### 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