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  1. 1 6:44 Introduction to Mathematics Professor Dave Explains · 1.6M views
  2. 2 8:39 Addition and Subtraction of Small Numbers Professor Dave Explains · 622.5K views
  3. 3 6:20 Multiplication and Division of Small Numbers Professor Dave Explains · 421.2K views
  4. 4 6:13 Understanding Fractions, Improper Fractions, and Mixed Numbers Professor Dave Explains · 497.5K views
  5. 5 4:29 Large Whole Numbers: Place Values and Estimating Professor Dave Explains · 253.4K views
  6. 6 4:21 Decimals: Notation and Operations Professor Dave Explains · 234.4K views
  7. 7 3:36 Working With Percentages Professor Dave Explains · 267K views
  8. 8 5:21 Converting Between Fractions, Decimals, and Percentages Professor Dave Explains · 1.8M views
  9. 9 5:57 Addition and Subtraction of Large Numbers Professor Dave Explains · 362K views
  10. 10 3:19 The Distributive Property for Arithmetic Professor Dave Explains · 182.8K views
  11. 11 6:28 Multiplication of Large Numbers Professor Dave Explains · 228.5K views
  12. 12 5:41 Division of Large Numbers: Long Division Professor Dave Explains · 843.3K views
  13. 13 5:27 Negative Numbers Professor Dave Explains · 158.9K views
  14. 14 8:42 Understanding Exponents and Their Operations Professor Dave Explains · 172.2K views
  15. 15 4:22 Order of Arithmetic Operations: PEMDAS Professor Dave Explains · 209K views
  16. 16 5:54 Divisibility, Prime Numbers, and Prime Factorization Professor Dave Explains · 179.6K views
  17. 17 5:40 Least Common Multiple (LCM) Professor Dave Explains · 267.2K views
  18. 18 4:46 Greatest Common Factor (GCF) Professor Dave Explains · 254K views
  19. 19 4:07 Addition and Subtraction of Fractions Professor Dave Explains · 231.6K views
  20. 20 5:06 Multiplication and Division of Fractions Professor Dave Explains · 149.2K views
  21. 21 5:46 Analyzing Sets of Data: Range, Mean, Median, and Mode Professor Dave Explains · 116.2K views
  22. 22 4:04 Introduction to Algebra: Using Variables Professor Dave Explains · 390.1K views
  23. 23 5:16 Basic Number Properties for Algebra Professor Dave Explains · 430.3K views
  24. 24 4:52 Algebraic Equations and Their Solutions Professor Dave Explains · 170K views
  25. 25 6:46 Algebraic Equations With Variables on Both Sides Professor Dave Explains · 180.7K views
  26. 26 5:38 Algebraic Word Problems Professor Dave Explains · 301.6K views
  27. 27 5:43 Solving Algebraic Inequalities Professor Dave Explains · 249.5K views
  28. 28 9:02 Square Roots, Cube Roots, and Other Roots Professor Dave Explains · 187.7K views
  29. 29 8:23 Simplifying Expressions With Roots and Exponents Professor Dave Explains · 162.5K views
  30. 30 5:46 Solving Algebraic Equations With Roots and Exponents Professor Dave Explains · 125K views
  31. 31 5:13 Introduction to Polynomials Professor Dave Explains · 369.9K views
  32. 32 5:32 Adding and Subtracting Polynomials Professor Dave Explains · 219K views
  33. 33 6:25 Multiplying Binomials by the FOIL Method Professor Dave Explains · 290.5K views
  34. 34 9:37 Solving Quadratics by Factoring Professor Dave Explains · 159.3K views
  35. 35 7:32 Solving Quadratics by Completing the Square Professor Dave Explains · 146.7K views
  36. 36 6:55 Solving Quadratics by Using the Quadratic Formula Professor Dave Explains · 106.3K views
  37. 37 9:22 Solving Higher-Degree Polynomials by Synthetic Division and the Rational Roots Test Professor Dave Explains · 947.8K views
  38. 38 9:30 Manipulating Rational Expressions: Simplification and Operations Professor Dave Explains · 100.6K views
  39. 39 6:56 Graphing in Algebra: Ordered Pairs and the Coordinate Plane Professor Dave Explains · 362.3K views
  40. 40 6:52 Graphing Lines in Algebra: Understanding Slopes and Y-Intercepts Professor Dave Explains · 951K views
