I want to learn calculus on a budget

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SUMMARY

This discussion centers on recommendations for learning Calculus on a budget, particularly for individuals with a background in biology. Users suggest various online resources, including Coursera courses from the University of Pennsylvania and free platforms like Khan Academy and Math is Power 4 U. Additionally, they recommend specific textbooks such as "Thomas Calculus with Analytic Geometry" and "Calculus for the Life Sciences" for a more tailored approach. The consensus emphasizes the importance of comprehensive content and practice in learning Calculus effectively.

PREREQUISITES
  • Basic understanding of Pre-Calculus concepts
  • Familiarity with online learning platforms such as Coursera and Udemy
  • Ability to engage with educational videos and textbooks
  • Interest in applying Calculus to life sciences
NEXT STEPS
  • Explore Coursera's Calculus courses, particularly from the University of Pennsylvania
  • Utilize Khan Academy and Math is Power 4 U for free video resources
  • Purchase or download "Thomas Calculus with Analytic Geometry" for structured learning
  • Research "Calculus for the Life Sciences" textbooks for a focused approach
USEFUL FOR

Students in biology or related fields, self-learners interested in mathematics, and anyone seeking affordable resources to learn Calculus comprehensively.

  • #31
MidgetDwarf said:
Just wanted to make a slight correction. The edition of Thomas Calculus with Analytic Geometry is the third edition. I believed I had typed it above, but I didn't, and I can no longer edit the above post.

Calculus With Analytic Geometry is different than a regular Calculus 1, 2, or ven 3 book. Yes?
If not, what is the difference?
 
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  • #32
nycmathguy said:
Calculus With Analytic Geometry is different than a regular Calculus 1, 2, or ven 3 book. Yes?
If not, what is the difference?
Concise, straight to the point, and clear. It is not cluttered by many diagrams on a page. Each diagram is memorable, and conveys the information in a lucid manner. Nice explanation of the Theorem of Pappus, Shell-Method. Uses analytic geometry to give an explanation of how these ideas make sense, and fit together. Gives a person an intuitive explanation of the calculus, something the run of the mill calculus books do not..Here is another example. The 3rd edition of Thomas goes through the derivation of trig identities. Something Stewart does now. Which can be useful when taking a course in ordinary differential equations, but you don't remember the common trig identities. However, you learned a simple derivation of them...
 
  • #33
there's usually two levels of Calculus for college
- 1,2,3 version for 1st year college students
- Advanced Calculus for complex analysis for science and engineering students.
 
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  • #34
nycmathguy said:
I have a David Cohen precalculus book.

I have a Ron Larson precalculus book.

I have a Michael Sullivan & Kathleen Miranda.
The Ron Larson book is (by experience) very good. I am unfamiliar with any of the others you listed. I have used the/a Larson precalculus book for my own review study.
 
  • #35
nycmathguy said:
Calculus With Analytic Geometry is different than a regular Calculus 1, 2, or ven 3 book. Yes?
If not, what is the difference?
No. Not typically. What is any particular Calculus book omitting?

jedishrfu in post #33 has a clearer understanding. If in doubt, check that posting.
 
  • #37
jedishrfu said:
Heres an Advanced Calculus from Harvard it looks a bit different the Kaplan book I used but things change and so do books

http://people.math.harvard.edu/~shlomo/docs/Advanced_Calculus.pdf

in my Adv Calculus we spent a lot of time Calculus of a Complex variable but I see in the Kaplan table of contents there are chapters similar to the Harvard book.

I am a novice calculus self-study enthusiast. Looking through an advanced calculus textbook will confuse me more.
 
  • #38
You asked about their differences. We didn't tell you to go out and study the advanced stuff.

You need to now walk the walk and stop talking about it. So far, you've a gotten a lot of good suggestions to investigate and then decide a course of action for yourself. Continuing to talk about what you'd like to do is no longer productive.
 
  • #39
Well I guess we have reached the point of closing this thread now. We have provded many resources for the OP and so its a good time to close it.

Thank you all for contributing here.

Jedi
 

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