Proofs by induction
A 2 hour free course on proofs by induction
This is a two hour long course about mathematical proofs by induction.
Prerequisites
High-school maths, mainly arithmetic.
Curriculum
This course concentrates on just one topic, proofs by induction, which is usually introduced in high-school and then comes back in various courses on college or university level.
Proofs by induction
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A detailed list of the lectures can be found in a PDF outline by clicking this panel.
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Course Objectives & Outcomes
How to conduct proofs by induction and in what circumstances we should use them.
Prove (by induction) some statements about divisibility of natural numbers.
Prove (by induction) some simple inequalities holding for natural numbers.
Prove (by induction) some formulas holding for natural numbers.
Prove (by induction) explicit formulas for sequences defined in a recursive way.
You will also get information about more advanced examples of proofs by induction.
You will get a short explanation how to use the symbols Sigma and Pi for sums and products.
Reviews (40)
Rajeesh J.
Udemy student
The first section itself started out really awesome. I am looking forward to more proofs by induction. Thank you for making this course.
Simon B.
Udemy student
Fantastic course.
Andrés E.
Udemy student
Great course, so helpful.
Professor Hania Uscka-Wehlou's courses are always worthwhile.
Professor Hania Uscka-Wehlou's courses are always worthwhile.
Ahmad S.
Udemy student
I wish i had known your content when i was in the university, you provide very high quality mathematics content explained in details!.
Thank you very much and i'm really willing in near future to buy other courses (discrete & linear algebra).
Recommended!.
Thank you very much and i'm really willing in near future to buy other courses (discrete & linear algebra).
Recommended!.
Mykyta T.
Udemy student
AMAZING!!!! SUCH CLEARANCE IN EXPLANATION AND ESPECIALLY NOTATION!!! AND NOT FAST SPEED OF TALKING!!!! I'M SHOCKED (in a good way) really rare characteristics for a teacher(especially math teacher). THANK YOU!(sorry for caps)
Robert G.
Udemy student
Hi, I really appreciate your courses in mathematics. You're wonderfull.
Carlos S.
Udemy student
I love Professor Hania's courses, and this one is not different. Awesome! Thank you, Professor!
Norman L.
Udemy student
Best explanation of mathematical induction that I've seen.
Roger G.
Udemy student
Great introduction to proof by induction and comes with a variety of different cases for which induction can be used. Definitely recommend this course just like all the other courses from this professor!
Peter S.
Udemy student
I have to give five stars which equates to "above expectations" even though, for Hania, above expectations is standard which means that is what I was expecting. If you see what I mean. In this crucial course you will be taken through everything you need to know, from definition of what p.b.i actually is, through the mechanics of it, to worked examples. Fantastic.
Bob M.
Udemy student
This was a very helpful course for someone who struggles a little with proofs. The Professor is a superb teacher and explains all the material in great depth. I can wholeheartedly recommend this course.
Jose A.
Udemy student
Best
German M.
Udemy student
Very clear, great Teacher!
SHIVA M.
Udemy student
She explains with a well preparation in a very expressive manner, and points out even the details like implication symbol and notations which is a very important quality most teachers of math happen to overlook but has a huge impact on transmission.
She also understands the importance of intuition and origin of a concept, to enhance the idea. This particular quality I expect from many teachers, but rarely come across the ones who values it.
She also understands the importance of intuition and origin of a concept, to enhance the idea. This particular quality I expect from many teachers, but rarely come across the ones who values it.
Bill M.
Udemy student
Good little course to learn the instructors teaching style while gaining a foundation for the larger courses. Nice job!
Carlos
Udemy student
Really felt like I got a lot from a small course. Nice, thorough explanation. Looking to see what else the professor offers!
Justina G.
Udemy student
Excellent resource for schools, tutors, aids and algebra enthusiasts.
Tim H.
Udemy student
I always enjoy her very thorough and well explained courses. Thanks!!
Eduardo F.
Udemy student
Increíble curso, por fin pude entender las demostraciones por inducción, cien por ciento recomendado.Machine translation: Amazing course—I was finally able to understand proofs by induction. I highly recommend it.
Mohammad U.
Udemy student
Great explanation
Debbie C.
Udemy student
Very clear and interesting. Videography is great. I like the personal touch of seeing the instructor as she presents the material.
Rajesh P.
Udemy student
Love the simplicity in the explanations.
Pankaj S.
Udemy student
Excellent !!
Francesco M.
Udemy student
Probably one of the best teachers on Udemy!
Antonio R.
Udemy student
Another magnificent course that motivates me to continue learning!
Carlene F.
Udemy student
Prove Things by the principle of induction is essential in many fields of Mathematics and Physics. I really enjoyed the presentation of the concept and the examples throughout the course.
RLH
Udemy student
Although I didn’t completely understand some of the steps that were done in some of the proofs, I feel that I have a better understanding about how proofs by mathematical induction works.
Matt F.
Udemy student
Simple and short course, but we’ll organized. Thank you, Hania.
Adolfo R.
Udemy student
Perfect as always! :3
Franklin C.
Udemy student
Yea...at least I now understand the rudiments of mathematical induction.
Thank you so much ma
.
Thank you so much ma
.
Mark P.
Udemy student
Important material presented clearly.
Min K.
Udemy student
Really good teacher! I highly recommend her and her other courses as well.
Tatjana K.
Udemy student
Like it
Astrulfio D.
Udemy student
Excellent method, quite detailed explanations.
Maciej K.
Udemy student
Clear explanations, good examples.
Nicholas N.
Udemy student
YOU'RE THE BEST ! I haven't had an Instructor like you so detailed, knowledgeable with lots of follow though in her work !
Bruno P.
Udemy student
Very.clear.I'm.very.grateful!
Gerald R.
Udemy student
Outstanding presentation!!! Opened my eyes and understanding of proof by mathematical induction....
Wanda W.
Udemy student
Thank you for this nice short course. Very good, clearly explained. Hania keeps a good balance between theory and practice. This is my 9th course by Hania and Martin that I've completed and I can recommend all of them.
Andrzej P.
Udemy student
Nice short series of lectures. The lecturer is fantastic as always, always high quality courses and good explanations.