Calculus 3, part 2 of 2

A total of 44.5 hours of Video in 200 lectures

This is an academic level course for university and college engineering. Due to its size, it is divided into two parts.

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Level - Intermediate

You need to be familiar with Calculus 1 and Calculus 2 and some Linear Algebra before you can make full use of this course. You should also have worked through part 1 of this course beforehand.

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Curriculum

Make sure that you check with your professor what parts of the course you will need for your exam. Such things vary from country to country, from university to university, and they can even vary from year to year at the same university.

Calculus 3, part 2 of 2

Outline part 2

A detailed list of all the lectures in part 2 of the course, including which theorems will be discussed and which problems will be solved. If you are looking for a particular kind of problem or a particular concept, this is where you should look first.

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Course Objectives & Outcomes for part 2

How to solve problems in multivariable calculus and vector calculus (illustrated with more than 150 solved problems) and why these methods work.

Direct and inverse substitutions for multiple integrals with many examples; Fubini’s theorem for various types of domains.

Green’s, Stokes’ and Gauss’ theorems.

Surfaces as graphs of functions of two variables and parametric surfaces; normal vectors and orientation of surfaces; boundary of a surface.

7 types of integrals: double, double improper, and triple integrals; line integrals and surface integrals of functions and of vector fields.

Conservative vector fields and their potentials; fundamental theorem for conservative vector fields.

Gradient, curl and divergence.

Five methods of computing line integrals of vector fields and four methods of computing surface integrals of vector fields (flux integrals).

Bård Berstad K.

Udemy student

I have purchased both part 1 and part 2, and strongly recommend it if you do not like the way your university is teaching the subject, or if you want to get complete understanding of the subject, in WAY less time. This is probably the best investment I have made in my time in University! Hania is the best!

Matthew T.

Udemy student

When I complete this course I will be on another level.

Anvarbek A.

Udemy student

Everything is organized well.

Robert G.

Udemy student

Thank you professor, you are an amazing teacher. Now it is on to the series of linear algebra courses!

Kim N.

Udemy student

Very brief course, but It covered enough information I need. Thank you very much.

Francis D.

Udemy student

Definitely an amazing course, quite eye-opening. Professor Hania teaches wonderfully and always explains the topics clearly.

Roman

Udemy student

Great in-depth and consistent course. Gives a lot of insights to vector calculus. Hania, thanks a lot for what you do!

Sayan D.

Udemy student

Great Course! Thanks Professor.

Alan A.

Udemy student

This course was more than beautiful. Extremely detailed knowledge and throughout explanations on a difficult topic exactly what you won’t find on youtube. worth every penny!

And huge thanks to this course I passed my exam with flying colors.

much appreciated

Almir B.

Udemy student

What can I say, she´s the best math teacher I have had.

Daniel S.

Udemy student

I’m especially appreciative of the excellent use of images of curves and surfaces that are often difficult to visualise. I applaud Professor Hania Uscka-Wehlou’s careful preparation of the computational steps for students who may not be fluent in the mechanics of these steps. Actually, this feature was a good exposure for me, as well, as I tend to rush the algebraic steps in completing exercises. The attention to justification of steps is also a good discipline for me to have seen. Not easy for me, perhaps, since I have developed bad habits in derivation over the years, but this may help me slow down as I work through new exercises in the future. Top marks for thoroughness in covering the syllabus, and an always-pleasant and patient manner of addressing students, both in lecture and in the discussion threads. This course is far superior to others on the same topics I have examined at Udemy. This is the one to choose! Well done!

José Miguel F.

Udemy student

Very good course!!. So far I’ve completed 90% of the content and I’ve learned a lot from it. The course itself is very well structured and the instructor gives cristal-clear explanations in every chapter, with lots of examples done by her and some others type try-yourself. I have 35 years of experience working as an engineer and I have not needed to solve any integral in my professional life, nor the simplest one. But I like maths from my years on college, that’s the reason for me to choose to follow this course. I would like to thank Ms. Uscka-Wehlou for her effort in convey us clear explanations. I wish she could read this.

