Basics of Sets - Mathematics faq

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This course, Basics of Sets - Mathematics, is perfect for those who have completed class 10 (Indian Educational System) or have an equivalent background in mathematics. It is part of a comprehensive road map that starts at the very preliminary level (class 6) and takes you to calculus (class 12). Completing this road map might take a year or so, but it will give a very strong and sturdy foundation in mathematics. If you are planning to have any career in engineering, science or mathematics, this course is highly recommended. So, don't miss out on this great opportunity to learn the basics of sets and get a strong foundation in mathematics.

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Course Feature

costCost:

Free

providerProvider:

Udemy

certificateCertificate:

No Information

languageLanguage:

English

start dateStart Date:

2019-10-31

Course Overview

❗The content presented here is sourced directly from Udemy platform. For comprehensive course details, including enrollment information, simply click on the 'Go to class' link on our website.

Updated in [August 31st, 2023]

Skills and Knowledge:
In this course, you will acquire the following Skills and Knowledge:
1. Understanding of basic set theory, including the definition of a set, the operations of union, intersection, and complement, and the use of Venn diagrams.
2. Knowledge of the properties of sets, including the empty set, the universal set, and the power set.
3. Ability to use set notation to represent sets and to solve problems involving sets.
4. Understanding of the concept of cardinality and the ability to calculate the cardinality of a set.
5. Knowledge of the different types of sets, including finite sets, infinite sets, and countable sets.
6. Understanding of the concept of a function and the ability to determine whether a given relation is a function.
7. Knowledge of the different types of functions, including one-to-one functions, onto functions, and inverse functions.
8. Ability to solve problems involving functions.
9. Understanding of the concept of a relation and the ability to determine whether a given relation is a function.
10. Knowledge of the different types of relations, including reflexive, symmetric, and transitive relations.
11. Ability to solve problems involving relations.
12. Understanding of the concept of a graph and the ability to determine whether a given graph is a function.
13. Knowledge of the different types of graphs, including directed and undirected graphs.
14. Ability to solve problems involving graphs.
15. Understanding of the concept of a matrix and the ability to determine whether a given matrix is a function.
16. Knowledge of the different types of matrices, including square matrices and rectangular matrices.
17. Ability to solve problems involving matrices.

Professional Growth:
This course contributes to professional growth by providing a strong foundation in mathematics. It covers the basics of sets, which is a fundamental concept in mathematics. By completing this course, students will gain a better understanding of mathematics and be better prepared for more advanced courses in engineering, science, and mathematics. Additionally, this course will help students develop problem-solving skills, which are essential for any professional career.

Further Education:
This course is suitable for preparing for further education. It is designed for individuals who have completed class 10 or have an equivalent background in mathematics. The course provides a strong foundation in mathematics and is recommended for those planning to pursue a career in engineering, science, or mathematics.

Course Syllabus

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