Labs in CONVERGE

Calculus and Pre-calculus Labs

There are thirteen calculus and pre-calculus interactive computer labs with problem sets (a total of 432 problems) that are part of the Converge software. All these labs can be accessed from the Options Menu. The labs are organized in the standard Windows help format. The lab titles are the (help) "books", and the lab sections for a lab are the "help topics" for a book.

These labs are as follows.

    Shifting, Reflecting, & Stretching a Graph
           new8-34.png (462 bytes)  1. Adding or Subtracting a Constant
           new8-34.png (462 bytes)  2. Replacing X by X + c or X - c
           new8-34.png (462 bytes)  3. Multiplying by -1
           new8-34.png (462 bytes)  4. Replacing X by -X
           new8-34.png (462 bytes)  5. Multiplying by a Constant
           new8-34.png (462 bytes)  6. Replacing X by cX
           new8-34.png (462 bytes)  7. Making Multiple Changes
           new8-34.png (462 bytes)  Problem Set

    Curve Fitting
          
new8-34.png (462 bytes)  Introduction
          
new8-34.png (462 bytes)  1. Scatterplots and Correlation
          
new8-34.png (462 bytes)  2. Linear Curve Fitting
          
new8-34.png (462 bytes)  3. Non-linear Curve Fitting
          
new8-34.png (462 bytes)  Problem Set
    The Limit of a Function
          
new8-34.png (462 bytes)  Introduction
          
new8-34.png (462 bytes)  1. Limit Fundamentals & One-sided Limits
          
new8-34.png (462 bytes)  2. Def. of F(x) at a vs. Limit as x Approaches a
          
new8-34.png (462 bytes)  3. Using Graphs to Visualize Limits
          
new8-34.png (462 bytes)  4. Limits where Y approaches infinity
          
new8-34.png (462 bytes)  5. Limits where F(x) is Not Defined on One Side of a
          
new8-34.png (462 bytes)  6. A Constant Function
          
new8-34.png (462 bytes)  7. An Oscillating Function (optional)
          
new8-34.png (462 bytes)  8. Another Oscillating Function (optional)
          
new8-34.png (462 bytes)  Problem Set
    The Definition of Derivative
          
new8-34.png (462 bytes)  1. A Tangent Line
          
new8-34.png (462 bytes)  2. Derivatives & Left- and Right-hand Derivatives
          
new8-34.png (462 bytes)  3. Applying the Definitions
          
new8-34.png (462 bytes)  Problem Set
    Differentiability and Continuity
          
new8-34.png (462 bytes)  Introduction
          
new8-34.png (462 bytes)  1. The Derivative at a Jump Discontinuity
          
new8-34.png (462 bytes)  2. The Derivative at another Non-removable Discontinuity
          
new8-34.png (462 bytes)  3. The Derivative at a Removable Discontinuity
          
new8-34.png (462 bytes)  4. Must a Function be Differentiable where it is Continuous?
          
new8-34.png (462 bytes)  5. Another Point where the Function is Continuous
          
new8-34.png (462 bytes)  6. A Point where the Graph has a Vertical Tangent
          
new8-34.png (462 bytes)  7. A Point where the Graph is Connected and Smooth
          
new8-34.png (462 bytes)  Problem Set
    Graph of the Derivative
          
new8-34.png (462 bytes)  Introduction
          
new8-34.png (462 bytes)  1. Graphing a Derivative Function
          
new8-34.png (462 bytes)  2. Graphing another Derivative
          
new8-34.png (462 bytes)  Problem Set
    The Definite Integral
          
new8-34.png (462 bytes)  1. Sequences of Riemann Sums
          
new8-34.png (462 bytes)  2. The Definite Integral
          
new8-34.png (462 bytes)  3. Definite Integrals of some Non-linear Functions
          
new8-34.png (462 bytes)  Problem Set

Some sections of the following labs involve some use of Derive 5.
    Introduction to Derive
          
new8-34.png (462 bytes)  1. Authoring, Highlighting, and Deleting Expressions
          
new8-34.png (462 bytes)  2. Graphing, Solving Equations, and Substituting into Expressions
          
new8-34.png (462 bytes)  3. More Substituting
          
new8-34.png (462 bytes)  4. Finding Derivatives
          
new8-34.png (462 bytes)  Problem Set
    Newton's Method
          
new8-34.png (462 bytes)  1. Visualizing Newton's Method
          
new8-34.png (462 bytes) 2. Getting Very Accurate Estimates with Newton's Method
          
new8-34.png (462 bytes)  Problem Set
    Estimating and Calculating Integrals
          
new8-34.png (462 bytes)  1. The Trapezoidal Rule
          
new8-34.png (462 bytes)  2. Simpson's Rule
          
new8-34.png (462 bytes)  3. Comparing Simpson's and Trapezoidal Rule Estimates
          
new8-34.png (462 bytes)  4. An Upper Bound for the Error in Using Simpson's Rule
          
new8-34.png (462 bytes)  Problem Set
    Solutions of First Order Differential Equations
          
new8-34.png (462 bytes)  1. Graphical Solution of a Simple Equation using a Direction Field
          
new8-34.png (462 bytes) 2. Graphical Solution of a More Complicated Equation
          
new8-34.png (462 bytes)  3. Finding Algebraic Solutions
          
new8-34.png (462 bytes)  Problem Set
    Sequences and Series
          
new8-34.png (462 bytes)  Introduction
          
new8-34.png (462 bytes)  1. The Convergence of a Sequence
          
new8-34.png (462 bytes)  2. Another Sequence
          
new8-34.png (462 bytes)  3. One More Sequence
          
new8-34.png (462 bytes)  Problems Involving Sequences
          
new8-34.png (462 bytes)  4. The Convergence of a Series
          
new8-34.png (462 bytes)  5. Another Series
          
new8-34.png (462 bytes)  6. Applying Tests for Convergence of Series
          
new8-34.png (462 bytes)  Problems Involving Series
    Taylor Polynomials
          
new8-34.png (462 bytes)  1. Taylor Polynomials for Cos x
          
new8-34.png (462 bytes)  2. Taylor Polynomials for ln x
          
new8-34.png (462 bytes)  3. The Accuracy of Taylor Polynomials
          
new8-34.png (462 bytes)  Problem Set

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