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: Introduction to Integration Instructor Guide
Module 2: Techniques for Integration Instructor Guide
Module 3: Application of Integration Instructor Guide
Module 4: Physical Applications of Integration Instructor Guide
Module 5: Integration of Exponential, Logarithmic, and Hyperbolic Functions Instructor Guide
Module 6: Advanced Integration Techniques Instructor Guide
Module 7: Numerical and Improper Integration Instructor Guide
Module 8: Introduction to Differential Equations Instructor Guide
Module 9: Sequences and Series Foundations Instructor Guide
Module 10: Power Series and Applications Instructor Guide
Module 11: Parametric Curves and Their Applications Instructor Guide
Module 12: Polar Coordinates and Conic Sections 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: Introduction to Integration
Module 2: Techniques for Integration
Module 3: Applications of Integration
Module 4: Physical Applications of Integration
Module 5: Integration of Exponential, Logarithmic, and Hyperbolic Functions
Module 6: Advanced Integration Techniques
Module 7: Numerical and Improper Integration
Module 8: Introduction to Differential Equations
Module 9: Sequences and Series Foundations
Module 10: Power Series and Applications
Module 11: Parametric Curves and Their Applications
Get Stronger Practice Problems
Module 1 Introduction to Integration: Get Stronger + Answer Key
Module 2 Techniques for Integration: Get Stronger + Answer Key
Module 3 Application of Integration: Get Stronger + Answer Key
Module 4 Physical Applications of Integration: Get Stronger + Answer Key
Module 5 Integration of Exponential, Logarithmic, and Hyperbolic Functions: Get Stronger + Answer Key
Module 6 Advanced Integration Techniques: Get Stronger + Answer Key
Module 7 Numerical and Improper Integration: Get Stronger + Answer Key
Module 8 Introduction to Differential Equations: Get Stronger + Answer Key
Module 9 Sequences and Series Foundations: Get Stronger + Answer Key
Module 10 Power Series and Applications: Get Stronger + Answer Key
Module 11 Parametric Curves and Their Applications: Get Stronger + Answer Key
Module 12 Polar Coordinates and Conic Sections: Get Stronger + Answer Key
Discussions, Writing Tasks, and AI Activities
Subject Specific Assignments
Biology Assignment: Differential Equations and Population Models
Biology Assignment: Logistic Equation
Physics Assignment: Taylor Series Approximation
Physics Assignment: Mass, Center of Mass
Engineering Assignment: Distributed Loads on a Beam
Engineering Assignment: Hydrostatic Force on a Dam
Economics Assignment: Surplus
Economics Assignment: Lorenz Curve
Computer Science Assignment: Approximating Transcendental Functions
Computer Science Assignment: Midpoint, Trapezoidal, and Simpson’s Rule
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.