Videos

We have created videos for many topics in first-semester calculus (listed below).

For each topic there is a “Student Problem Solving” that features two students working on a problem that motivates the study of the topic and highlights difficulties that many students face. The subsequent videos show how to solve the problem and use this as a springboard to describe the mathematical concept.

Each collection of videos can be viewed on our Ximera platform, which allows students to try the motivating problem, watch all of the videos, and complete diagnostic questions prior to and after watching the videos.

All of the videos can also be found on the YouTube Calcvids channel:

TopicIndividual Videos
Constant Rates of Change
Graphing Constant Rate of Change
Varying Rates of Change
Graphing Varying Rates of Change
Average Rates of Change
Approximating Instantaneous Rates of Change
Continuity
Differentiability and Local Linearity
Limit at a Point
Limit Laws
1. Limit Laws
Limit Definition of Derivative
Using the Limit Definition of Derivative
Interpreting Derivatives
Slopes of Secant and Tangent Lines
Graphing Derivatives
Basic Derivative Rules
The Product Rule
The Quotient Rule
The Chain Rule
l'Hopital's Rule
Mean Value Theorem
Related Rates
Implicit Differentiation
Introduction to Optimization
Optimization: Algebraic Modeling
Introduction to Riemann Sums
Riemann Sum Notation
Definite Integrals
Antiderivatives
The Fundamental Theorem of Calculus, Part 1
The Fundamental Theorem of Calculus, Part 2
U-Substitution
The S-I-R Model
An Introduction to Euler's Method
An Introduction to (Linear) Differential Equations