Set Theory for CPT Maths

Learnings

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!

Skills you gain

Sets and Relations
CA-CPT
CPT Maths
Functions
Set theory
Maths and statistics
Algebra
Quantitative aptitude

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.

Syllabus

01 Jan - Introduction

Sets : Definition and examples 00:28
Representation of a Set 00:28
Roster method 00:28
Set builder method 00:28
Venn Diagram 00:28

01 Jan - Types of Set s and Intervals

Types of Sets : Empty Set, Singleton Set, Finite and Infinite Set 00:28
Cardinality of Set 00:28
Intervals : Open, closed, semi-open and semi - closed intervals 00:28
Examples of Intervals 00:28

01 Jan - Some important definition and Operations on sets

Equality of Sets : definition and examples 00:28
Equivalent Sets : definition and examples 00:28
Subset , Superset and Proper subset 00:28
Universal Set 00:28
Power set 00:28
Complement of a Set 00:28

01 Jan - Union and Intersection operation on Sets

Union of set 00:28
Properties of Union 00:28
Intersection of sets 00:28
Properties of intersection 00:28
Distributive Property, De-morgon's law and examples 00:28

01 Jan - Word problems on set theory and examples

Properties of cardinality 00:28
How to solve problems using different properties and operations on sets 00:28

01 Jan - RELATIONS

Ordered Pair 00:28
Cartesian product or two sets 00:28
Define Relation 00:28
Domain, Co-domain , Range 00:28

01 Jan - Types of Relations and Properties

One- One Relation / Injective 00:28
Many - one relation 00:28
Into Relation 00:28
Onto Relation / Surective 00:28
Binary and equivalence relation 00:28
Properties of Relations 00:28

01 Jan - Functions

Function, Domain, Co-domain, Range 00:28
Types of Functions _ One-one, Onto 00:28
Representation of Function 00:28

01 Jan - Fundamental Types of Functions

Evaluation of Function 00:28
Some fundamental functions : constant, Identity, Linear, Quadratic, Polynomial 00:28
Rational, Exponential and Logarithmic Functions 00:28
Algebra of Function, composite and Inverse Function 00:28

01 Jan - Some Special Functions

Absolute Value Function / Modulus Function 00:28
Greatest Integer Function (Step Function) 00:28
Exercise 00:28

Instructor

Kajal Prakashchand Lohade

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Courses

No. of Students

Rating

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.

Batches

27 Jun - 03 Jan

Timings : 11:35 AM - 12:15 PM

27 Jun - 03 Jan

Timings : 01:00 PM - 01:40 PM

Media

No documents for this course.

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