Math 111

Integral Calculus
Definition of Definite Integral and its Properties, The Anti-derivative, Indefinite
Integral and the Fundamental Theorem of Calculus. Change of Variables,
Integrals of natural and general exponential functions, Integrals of natural
and general Logarithmic functions, Derivatives and Integrals of Hyperbolic
and Inverse-Hyperbolic functions, Techniques of Integration: by parts,
Trigonometric substitutions, Completing the square, Integrals of rational
functions, Miscellaneous Substitutions, Indeterminate forms, Improper Integrals,
Applications of Integration: Area, Solids of Revolutions, Arc length and Surface
of Revolution, Linear Motion, Work, Momentum and Center of Mass, Numerical
Integration, Polar coordinates, relation between polar and Cartesian coordinates,
Graphs of polar curves, Area in Polar coordinates, Parametric Equations.