Should I Relearn Calculus Before Studying ODEs?

In summary, If you have not studied calculus in a few years, you may want to refresh your memory with basic differential calculus before tackling differential equations. If you are a computer science major, you may be interested in picking a different book to learn differential equations from.
  • #1
kvkenyon
21
0
I have studied both single variable and multivariable calculus. I was younger and spent hardly anytime on them but did fairly well at the university level. I regret now that I did not master the subjects as I have an intense passion to learn ODE's. Do you think I should start studying Tenenbaum/Pollard without re-learning calculus? I feel that if I get stuck on some parts that require tricky integration or some other concept I can relearn it then. I understand Calculus. But my technique is rusty and there are holes in my knowledge. What do you suggest? Should I start delving into diff equations?
 
Physics news on Phys.org
  • #2
You haven't said how long it has been since your last calculus class. If it has been several years since your last course, it would be advisable to refresh your knowledge of basic calculus, particularly differential calculus, before forging ahead into differential equations.
 
  • #3
My last calculus course was multivariate and it was 2 years ago.
 
  • #4
I am rather surprised that you took a multivariable calculus course and were not required to take at least an ODE course. How did you escape?
 
  • #5
I am working on a BS in Computer Science. Differential Equations isn't a required course. I only needed to take all of calculus. Linear Algebra I am taking this semester. Then I can choose another math course.
 
  • #6
As long as you remember the chain rule and integrals and derivatives of trig functions you should be okay.
I suspect that you will have to go back and review calculus from time to time, but everyone does.

I might suggest picking a different book though. I love Tenenbaum/Pollard. It's a fantastic reference. It covers a lot. But I wouldn't recommend it to someone trying to learn differential equations. I learned using Boyce and DiPrima. Its a pretty standard text for introductory courses. You can probably find a used old edition online pretty cheep.
 
  • #7
kvkenyon said:
What do you suggest?

Hang out in a Calculus forum. See what they're working on and study the problems and solutions. Every time you run into something you're not good at and is at an introductory Calculus level (4 semesters of Calculus I mean), refer to a Calculus textbook on the subject and review that section and do some of the problems. Do that for six months and I think you'll do well in a DE class.
 
Last edited:
  • #8
Sounds good thank you for all of the advice. I'll look into some other books and start hanging out in the calc forum.
 

FAQ: Should I Relearn Calculus Before Studying ODEs?

What is the purpose of learning Calculus for ODE's?

Calculus is a branch of mathematics that deals with the study of rates of change and accumulation. It provides the necessary tools and techniques for solving differential equations, which are essential for understanding and predicting the behavior of systems in various fields such as physics, engineering, and economics.

What are the key concepts in Calculus that are useful for solving ODE's?

Some of the key concepts in Calculus that are important for solving ODE's include derivatives, integrals, limits, and series. These concepts are used to model and analyze the behavior of systems over time, and they allow us to make predictions and solve problems in a wide range of fields.

How can I apply Calculus knowledge to solve ODE's?

To solve ODE's, you need to have a strong understanding of the fundamental principles of Calculus and how they can be applied to differential equations. This involves using techniques such as separation of variables, substitution, and integrating factors to manipulate and solve the equations.

What are some real-life applications of Calculus for ODE's?

Calculus for ODE's has numerous real-life applications, some of which include predicting population growth, analyzing motion and forces in physics, modeling chemical reactions, and understanding the behavior of electrical circuits. It is also used in economic models, such as predicting stock market trends and analyzing supply and demand.

Is it necessary to have a strong foundation in Calculus to understand ODE's?

While having a strong foundation in Calculus is not necessarily required to understand ODE's, it is highly recommended. ODE's involve advanced mathematical concepts that build upon the principles of Calculus, so having a solid understanding of Calculus will make it easier to grasp and solve ODE's effectively.

Similar threads

Calculus What Is the Best Calculus Book for Self-Learners?
Replies
17
Views
1K
Studying Reading "How to Prove It" right before taking Calculus I -- Question
Replies
9
Views
2K
What do I need to know before studying PDE?
Replies
10
Views
8K
Studying Ready to start Calculus (I think), but unsure where to start
Replies
29
Views
2K
Calculus What book should I get for multivariable calculus after Stewart?
Replies
9
Views
3K
Studying Should I read Introduction to Calculus and Analysis by Courant?
Replies
3
Views
1K
Studying Should I start with a basic physics book without calculus?
2
Replies
45
Views
6K
Studying Do I need to learn more math as a physics autodidact?
Replies
3
Views
1K
Studying Should I first study the math or math and physics at the same time?
Replies
9
Views
3K
Studying What to do in a gap year to prepare for a Physics + Math degree
Replies
15
Views
2K

Hot Threads

Recent Insights

Back
Top