Note: Different sections of Math 10 and 10E may cover different topics selected from the following list, and not necessarily in the order given. Choose your topic and then select the resources you want.

Topic 1: Functions & Graphs Coordinates and Graphs, Functions and their Graphs, Linear Functions Linear Models, Quadratic Functions and Models, Solving Equations Using Graphing Calculators or Computers

Topic Summary: Click Here True-False Quiz: Click Here Topic Review Exercises: Click Here On-Line Tools & Mac Software: On-Line Graphing Utility (an advanced Java graphing utility with trace, zoom and many other features) On-Line Evaluation of Functions (Creates a table of values for any function you specify) On-Line Regression (equations of exact and best-fit lines, parabolas and cubics) Download Graphing Software

Topic 2: Exponential & Logarithmic Functions Exponential Functions and Applications , Continuous Growth and Decay and the Number e, Logarithmic Functions, Applications of Logarithms

Topic Summary: Click Here True-False Quiz: Click Here Topic Review Exercises: Click Here (has exercises on exponential and linear functions, but not logarithmic functions as yet) On-Line Tools & Mac Software: On-Line Graphing Utility (an advanced Java graphing utility with trace, zoom and many other features) On-Line Evaluation of Functions (Creates a table of values for any function you specify) On-Line Regression (equations of exact and best-fit exponential functions) Download Graphing Software

Topic 3: Introduction to the Derivative Rates of Change and the Derivative, Geometric Interpretation of the Derivative, Limits, Continuity, Differentiability, Derivatives of Powers and Polynomials, Marginal Analysis

Topic Summary: Click Here On-Line Tutorials: (with animated graphics!) Rates of Change and the Derivative Geometric Interpretation of the Derivative Limits and Continuity Derivatives of Powers and Polynomials True-False Quiz: Click Here Topic Review Exercises: Click Here (includes questions on Topic 4 below) On-Line Tools & Mac Software: On-Line Graphing Utility (an advanced Java graphing utility with trace, zoom and many other features) On-Line Evaluation of Functions (Use this to evaluate difference quotients) Download Graphing Software (Use the zoom feature to estimate derivatives)

Topic 4: Techniques of Differentiation The Product and Quotient Rule, The Chain Rule, Derivatives of Logarithmic and Exponential Functions, Implicit Differentiation, Linear Approximation and Error Estimation

Topic Summary: Click Here On-Line Tutorials: Product and Quotient Rules The Chain Rule Derivatives of Logarithmic and Exponential Functions (with tables you can print out!) True-False Quiz: Click Here Topic Review Exercises: Click Here

Topic 5: Applications of the Derivative Maxima and Minima Applications of Maxima and Minima, The Second Derivative: Acceleration and Concavity, Curve Sketching, Related Rates, Elasticity of Demand

Topic Summary: Click Here True-False Quiz: Click Here Topic Review Exercises: Click Here (Applied maxima & minima exercises) On-Line Tools & Mac Software: On-Line Graphing Utility (an advanced Java graphing utility with trace, zoom and many other features) On-Line Evaluation of Functions (Useful in curve sketching) Download Graphing Software

Topic 6: The Integral The Indefinite Integral, Substitution, Applications of the Indefinite Integral, Geometric Definition of the Definite Integral, Algebraic Definition of the Definite Integral, The Fundamental Theorem of Calculus, Numerical Integration

Topic Summary: Click Here On-Line Tutorials: The Indefinite Integral Substitution True-False Quiz: Click Here Topic Review Exercises: Click Here

Topic 7: Further Techniques and Applications of the Integral Integration by Parts, Integration Using Tables, Area Between Two Curves and Applications, Averages and Moving Averages, Improper Integrals and Applications

Topic Summary: Click Here True-False Quiz: Click Here

Topic 6: The Integral The Indefinite Integral, Substitution, Applications of the Indefinite Integral, Geometric Definition of the Definite Integral, Algebraic Definition of the Definite Integral, The Fundamental Theorem of Calculus, Numerical Integration

Topic Summary: Click Here On-Line Tutorials: The Indefinite Integral Substitution True-False Quiz: Click Here Topic Review Exercises: Click Here

Topic 8: Calculus Applied to Probability Continuous Random Variables and Histograms, Probability Density Functions: Uniform, Exponential, Normal, and Beta, Mean, Median, Variance and Standard Deviation, Creating a Family Trust

Complete Text is On-Line! Click Here

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