Jonathan Ben-Artzi

Topics will include:

1. Integration
   
   
   • Antiderivatives.
   • Riemann sums.
   • The definite integral.
   • The Fundamental Theorem of Calculus.
   • Methods of integration: integration by substitution.



2. Exponentials and logarithms
   
   
   • Define exponentials and logarithms
   • Graphing.
   • Derivatives and integrals.
   
   
   
3. Trigonometry
   
   
   • Define the trigonometric and inverse trigonometric functions.
   • Graphing.
   • Trigonometric identities.
   • Trigonometric equations.
   • Derivatives and integrals.
   
   
   
4. Additional topics (as much as time allows)
   
   
   • Implicit differentiation.
   • Conic sections.
   • Parametric equations.
   • Polar coordinates.
   • Law of Sines and Law of Cosines.
   • Two dimensional calculus: vectors, dot products, complex numbers.