  41. 41 5:06 Graphing Lines in Slope-Intercept Form (y = mx + b) Professor Dave Explains · 120.2K views
  42. 42 5:33 Graphing Lines in Standard Form (ax + by = c) Professor Dave Explains · 268.8K views
  43. 43 4:47 Graphing Parallel and Perpendicular Lines Professor Dave Explains · 327.4K views
  44. 44 10:21 Solving Systems of Two Equations and Two Unknowns: Graphing, Substitution, and Elimination Professor Dave Explains · 258.5K views
  45. 45 5:10 Absolute Values: Defining, Calculating, and Graphing Professor Dave Explains · 72K views
  46. 46 9:00 What are the Types of Numbers? Real vs. Imaginary, Rational vs. Irrational Professor Dave Explains · 861K views
  47. 47 4:00 Introduction to Geometry: Ancient Greece and the Pythagoreans Professor Dave Explains · 135.5K views
  48. 48 4:19 Basic Euclidean Geometry: Points, Lines, and Planes Professor Dave Explains · 135.1K views
  49. 49 7:24 Types of Angles and Angle Relationships Professor Dave Explains · 526.7K views
  50. 50 5:25 Types of Triangles in Euclidean Geometry Professor Dave Explains · 95.1K views
  51. 51 5:08 Proving Triangle Congruence and Similarity Professor Dave Explains · 87.4K views
  52. 52 6:20 Special Lines in Triangles: Bisectors, Medians, and Altitudes Professor Dave Explains · 96.5K views
  53. 53 3:08 The Triangle Midsegment Theorem Professor Dave Explains · 151.1K views
  54. 54 5:02 The Pythagorean Theorem Professor Dave Explains · 66.5K views
  55. 55 6:17 Types of Quadrilaterals and Other Polygons Professor Dave Explains · 306.1K views
  56. 56 5:08 Calculating the Perimeter of Polygons Professor Dave Explains · 71.3K views
  57. 57 4:58 Circles: Radius, Diameter, Chords, Circumference, and Sectors Professor Dave Explains · 82.1K views
  58. 58 6:39 Calculating the Area of Shapes Professor Dave Explains · 299.7K views
  59. 59 3:34 Proving the Pythagorean Theorem Professor Dave Explains · 122K views
  60. 60 7:32 Three-Dimensional Shapes Part 1: Types, Calculating Surface Area Professor Dave Explains · 54.9K views
  61. 61 6:17 Three-Dimensional Shapes Part 2: Calculating Volume Professor Dave Explains · 110.7K views
  62. 62 7:23 Back to Algebra: What are Functions? Professor Dave Explains · 103K views
  63. 63 5:29 Manipulating Functions Algebraically and Evaluating Composite Functions Professor Dave Explains · 86.5K views
  64. 64 5:54 Graphing Algebraic Functions: Domain and Range, Maxima and Minima Professor Dave Explains · 108.2K views
  65. 65 7:52 Transforming Algebraic Functions: Shifting, Stretching, and Reflecting Professor Dave Explains · 480.2K views
  66. 66 5:18 Continuous, Discontinuous, and Piecewise Functions Professor Dave Explains · 279.4K views
  67. 67 6:29 Inverse Functions Professor Dave Explains · 163.6K views
  68. 68 3:38 The Distance Formula: Finding the Distance Between Two Points Professor Dave Explains · 136.9K views
  69. 69 7:46 Graphing Conic Sections Part 1: Circles Professor Dave Explains · 223K views
  70. 70 6:33 Graphing Conic Sections Part 2: Ellipses Professor Dave Explains · 230.9K views
  71. 71 8:30 Graphing Conic Sections Part 3: Parabolas in Standard Form Professor Dave Explains · 123K views
  72. 72 5:58 Graphing Conic Sections Part 4: Hyperbolas Professor Dave Explains · 182K views
  73. 73 9:15 Graphing Higher-Degree Polynomials: The Leading Coefficient Test and Finding Zeros Professor Dave Explains · 432.6K views
  74. 74 7:24 Graphing Rational Functions and Their Asymptotes Professor Dave Explains · 921.1K views
  75. 75 7:34 Solving and Graphing Polynomial and Rational Inequalities Professor Dave Explains · 64.6K views
  76. 76 5:59 Evaluating and Graphing Exponential Functions Professor Dave Explains · 300.8K views
  77. 77 8:10 Logarithms Part 1: Evaluation of Logs and Graphing Logarithmic Functions Professor Dave Explains · 171.9K views
  78. 78 6:26 Logarithms Part 2: Base Ten Logs, Natural Logs, and the Change-Of-Base Property Professor Dave Explains · 71.3K views
