This page provides aligned teaching materials for Calculus II, including detailed instructor guides and instructional presentation slides. Each resource is built around Lumen’s framework for Evidence-Based Teaching Practices, with the goal of supporting an active, engaged, and connected classroom — while also making your job easier.
JUMP TO: Course Information | Instructor Guides | Slide Decks |
Practice Problems + Keys | Discussions, Writing Tasks, and AI Activities |
Course Information
You may want to reference module titles, topic areas, or specific learning outcomes in your syllabus.
Instructor Guides
Instructor Guides are provided for each module to support active learning, conceptual investigation, and collaboration. Each guide includes an overview of the module content, a summary of what students encounter in key sections, and a list of learning outcomes. You’ll also find engaging classroom activities with accompanying materials such as handouts and worksheets. Activities come with a suggested instructional plan, alignment to evidence-based teaching practices, discussion prompts, and an online variation that can be integrated into your LMS for hybrid or asynchronous classes.
Module 1: Parametric Curves and Their Applications Instructor Guide
Module 2: Polar Coordinates and Conic Sections Instructor Guide
Module 3: Foundations of Vectors and 3D Space Instructor Guide
Module 4: Advanced Vector Operations and Applications Instructor Guide
Module 5: Vector-Valued Functions and Motion Instructor Guide
Module 6: Introduction to Multivariable Functions Instructor Guide
Module 7: Advanced Partial Derivatives Instructor Guide
Module 8: Optimization and Applications Instructor Guide
Module 9: Double Integration and Applications Instructor Guide
Module 10: Triple Integration and Applications Instructor Guide
Module 11: Vector Calculus and Vector Fields Instructor Guide
Module 12: Advanced Vector Calculus Instructor Guide
Module 13: Second-Order Differential Equations Instructor Guide
Presentation Slide Decks
You can download a PPT or make a copy and customize these Google Slide decks to serve as a visual guide and companion to each suggested lesson. They include student-friendly learning outcomes, sample class affirmations, ideas for engagement and details for each activity.
Module 1: Parametric Curves and Their Applications
Module 2: Polar Coordinates and Conic Sections
Module 3: Foundations of Vectors and 3D Space
Module 4: Advanced Vector Operations and Applications
Module 5: Vector-Valued Functions and Motion
Module 6: Introduction to Multivariable Functions
Module 7: Advanced Partial Derivatives
Module 8: Optimization and Applications
Module 9: Double Integration and Applications
Module 10: Triple Integration and Applications
Module 11: Vector Calculus and Vector Fields
Module 12: Advanced Vector Calculus
Get Stronger Practice Problems
Module 1 Parametric Curves and Their Applications: Get Stronger + Answer Key
Module 2 Polar Coordinates and Conic Sections: Get Stronger + Answer Key
Module 3 Foundations of Vectors and 3D Space: Get Stronger + Answer Key
Module 4 Advanced Vector Operations and Applications: Get Stronger + Answer Key
Module 5 Vector-Valued Functions and Motion: Get Stronger + Answer Key
Module 6 Introduction to Multivariable Functions: Get Stronger + Answer Key
Module 7 Advanced Partial Derivatives: Get Stronger + Answer Key
Module 8 Optimization and Applications: Get Stronger + Answer Key
Module 9 Double Integration and Applications: Get Stronger + Answer Key
Module 10 Triple Integration and Applications: Get Stronger + Answer Key
Module 11 Vector Calculus and Vector Fields: Get Stronger + Answer Key
Module 12 Advanced Vector Calculus: Get Stronger + Answer Key
Module 13 Second-Order Differential Equations: Get Stronger + Answer Key
Discussions, Writing Tasks, and AI Activities
Subject Specific Assignments
Biology Assignment: Population
Biology Assignment: Modeling DNA
Physics Assignment: Force
Physics Assignment: Archery
Engineering Assignment: Center of Mass and Moments of Inertia
Engineering Assignment: Flux
Economics Assignment: Production Function
Economics Assignment: Optimization
Computer Science Assignment: Small Steps to the Peak
Computer Science Assignment: Integrals inside Integrals
Capstone Project
Offline Content Access
NOTE: the epub contains the Learn It and Apply It content only. There are no interactives, videos, practice questions, or assessments included in these files and some images will not display in this format. You will need to download and open the epub within an e-reader, such as iBooks or ReadEra.
This epub is designed to assist you in preparation for your course(s) using Lumen OHM or as a resource for students requiring accessibility accommodations.If your students are interested in a printed version of the Learn It and Apply It content, we offer 3-hole punched copies which can be ordered through your bookstore or directly by students here.