Khan Academy
7,713 videos, +5,400,000 subscribers



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Visualizing a column space as a plane in R3 | Vectors and spaces | Linear Algebra | Khan Academy21:1157,325
Null space and column space basis | Vectors and spaces | Linear Algebra | Khan Academy25:13251,431
Column space of a matrix | Vectors and spaces | Linear Algebra | Khan Academy10:40159,676
Null space 3: Relation to linear independence | Vectors and spaces | Linear Algebra | Khan Academy11:35105,975
Null space 2: Calculating the null space of a matrix | Linear Algebra | Khan Academy13:80261,785
Introduction to the null space of a matrix | Vectors and spaces | Linear Algebra | Khan Academy10:23240,954
Matrix vector products | Vectors and spaces | Linear Algebra | Khan Academy21:10106,443
Matrices: Reduced row echelon form 3 | Vectors and spaces | Linear Algebra | Khan Academy12:80113,115
Matrices: Reduced row echelon form 1 | Vectors and spaces | Linear Algebra | Khan Academy17:43463,086
Matrices: Reduced row echelon form 2 | Vectors and spaces | Linear Algebra | Khan Academy7:37158,077
Integrals: Trig Substitution 28:11193,956
Integrals: Trig Substitution 3 (long problem)17:52159,955
Integrals: Trig Substitution 17:38410,736
Extreme derivative word problem (advanced) | Differential Calculus | Khan Academy23:13140,400
Trig Implicit Differentiation Example12:80124,629
Dot and cross product comparison/intuition | Vectors and spaces | Linear Algebra | Khan Academy19:14120,306
Proof: Relationship between cross product and sin of angle | Linear Algebra | Khan Academy18:9078,957
Cross product introduction | Vectors and spaces | Linear Algebra | Khan Academy15:47204,560
Defining a plane in R3 with a point and normal vector | Linear Algebra | Khan Academy13:53154,989
Defining the angle between vectors | Vectors and spaces | Linear Algebra | Khan Academy25:11184,633
Vector triangle inequality | Vectors and spaces | Linear Algebra | Khan Academy18:53102,539
Proof of the Cauchy-Schwarz inequality | Vectors and spaces | Linear Algebra | Khan Academy16:56190,755
Proving vector dot product properties | Vectors and spaces | Linear Algebra | Khan Academy10:46145,304
Vector dot product and vector length | Vectors and spaces | Linear Algebra | Khan Academy9:10295,753
Basis of a subspace | Vectors and spaces | Linear Algebra | Khan Academy19:00430,481
Linear subspaces | Vectors and spaces | Linear Algebra | Khan Academy23:29475,365
Span and linear independence example | Vectors and spaces | Linear Algebra | Khan Academy16:53287,025
More on linear independence | Vectors and spaces | Linear Algebra | Khan Academy17:38217,297
Introduction to linear independence | Vectors and spaces | Linear Algebra | Khan Academy15:46372,434
Linear combinations and span | Vectors and spaces | Linear Algebra | Khan Academy20:35486,544
Parametric representations of lines | Vectors and spaces | Linear Algebra | Khan Academy24:47294,602
Vector examples | Vectors and spaces | Linear Algebra | Khan Academy25:34417,647
Using the convolution theorem to solve an initial value prob | Laplace transform | Khan Academy12:14104,419
The convolution and the laplace transform | Laplace transform | Khan Academy13:46155,837
Introduction to the convolution | Laplace transform | Differential Equations | Khan Academy18:59280,663
Trigonometry identity review/fun | Trig identities and examples | Trigonometry | Khan Academy11:70242,6571 list
Laplace transform of the dirac delta function | Laplace transform | Khan Academy12:13115,702
Dirac delta function | Laplace transform | Differential Equations | Khan Academy17:48194,648