  79. 79 7:06 Logarithms Part 3: Properties of Logs, Expanding Logarithmic Expressions Professor Dave Explains · 144.9K views
  80. 80 7:08 Solving Exponential and Logarithmic Equations Professor Dave Explains · 573.4K views
  81. 81 8:35 Complex Numbers: Operations, Complex Conjugates, and the Linear Factorization Theorem Professor Dave Explains · 420.3K views
  82. 82 6:22 Set Theory: Types of Sets, Unions and Intersections Professor Dave Explains · 88.4K views
  83. 83 11:12 Sequences, Factorials, and Summation Notation Professor Dave Explains · 187.9K views
  84. 84 15:52 Theoretical Probability, Permutations and Combinations Professor Dave Explains · 164K views
  85. 85 6:27 Introduction to Trigonometry: Angles and Radians Professor Dave Explains · 316.5K views
  86. 86 7:18 Trigonometric Functions: Sine, Cosine, Tangent, Cosecant, Secant, and Cotangent Professor Dave Explains · 617.9K views
  87. 87 9:48 The Easiest Way to Memorize the Trigonometric Unit Circle Professor Dave Explains · 619.6K views
  88. 88 5:25 Basic Trigonometric Identities: Pythagorean Identities and Cofunction Identities Professor Dave Explains · 183.2K views
  89. 89 11:40 Graphing Trigonometric Functions Professor Dave Explains · 358.1K views
  90. 90 6:54 Inverse Trigonometric Functions Professor Dave Explains · 559.1K views
  91. 91 9:14 Verifying Trigonometric Identities Professor Dave Explains · 429K views
  92. 92 9:29 Formulas for Trigonometric Functions: Sum/Difference, Double/Half-Angle, Prod-to-Sum/Sum-to-Prod Professor Dave Explains · 139.9K views
  93. 93 8:28 Solving Trigonometric Equations Professor Dave Explains · 79.7K views
  94. 94 5:14 The Law of Sines Professor Dave Explains · 201.7K views
  95. 95 4:38 The Law of Cosines Professor Dave Explains · 264K views
  96. 96 10:46 Polar Coordinates and Graphing Polar Equations Professor Dave Explains · 440.3K views
  97. 97 4:36 Parametric Equations Professor Dave Explains · 305.2K views
  98. 98 8:40 Introduction to Calculus: The Greeks, Newton, and Leibniz Professor Dave Explains · 1.3M views
  99. 99 5:29 Understanding Differentiation Part 1: The Slope of a Tangent Line Professor Dave Explains · 332.6K views
  100. 100 5:31 Understanding Differentiation Part 2: Rates of Change Professor Dave Explains · 200K views
  101. 101 12:49 Limits and Limit Laws in Calculus Professor Dave Explains · 417.8K views
  102. 102 10:05 What is a Derivative? Deriving the Power Rule Professor Dave Explains · 251.8K views
  103. 103 11:53 Derivatives of Polynomial Functions: Power Rule, Product Rule, and Quotient Rule Professor Dave Explains · 165.5K views
  104. 104 7:57 Derivatives of Trigonometric Functions Professor Dave Explains · 187.3K views
  105. 105 12:29 Derivatives of Composite Functions: The Chain Rule Professor Dave Explains · 214.9K views
  106. 106 8:41 Derivatives of Logarithmic and Exponential Functions Professor Dave Explains · 279K views
  107. 107 11:45 Implicit Differentiation Professor Dave Explains · 1.5M views
  108. 108 7:29 Higher Derivatives and Their Applications Professor Dave Explains · 116.9K views
  109. 109 8:53 Related Rates in Calculus Professor Dave Explains · 868.7K views
  110. 110 6:17 Finding Local Maxima and Minima by Differentiation Professor Dave Explains · 1.1M views
  111. 111 13:06 Graphing Functions and Their Derivatives Professor Dave Explains · 184.2K views
  112. 112 10:55 Optimization Problems in Calculus Professor Dave Explains · 306.9K views
  113. 113 9:12 Understanding Limits and L’Hospital’s Rule Professor Dave Explains · 415.7K views
  114. 114 8:18 What is Integration? Finding the Area Under a Curve Professor Dave Explains · 523.9K views
  115. 115 9:38 The Fundamental Theorem of Calculus: Redefining Integration Professor Dave Explains · 282.3K views
