Assignments

icon of a pencil cupThe assignments in this course are openly licensed, and are available as-is, or can be modified to suit your students’ needs. For Calculus I, the assignments include a variety of discussion prompts, writing tasks, possible group work, and application-based activities that focus on reinforcing specific learning outcomes.

There are also Problem Sets – found here, and Flipped Classroom Assignments and Desmos Interactives – found here.

Discussion Prompts and Alignment
Discussion Title Module
Discussion 1: Relations and Functions in Real Life Module 1: Functions and Graphs
Discussion 2: Inverse Functions and Cryptography Module 1: Functions and Graphs
Discussion 3: Limits and the Area of a Circle Module 2: Limits
Discussion 4: Continuity Module 2: Limits
Discussion 5: Rates of Change and COVID-19 Module 3: Derivatives
Discussion 6: Patterns in Higher Order Derivatives Module 3: Derivatives
Discussion 7: The Mean Value Theorem and Rate of Change Module 4: Applications of Derivatives
Discussion 8: Shapes of Graphs and COVID-19 Module 4: Applications of Derivatives
Discussion 9: Approximating Areas with Other Shapes Module 5: Integration
Discussion 10: Theorems about Definite Integrals Module 5: Integration
Discussion 11: Volume and Surface Area in Real Life Module 6: Applications of Integration
Discussion 12: Newton’s Law of Cooling Module 6: Applications of Integration

 

Activities Embedded in Text
Activity Title Module Location
The Maximum Value of a Function Module 1: Inverse Trigonometric Functions
Deriving the Formula for the Area of a Circle Module 2: The Squeeze Theorem
Racetrack Safety at the Formula One Grandstand Module 3: Combining Differentiation Rules
Iterative Processes and Chaos Module 4: Other Iterative Processes
A Parachutist in Free Fall Module 5: Fundamental Theorem of Calculus, Part 2
Engineering the Grand Canyon Skywalk Module 6: The Symmetry Principle

 

Subject Field Assignments – (Learning Outcome alignment is listed on each assignment)
Assignment Title Field of Study
Growth Rate of an Epidemic Biology
Population Dynamics Biology
Position, Velocity, and Acceleration Physics
Harmonics and Beats Physics
Gravity Physics
Energy from a Water Dam Engineering
Power in Circuits Engineering
Optimization Economics
Rates and Margins Economics
Interpolation and Cubic Splines Computer Science
Gradient Descent Computer Science
Algorithm Complexity, Probability and Statistics Computer Science

 

Capstone Project Assignments – (Learning Outcome alignment is listed on each assignment)
Building a Mountain Resort
The Analysis Part 1
The Plan Part 2
The Building and Attractions Part 3
The Finishing Touches Part 4
The Finale Final Project