The 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 |
