Free Online Lectures and Courses for Mathematics
40 Courses
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Differential & Integral Calculus, Math 31A, Part 1
Steve Butler
00:37:26
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Differential & Integral Calculus, Math 31A, Part 2
Steve Butler
00:45:37
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Differential & Integral Calculus, Math 31A, Part 3
Steve Butler
00:46:41
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Differential & Integral Calculus, Math 31A, Part 4
Steve Butler
00:51:20
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Differential & Integral Calculus, Math 31A, Part 5
Steve Butler
00:42:04
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Differential & Integral Calculus, Math 31A, Part 6
Steve Butler
00:39:32
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Differential & Integral Calculus, Math 31A, Part 7
Steve Butler
00:43:35
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Differential & Integral Calculus, Math 31A, Part 8
Steve Butler
00:49:41
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Differential & Integral Calculus, Math 31A, Part 9
Steve Butler
00:47:54
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Differential & Integral Calculus, Math 31A, Part 10
Steve Butler
00:49:38
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Differential & Integral Calculus, Math 31A, Part 11
Steve Butler
00:49:27
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Differential & Integral Calculus, Math 31A, Part 12
Steve Butler
00:48:30
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Differential & Integral Calculus, Math 31A, Part 13
Steve Butler
00:48:08
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Differential & Integral Calculus, Math 31A, Part 14
Steve Butler
00:48:34
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Differential & Integral Calculus, Math 31A, Part 15
Steve Butler
00:44:21
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Differential & Integral Calculus, Math 31A, Part 16
Steve Butler
00:46:44
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Differential & Integral Calculus, Math 31A, Part 17
Steve Butler
00:40:36
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Differential & Integral Calculus, Math 31A, Part 18
Steve Butler
00:45:10
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Differential & Integral Calculus, Math 31A, Part 19
Steve Butler
00:48:08
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Differential & Integral Calculus, Math 31A, Part 20
Steve Butler
00:31:08
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Differential & Integral Calculus, Math 31A, Part 21
Steve Butler
00:50:32
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Differential & Integral Calculus, Math 31A, Part 22
Steve Butler
00:50:32
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Differential & Integral Calculus, Math 31A, Part 23
Steve Butler
00:51:15
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Differential & Integral Calculus, Math 31A, Part 24
Steve Butler
00:49:24
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Differential & Integral Calculus, Math 31A, Part 25
Steve Butler
00:41:49
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The Geometrical View of y'=f(x,y): Direction Fields, Integral Curves
Arthur Mattuck
00:48:55
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Euler's Numerical Method for y'=f(x,y) and its Generalizations
Arthur Mattuck
00:50:43
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Solving First-order Linear ODE's; Steady-state and Transient Solutions
Arthur Mattuck
00:50:22
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First-order Substitution Methods: Bernouilli and Homogeneous ODE's
Arthur Mattuck
00:50:11
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First-order Autonomous ODE's: Qualitative Methods, Applications
Arthur Mattuck
00:45:44
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Complex Numbers and Complex Exponentials
Arthur Mattuck
00:45:26
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First-Order Linear with Constant Coefficients
Arthur Mattuck
00:41:10
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Applications to Temperature, Mixing, RC-circuit, Decay, and Growth Models
Arthur Mattuck
00:50:35
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Solving Second-Order Linear ODE's with Constant Coefficients
Arthur Mattuck
00:49:58
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Complex Characteristic Roots; Undamped and Damped Oscillations
Arthur Mattuck
00:46:23
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Second-Order Linear Homogeneous ODE's: Superposition, Uniqueness, Wronskians
Arthur Mattuck
00:50:31
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Inhomogeneous ODE's; Stability Criteria for Constant-Coefficient ODE's
Arthur Mattuck
00:46:24
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Inhomogeneous ODE's: Operator and Solution Formulas Involving Ixponentials
Arthur Mattuck
00:47:54
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Interpretation of the Exceptional Case: Resonance
Arthur Mattuck
00:44:25
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Introduction to Fourier Series; Basic Formulas for Period 2(pi)
Arthur Mattuck
00:49:31
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More General Periods; Even and Odd Functions; Periodic Extension
Arthur Mattuck
00:49:28
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Finding Particular Solutions via Fourier Series; Resonant Terms
Arthur Mattuck
00:45:44