  116. 116 9:48 Properties of Integrals and Evaluating Definite Integrals Professor Dave Explains · 270.8K views
  117. 117 10:44 Evaluating Indefinite Integrals Professor Dave Explains · 173.9K views
  118. 118 7:32 Evaluating Integrals With Trigonometric Functions Professor Dave Explains · 331.3K views
  119. 119 10:40 Integration Using The Substitution Rule Professor Dave Explains · 778.3K views
  120. 120 13:17 Integration By Parts Professor Dave Explains · 405.1K views
  121. 121 15:55 Integration By Trigonometric Substitution Professor Dave Explains · 531.8K views
  122. 122 16:13 Advanced Strategy for Integration in Calculus Professor Dave Explains · 157.2K views
  123. 123 12:24 Evaluating Improper Integrals Professor Dave Explains · 280.5K views
  124. 124 7:52 Finding the Area Between Two Curves by Integration Professor Dave Explains · 841.8K views
  125. 125 11:20 Calculating the Volume of a Solid of Revolution by Integration Professor Dave Explains · 1.1M views
  126. 126 7:40 Calculating Volume by Cylindrical Shells Professor Dave Explains · 373.1K views
  127. 127 7:24 The Mean Value Theorem For Integrals: Average Value of a Function Professor Dave Explains · 157.9K views
  128. 128 9:40 Convergence and Divergence: The Return of Sequences and Series Professor Dave Explains · 426.7K views
  129. 129 9:56 Estimating Sums Using the Integral Test and Comparison Test Professor Dave Explains · 90.3K views
  130. 130 12:08 Alternating Series, Types of Convergence, and the Ratio Test Professor Dave Explains · 133.6K views
  131. 131 6:48 Power Series Professor Dave Explains · 427.8K views
  132. 132 9:34 Taylor and Maclaurin Series Professor Dave Explains · 948.7K views
  133. 133 7:34 Hyperbolic Functions: Definitions, Identities, Derivatives, and Inverses Professor Dave Explains · 475.1K views
  134. 134 6:41 Three-Dimensional Coordinates and the Right-Hand Rule Professor Dave Explains · 165.6K views
  135. 135 10:17 Introduction to Vectors and Their Operations Professor Dave Explains · 504.9K views
  136. 136 6:59 The Vector Dot Product Professor Dave Explains · 1.2M views
  137. 137 10:46 Introduction to Linear Algebra: Systems of Linear Equations Professor Dave Explains · 617K views
  138. 138 5:26 Understanding Matrices and Matrix Notation Professor Dave Explains · 330K views
  139. 139 10:36 Manipulating Matrices: Elementary Row Operations and Gauss-Jordan Elimination Professor Dave Explains · 333K views
  140. 140 6:46 Types of Matrices and Matrix Addition Professor Dave Explains · 142.6K views
  141. 141 6:22 Matrix Multiplication and Associated Properties Professor Dave Explains · 229.7K views
  142. 142 7:09 Evaluating the Determinant of a Matrix Professor Dave Explains · 320.7K views
  143. 143 6:46 The Vector Cross Product Professor Dave Explains · 1.3M views
  144. 144 12:00 Inverse Matrices and Their Properties Professor Dave Explains · 898.9K views
  145. 145 7:43 Solving Systems Using Cramer’s Rule Professor Dave Explains · 480.1K views
  146. 146 8:41 Understanding Vector Spaces Professor Dave Explains · 1M views
  147. 147 5:50 Subspaces and Span Professor Dave Explains · 609K views
  148. 148 12:56 Linear Independence Professor Dave Explains · 938.5K views
  149. 149 10:06 Basis and Dimension Professor Dave Explains · 823.9K views
  150. 150 9:34 Change of Basis Professor Dave Explains · 382.1K views
  151. 151 9:11 Linear Transformations on Vector Spaces Professor Dave Explains · 398.3K views
  152. 152 5:35 Image and Kernel Professor Dave Explains · 290.3K views
  153. 153 11:48 Orthogonality and Orthonormality Professor Dave Explains · 323.6K views
  154. 154 10:07 The Gram-Schmidt Process Professor Dave Explains · 534.5K views
  155. 155 17:10 Finding Eigenvalues and Eigenvectors Professor Dave Explains · 1.4M views
  156. 156 8:43 Diagonalization Professor Dave Explains · 814.9K views
