Topics typically covered in Math 1210, A Survey of
Precalculus Review. The Cartesian Coordinate System. Straight Lines.
2. FUNCTIONS, LIMITS, AND THE DERIVATIVE.
Functions and Their Graphs. The Algebra of Functions. Functions and
Mathematical Models. Limits. One-Sided Limits and Continuity. The
Basic Rules of Differentiation. The Product and Quotient Rules. The
Chain Rule. Higher-Order Derivatives. Implicit Differentiation and
4. APPLICATIONS OF THE DERIVATIVE.
Applications of the First Derivative. Applications of the Second
Derivative. Curve Sketching. Optimization I. Optimization II.
5. EXPONENTIAL AND LOGARITHMIC FUNCTIONS.
Exponential Functions. Logarithmic Functions. Differentiation
of Exponential Functions. Differentiation of Logarithmic Functions.
Exponential Functions as Mathematical Models.
Antiderivatives and the Rules of Integration. Integration by
Substitution. Area and the Definite Integral. The Fundamental
Theorem of Calculus. Evaluating Definite Integrals.