Topics typically covered in Math 1220, A Survey of Calculus
Measurement of Angles. The Trigonometric Functions. Differentiation
of Trigonometric Functions. Integration of Trigonometric Functions
ADDITIONAL TOPICS IN INTEGRATION.
Area between Two Curves. Integration by Parts. Improper Integrals.
Volumes of Solids of Revolution.
CALCULUS OF SEVERAL VARIABLES.
Functions of Several Variables. Partial Derivatives. Maxima and
Minima of Functions of Several Variables. The Method of Least
Squares. Double Integrals. Applications of Double Integrals.
PROBABILITY AND CALCULUS.
Probability Distributions of Random Variables. Expected Value and
Standard Deviation. Normal Distributions.
TAYLOR POLYNOMIALS AND INFINITE SERIES.
Taylor Polynomials. Infinite Sequences. Infinite Series. Series with
Positive Terms. Power Series and Taylor Series. More on Taylor
Differential Equations. Separation of Variables. Applications of
Separable Differential Equations. Approximate Solutions of
Differential Equations (Euler's Method).