Need Recommendation(s) for Calc Book(s)

[WalterND14]

Hi,
I'm a second-year physics major, and I'm really being held back by a lack of expertise in calculus.
The problem I am having is that I took AP Calc A, B and C in high school during the latter half of my junior year and my entire senior year. I have now either forgotten what I learned (not as much the problem) or my teacher simply skipped or skimmed the material as it was not important for the AP. I got a 5 on the AP, and I was able to skip Calc 1 and 2 in college, which now in hindsight was a mistake.
The biggest weakness for me (I think) is differential equations. Specifically, with problems involving resistive forces. We also completely skipped hyperbolic trig functions. This semester, my lack of expertise in intermediate mechanics is hurting, and last semester it made E&M difficult as well.

I really need a textbook (or some sort of review book - maybe Schaum's?) that can help me become better at Calculus. I'm pretty solid on Calc 3 as I took that at my University. I need help more with single variable calculus, which would be the first two semesters of college calculus. Any recommendations would be really appreciated as I love physics but the math might cause me to fail out of the major.

Oh, and having the solution manual would really help so that I could check my answers and work.

Thanks!
-Walter

 

[jvicens]

Hi Walter,

Thank you for sharing your concerns about your struggle with calculus. As a fellow scientist, I understand the importance of a strong foundation in mathematics for success in the field of physics.

First and foremost, I want to assure you that it is never too late to brush up on your calculus skills. It is understandable that you may have forgotten some of the material from high school, especially since it has been a few years. However, with dedication and the right resources, you can definitely improve your understanding and proficiency in calculus.

In terms of textbooks, I would highly recommend "Calculus" by James Stewart. This textbook is widely used in universities and covers all the topics you mentioned, including differential equations and resistive forces. It also has a companion solution manual that you can purchase separately.

Another great resource is Khan Academy, which offers free online videos and practice problems for calculus. They have a specific section on differential equations and also cover hyperbolic trig functions.

Lastly, I would also suggest reaching out to your professors or a tutor for additional help and guidance. They can provide personalized assistance and help clarify any concepts that you may be struggling with.

I hope these suggestions help and wish you the best of luck in your studies. Remember, with hard work and determination, you can overcome any challenges in your academic journey. Keep pursuing your passion for physics and don't let the math discourage you.