Calculus Using the TI-84 Plus

Course Outline

• Module 0 - Getting Acquainted
• Lesson 0.1 - A Quick Glance at the Keyboard
  
• Lesson 0.2 - Resetting Defaults
  
• Lesson 0.3 - Entering Arithmetic Expressions
  
• Lesson 0.4 - Evaluating Exponential Expressions
  
• Module 1 - Describing Functions
• Lesson 1.1 - Describing Functions Symbolically
  
• Lesson 1.2 - Describing Functions Graphically
  
• Lesson 1.3 - Describing Functions Numerically
  
• Module 2 - Lines
• Lesson 2.1 - Equations of Lines
  
• Lesson 2.2 - Scatter Plots and Linear Regression
  
• Lesson 2.3 - Slopes and Rates of Change
  
• Module 3 - Functions and Transformations
• Lesson 3.1 - Stretches and Reflections
  
• Lesson 3.2 - Translations and Combined Transformations
  
• Lesson 3.3 - Exponential and Logarithmic Functions
  
• Lesson 3.4 - Cooling Liquids
  
• Module 4 - Parametric Equations, Trigonometric and Inverse Trigonometric Functions
• Lesson 4.1 - Parametric Equations
  
• Lesson 4.2 - Trigonometric Functions
  
• Lesson 4.3 - Sine Regression
  
• Lesson 4.4 - Inverse Trigonometric Functions
  
• Module 5 - Logistic Growth
• Lesson 5.1 - Simulating Logistic Growth with The Spread-of-a-Rumor Experiment
  
• Lesson 5.2 - Modeling Logistic Growth
  
• Lesson 5.3 - Change in y
  
• Module 6 - Limit as x Approaches a
• Lesson 6.1 - Tolerances
  
• Lesson 6.2 - Definition of Limit
  
• Lesson 6.3 - Limits Graphically, Numerically, and Algebraically
  
• Module 7 - Limits and Infinity
• Lesson 7.1 - Vertical and Horizontal Asymptotes
  
• Lesson 7.2 - Holes
  
• Lesson 7.3 - Oblique Asymptotes
  
• Lesson 7.4 - Nonlinear Asymptotes
  
• Module 8 - Continuity
• Lesson 8.1 - Definition of Continuity
  
• Lesson 8.2 - Types of Discontinuities
  
• Lesson 8.3 - Piecewise Functions
  
• Module 9 - Velocity
• Lesson 9.1 - Average Velocity
  
• Lesson 9.2 - Instantaneous Velocity
  
• Lesson 9.3 - Difference Quotients
  
• Module 10 - Derivative of a Function
• Lesson 10.1 - The Derivative at a Point
  
• Lesson 10.2 - Local Linearity
  
• Lesson 10.3 - The Derivative as a Function
  
• Module 11 - The Relationship between a Function and Its First and Second Derivatives
• Lesson 11.1 - What the First Derivative Says About a Function
  
• Lesson 11.2 - What the Second Derivative Says About a Function
  
• Module 12 - Rules of Differentiation
• Lesson 12.1 - Discovering Rules of Differentiation
  
• Lesson 12.2 - Rules of Differentiation: Applications and Graphical Support
  
• Module 13 - Extreme Values of Functions
• Lesson 13.1 - Critical Points
  
• Lesson 13.2 - The First Derivative Test
  
• Lesson 13.3 - The Second Derivative Test
  
• Lesson 13.4 - TI-83 Minimum and Maximum Features
  
• Module 14 - Optimization
• Lesson 14.1 - The Cone Problem
  
• Lesson 14.2 - The Can Problem
  
• Lesson 14.3 - The Can Problem With Waste
  
• Module 15 - Particle Motion and Parametric Models
• Lesson 15.1 - Motion Along a Line
  
• Lesson 15.2 - Harmonic Motion
  
• Lesson 15.3 - Motion in a Plane
  
• Module 16 - Related Rates
• Lesson 16.1 - The Ladder Problem
  
• Lesson 16.2 - The Ladder Problem With Gravity
  
• Lesson 16.3 - Two Ships
  
• Module 17 - Riemann Sums and the Definite Integral
• Lesson 17.1 - Right-hand Riemann Sums
  
• Lesson 17.2 - Left-hand Riemann Sums and the AREA Program
  
• Lesson 17.3 - The Definite Integral
  
• Module 18 - The Fundamental Theorem
• Lesson 18.1 - Area Functions, A Symbolic Approach
  
• Lesson 18.2 - Area Functions, A Visual Approach
  
• Lesson 18.3 - The Fundamental Theorem of Calculus
  
• Module 19 - Applications of Integration
• Lesson 19.1 - Net Area
  
• Lesson 19.2 - Total Area and The Area Between Two Curves
  
• Lesson 19.3 - Arc Length
  
• Module 20 - Antiderivatives as Indefinite Integrals and Differential Equations
• Lesson 20.1 - Antiderivatives as Indefinite Integrals
  
• Lesson 20.2 - Solving Differential Equations Analytically and Graphically
  
• Lesson 20.3 - Solving Differential Equations Numerically
  
• Lesson 20.4 - Slope Fields
  
• Module 21 - Exponential Growth and Decay
• Lesson 21.1 - Continuously Compounded Interest
  
• Lesson 21.2 - Newton's Law of Cooling
  
• Lesson 21.3 - Charge on a Capacitor
  
• Module 22 - Differential Equations and Euler's Method
• Lesson 22.1 - Logistic Growth Revisited
  
• Lesson 22.2 - Euler's Method
  
• Lesson 22.3 - Second-Order Differential Equations
  
• Module 23 - Sequences and Series
• Lesson 23.1 - Sequences
  
• Lesson 23.2 - Series and Sequences of Partial Sums
  
• Lesson 23.3 - Recursively Defined Sequences
  
• Module 24 - Power Series
• Lesson 24.1 - Power Series
  
• Lesson 24.2 - Maclaurin Series
  
• Lesson 24.3 - Taylor Series
  
• Module 25 - Parametric Equations
• Lesson 25.1 - Parametric Graphs
  
• Lesson 25.2 - Chain Rule for Parametric Equations
  
• Lesson 25.3 - Arc Length of Parametric Curves
  
• Module 26 - Vectors
• Lesson 26.1 - Vector Arithmetic
  
• Lesson 26.2 - Vector Functions
  
• Lesson 26.3 - Projectile Motion
  
• Module 27 - Polar Functions
• Lesson 27.1 - Polar Coordinates
  
• Lesson 27.2 - Polar Graphs
  
• Lesson 27.3 - Area Bounded by Polar Graphs
  
• Module 28 - Activities for Calculus Using the TI-83
• Lesson 28.1 - Activity 1 - Graphical Consequences of Continuity
  
• Lesson 28.2 - Activity 2 - Graphs of Functions and their Derivatives
  
• Lesson 28.3 - Activity 3 - Move My Way - A CBR Analysis of Rates of Change
  
• Lesson 28.4 - Activity 4 - Introduction to Slope Fields
  
• Lesson 28.5 - Activity 5 - Exploring Infinite Series
  
• Module 29 - Practical Application
• Lesson 29.1 - Integration
  
• Lesson 29.2 - Assignment