A Comprehensive Guide to Combinatorics

Easily master combinatorics through nine succinct videos

4.65 (79 reviews)
Udemy
platform
English
language
Math
category
instructor
A Comprehensive Guide to Combinatorics
3,357
students
1.5 hours
content
Aug 2019
last update
FREE
regular price

What you will learn

Master the fundamental counting principle

Derive the formulas for permutations and combinations and learn the differences between these two types of arrangements

Discuss special types of arrangements (Combinations with repetitions, Distinguishable and circular permutations)

Discover Pascal's Triangle and its numerous applications

Learn the laws of probability

Fully understand binomial experiments

Learn how to calculate expected value

Apply your new knowledge by solving interesting problems

Why take this course?

Welcome to a “Comprehensive Guide to Combinatorics.”

My name is Deyan Kassev and I am a high school student from the United States. For as long as I can remember, I have been fascinated with mathematics. I have participated in countless math competitions including Math Olympiad, AMC 8 and 10, Mathcounts, and various regional math leagues. I have also tutored aspiring middle school mathletes. Through my competition career I have come to find that many of the most interesting and challenging problems involve combinatorics, a field of mathematics concerned with creating, counting, analyzing, and optimizing arrangements.

Whether you are a mathlete looking to enhance your competition skills or a high school student preparing for an Algebra II test, I have the perfect solution for you. I have complied a class or nine videos that, together, form a complete and well-structured guide to combinatorics. While comprehensive, my series of videos, is concise and time friendly. It is accompanied by relevant examples that will augment your learning experience. I go over clever ways to derive and remember counting concepts and discuss common problem types that appear throughout competition math and the high school curriculum. All information is presented in an easy to follow visual manner.

Over the course of my nine videos, students will cover concepts ranging from permutations and combinations to Pascal’s triangle, exploring the many interesting topics within the field of combinatorics. After completing my course, you will be a master at combinatorics and will be ready to confidently tackle any counting problem that you encounter.

Screenshots

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Our review

--- ### **Overall Course Rating:** 4.65/5 --- ### **Course Review Summary:** **Pros:** - **Expert Instructor:** Deyan Kassev demonstrates a deep knowledge of permutation and combinatorics, making the subject accessible and engaging for learners. - **Clear and Engaging Content:** The course material is presented with clarity and precision, ensuring that complex concepts are easy to follow. - **Practical Examples:** The use of practical examples helps in understanding the abstract principles of permutation and combinatorics. - **High Production Quality:** Videos are well-produced, with a voice that is well-pitched for clarity. - **Educational Value:** The course serves as a solid foundation for students interested in combinatorics or those requiring it for their CE degree. - **Enjoyable Learning Experience:** The course is not only informative but also enjoyable, making the study of combinatorics a delight. **Cons:** - **(Minor) Language Considerations:** While the instructor's explanation is clear, there may be minor language nuances that non-native English speakers might need to adapt to. - **Course Intensity:** The course is concise and covers a lot of material in a short amount of time, which may require a significant time commitment from students to fully grasp all concepts. --- ### **Detailed Breakdown:** **Content and Delivery:** - The course content is well-prepared, with a focus on practical applications that make the subject matter relatable and understandable for students. - Deyan Kassev's presentation style is commendable; he manages to convey complex ideas in a simple and engaging manner. **Instructional Methods:** - The use of concrete examples throughout the course helps students visualize abstract concepts, which is a strong point of this course. - The instructor's ability to simplify and clarify difficult topics is notable and effective. **Student Experience:** - Students have reported finding the course material more understandable than their own college courses, indicating that the teaching methods are highly effective. - The course is praised for its suitability for individuals seeking a basic understanding of combinatorics. **Instructor's Expertise and Performance:** - Deyan Kassev is recognized as knowledgeable in the field of combinatorics, offering well-prepared content that is both accurate and insightful. - The instructor's performance is consistently high, with a voice that is easy to listen to and clear in enunciation. **Student Engagement:** - Students are highly engaged with the material, with many expressing eagerness to learn more from the instructor. - The course design effectively encourages students to continue learning and exploring combinatorics beyond the scope of this particular course. --- ### **Testimonials:** - "The course is a very refreshing way of looking at permutation and combinatorics... The presenter is well knowledgeable about the subject matter and uses good and practical examples to clarify the concepts involved." - "Thank you for this Combinatorics course. The lecture on Pascal's Triangle is awesome. Deyan Kassev is a great teacher who prepared the matter well, and his examples are easy to follow. I look forward to his other courses." - "This course is a good basic application on the subject of Combinatorics, and the Instructor is very knowledgeable and gives concrete examples. If you are looking for general information on Combinatorics, this course is for you as it is very enjoyable." - "So far it's easier to understand this guy than my discrete math teacher. English is not even my native language." - "Thank you Deyan for this amazing combinatorics course! Through nine succinct videos, I've learned so much about combinatorics. Highly recommended for aspiring mathematicians." --- ### **Final Verdict:** This Combinatorics course offered by Deyan Kassev is an exceptional resource for anyone interested in learning or improving their understanding of permutation and combinatorics. The course stands out due to its clear and engaging presentation, the use of practical examples, and the instructor's deep knowledge of the subject. It is a highly recommended course for students and professionals alike.

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2492222
udemy ID
8/3/2019
course created date
8/13/2019
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