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Topics covered

Calculus I & II

Limits & Continuity

lim⁡x→a\lim_{x\to a}
  • One- and two-sided limits
  • Limits at infinity
  • Continuity & IVT
  • Squeeze theorem
  • Indeterminate forms

Derivatives

ddx\tfrac{d}{dx}
  • Power, product, quotient
  • Chain rule
  • Implicit differentiation
  • Related rates
  • Optimization
  • Mean Value Theorem

Integrals

∫\int
  • Antiderivatives
  • Fundamental Theorem
  • u-substitution
  • Integration by parts
  • Partial fractions
  • Improper integrals

Applications

Δ\Delta
  • Area between curves
  • Volumes of revolution
  • Arc length
  • Average value
  • Motion & accumulation

Series & Sequences

∑\sum
  • Convergence tests
  • Power series
  • Taylor & Maclaurin
  • Radius of convergence
  • Error estimation

Parametric & Polar

r(θ)r(\theta)
  • Parametric curves
  • Polar coordinates
  • Vector-valued functions
  • Arc length in polar

Coming soon

More subjects in the works

Linear Algebra

Ax⃗=b⃗A\vec{x} = \vec{b}

Vectors, matrices, eigenstuff

Calculus III

∇f\nabla f

Multivariable & vector calculus

Discrete Math

(nk)\binom{n}{k}

Proofs, combinatorics, graphs

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