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Fundamental Mathematics for IIT JEE Basic Mathematics for IIT JEE(Main & Advanced) 0.0 Ankit Kumar Coming Soon All Level Hindi Available Batches: 0 ₹1500
All
Hindi
Interactive Live Learning
Certificate of Completion ## Knowledge & tools are required

• Students should be familiar with only the basic operation of mathematics. Like: Addition, Subtraction, Multiplication, Division, faction, etc!
• For live classes, students should have good internet connections! ## Who should take this course

• High School Students up to 12th class, Who want to understand Mathematics easily.!
• Current middle school/junior high students, or students about to start middle school who are looking to get ahead Homeschool parents looking for extra support with the fundamentals Anyone who wants to study math for fun after being away from school for a while!
• IIT-JEE Aspirants and Students taking Mathematics for higher secondary Education.! ## Learnings

• The student will learn all the basic concepts of mathematics, which help them to understand higher mathematics.!
• Master the Fundamentals of Math is organized into the following sections: Numbers and negative numbers Factors and multiples Decimals Fractions Mixed numbers Ratio and proportion Exponents Radicals Scientific notation!
• Students of Foundation course or 2 year program.! ## Skills you gain

• Rational function
• Set theory
• basic mathematics
• number system
• inequality
• Modulus
• Interval ## Description

Math class was always so frustrating.

I’d go to a class, spend hours on homework, and three days later have an “Ah-ha!” moment about how the problems worked that could have slashed my homework time in half.

I’d think, “WHY didn’t my teacher just tell me this in the first place?!”

So I started tutoring to keep others out of that aggravating, time-sucking cycle.

Since then, I’ve recorded tons of videos and written out cheat-sheet style notes and formula sheets to help every math student—from basic middle school classes to advanced college calculus—figure out what’s going on, understand the important concepts, and pass their classes, once and for all.

Mathematics makes our life orderly and prevents chaos. Certain qualities that are nurtured by mathematics are the power of reasoning, creativity, abstract or spatial thinking, critical thinking, problem-solving ability, and even effective communication skills

HOW TO BECOME EXPERT IN BASIC MATH IS SET UP TO MAKE COMPLICATED MATH EASY:

This course contains 50+ online live classes and text explanations of everything from the Fundamentals, and it includes 48 quizzes (with solutions!) and an additional 20+ workbooks with extra practice problems (containing almost 1000+ questions), to help you test your understanding along the way. Master the Fundamentals of Math is organized into the following sections:

• Number System

• Scientific notation

• Set theory

• Interval

• Inequality

• Modulus

• Rational Inequation

• Greatest Integer Function

• Irrational Inequation

AND HERE'S WHAT YOU GET INSIDE OF EVERY SECTION:

Online Live Classes: Watch over my shoulder as I solve problems for every single math issue you’ll encounter in class. We start from the beginning... I explain the problem setup and why I set it up that way, the steps I take and why I take them, how to work through the yucky, fuzzy middle parts, and how to simplify the answer when you get it.

Notes: The notes section of each lesson is where you find the most important things to remember. It’s like Cliff Notes for books, but for math. Everything you need to know to pass your class and nothing you don’t.

Assessments: When you think you’ve got a good grasp on a topic within a course, you can test your knowledge by taking one of the assessments. If you pass, great! If not, you can review the notes again or ask for help in the Q&A section.

Workbooks: Want even more practice? When you've finished the section, you can review everything you've learned by working through the bonus workbook. The workbooks include tons of extra practice problems, so they're a great way to solidify what you just learned in that section. ## Syllabus

03 Sep Introduction of this course
over view of syllabus of this course

04 Sep Number System
Natural Number, Whole Number, Integers

Even number, Odd Number, Properties of Divisibility.

· Prime Numbers and Composite Numbers and their properties.

Rational Numbers, their properties and representation.

H.C.F or G.C.D. and L.C.M, Co-Prime and Twin Prime numbers and Their properties.

Method to Convert decimal to Rational and Vise-versa, Irrational Number.

Real Numbers, their representation and properties.

Tree form of Different types of Real Numbers.

Important Symbols (Part 1) such as "infinity, number line, implies, iff"

Important Symbols (Part 2) such as "min, max, <, >, <=, >=, "

Important Symbol (Part 3) Such as "Modulo, Factorial, congruent, for all"

Sigma, Pie, Summation, Permutation, Vers(x), Covers(x)

Combination (nCr), exp(x), symbol(e)

fast calculation in Mathematics

Double factorial and their representation

05 Sep Set theory
Definition of set, form of representation (Roster and set builder form)

Types of sets, conversion of forms

pair set, subset, equal set and their properties

super set, Proper subset, Finite and infinite set, equivalent set.

Venn diagram, power set, Universal set, some operations on sets.

Union, intersection, compliment of sets, difference of 2 set.

Problems based on set theory.

06 Sep Interval
Definition of interval, types (open interval, closed, open-closed, closed-open)

Graphical and set builder notation of different intervals.

Intersection and Union of interval, Problems based on intervals.

08 Sep Inequality
Definition of inequality and examples, operation on inequality

Properties of inequality, reciprocal of number, Some definition (solution set)

Solution of single and double inequality

System of inequality, inequality of the form a.b and a/b is positive or negative

Properties of inequality, solution of inequality of the form (x-a) *(x-b)> or >=

Properties of inequality, solution of inequality of the form (x-a) *(x-b) < or <

double inequality of the form f(x) <g(x)< h(x), operation of inequality

squaring of inequality, and some important results using inequality.

09 Sep Modulus
Definition of modulus, their representation and geometrical meaning of modulus

Properties of Modulus with suitable examples

Properties of Modulus with suitable examples (|x| < or > a when a>0)

Properties of Modulus with suitable examples (|x| < or > a when a<0 and a=0)

max, min in term of modulus, steps to solve inequality involved modulus

problems based on equality involving modulus.

problems based on Multiple modulus with equality

problems based on inequality involving modulus.

Square root, Multiple modulus involving inequality

Relation between Square root and Modulus with suitable examples.

Quadratic express (definition and their standard and their sign scheme)

Sign scheme of quadratic expressions when D=0.

problems based on sign scheme of quadratic expressions.

11 Sep Monomial, Polynomial and Rational Function
Definition and Examples of Monomial, Polynomial and rational function

Definition and Examples of Monomial, Polynomial and rational function

Wavy curve method to find sign scheme of rational function

Solving inequality using wavy curve method

Solution of Inequality involving Modulus using Wavy curve method

Min and Max Value of Quadratic Expression and factorization of Quadratic express ## Instructor Details ## Ankit Kumar

##### Professional Online Teacher
Courses Published
12

Persuing Batchelor of Technology from Indian Institute of Technology Dhanbad, Jharkhand India. Math class was always so frustrating. I’d go to a class, spend hours on homework, and three days later have an “Ah-ha!” moment about how the problems worked that could have slashed my homework time in half. I’d think, “WHY didn’t my teacher just tell me this in the first place?!” So I started tutoring to keep others out of that aggravating, time-sucking cycle. Since then, I’ve recorded tons of videos and written out cheat-sheet style notes and formula sheets to help every math student—from basic middle school classes to advanced college calculus—figure out what’s going on, understand the important concepts, and pass their classes, once and for all. I love to teach mathematics through my unique method of explanation. ## Batches

10 Sep - 20 Jan
Timings : 03:00 PM - 04:30 PM ## Reviews & Ratings

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Hindi
Interactive Live Learning
Certificate of Completion