TRIGONOMETRIC FUNCTIONS.

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 Series.

DIFFERENTIAL EQUATIONS.

Differential Equations. Separation of Variables. Applications of Separable Differential Equations. Approximate Solutions of Differential Equations (Euler's Method).