Thursday, April 14, 2011

Education VDO - Arithmetic, Banking, Calculus

Arithmetic

The most basic of the math playlists. Start here if you have very little background in math fundamentals (or just want to make sure you do). After watching this playlist, you should be ready for the pre-algebra playlist.

  1. Basic Addition
  2. Addition 2
  3. Level 2 Addition
  4. Addition 3
  5. Addition 4
  6. Basic Subtraction
  7. Subtraction 2
  8. Subtraction 3: Introduction to Borrowing or Regrouping
  9. Alternate mental subtraction method
  10. Level 4 Subtraction
  11. Why borrowing works
  12. Adding Decimals
  13. Subtracting decimals
  14. Basic Multiplication
  15. Multiplication 2: The Multiplication Tables
  16. Multiplication 3: 10,11,12 times tables
  17. Multiplication 4: 2-digit times 1-digit number
  18. Multiplication 5: 2-digit times a 2-digit number
  19. Multiplication 6: Multiple Digit Numbers
  20. Multiplication 7: Old video giving more examples
  21. Mulitplication 8: Multiplying decimals (Old video)
  22. Lattice Multiplication
  23. Why Lattice Multiplication Works
  24. Division 1
  25. Division 2
  26. Division 3: More long division and remainder examples
  27. Level 4 division
  28. Converting fractions to decimals
  29. Percent and decimals
  30. Dividing decimal
  31. Ordering numeric expressions
  32. Greatest Common Divisor
  33. Least Common Multiple
  34. Equivalent fractions
  35. Mixed numbers and improper fractions

Banking and Money

Videos on how banks work and how money is created.

  1. Banking 1
  2. Banking 2: A bank's income statement
  3. Banking 3: Fractional Reserve Banking
  4. Banking 4: Multiplier effect and the money supply
  5. Banking 5: Introduction to Bank Notes
  6. Banking 6: Bank Notes and Checks
  7. Banking 7: Giving out loans without giving out gold
  8. Banking 8: Reserve Ratios
  9. Banking 9: More on Reserve Ratios (Bad sound)
  10. Banking 10: Introduction to leverage (bad sound)
  11. Banking 11: A reserve bank
  12. Banking 12: Treasuries (government debt)
  13. Banking 13: Open Market Operations
  14. Banking 14: Fed Funds Rate
  15. Banking 15: More on the Fed Funds Rate
  16. Banking 16: Why target rates vs. money supply
  17. Banking 17: What happened to the gold?
  18. Banking 18: Big Picture Discussion
  19. The Discount Rate
  20. Repurchase Agreements (Repo transactions)
  21. Federal Reserve Balance Sheet
  22. Fractional Reserve Banking Commentary 1
  23. FRB Commentary 2: Deposit Insurance
  24. FRB Commentary 3: Big Picture
  25. LIBOR

Biology

Covers topics seen in a first year college or high school biology course.

  1. Introduction to Evolution and Natural Selection
  2. Ape Clarification
  3. Intelligent Design and Evolution
  4. Evolution Clarification
  5. Natural Selection and the Owl Butterfly
  6. DNA
  7. Variation in a Species
  8. Chromosomes, Chromatids, Chromatin, etc.
  9. Mitosis, Meiosis and Sexual Reproduction
  10. Phases of Mitosis
  11. Phases of Meiosis
  12. Embryonic Stem Cells
  13. Cancer
  14. Introduction to Heredity
  15. Punnett Square Fun
  16. Hardy-Weinberg Principle
  17. Sex-Linked Traits
  18. Bacteria
  19. Viruses
  20. ATP: Adenosine Triphosphate
  21. Introduction to Cellular Respiration
  22. Oxidation and Reduction Review From Biological Point-of-View
  23. Oxidation and Reduction in Cellular Respiration
  24. Glycolysis
  25. Krebs / Citric Acid Cycle
  26. Electron Transport Chain
  27. Oxidative Phosphorylation and Chemiosmosis
  28. Photosynthesis
  29. Photosynthesis: Light Reactions 1
  30. Photosynthesis: Light Reactions and Photophosphorylation
  31. Photosynthesis: Calvin Cycle
  32. Photorespiration
  33. C-4 Photosynthesis
  34. CAM Plants
  35. Parts of a cell
  36. Diffusion and Osmosis
  37. The Lungs and Pulmonary System
  38. Red blood cells
  39. Circulatory System and the Heart
  40. Hemoglobin
  41. Anatomy of a Neuron
  42. Sodium Potassium Pump
  43. Correction to Sodium and Potassium Pump Video
  44. Electrotonic and Action Potentials
  45. Saltatory Conduction in Neurons
  46. Neuronal Synapses (Chemical)
  47. Myosin and Actin
  48. Tropomyosin and troponin and their role in regulating muscle contraction
  49. Role of the Sarcoplasmic Reticulum in Muscle Cells
  50. Anatomy of a muscle cell
  51. Role of Phagocytes in Innate or Nonspecific Immunity
  52. Types of immune responses: Innate and Adaptive. Humoral vs. Cell-Mediated
  53. B Lymphocytes (B cells)
  54. Professional Antigen Presenting Cells (APC) and MHC II complexes
  55. Helper T Cells
  56. Cytotoxic T Cells
  57. Review of B cells, CD4+ T cells and CD8+ T cells
  58. Inflammatory Response
  59. The Kidney and Nephron
  60. Secondary Active Transport in the Nephron
  61. Glucose Insulin and Diabetes
  62. Blood Sugar Levels
  63. A1C Levels
  64. Heart Disease and Heart Attacks
  65. Thrombo-emboli and Thromboembolisms
  66. Stenosis, ischemia and heart failure
  67. Strokes

