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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

Introduction

Will be updated Later

Subsets

Miscellaneous Examples