Calculus
A 24-module path through calculus, in study order from foundations to the frontier.
Modules
- Continuity
- Differentiability
- Derivatives of standard functions via chain rule
- Implicit and parametric differentiation
- Logarithmic differentiation and differentiation of one function w.r.t. another
- Second order derivatives
- Tangents and normals
- Rates of change
- Increasing and decreasing functions
- Maxima and minima
- Applied optimization
- Integration by substitution
- Integration by parts
- Integration by partial fractions
- Standard algebraic integrals
- Standard trigonometric integrals
- Fundamental theorem of calculus
- Properties of definite integrals
- Area under a curve
- Area between curves
- Order and degree
- Variable separable equations
- Homogeneous equations
- Linear differential equations