Brain Teasers

Random logic puzzles and brain teasers. Fun to do and useful for many job interviews!

  1. Liar Truthteller Brain Teaser
  2. Toggler Brain Teaser
  3. Alien Abduction Brain Teaser
  4. Brain Teaser: Blue Forehead Room
  5. Blue Forehead Room Solution
  6. Forehead Numbers Brain Teaser
  7. Light Bulb Switching Brain Teaser
  8. Path Counting Brain Teaser
  9. 3-D Path Counting Brain Teaser

CAHSEE Example Problems

Sal working through the 53 problems from the practice test available at http://www.cde.ca.gov/ta/tg/hs/documents/mathpractest.pdf for the CAHSEE (California High School Exit Examination). Clearly useful if you're looking to take that exam. Probably still useful if you want to make sure you have a solid understanding of basic high school math.

  1. CAHSEE Practice: Problems 1-3
  2. CAHSEE Practice: Problems 4-9
  3. CAHSEE Practice: Problems 10-12
  4. CAHSEE Practice: Problems 13-14
  5. CAHSEE Practice: Problems 15-16
  6. CAHSEE Practice: Problems 17-19
  7. CAHSEE Practice: Problems 20-22
  8. CAHSEE Practice: Problems 23-27
  9. CAHSEE Practice: Problems 28-31
  10. CAHSEE Practice: Problems 32-34
  11. CAHSEE Practice: Problems 35-37
  12. CAHSEE Practice: Problems 38-42
  13. CAHSEE Practice: Problems 43-46
  14. CAHSEE Practice: Problems 47-51
  15. CAHSEE Practice: Problems 52-53

Calculus

Topics covered in the first two or three semesters of college calculus. Everything from limits to derivatives to integrals to vector calculus. Should understand the topics in the pre-calculus playlist first (the limit videos are in both playlists)

