## Assignments

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

Discussion Prompts and Alignment
Discussion Title Module
Discussion 1: Approximating Areas with Unique Shapes Module 1: Integration
Discussion 2: Theorems About Definite Integrals Module 1: Integration
Discussion 3: Volume and Surface Area in Real Life Module 2: Applications of Integration
Discussion 4: Newton’s Law of Cooling Module 2: Applications of Integration
Discussion 5: Integration Techniques Module 3: Techniques of Integration
Discussion 6: Numerical Integration Module 3: Techniques of Integration
Discussion 7: Euler’s Method vs Runge-Kutta Module 4: Differential Equations
Discussion 8: Phase Planes Module 4: Differential Equations
Discussion 9: Substitutions Module 4: Differential Equations
Discussion 10: Areas of Iterative Objects Module 5: Sequences and Series
Discussion 11: Comparing Convergence Tests Module 5: Sequences and Series
Discussion 12: Koch Snowflake Module 5: Sequences and Series
Discussion 13: Finding Taylor Series Module 6: Power Series
Discussion 14: Integration Module 6: Power Series
Discussion 15: Plotting Parametric Equations Module 7: Parametric Equations and Polar Coordinates
Discussion 16: Areas in Rectangular and Polar Coordinates Module 7: Parametric Equations and Polar Coordinates

Activities Embedded in Text
Activity Title Module Location
A Parachutist in Free Fall Module 1: Integration
Engineering the Grand Canyon Skywalk Module 2: Applications of Integration
Laplace Transforms Module 3: Techniques of Integration
Logistic Equation with a Threshold Population Module 4: Differential Equations
Fibonacci Numbers Module 5: Sequences and Series
Series Converging to $\pi$ and $\frac{1}{\pi}$ Module 5: Sequences and Series
Proving the $e$ is Irrational Module 6: Power Series
The Witch of Agnesi Module 7: Parametric Equations and Polar Coordinates
Travels With My Ant: The Curtate and Prolate Cycloids Module 7: Parametric Equations and Polar Coordinates

Subject Field Assignments – (Learning Outcome alignment is listed on each assignment)
Assignment Title Field of Study
Differential Equations and Population Models Biology
Logistic Equation Biology
Taylor Series Approximation
Physics
Mass, Center of Mass Physics
Distributed Loads on a Beam Engineering
Hydrostatic Force on a Dam Engineering
Surplus Economics
Lorenz Curve Economics
Approximating Transcendental Functions Computer Science
Midpoint, Trapezoidal, and Simpson’s Rule Computer Science

Capstone Project Assignments – (Learning Outcome alignment is listed on each assignment)
Agnesi Island Wildlife
Population Analysis Part 1
Island Maintenance Part 2
Temperature Impacts Part 3
Temperature Regulation Part 4
The Finale Final Project