Question

Suggestion Please!!!

I am studying the Multivariable Calculus from MIT Open Courseware lectures, yes the course 18.02.. and I feel like not understanding the topics fully.

can anyone suggest me some better course on Multivariable Calculus. I googled and saw that UC Berkeley has a course on that. Is that better than that of MIT?

Answer 1

I haven't looked at Berkeley's materials but I found the MIT course fantastic. Do you have a textbook with the material that might help support the ideas presented in the lectures? Which topics are you struggling with?

Answer 2

I don't have books, basically I don't have any at the place where I work and live now. And I don't have money to order them from internet. I did 18.01 without books and that was a sail for me. But, 18.02 is a bit tough for me. After the second exam, I start losing the grasp with the "Denis Aurorux's " lectures...

Answer 3

Well, another lecturer's approach might help then. I don't have any to recommend, as I stuck with the 18.02 stuff and a text but I'm sure the Berkeley one's are top quality as well.

Answer 4

Denis isn't the best teacher to teach this material.. He seems confused inside..

@eseidl please help me with some pdf version of study materials or books if you have any.

Answer 5

will theses topics help you??



1. Functions, Limits, and Continuity
A review of the basics of functions is given. Students use linear approximations to study the limit process, before a more formal treatment of limits is given.
2. Derivatives
Students explore instantaneous rate of change, and the relationship between continuity and differentiability. The Chain Rule and implicit differentiation are reviewed.
3. Applications of Derivatives
Students gain practice with using the derivatives in related rates problems. Additional topics include The First Derivative Test, The Second Derivative Test, limits at infinity, optimization, and approximation errors.
4. Integration
Topics in this chapter include: indefinite integrals calculus, initial value problems, definite integrals, the Fundamental Theorem of Calculus, integration by substitution, and numerical integration.
5. Applications of Definite Integrals
This chapter includes applications of the definite integral, such as calculating areas between two curves, volumes, length of curves, and other real-world applications in physics and statistics.
6. Transcendental Functions
This chapter includes differentiation and integration of logarithmic and exponential functions, exponential growth and decay, derivatives and integrals involving inverse trigonometric functions, and L’Hospital’s Rule.
7. Integration Techniques
Topics in this chapter include: integration by substitution, integration by parts, integration by partial fractions, trigonometric integrals, trigonometric substitutions, and improper integrals.
8. Infinite Series
This chapter introduces the study of sequences and infinite series. The properties presented describe the behavior of a sequence or series, including whether a sequence approaches a number or an infinite series adds to a number.

Answer 6

These are the topics I have already learned to a great extent... I was talking about Multi-variable calculus now... @hal_stirrup...

Answer 7

With all the available online course material, there is nothing like a traditional hardback textbook. We have a used book store downtown that sells textbooks for $1 or $2. There are other thrift stores that also carry books.