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
    
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