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David Shirokoff

Faculty & Visiting Speaker, MIT

David Shirokoff is a faculty member and visiting speaker at MIT, specializing in applied mathematics and differential equations.

1course·33total lectures·19hrecorded

MIT MathematicsCo-taught withArthur Mattuck Lydia Bourouiba Haynes Miller

Intellectual Web & Academic Lineage · David Shirokoff

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Verified alma mater degrees, faculty appointments, co-authors, doctoral lineage, and intellectual peers across the archive.

Faculty Appointmentinstitution

46 courses · 905 lectures

Faculty & Visiting Speaker, MIT

Computational Fluid Dynamics and Aerodynamics Advanced Numerical Methods in Computational Mathematics Numerical Solvers for Ordinary Differential Equations

Courses by David Shirokoff

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Complete university lecture series taught by David Shirokoff.

MIT 18.03: Differential Equations

MIT · 18.0333 lectures · 19h

Mathematics·undergraduate

Differential Equations

Direction fields, first-order and second-order linear ODEs, complex exponentials, resonance, Fourier series, Laplace transforms, Dirac delta impulses, and linear systems.

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All lectures by David Shirokoff

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Showing 20 of 33 lectures

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Sinusoidal Functions

Sinusoidal Functions

18.03 · Differential Equations · Lec 11·Differential Equations (ODEs & PDEs) · David Shirokoff · MIT

David Shirokoff

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15:04

First-order Constant Coefficient Linear ODE's

First-order Constant Coefficient Linear ODE's

18.03 · Differential Equations · Lec 7·Differential Equations (ODEs & PDEs) · David Shirokoff · MIT

David Shirokoff

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13:19

Direction Fields in Differential Equations

Direction Fields in Differential Equations

18.03 · Differential Equations · Lec 6·Differential Equations (ODEs & PDEs) · David Shirokoff · MIT

David Shirokoff

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11:09

Euler's Method for Differential Equations

Euler's Method for Differential Equations

18.03 · Differential Equations · Lec 2·Differential Equations (ODEs & PDEs) · David Shirokoff · MIT

David Shirokoff

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10:17

Linear Equations in Differential Equations

Linear Equations in Differential Equations

18.03 · Differential Equations · Lec 18·Differential Equations (ODEs & PDEs) · David Shirokoff · MIT

David Shirokoff

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10:42

Introduction to the Laplace Transform; Basic Formulas

Introduction to the Laplace Transform; Basic Formulas

18.03 · Differential Equations · Lec 30·Differential Equations (ODEs & PDEs) · Arthur Mattuck · MIT

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47:40

Direction Fields and Integral Curves

Direction Fields and Integral Curves

18.03 · Differential Equations · Lec 1·Differential Equations (ODEs & PDEs) · Arthur Mattuck · MIT

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48:56

Derivative Formulas; Using the Laplace Transform to Solve Linear ODE's

Derivative Formulas; Using the Laplace Transform to Solve Linear ODE's

18.03 · Differential Equations · Lec 31·Differential Equations (ODEs & PDEs) · Arthur Mattuck · MIT

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51:08

Euler's Numerical Method for y'=f(x,y) and its Generalizations

Euler's Numerical Method for y'=f(x,y) and its Generalizations

18.03 · Differential Equations · Lec 5·Differential Equations (ODEs & PDEs) · Arthur Mattuck · MIT

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50:45

Solving Second-order Linear ODE's with Constant Coefficients: The Three Cases

Solving Second-order Linear ODE's with Constant Coefficients: The Three Cases

18.03 · Differential Equations · Lec 21·Differential Equations (ODEs & PDEs) · Arthur Mattuck · MIT

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50:01

Complex Characteristic Roots; Undamped and Damped Oscillations

Complex Characteristic Roots; Undamped and Damped Oscillations

18.03 · Differential Equations · Lec 22·Differential Equations (ODEs & PDEs) · Arthur Mattuck · MIT

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46:24

First-order Linear ODEs: Steady-state and Transient Solutions

First-order Linear ODEs: Steady-state and Transient Solutions

18.03 · Differential Equations · Lec 9·Differential Equations (ODEs & PDEs) · Arthur Mattuck · MIT

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50:22

Finding Particular Solutions to Inhomogeneous ODE's: Operator and Solution Formulas Involving Exponentials

Finding Particular Solutions to Inhomogeneous ODE's: Operator and Solution Formulas Involving Exponentials

18.03 · Differential Equations · Lec 25·Differential Equations (ODEs & PDEs) · Arthur Mattuck · MIT

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47:56

Complex Numbers and Complex Exponentials

Complex Numbers and Complex Exponentials

18.03 · Differential Equations · Lec 17·Differential Equations (ODEs & PDEs) · Arthur Mattuck · MIT

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45:28

General Theory for Inhomogeneous ODE's; Stability Criteria for Constant-coefficient ODE's

General Theory for Inhomogeneous ODE's; Stability Criteria for Constant-coefficient ODE's

18.03 · Differential Equations · Lec 24·Differential Equations (ODEs & PDEs) · Arthur Mattuck · MIT

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46:24

Theory of General Second-order Linear Homogeneous ODE's: Superposition, Uniqueness, Wronskians

Theory of General Second-order Linear Homogeneous ODE's: Superposition, Uniqueness, Wronskians

18.03 · Differential Equations · Lec 23·Quantum Mechanics · Arthur Mattuck · MIT

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50:32

Convolution Formula: Proof, Connection with Laplace Transform, Application to Physical Problems

Convolution Formula: Proof, Connection with Laplace Transform, Application to Physical Problems

18.03 · Differential Equations · Lec 32·Differential Equations (ODEs & PDEs) · Arthur Mattuck · MIT

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44:20

First-order Autonomous ODEs: Qualitative Methods and Applications

First-order Autonomous ODEs: Qualitative Methods and Applications

18.03 · Differential Equations · Lec 15·Differential Equations (ODEs & PDEs) · Arthur Mattuck · MIT

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45:46

Introduction to Fourier Series; Basic Formulas for Period 2π

Introduction to Fourier Series; Basic Formulas for Period 2π

18.03 · Differential Equations · Lec 27·Fourier & Functional Analysis · Arthur Mattuck · MIT

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49:32

Interpretation of the Exceptional Case: Resonance

Interpretation of the Exceptional Case: Resonance

18.03 · Differential Equations · Lec 26·Differential Equations (ODEs & PDEs) · Arthur Mattuck · MIT

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44:26

Showing 20 of 33 lectures·13h shown