Set Theory for CPT Maths | Olcademy
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## Set Theory for CPT Maths

• 22 Apr 2021
• Get started before others
• English

SETS, RELATIONS & FUNCTIONS

₹ 2750

Description

In this course, I'll cover all the concepts of Sets, Relations & Function with Basics. All the important topics will be discussed in detail and would be helpful for aspirants preparing for the exam. I am also giving you exam guidance with smart tricks to improve problem-solving skills. You will also get notes PDF to understand better. Notes will be provided in English. Learners at any stage of their preparations will be benefited from the course. So enroll now and let this course be your ultimate guide to your preparation.

What will you learn?
• You will be able to learn and perform operations with Sets, Set Functions and Functions defined on a different domain.
• You can construct sets from given conditions/descriptions/rules.
• You can easily identify the types of relations as well as different types of Functions
• You can verify equality, equivalence or other relationships between given sets
• You will learn to carry out complicated operations on functions
What knowledge and tools are required?
• All the required stationery needed to learn math like pencil, eraser, notebooks, etc.
• Learners should know basic maths up to 10th standard and will able to perform maths basic operations
• Laptop/ Smartphone with a good internet connection
Who should take this course?
• Students aspiring for the CA_CPT exam, this course is specially designed for you.
• Students of Class 11th and 12th.
• Students learning quantitative aptitude for other competitive exams like CAT, GMAT, SAT, etc.
• Students at degree level studying mathematics or statistics also use this course to improve their subject knowledge
Lecture 1 :- Introduction

Overview of the course and Introduction.

• Topics

1. 1. Sets : Definition and examples
2. Students will able to understand the meaning of sets, it's definition and how to represent sets by using different representation method

3. 2. Representation of a Set
4. 3. Roster method
5. 4. Set builder method
6. 5. Venn Diagram
Lecture 2 :- Types of Set s and Intervals

To identify different kind of sets and differentiate between them

• Topics

1. 1. Types of Sets : Empty Set, Singleton Set, Finite and Infinite Set
2. Student will learn different kind of sets and diffenciates them

3. 2. Cardinality of Set
4. To find number of elements of a set

5. 3. Intervals : Open, closed, semi-open and semi - closed intervals
6. Understanding Intervals and their types

7. 4. Examples of Intervals
Lecture 3 :- Some important definition and Operations on sets

Learn some basic definition to perform different operation on sets

• Topics

1. 1. Equality of Sets : definition and examples
2. 2. Equivalent Sets : definition and examples
3. 3. Subset , Superset and Proper subset
4. Learn with examples of each

5. 4. Universal Set
6. 5. Power set
7. 6. Complement of a Set
8. How to find set complement and their properties

Lecture 4 :- Union and Intersection operation on Sets

A very important operations of sets

• Topics

1. 1. Union of set
2. How to perform union operation

3. 2. Properties of Union
4. 3. Intersection of sets
5. To perform the intersection operation on sets

6. 4. Properties of intersection
7. Learn different properties to solve examples

8. 5. Distributive Property, De-morgon's law and examples
Lecture 5 :- Word problems on set theory and examples

How to solve problems using different properties and operation of sets

• Topics

1. 1. Properties of cardinality
2. 2. How to solve problems using different properties and operations on sets
Lecture 6 :- RELATIONS

Learn definition, meaning and examples

• Topics

1. 1. Ordered Pair
2. What is ordered pair and how it defines

3. 2. Cartesian product or two sets
4. 3. Define Relation
5. Learn definition of Relation

6. 4. Domain, Co-domain , Range
7. Learn their meanings and definition

Lecture 7 :- Types of Relations and Properties

Learn all the four types of Relations with examples

• Topics

1. 1. One- One Relation / Injective
2. 2. Many - one relation
3. 3. Into Relation
4. 4. Onto Relation / Surective
5. 5. Binary and equivalence relation
6. 6. Properties of Relations
Lecture 8 :- Functions

• Topics

1. 1. Function, Domain, Co-domain, Range
2. 2. Types of Functions _ One-one, Onto
3. 3. Representation of Function
Lecture 9 :- Fundamental Types of Functions

Learn some fundamental Functions and their examples

• Topics

1. 1. Evaluation of Function
2. Problem solving skills

3. 2. Some fundamental functions : constant, Identity, Linear, Quadratic, Polynomial
4. 3. Rational, Exponential and Logarithmic Functions
5. 4. Algebra of Function, composite and Inverse Function
Lecture 10 :- Some Special Functions

Some unique kind of Functions

• Topics

1. 1. Absolute Value Function / Modulus Function
2. 2. Greatest Integer Function (Step Function)
3. 3. Exercise
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Instructor Profile

Skills: MathematicsLeadership and motivationAnalytical and problem solving skillsGood communication skillsAdvanced teaching , learning skills and research

Hi, I'm Kajal L. I've done MSc in Mathematics and currently working as an Educator, Tutor, Maths Professional coach. I have been tutoring for 2 years with experience ranging from school students to those at the college level. I emphasize core basic concepts and grasp technical and numerical skills this makes them stronger in the subject matter. I'll also keep giving you exam guidance as we learn, focusing on topics that frequent exams most often so you can achieve the highest grade. I find teaching incredibly rewarding and always enjoy watching students surpass expectations they had of themselves at the end of the session.

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