations, Fall 2011

Lecture 53: Partial Fractions and Laplace Inverse | MIT 18.03SC Differential Equations, Fall 2011

Lecture 54: Laplace: Solving ODE's | MIT 18.03SC Differential Equations, Fall 2011

Lecture 55: Pole Diagrams | MIT 18.03SC Differential Equations, Fall 2011

Lecture 56: Lec 24 | MIT 18.03 Differential Equations, Spring 2006

Lecture 57: Linear Systems of Equations | MIT 18.03SC Differential Equations, Fall 2011

Lecture 58: Lec 25 | MIT 18.03 Differential Equations, Spring 2006

Lecture 59: Lec 26 | MIT 18.03 Differential Equations, Spring 2006

Lecture 60: Linear Systems: Complex Roots | MIT 18.03SC Differential Equations, Fall 2011

Lecture 61: Linear Systems: Matrix Methods | MIT 18.03SC Differential Equations, Fall 2011

Lecture 62: Lec 27 | MIT 18.03 Differential Equations, Spring 2006

Lecture 63: Phase Portraits | MIT 18.03SC Differential Equations, Fall 2011

Lecture 64: Trace-Determinant Diagram | MIT 18.03SC Differential Equations, Fall 2011

Lecture 65: Lec 28 | MIT 18.03 Differential Equations, Spring 2006

Lecture 66: Lec 29 | MIT 18.03 Differential Equations, Spring 2006

Lecture 67: Matrix Exponentials | MIT 18.03SC Differential Equations, Fall 2011

Lecture 68: Lec 30 | MIT 18.03 Differential Equations, Spring 2006

Lecture 69: Lec 33 | MIT 18.03 Differential Equations, Spring 2006

Lecture 70: Lec 31 | MIT 18.03 Differential Equations, Spring 2006

Lecture 71: Linearization | MIT 18.03SC Differential Equations, Fall 2011

Lecture 72: Lec 32 | MIT 18.03 Differential Equations, Spring 2006