Mit opencourseware math calculus
That being said, I was a bit dissatisfied with the discussion on the two fundamental theorems of Calculus.
This part also had a great discussion on how differential and integral calculus are related. In general, students are encouraged to explore the various branches of mathematics, both pure and applied.
I also felt the topic of Uniform Convergence to be way beyond my comprehension level. Herbert Gross had a jovial air around him and occasionally delved into philosophical discussions which made listening to the lectures more interesting.
Lecture 5 in Part 2 on Implicit Differentiation was the same as the one on Lecture 4.
Part 2 forms the crux of the course and covers differentiation. Online courses, especially the ones offered on OCW, are very-well made.
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This is normally done during the junior year or the first semester of the senior year. I also felt the topic of Uniform Convergence to be way beyond my comprehension level. Here, the discussion of limits effortlessly leads to the derivation of the formula for instantaneous speed and hence differentiation. He also had an extensive set of supplementary notes and huge amount of problems with solutions. Part 4 discussed about integration and how it can be used to calculate 2 and 3 dimensional areas and volumes. In conclusion, this is a great , fast paced course on Calculus that emphasizes geometric intuition of the major ideas in Calculus. But I would suggest you to still take a look as it , in a sense, sets the stage for the entire course.
Sort Courses by. In fact, Arlington had a heavy snow this week and my university had to be closed for the entire week.
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To pursue those routes, consider going back to university. Like all universities there are some good professors and some bad professors, but I think the quality on OCW is better-than-average. Overall, it is a great course and acted as a fast paced refresher for those who had already taken Calculus. The course starts with the absolute basic ideas of sets, functions, induction and other stuff. Applied Category Theory An undergraduate degree in mathematics provides an excellent basis for graduate work in mathematics or computer science, or for employment in such mathematics-related fields as systems analysis, operations research, or actuarial science. Part 3 had some nice discussion on Circular functions. If you're looking to learn applicational mathematics multivariable calculus, differential equations, probability, etc. Here, the discussion of limits effortlessly leads to the derivation of the formula for instantaneous speed and hence differentiation. That being said, I was a bit dissatisfied with the discussion on the two fundamental theorems of Calculus. There are three undergraduate programs that lead to the degree Bachelor's of Science in Mathematics: a General Mathematics Option, an Applied Mathematics Option for those who wish to specialize in that aspect of mathematics, and a Theoretical Mathematics Option for those who expect to pursue graduate work in pure mathematics. I completed around 16 lectures in 3 days and was able to finish it ahead of my target date of Feb If you are still attending your university, I would also immediately get into contact with mathematics professors and ask for textbook recommendations, as well as find out their office hours. May be I should revisit the lecture notes for the same when I get some free time. Online courses, especially the ones offered on OCW, are very-well made.
based on 44 review