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 III, 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: Plotting Parametric Equations Module 1: Parametric Equations and Polar Coordinates
Discussion 2: Areas in Rectangular and Polar Coordinates Module 1: Parametric Equations and Polar Coordinates
Discussion 3: Vector Operations Module 2: Vectors in Space
Discussion 4: Equations of Lines and Planes Module 2: Vectors in Space
Discussion 5: Plots and Tangents Module 3: Vector-Valued Functions
Discussion 6: Arc Length for Polar Coordinates Module 3: Vector-Valued Functions
Discussion 7: Contour Maps and Directional Derivatives Module 4: Differentiation of Functions of Several Variables
Discussion 8: Absolute Extrema Module 4: Differentiation of Functions of Several Variables
Discussion 9: Changing the Order of Integration Module 5: Multiple Integration
Discussion 10: Polar, Cylindrical, and Spherical Coordinates Module 5: Multiple Integration
Discussion 11: Understanding Green’s Theorem Module 6: Vector Calculus
Discussion 12: Verifying Stoke’s Theorem Module 6: Vector Calculus
Discussion 13: Finding Solutions Module 7: Second-Order Differential Equations
Discussion 14: Using One Solution to Find Another Module 7: Second-Order Differential Equations

 

Activities Embedded in Text
Activity Title Module Location
The Witch of Agnesi Module 1: Parametric Equations and Polar Coordinates
Travels With My Ant: The Curtate and Prolate Cycloids Module 1: Parametric Equations and Polar Coordinates
Distance Between two Skew Lines Module 2: Vectors in Space
Navigating a Banked Turn Module 3: Vector-Valued Functions
Lord Kelvin and the Age of Earth Module 4: Differentiation of Functions of Several Variables
Hot Air Balloons Module 5: Multiple Integration
Measuring Area From a Boundary: The Planimeter Module 6: Vector Calculus
Landing Vehicle Module 7: Second-Order Differential Equations

 

Subject Field Assignments – (Learning Outcome alignment is listed on each assignment)
Assignment Title Field of Study
Population Biology
Modeling DNA Biology
Archery
 Physics
Force Physics
Flux Engineering
Center of Mass and Moments of Inertia Engineering
Optimization Economics
Production Function Economics
Small Steps to the Peak Computer Science
Integrals inside Integrals Computer Science

 

Capstone Project Assignments – (Learning Outcome alignment is listed on each assignment)
Renovating a Castle
The Beginning Part 1
Minor Improvements Part 2
The Courtyard Part 3
The Finale Final Project