  157. 157 9:00 Complex, Hermitian, and Unitary Matrices Professor Dave Explains · 265.5K views
  158. 158 10:10 Further Matrix Decompositions: LU, Cholesky, QR, and SVD Professor Dave Explains · 71.1K views
  159. 159 15:29 Double and Triple Integrals Professor Dave Explains · 801.7K views
  160. 160 10:57 Partial Derivatives and the Gradient of a Function Professor Dave Explains · 328.9K views
  161. 161 15:36 Vector Fields, Divergence, and Curl Professor Dave Explains · 317.7K views
  162. 162 12:54 Evaluating Line Integrals Professor Dave Explains · 426.7K views
  163. 163 6:37 Green’s Theorem Professor Dave Explains · 575.7K views
  164. 164 12:24 Evaluating Surface Integrals Professor Dave Explains · 514.6K views
  165. 165 8:11 Stokes’s Theorem Professor Dave Explains · 563.9K views
  166. 166 6:31 The Divergence Theorem Professor Dave Explains · 369.9K views
  167. 167 4:34 Introduction to Differential Equations Professor Dave Explains · 209.9K views
  168. 168 7:33 Classification of Differential Equations Professor Dave Explains · 112K views
  169. 169 7:05 Separable First-Order Differential Equations Professor Dave Explains · 77K views
  170. 170 4:46 Linear First-Order Differential Equations Professor Dave Explains · 127.2K views
  171. 171 8:45 Exact First-Order Differential Equations Professor Dave Explains · 49.3K views
  172. 172 10:20 Homogeneous Differential Equations and Bernoulli Differential Equations Professor Dave Explains · 56.9K views
  173. 173 10:20 Linear Second-Order Differential Equations Part 1: Homogeneous Case Professor Dave Explains · 65.7K views
  174. 174 10:18 Linear Second-Order Differential Equations Part 2: Non-Homogeneous Differential Equations Professor Dave Explains · 32.4K views
  175. 175 9:37 Special Second-Order Differential Equations: Cauchy-Euler, Nonlinear, and More Professor Dave Explains · 16.7K views
  176. 176 8:30 Numerical Methods for Solving Differential Equations Professor Dave Explains · 20.6K views
  177. 177 10:33 Power Series Solutions Part 1: Leibniz Method Professor Dave Explains · 16.1K views
  178. 178 9:24 Power Series Solutions Part 2: Frobenius Method Professor Dave Explains · 28.8K views
  179. 179 7:50 Systems of Differential Equations Part 1: Modeling and Elimination Professor Dave Explains · 13.5K views
  180. 180 11:50 Systems of Differential Equations Part 2: Matrices and Stability Professor Dave Explains · 14.4K views
  181. 181 7:58 Laplace Transforms Part 1: Solving Differential Equations Professor Dave Explains · 36.2K views
  182. 182 14:59 Laplace Transforms Part 2: Convolutions and LTI Systems Professor Dave Explains · 13.5K views
  183. 183 10:34 Difference Equations and Z-Transforms Professor Dave Explains · 12.3K views
  184. 184 10:56 Introduction to Partial Differential Equations: Classification and Differential Operators Professor Dave Explains · 15.5K views
  185. 185 8:14 Quasi-Linear First-Order Partial Differential Equations: Lagrange’s Method Professor Dave Explains · 16.6K views
  186. 186 11:04 Laplace’s Equation: Separation of Variables Professor Dave Explains · 14.6K views
  187. 187 11:02 Fourier Series and Transforms Part 1: Concepts in Frequency Analysis Professor Dave Explains · 16.8K views
  188. 188 6:38 Fourier Series and Transforms Part 2: Power Spectra and K-Space Professor Dave Explains · 10.5K views
  189. 189 10:15 The Wave Equation Part 1: Vibrations in 1D Professor Dave Explains · 12.7K views
  190. 190 8:20 The Wave Equation Part 2: Multidimensional Waves and Dispersion Professor Dave Explains · 13.3K views
  191. 191 6:52 The Diffusion Equation Part 1: Separation of Variables Professor Dave Explains · 11.7K views
  192. 192 10:59 The Diffusion Equation Part 2: Dimensional Analysis and Self-Similarity Professor Dave Explains · 8K views
  193. 193 8:42 The Diffusion Equation Part 3: Green’s Functions Professor Dave Explains · 19.2K views