Calculus Using the TI-89

• Module 1 - Describing Functions
• Lesson 1.1 - Basic Features
  
• Lesson 1.2 - Describing Functions Symbolically
  
• Lesson 1.3 - Describing Functions Graphically
  
• Lesson 1.4 - Describing Functions Numerically
  
• Module 2 - Computer Algebra
• Lesson 2.1 - Numerical Calculations
  
• Lesson 2.2 - Variables
  
• Lesson 2.3 - Pattern Recognition
  
• Module 3 - Logistic Growth
• Lesson 3.1 - Scatter plots
  
• Lesson 3.2 - Curve fitting
  
• Lesson 3.3 - Change in y
  
• Module 4 - Limit as x Approaches a
• Lesson 4.1 - Tolerances
  
• Lesson 4.2 - Definition of Limit
  
• Lesson 4.3 - TI-89 Limit Function
  
• Module 5 - Limits and Infinity
• Lesson 5.1 - Vertical and Horizontal Asymptotes
  
• Lesson 5.2 - Holes
  
• Lesson 5.3 - Oblique Asymptotes
  
• Lesson 5.4 - Nonlinear Asymptotes
  
• Module 6 - Continuity
• Lesson 6.1 - Definition of Continuity
  
• Lesson 6.2 - Types of Discontinuities
  
• Lesson 6.3 - Piecewise Functions
  
• Module 7 - Velocity
• Lesson 7.1 - Average Velocity
  
• Lesson 7.2 - Instantaneous Velocity
  
• Lesson 7.3 - Difference Quotients
  
• Module 8 - Derivative of a Function
• Lesson 8.1 - Derivative at a Point
  
• Lesson 8.2 - Local Linearity
  
• Lesson 8.3 - The Derivative as a Function
  
• Module 9 - The Relationship between a Function and Its First and Second Derivative
• Lesson 9.1 - What the First Derivative Says About the Function
  
• Lesson 9.2 - What the Second Derivative Says About the Function
  
• Module 10 - Rules of Differentiation
• Lesson 10.1 - The Power Rule
  
• Lesson 10.2 - The Product Rule
  
• Lesson 10.3 - Scripts
  
• Lesson 10.4 - The Chain Rule
  
• Module 11 - Extreme Values and Optimization
• Lesson 11.1 - Finding Extreme Values of a Function
  
• Lesson 11.2 - The Cone Problem
  
• Lesson 11.3 - The Can Problem
  
• Lesson 11.4 - The Can Problem With Waste
  
• Module 12 - Particle Motion and Parametric Models
• Lesson 12.1 - Motion Along a Line
  
• Lesson 12.2 - Harmonic Motion
  
• Lesson 12.3 - Motion in a Plane
  
• Module 13 - Implicit Differentiation
• Lesson 13.1 - Graphs of Implicit Relations
  
• Lesson 13.2 - Implicit Differentiation
  
• Module 14 - Related Rates
• Lesson 14.1 - The Ladder Problem
  
• Lesson 14.2 - The Ladder Problem With Gravity
  
• Lesson 14.3 - Two Ships
  
• Lesson 14.4 - A Moving Particle
  
• Module 15 - Riemann Sums and the Definite Integral
• Lesson 15.1 - Right-hand Riemann Sums
  
• Lesson 15.2 - Left-hand Riemann Sums and the area Program
  
• Lesson 15.3 - The Definite Integral
  
• Module 16 - The Fundamental Theorem
• Lesson 16.1 - Area Functions, A Symbolic Approach
  
• Lesson 16.2 - Area Functions, A Visual Approach
  
• Lesson 16.3 - The Fundamental Theorem of Calculus
  
• Module 17 - Applications of Integration
• Lesson 17.1 - Net Area
  
• Lesson 17.2 - Total Area and The Area Between Two Curves
  
• Lesson 17.3 - Arc Length
  
• Module 18 - Antiderivatives as Indefinite Integrals and Differential Equations
• Lesson 18.1 - Antiderivatives as Indefinite Integrals
  
• Lesson 18.2 - A Script For Discovering an Indefinite Integral Rule
  
• Lesson 18.3 - Solving Differential Equations Analytically
  
• Lesson 18.4 - Solving Differential Equations Graphically and Numerically
  
• Module 19 - Exponential Growth and Decay
• Lesson 19.1 - Continuously Compounded Interest
  
• Lesson 19.2 - Newton's Law of Cooling
  
• Lesson 19.3 - Charge on a Capacitor
  
• Module 20 - Differential Equations and Euler's Method
• Lesson 20.1 - Logistic Growth Revisited
  
• Lesson 20.2 - Euler's Method
  
• Lesson 20.3 - Second-Order Differential Equations
  
• Module 21 - Sequences and Series
• Lesson 21.1 - Sequences
  
• Lesson 21.2 - Series and Sequences of Partial Sums
  
• Lesson 21.3 - Recursively Defined Sequences
  
• Module 22 - Power Series
• Lesson 22.1 - Power Series
  
• Lesson 22.2 - Maclaurin Series
  
• Lesson 22.3 - Taylor Series
  
• Module 23 - Parametric Equations
• Lesson 23.1 - Parametric Graphs
  
• Lesson 23.2 - Chain Rule for Parametric Equations
  
• Lesson 23.3 - Arc Length of Parametric Curves
  
• Module 24 - Vectors
• Lesson 24.1 - Vector Arithmetic
  
• Lesson 24.2 - Vector Functions
  
• Lesson 24.3 - Projectile Motion
  
• Module 25 - Polar Functions
• Lesson 25.1 - Polar Coordinates
  
• Lesson 25.2 - Polar Graphs
  
• Lesson 25.3 - Area Bounded by Polar Graphs
  
• Module 26 - Activities for Calculus Using the TI-89
• Lesson 26.1 - Activity 1 - Infinite Series - Fractals
  
• Lesson 26.2 - Activity 2 - Piecewise Functions, Continuity, and Differentiability
  
• Lesson 26.3 - Activity 3 - Newton's Law of Cooling, Data Analysis and Differential Equations
  
• Lesson 26.4 - Activity 4 - Sands of Time
  
• Lesson 26.5 - Activity 5 - Exploring Taylor's Integrals
  
• Module 27 - Activities for Enhancing the Teaching of Calculus
• Lesson 27.1 - Activity 6 - Bottling Up the Profits
  
• Lesson 27.2 - Activity 7 - Grill Master
  
• Lesson 27.3 - Activity 8 - The Spread of Disease with Differential Equations
  
• Lesson 27.4 - Activity 9 - The Timing Probability
  
• Lesson 27.5 - Activity 10 - Definite Integrals and Area Under A Curve
  
• Module 28 - Extending an Activity
• Lesson 28.1 - Activity 11 - Boxing It Up
  
• Lesson 28.2 - Extension to Activity
  
• Module 29 - Practical Application
• Lesson 29.1 - Integration
  
• Lesson 29.2 - Assignment