Topic  Ximera Page (Student Problem Solving Version, when available)  Individual Videos 

Constant Rates of Change  Link   Student Problem Solving: Pouring Water into a Cylinder
 Solving the Problem of Pouring Water
 Formal Definition of Constant Rate of Change

Graphing Constant Rate of Change  Link   Student Problem Solving: Cannon Cow!
 Graphing Cannon Cow
 Graphing Pouring Water

Varying Rates of Change  Link   Student Problem Solving: Pouring Water into an Erlenmeyer Flask
 Solving the Problem of Pouring Water
 Frozen Yogurt in a Cone

Graphing Varying Rates of Change  Link   Student Problem Solving: Filling a Spherical Flask
 Making a Graph for Filling a Spherical Flask

Average Rates of Change  Link   Student Problem Solving: Two Race Cars, Constant Rates, and Average Rates
 Average Rates of Change as Constant Rates of Change
 A Precise Description of Average Rates of Change

Approximating Instantaneous Rates of Change  Link   Student Problem Solving: The Stationary Baseball
 Approximating the Speed of a Baseball
 Using Average Rates of Change to Approximate an Instantaneous Rate of Change

Continuity  Link   Student Problem Solving: Continuity
 Video 1: Continuity

Differentiability and Local Linearity    Student Problem Solving: Growth of a Rabbit Population
 Local Linearity

Limit at a Point  Link   Limit at a Point
 OneSided Limits

Limit Laws  Link   Limit Laws (Coming Soon)

Limits at Infinity  Link   Limits at Infinity Laws (Coming Soon)

Limit Definition of Derivative  Link   Student Problem Solving: Rate of Absorbing Ibuprofen
 Defining the derivative

Using the Limit Definition of Derivative  Link   Student Problem Solving: Using Limits to Compute Derivatives
 Using Limits to Compute Instantaneous Rates of Change

Interpreting Derivatives  Link   Student Problem Solving: Interpreting Derivatives
 Interpreting the Derivative

Slopes of Secant and Tangent Lines  Link   Student Problem Solving: The Imprecision of Tangents
 Finding the speed of a baseball at a moment in time graphically
 Graphing the rate of change of metabolizing ibuprofen

Graphing Derivatives  Link   Student Problem Solving: Graphing the Speed of a Baseball
 Graphing the Derivative Function

Basic Derivative Rules  Link   Student Problem Solving: Trying to Use the Limit Definition
 The Power Rule
 Exponential and Logarithmic Functions
 Trigonometric Functions

The Product Rule  Link   Student Problem Solving: Products of Polynomials
 Procedural Description of the Product Rule
 Conceptual Explanation of the Product Rule

The Quotient Rule  Link   Student Problem Solving: Derivatives of Quotients
 The Quotient Rule
 Why the Quotient Rule Works

The Chain Rule  Link   Student Problem Solving: A Ripple in a Pond
 Computing the Average Rate of Change of a Composition of Functions
 How to Use the Chain Rule
 Why the Chain Rule Works

l'Hopital's Rule  Link   Student Problem Solving: Evaluating Indeterminate Limits
 Limits of Quotients

Mean Value Theorem  Link   Student Problem Solving
 Video 1: Mean Value Theorem
 Video 2: Mean Value Theorem, Why it Works
 Video 2 Extended: Mean Value Theorem, Why it Works

Related Rates  Link   Student Problem Solving
 Video 1: Defining a Related Rate Formula
 Video 2: Solving A Related Rates Problem

Implicit Differentiation  Link   Student Problem Solving: A Complicated Tangent Line
 Introduction to Implicit Differentiation
 Tangent Lines for a Cardioid

Introduction to Optimization  Link   Student Problem Solving: Maximizing Fuel Economy
 Using Derivatives to Maximize Fuel Economy
 An Example of Optimization

Optimization: Algebraic Modeling  Link   Student Problem Solving: Maximizing an Animal Pen
 How to Maximize the Area of a Rectangular Pen

Introduction to Riemann Sums  Link   Student Problem Solving: Dust Accumulation on the Mars Rover
 Using a Riemann Sum to Approximate the Amount of Accumulated Dust
 A Riemann Sum for an Oil Spill

Riemann Sum Notation  Link   Student Problem Solving: Writing a Riemann Sum Two Ways
 Writing Riemann Sums using Sigma Notation

Definite Integrals  Link   Student Problem Solving: Mars Rover Using a Formula
 Definite Integrals as Limits of Riemann Sums
 A Definite Integral for an Oil Spill

Antiderivatives  Link   Student Problem Solving: Antiderivatives
 Antiderivatves
 Antiderivatvies, Part 2
 Using Antiderivative Rules

The Fundamental Theorem of Calculus, Part 1  Link   Student Problem Solving:
 Computing Total Accumulation

The Fundamental Theorem of Calculus, Part 2  Link   Student Problem Solving: Cumulative Probability from a Normal Distribution
 Accumulation Functions
 Antiderivatives and Accumulation Functions

USubstitution  <a href="{[v]}usub"   Student Problem Solving: Evaluating Indefinite Integrals
 Video 1: USubstitution </table>