  1. Introduction to Limits
  2. Limit Examples (part 1)
  3. Limit Examples (part 2)
  4. Limit Examples (part3)
  5. Limit Examples w/ brain malfunction on first prob (part 4)
  6. Squeeze Theorem
  7. Proof: lim (sin x)/x
  8. More Limits
  9. Epsilon Delta Limit Definition 1
  10. Epsilon Delta Limit Definition 2
  11. Calculus: Derivatives 1 (new HD version)
  12. Calculus: Derivatives 2 (new HD version)
  13. Calculus: Derivatives 2.5 (new HD version)
  14. Calculus: Derivatives 1
  15. Calculus: Derivatives 2
  16. Calculus: Derivatives 3
  17. The Chain Rule
  18. Chain Rule Examples
  19. Even More Chain Rule
  20. Product Rule
  21. Quotient Rule
  22. Derivatives (part 9)
  23. Proof: d/dx(x^n)
  24. Proof: d/dx(sqrt(x))
  25. Proof: d/dx(ln x) = 1/x
  26. Proof: d/dx(e^x) = e^x
  27. Proofs of Derivatives of Ln(x) and e^x
  28. Extreme Derivative Word Problem (advanced)
  29. Implicit Differentiation
  30. Implicit Differentiation (part 2)
  31. More implicit differentiation
  32. More chain rule and implicit differentiation intuition
  33. Trig Implicit Differentiation Example
  34. Calculus: Derivative of x^(x^x)
  35. Introduction to L'Hopital's Rule
  36. L'Hopital's Rule Example 1
  37. L'Hopital's Rule Example 2
  38. L'Hopital's Rule Example 3
  39. Maxima Minima Slope Intuition
  40. Inflection Points and Concavity Intuition
  41. Monotonicity Theorem
  42. Calculus: Maximum and minimum values on an interval
  43. Calculus: Graphing Using Derivatives
  44. Calculus Graphing with Derivatives Example
  45. Graphing with Calculus
  46. Optimization with Calculus 1
  47. Optimization with Calculus 2
  48. Optimization with Calculus 3
  49. Optimization Example 4
  50. Introduction to rate-of-change problems
  51. Equation of a tangent line
  52. Rates-of-change (part 2)
  53. Ladder rate-of-change problem
  54. Mean Value Theorem
  55. The Indefinite Integral or Anti-derivative
  56. Indefinite integrals (part II)
  57. Indefinite Integration (part III)
  58. Indefinite Integration (part IV)
  59. Indefinite Integration (part V)
  60. Integration by Parts (part 6 of Indefinite Integration)
  61. Indefinite Integration (part 7)
  62. Another u-subsitution example
  63. Introduction to definite integrals
  64. Definite integrals (part II)
  65. Definite Integrals (area under a curve) (part III)
  66. Definite Integrals (part 4)
  67. Definite Integrals (part 5)
  68. Definite integral with substitution
  69. Integrals: Trig Substitution 1
  70. Integrals: Trig Substitution 2
  71. Integrals: Trig Substitution 3 (long problem)
  72. Periodic Definite Integral
  73. Introduction to differential equations
  74. Solid of Revolution (part 1)
  75. Solid of Revolution (part 2)
  76. Solid of Revolution (part 3)
  77. Solid of Revolution (part 4)
  78. Solid of Revolution (part 5)
  79. Solid of Revolution (part 6)
  80. Solid of Revolution (part 7)
  81. Solid of Revolution (part 8)
  82. Sequences and Series (part 1)
  83. Sequences and series (part 2)
  84. Polynomial approximation of functions (part 1)
  85. Polynomial approximation of functions (part 2)
  86. Approximating functions with polynomials (part 3)
  87. Polynomial approximation of functions (part 4)
  88. Polynomial approximations of functions (part 5)
  89. Polynomial approximation of functions (part 6)
  90. Polynomial approximation of functions (part 7)
  91. Taylor Polynomials
  92. Exponential Growth
  93. AP Calculus BC Exams: 2008 1 a
  94. AP Calculus BC Exams: 2008 1 b&c
  95. AP Calculus BC Exams: 2008 1 c&d
  96. AP Calculus BC Exams: 2008 1 d
  97. Calculus BC 2008 2 a
  98. Calculus BC 2008 2 b &c
  99. Calculus BC 2008 2d
  100. Partial Derivatives
  101. Partial Derivatives 2
  102. Gradient 1
  103. Gradient of a scalar field
  104. Divergence 1
  105. Divergence 2
  106. Divergence 3
  107. Curl 1
  108. Curl 2
  109. Curl 3
  110. Double Integral 1
  111. Double Integrals 2
  112. Double Integrals 3
  113. Double Integrals 4
  114. Double Integrals 5
  115. Double Integrals 6
  116. Triple Integrals 1
  117. Triple Integrals 2
  118. Triple Integrals 3
  119. (2^ln x)/x Antiderivative Example
  120. Introduction to the Line Integral
  121. Line Integral Example 1
  122. Line Integral Example 2 (part 1)
  123. Line Integral Example 2 (part 2)
  124. Position Vector Valued Functions
  125. Derivative of a position vector valued function
  126. Differential of a vector valued function
  127. Vector valued function derivative example
  128. Line Integrals and Vector Fields
  129. Using a line integral to find the work done by a vector field example
  130. Parametrization of a Reverse Path
  131. Scalar Field Line Integral Independent of Path Direction
  132. Vector Field Line Integrals Dependent on Path Direction
  133. Path Independence for Line Integrals
  134. Closed Curve Line Integrals of Conservative Vector Fields
  135. Example of Closed Line Integral of Conservative Field
  136. Second Example of Line Integral of Conservative Vector Field
  137. Green's Theorem Proof Part 1
  138. Green's Theorem Proof (part 2)
  139. Green's Theorem Example 1
  140. Green's Theorem Example 2
  141. Introduction to Parametrizing a Surface with Two Parameters
  142. Determining a Position Vector-Valued Function for a Parametrization of Two Parameters
  143. Partial Derivatives of Vector-Valued Functions
  144. Introduction to the Surface Integral
  145. Example of calculating a surface integral part 1
  146. Example of calculating a surface integral part 2
  147. Example of calculating a surface integral part 3
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