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Khan Academy Video Tutorials

Pre-Algebra 

Videos include:

  • Addition/subtraction and multiplication/division
  • Negative numbers and absolute values
  • Decimals (basic operations, rounding, percentages, significant figures, etc.)
  • Fractions (basic operations, equivalent fractions, mixed numbers, word problems, etc.)

Geometry 

Videos include:

  • Basic geometry (lines, angles, shapes, coordinate place, area, volume, etc.)
  • Geometry tools and properties

Trigonometry 

Videos include:

  • Trigonometry with right triangles (solving for a side/angle, special ratios, etc.)
  • Trigonometry with general triangles (law of sines, law of cosines)
  • Unit circle definitions of trig. functions (radians, graphs, trig. identities, etc.)
  • Graphs of trigonometric functions
  • Solving trigonometric equations

Beginning/Intermediate Algebra 

Videos include:

  • One-variable and two varialbe linear equations and inequalities
  • Units of measurement
  • Functions (evaluating functions, interpreting functions, domain, range, piecewise functions, interpreting graphs, rates of change, etc.)
  • Word problems
  • Systems of equations
  • Absolute value functions and inequalities
  • Expressions with rational ezponents and radicals
  • Introduction to exponential functions
  • Introduction to polynomials
  • Polynomial factorizations (including factoring techniques)
  • Quadratic equations (including factoring techniques)

College Algebra 

Videos include: 

  • Manipulating functions (composition, shifting, stretching, finding the inverse, etc.)
  • Introduction to complex numbers
  • Arithmetic with polynomial (addition/subtraction, multiplication, long/synthetic division)
  • Polynomial functions (factoring methods, finding zeros, end behaviors, graphs, symmetry)
  • Radical functions (solving, graphing, addition/subtraction, multiplications/division, etc.)
  • Exponential functions (equivalent forms, modeling growth and decay)
  • Logarithmic functions (properties of logs, change of base, solving, graphs)
  • Trigonometric functions

Pre-calculus 

Videos include: 

  • Trigonometric equations and identities
  • Conic sections (equations of circle, ellipse, parabola, hyperbola)
  • Matrices (row operations, multiplying matrices, determinants, inverses, etc.)
  • Imaginary and complex numbers
  • Parametric equations and polar coordinates
  • Probability and combinatorics
  • Sequences and series overview
  • Preview to calculus topics

Probability 

Videos include: 

  • Independent and dependent events (probability, Venn diagrams, basic set operations, etc.)
  • Probability and combinatorics (permutations, combinations)
  • Regression (scatter plots, linear regressions and correlations, residuals)
  • Introduction/overview to statistics topics

Calculus 

Videos include: 

  • Pre-calculus review
  • Differential calculus (limits, derivatives, applications)
  • Integral calculus (integrals, techniques, applications, sequences, series)
  • Multivariable calculus (topics and overview)

Differential Equations

Videos include: 

  • First order differential equations (separable equations, homogeneous equations, etc.)
  • Second order differential equations (linear homogeneous equations, method of undetermined coefficients)
  • Laplace transforms

Linear Algebra 

Videos include: 

  • Vectors and spaces (linear combinations and spans, linear dependence, subspaces, dot and cross products, null spaces, etc.)
  • Matrix transformations (linear transformations, inverse functions and transformations, determinants, transpose, etc.)
  • Alternate coordinate systems (orthogonal complements, orthogonal projections, change of basis, etc.)

Khan Academy Science & Economics Video Tutorials

Physics 

Videos include: 

  • One-dimensional motion and two-dimensional motion
  • Forces and Newton’s laws of motions
  • Centripetal force and gravitation
  • Work and Energy (springs, Hooke’s Law)
  • Impacts and linear momentum (elastic and inelastic collisions, center of mass)
  • Torque and angular momentum
  • Oscillations (simple harmonic motion)
  • Fluids (density and pressure, buoyancy ,etc.)
  • Thermodynamics (ideal gas law, specific heat, etc.)
  • Electric charge, field, and potential 
  • Circuits
  • Magnetic forces and fields

Chemistry 

Videos include: 

  • Chemical reactions and Stoichiometry 
  • Electronic structure of atoms
  • Chemical bonds
  • Gases and kinetic molecular theory
  • States of matter and intermolecular forces 
  • Chemical equilibrium
  • Acids and bases
  • Buffers, titrations, and solubility equilibria
  • Thermodynamics (internal energy, enthalpy, entropy)
  • Redox reactions and electrochemistry
  • Kinetics
  • Nuclear Chemistry (radioactive decay)

Organic Chemistry 

Videos include: 

  • Structure and bonding
  • Resonance and acid based chemistry 
  • Alkanes, cycloalkanes, and functional groups
  • Stereochemistry
  • Substitution and elimination reactions
  • Alkenes and alkynes
  • Alcohols, ethers, epoxides, sulfides
  • Conjugates systems and pericyclic reactions
  • Aromatic compounds
  • Aldehydes and ketones
  • Carboxlic acids and derivates
  • Alpha carbon chemistry
  • Amines

Biology

Videos include: 

  • Water, acids, and bases
  • Macromolecules
  • Energy and enzymes
  • Structure of a cell
  • Membranes and transport
  • Cellular respiration
  • Photosynthesis
  • Cell signaling and cell division
  • DNA
  • Central dogma (DNA to RNA to protein)
  • Gene regulation
  • Bacteria and archaea and viruses
  • Evolution
  • Ecology

Microeconomics 

Videos include: 

  • Supply, demand, and market equilibrium
  • Elasticity
  • Consumer producer surplus
  • Scarcity, possibilities, preferences, and opportunity cost
  • Production decision and economic profit

Macroeconomics 

Videos include: 

  • GPD
  • Inflation
  • Aggregate demand and supply
  • Income and expenditure