Cheat Sheets

These quick-reference notes bring together the most important takeaways from each module in one place. Each cheat sheet highlights essential concepts and provides a glossary of key terms. They’re designed to make studying more efficient by giving you a condensed version of the material so you can review with confidence.

Module 1 Cheat Sheet: Basic Functions and Graphs

Module 2 Cheat Sheet: More Basic Functions and Graphs

Module 3 Cheat Sheet: Understanding Limits

Module 4 Cheat Sheet: Limits and Continuity

Module 5 Cheat Sheet: Introduction to Derivatives

Module 6 Cheat Sheet: Techniques for Differentiation

Module 7 Cheat Sheet: Analytical Applications of Derivatives

Module 8 Cheat Sheet: Contextual Applications of Derivatives

Module 9 Cheat Sheet: Introduction to Integration

Module 10 Cheat Sheet: Techniques for Integration

Module 11 Cheat Sheet: Applications of Integration

Module 12 Cheat Sheet: Physical Applications of Integration

Module 13 Cheat Sheet: Integration of Exponential, Logarithmic, and Hyperbolic Functions

Guided Notes

These notes are designed to help you follow along with the material if you find that helpful. Use them as you listen to a class lecture or as you make your way through the Study Plan. You’re welcome to print these guided notes, modify them, or skim them while studying – it’s entirely up to you. They’re not about taking perfect notes or completing an assignment to turn in.  They will help you process and remember information so that you can later apply your knowledge and build on it.

Click to see suggestions about how to use guided notes.

Before Class: Use the 4R Method

1. Read: Select a manageable section of your assigned reading. Depending on your personal preference and time available, this could be one page, one set of Learn It pages, or one topic within the Study Plan.
2. Recall: Close the text and write key terms and concepts in your own words. This active process strengthens your understanding. It’s ok to leave blank spaces.
3. Review: Reopen the textbook and compare your notes, adding any missing information.
4. Repeat: Continue the process for each subsequent section until you have read, digested, and taken notes on all your assigned reading.

During Class: Bring your notes to every class session

• Add insights from lectures and discussions
• Note connections to examples
• Ask questions about concepts that need clarification

After Class: Revisit and Reflect

• Spend a few minutes reviewing your notes after class while it’s still fresh.
• Summarize main takeaways in your own words to strengthen your understanding.

These guided notes are Google Docs. To make a copy in your own Google Drive, click the link, and sign in to your own Google account. Then select the “File” drop down menu and click “Make a copy.” If you do not have a Google account, click the link, select the “File” drop down menu and click “Download” in your preferred file format.

Module 1 Guided Notes: Basic Functions and Graphs

Module 2 Guided Notes: More Basic Functions and Graphs

Module 3 Guided Notes: Understanding Limits

Module 4 Guided Notes: Limits and Continuity

Module 5 Guided Notes: Introduction to Derivatives

Module 6 Guided Notes: Techniques for Differentiation

Module 7 Guided Notes: Analytical Applications of Derivatives

Module 8 Guided Notes: Contextual Applications of Derivatives

Module 9 Guided Notes: Introduction to Integration

Module 10 Guided Notes: Techniques for Integration

Module 11 Guided Notes: Applications of Integration

Module 12 Guided Notes: Physical Applications of Integration

Module 13 Guided Notes: Integration of Exponential, Logarithmic, and Hyperbolic Functions

Helpful Links

Links to external websites if you need some additional review of any concepts.

• https://www.wolframalpha.com/
• https://www.khanacademy.org/math
• https://www.purplemath.com/
• https://www.minutemathtutor.com/
• http://patrickjmt.com/
• http://www.mathispower4u.com/

Graphing Calculators

Links to online graphing calculators that may be helpful to use during this course.

• https://www.desmos.com/calculator
• https://www.meta-calculator.com/
• https://www.geogebra.org/graphing?lang=en
• https://www.graphcalc.com/online-graphing-calculator/
• https://www.numworks.com/simulator/

Appendices

• Appendix A: Table of Integrals
• Appendix B: Table of Derivatives
• Appendix C: Precalculus Formulas

Alphabetical Glossary