| Description |
| Instructor |
| Pre-Requisites |
| Syllabus |
| Reviews |
| Materials |
| Discussion Forum |
- Available Batches
- 08 Nov 2020
- 10 Lectures
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.
- 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
- 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
- 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
Overview of the course and Introduction.
- Topics
- 1. Sets : Definition and examples
- 2. Representation of a Set
- 3. Roster method
- 4. Set builder method
- 5. Venn Diagram
To identify different kind of sets and differentiate between them
- Topics
- 1. Types of Sets : Empty Set, Singleton Set, Finite and Infinite Set
- 2. Cardinality of Set
- 3. Intervals : Open, closed, semi-open and semi - closed intervals
- 4. Examples of Intervals
Learn some basic definition to perform different operation on sets
- Topics
- 1. Equality of Sets : definition and examples
- 2. Equivalent Sets : definition and examples
- 3. Subset , Superset and Proper subset
- 4. Universal Set
- 5. Power set
- 6. Complement of a Set
A very important operations of sets
- Topics
- 1. Union of set
- 2. Properties of Union
- 3. Intersection of sets
- 4. Properties of intersection
- 5. Distributive Property, De-morgon's law and examples
How to solve problems using different properties and operation of sets
- Topics
- 1. Properties of cardinality
- 2. How to solve problems using different properties and operations on sets
Learn definition, meaning and examples
- Topics
- 1. Ordered Pair
- 2. Cartesian product or two sets
- 3. Define Relation
- 4. Domain, Co-domain , Range
Learn all the four types of Relations with examples
- Topics
- 1. One- One Relation / Injective
- 2. Many - one relation
- 3. Into Relation
- 4. Onto Relation / Surective
- 5. Binary and equivalence relation
- 6. Properties of Relations
- Topics
- 1. Function, Domain, Co-domain, Range
- 2. Types of Functions _ One-one, Onto
- 3. Representation of Function
Learn some fundamental Functions and their examples
- Topics
- 1. Evaluation of Function
- 2. Some fundamental functions : constant, Identity, Linear, Quadratic, Polynomial
- 3. Rational, Exponential and Logarithmic Functions
- 4. Algebra of Function, composite and Inverse Function
Some unique kind of Functions
- Topics
- 1. Absolute Value Function / Modulus Function
- 2. Greatest Integer Function (Step Function)
- 3. Exercise
No Media For This Course.
No Document For This Course.
Kajal Prakashchand Lohade
No Designation Added
Skills:
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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