Laplace/step function differential equation | Laplace transform | Khan Academy19:12148,415
Inverse Laplace examples | Laplace transform | Differential Equations | Khan Academy19:15189,216
Laplace transform of the unit step function | Laplace transform | Khan Academy24:16311,449
Laplace transform of t^n: L{t^n} | Laplace transform | Differential Equations | Khan Academy10:1697,705
Laplace transform of t: L{t} | Laplace transform | Differential Equations | Khan Academy9:70113,753
Using the Laplace transform to solve a nonhomogeneous eq | Laplace transform | Khan Academy18:48145,065
Viruses23:17409,105
Proofs of derivatives of ln(x) and e^x | Taking derivatives | Differential Calculus | Khan Academy12:27191,843
Bacteria18:27491,737
Derivative of x^(x^x) | Taking derivatives | Differential Calculus | Khan Academy9:20232,907
Multiplying multiple digit numbers | Multiplication and division | Arithmetic | Khan Academy10:27570,711
2-digit times a 2-digit number | Multiplication and division | Arithmetic | Khan Academy11:15568,069
Inverse trig functions: arccos | Trigonometry | Khan Academy13:38208,5981 list
Inverse trig functions: arctan | Trigonometry | Khan Academy10:70246,0751 list
Inverse trig functions: arcsin | Trigonometry | Khan Academy10:36551,7391 list
Sex-Linked Traits14:19398,399
Hardy-Weinberg Principle14:57380,555
Punnett Square Fun25:16526,049
Introduction to Heredity17:27680,561
Embryonic Stem Cells19:55263,054
Cancer12:36423,512
A look at a seductive but wrong Gibbs/Spontaneity Proof6:4127,939
More rigorous Gibbs Free Energy/ Spontaneity Relationship13:5661,156
Gibbs Free Energy Example9:57143,834
Gibbs Free Energy and Spontaneity17:40260,798
Hess's Law and Reaction Enthalpy Change15:40355,809
Heat of Formation12:35215,308
Thermodynamic Entropy Definition Clarification15:38244,179
Enthalpy15:70623,091
Phases of Meiosis27:231,029,157
Phases of Mitosis20:421,033,200
Evolution Clarification9:10313,993
Mitosis, Meiosis and Sexual Reproduction18:24836,523
Chromosomes, Chromatids, Chromatin, etc.18:23799,636
Variation in a Species19:52326,933
DNA28:601,322,280
Natural Selection and the Owl Butterfly13:29280,305
Intelligent Design and Evolution11:36526,102
Introduction to Evolution and Natural Selection17:391,414,820
Carnot Efficiency 3: Proving that it is the most efficient12:1734,467
Carnot Efficiency 2: Reversing the Cycle14:1038,596
Efficiency of a Carnot Engine14:4081,154
Multiplication 3: 10,11,12 times tables | Multiplication and division | Arithmetic | Khan Academy12:11411,679
More on Entropy8:5667,301
Maxwell's Demon13:27108,403
Multiplication 2: The multiplication tables | Arithmetic | Khan Academy15:27949,614
Entropy Intuition19:15213,476
Reconciling Thermodynamic and State Definitions of Entropy28:2685,022
Proof: S (or Entropy) is a valid state variable15:3882,804
Proof: Volume Ratios in a Carnot Cycle17:8055,868
Carnot Cycle and Carnot Engine20:53254,705
Work Done by Isothermic Process19:30153,935
Proof: U=(3/2)PV or U=(3/2)nRT16:5681,227
PV-diagrams and Expansion Work15:24159,658
Work from Expansion12:43140,353
More on Internal Energy13:45178,622
First Law of Thermodynamics/ Internal Energy17:40692,250
Quasistatic and Reversible Processes14:37102,375
Macrostates and Microstates18:30122,268
More exponential decay examples | Nuclear chemistry | Chemistry | Khan Academy7:2253,974
Introduction to exponential decay | Nuclear chemistry | Chemistry | Khan Academy9:19115,790
Exponential decay formula proof (can skip, involves calculus) | Chemistry | Khan Academy12:2288,325



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