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Derivative Formulas; Using the Laplace Transform to Solve Linear ODE's
Arthur Mattuck
00:51:05
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Convolution Formula: Proof, Connection with Laplace Transform, Application
Arthur Mattuck
00:44:19
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Using Laplace Transform to Solve ODE's with Discontinuous Inputs
Arthur Mattuck
00:44:08
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Impulse Inputs; Dirac Delta Function, Weight and Transfer Functions
Arthur Mattuck
00:44:54
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First-Order Systems of ODE's; Solution by Elimination, Geometric Interpretation
Arthur Mattuck
00:47:02
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Homogeneous Linear Systems with Constant Coefficients: Solution via Matrix Eigenvalues
Arthur Mattuck
00:49:05
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Continuation: Repeated Real Eigenvalues, Complex Eigenvalues
Arthur Mattuck
00:46:36
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Sketching Solutions of 2x2 Homogeneous Linear System with Constant Coefficients
Arthur Mattuck
00:50:25
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Matrix Methods for Inhomogeneous Systems
Arthur Mattuck
00:46:52
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Matrix Exponentials; Application to Solving Systems
Arthur Mattuck
00:48:51
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Decoupling Linear Systems with Constant Coefficients
Arthur Mattuck
00:47:05
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Non-linear Autonomous Systems: Finding the Critical Points and Sketching Trajectories
Arthur Mattuck
00:47:09
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Limit Cycles: Existence and Non-existence Criteria
Arthur Mattuck
00:45:52
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Non-Linear Systems and First-Order ODE's
Arthur Mattuck
00:50:09
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Logistic Differential Equation
Patrick Jones
00:05:20
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Euler's Method - Another Example #1
Patrick Jones
00:05:35
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Euler's Method - Another Example #2
Patrick Jones
00:05:53
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Solving a Separable Differential Equation, Another Example #1
Patrick Jones
00:03:40
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Solving a Separable Differential Equation, Another Example #2
Patrick Jones
00:02:04
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Solving a Separable Differential Equation, Another Example #3
Patrick Jones
00:01:21
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Solving a Separable Differential Equation, Another Example #4, Initial Condition
Patrick Jones
00:04:24
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Solving a Separable Differential Equation, Another Example #5, Initial Condition
Patrick Jones
00:04:20
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Basic Differential Equation with an Initial Condition
Patrick Jones
00:02:00
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Differential Equations - Basic Idea of What It Means to be a Solution
Patrick Jones
00:03:47
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First Order Linear Differential Equations / Integrating Factors - Ex 2
Patrick Jones
00:03:30
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Change of Variables / Homogeneous Differential Equation - Example 1
Patrick Jones
00:07:39
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Change of Variables / Homogeneous Differential Equation - Example 2
Patrick Jones
00:08:31
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Change of Variables / Homogeneous Differential Equation - Example 3
Patrick Jones
00:05:52
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Change of Variables / Homogeneous Differential Equation - Example 4
Patrick Jones
00:12:12
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The Inverse Laplace Transform - Example and Important Theorem
Patrick Jones
00:05:36
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Table of Laplace Transforms
Patrick Jones
00:01:13
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The Laplace Transform - The Basic Idea of How We Use It
Patrick Jones
00:01:33
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Laplace Transform is a Linear Operator - Proof
Patrick Jones
00:03:36
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The Laplace Transform, Basic Properties - Definitions and Derivatives
Patrick Jones
00:13:09
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The Laplace Transform - More Derivatives
Patrick Jones
00:04:13
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The Logistic Equation and Models for Population - Example 1, part 1
Patrick Jones
00:07:04
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The Logistic Equation and Models for Population - Example 1, part 2
Patrick Jones
00:05:09
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Power Series Solutions of Differential Equations
Patrick Jones
00:11:45
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The Logistic Equation and the Analytic Solution
Patrick Jones
00:12:10
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Exact Differential Equations
Patrick Jones
00:05:48
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First Order Linear Differential Equations
Patrick Jones
00:05:48
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