Kirtan S.

Udemy student

I like the course so much. It like the teaching style of mam, the presentation, the way mam solves questions on Ipad and also course design. Best course for Mutlivariable Calculus.

Bernard X.

Udemy student

parfait. Je pense avoir beaucoup appris avec beaucoup de plaisir. Merci

J M.

Udemy student

This course is fantastic. It is easily worth 2–3x the asking price.

The lecturer and editor take care to present concepts in an understandable way. The material is typeset well and utilizes color effectively. In addition to the extensive examples and proofs, the authors provide further notes on the technical/rigorous details for those who need them.

This Udemy course has greatly enhanced my university class on the same topic. Thank you to the authors. Your excellent content has given me confidence for my exams.

Somesh C.

Udemy student

I am so grateful for this course. Hania Uscka-Wehlou has taken so much effort to create such an extensive course on Calc 3. I have already completed Calc 3 part 1 course and she covers every point in details, going right from the pre-reqs to the advanced concepts. She is an excellent instructor.

Wanda W.

Udemy student

I have completed the course, and I highly recommend it to all who want to study Calculus 3!

Christer Oscar K.

Lecturer in mathematics

This course is of the utmost quality in all respects. First of all the global organization of the topics. It is very well done and enables the student to rapidly grasp the subjects treated. Next the presentation of the various parts, which means that a student who do not need to study everything can make a well-based choice. Third, the presentation is perfect in all its details. And there is indeed a lot to think about in such a course, since it is rather difficult. The contents is very rich and well chosen—Hania has performed a highly non-trivial task. Finally, the language, the tone in addressing the students, is fine and most friendly.

Richard B.

Lecturer in mathematics

Another excellent course from Hania. The quality of exposition does not get better. The devil is in the details, they say, and Hania again proves them right: work out the details, and things fall into place. The material is classical, central for physics, engineering, and many branches of applied mathematics. But it is technical, hard to assimilate in standard classroom setting. Hania’s course offers a neat way out, not only effective, but also, I think, enjoyable.

Mohammad Reza F.

Udemy student

This is the best course on this topic.

Maciej K.

Udemy student

Excellent course! Plenty of solved problems, which are very easy to find in a very detailed list. Colourful illustrations not only make the concepts easier to understand, but also make the movies nicer to watch. The teacher’s pronunciation is very clear: important for us who have English as second language. I appreciate it that she doesn’t speak too quickly and that she explains every step. This makes this very hard maths course possible to learn.

Joanna U.

Udemy student

Great course. Covers all the topics as Calculus 3 at the university, but the explanations are clear and understandable with many illustrations and examples. Lots of solved problems is a great help in preparations to the final exams. Highly recommended.

Damian K.

Udemy student

Great course, very well structured topic-wise.

Concepts are explained in a clear and detailed way, using all the right tools to make online learning efficient.

There is a good balance of theory and practice, and lots of examples with step-by-step solutions.

Also approachable if you feel like you could do with a recap of some topics before going into multivariable/vector calculus.

Jacek K.

Udemy student

Great! Very clear explanation, easy English (important for non-native speakers). Recommended.

Tetyana M.

Lecturer mathematics

I have been teaching university mathematics in applications for many years. Hania’s course is impressive. It lays out the technical concepts clearly and systematically. It illustrates ideas with carefully chosen examples. The large number of solved problems not only helps follow the theory but also effectively prepares for any standard exam in the subject.

Andrzej P.

Udemy student

A fantastic and thorough series. It is exactly what I needed to continue to learn Calculus! All concepts are clearly explained and there are many worked out examples that are easy to follow. I really like that the videos provide intuition and motivation for the topics that are being discussed. The quality of the sound and the recording is great.