The 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 |
