How to Relearn Calculus and Solidify Your Mathematical Foundations

If you've forgotten a lot of calculus and are contemplating picking it up again, you're in for a valuable and rewarding journey. Whether you're a returning student, a professional needing to brush up, or someone simply interested in relearning the subject, there are a variety of effective strategies and resources available to help you succeed.

Strategies for Relearning Calculus

The first step is to identify the right resources. Whether you're working with an old text book, attending local college classes, or accessing free online courses, there are many paths to relearning calculus. Here are some effective strategies:

Start with a Textbook

One of the most effective ways to get back into calculus is to choose an old textbook and work through it. This approach not only helps you with the methods and theories but also provides a structured learning path. You can often find affordable used books online just by doing a simple search for "cheap calculus textbooks."

Enroll in Free Online Courses

Another excellent option is to utilize the vast array of free online courses. Websites like MIT OpenCourseWare offer entire calculus courses, complete with syllabi, video lectures, quizzes, and tests. This is a great way to learn at your own pace and get a comprehensive understanding of the subject.

Consider Community College Classes

Community colleges often offer basic and advanced mathematics courses. You could also sit in on classes as a guest student if needed. This option provides a structured learning environment and the support of an experienced instructor.

Hands-On Learning with Technology

Technology is a powerful tool in relearning calculus. Start by getting a good graphing calculator and learn to use it effectively. There are several calculators available, ranging from basic models to sophisticated scientific ones. Familiarity with a graphing calculator can significantly enhance your understanding and problem-solving skills.

Check Your Answers Differently

It is crucial to verify your answers. One effective method is to solve problems using a different approach than the one you used initially. This not only helps confirm your understanding but also deepens your confidence in your problem-solving skills. Your graphing calculator can be a valuable tool in this process.

Explore YouTube Channels

There are many excellent YouTube channels that can help you relearn calculus in an engaging and interactive way. Some of my favorites include:

Additional Resources for Success

There are also numerous resources available for self-study. Websites like Khan Academy offer free lessons and practice problems that can help you quickly regain your footing. Amazon and other online booksellers have a wide selection of textbooks and “teach-yourself” books that can be purchased at reasonable prices. These resources can help you reinforce your knowledge and address any gaps in your understanding.

Consider Tutoring

If you find that self-study isn't entirely effective, you might consider becoming a tutor yourself. Finding a job as a tutor at a community college or as a private tutor can be a rewarding way to relearn calculus while also helping others. It not only reinforces your knowledge but also builds your confidence as you explain concepts to others.

Key Tips for Success

To truly master calculus, it's essential to put in the time and effort. Here are some key tips:

Work Thoroughly and Read Thoroughly

Get a few good textbooks and start from the basics. Work through concepts like algebra and geometry first, as they form the foundation of calculus. Read each chapter and section multiple times, and make sure you understand the example exercises. Try to replicate every exercise on your own before moving on to the next one. Even the even-numbered exercises with no answers in the appendix have valuable practice and learning potential.

Take Advantage of Technology

Utilize modern tools like Desmos, GeoGebra, and Wolfram Alpha. These platforms offer interactive visualizations and step-by-step solutions that can supplement your learning from books. Don't overlook the wealth of instructional videos available on YouTube to help reinforce your understanding.

Learn at Your Own Pace

It's important to learn at your own pace. Whether you are an autodidact or a student taking courses at a community college, don't let any teacher rush you or slow you down. Thoroughness and quality of learning should always take precedence over speed.

Final Thoughts

If you're serious about relearning calculus, consider answering questions on platforms like Quora. This can provide you with additional practice and exposure to different problem-solving techniques. Even if you're not a frequent contributor, simply working through and explaining problems can be incredibly beneficial.

Relearning calculus isn't just about regaining knowledge; it's also about personal growth and the joy of discovery. With the right resources and attitude, you can regain your confidence and deepen your understanding of this fascinating subject.