MATH 110 COURSE DESCRIPTION: (GQ) Techniques of Calculus I (4:4:0) Functions, graphs, derivatives, integrals, techniques of differentiation and integration, exponentials, improper integrals, applications. Students may take only one course for credit from Math 110 GQ, 140 GQ, and 140A GQ, 140B, and 140L. Prerequisites: Math 022 or satisfactory performance on the mathematics proficiency examination. TOPICS EQUATIONS AND INEQUALITIES Linear Equations and Inequalities in One Variable Quadratic Equations GRAPHS AND FUNCTIONS Cartesian Coordinate System and Straight Lines Functions Linear and Quadratic Functions EXPONENTIAL AND LOGARITHMIC FUNCTIONS Exponential Functions The Exponential Functions with Base e Logarithmic Functions THE DERIVATIVE Limits and Continuity - A Geometric Introduction Computation of Limits The Derivative Derivatives of Constants, Power Forms and Sums Derivatives of Products and Quotients Chain Rule: Power Form Marginal Analysis in Business and Economics GRAPHING AND OPTIMIZATION First Derivative and Graphs Second Derivative and Graphs Curve Sketching Techniques Optimization; Absolute Maxima and Minima Increments and Differentials DERIVATIVE TOPICS The Constant e and Continuous Compound Interest Derivatives of Logarithmic and Exponential Functions Chain Rule: General Form Implicit Differentiation Related Rates INTEGRATION Antiderivatives and Indefinite Integrals Integration by Substitution Differential Equations - Growth and Decay Area Under a Curve The Definite Integral The Fundamental Theorem of Calculus INTEGRATION TOPICS Area Between Curves Integration by Parts Integration Using Tables Improper Integrals 8/13/92