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
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