# 11 TH MATHS

## Class 11 Math Essentials

Welcome to Math Classes by Suman Mathews! We provide online math tutoring services for students in class 11 and 12. Our goal is to make sure each student understands the material and is able to apply it to their own studies.

Our tutoring sessions are designed to be comprehensive and easy to follow. We provide step-by-step instructions on how to solve math problems, as well as helpful videos and formulas. We also offer specialized tutoring for the ISC and NCERT syllabus. With our tutoring, you can feel confident and prepared for your math exams.

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QUADRATIC EQUATIONS AND INEQUALITIES

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PERMUTATIONS AND COMBINATIONS/BINOMIAL THEOREM

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Foundations of Statistics-Exploring Variance and Arithmetic Mean

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This Course on Statistics will help you with all the basic knowledge of Statistics that you need to know . You will see Surprising Results in your scores.

What is Statistics?

Statistics is a branch of Mathematics dealing with the collection, organisation ,representation and interpretation of data.

This course deals with the graphical representation of data, measures of Central tendency: Mean ,Median and Mode and Measures of Dispersion : Mean Deviation and Standard Deviation.

Statistical data can be easily understood if we represent it in the form of Charts and graphs. Here, you will study the following types of graphs: Pie Charts, Bar graphs, Histograms, Frequency Polygons. You will learn how to draw these graphs and interpret them. These form an integral part of quantitative aptitude tests.

You will learn how to draw a Pie Chart.

Given a pie chart you will answer questions based on it.

How to draw a bar graph to represent data is shown . You are taught how to interpret the data.

You will also learn how to draw a Histogram and Frequency Polygon and use these in analysing data.

Statistical data has the tendency to cluster around a central value. This is called Central tendency. The different ways of measuring Central tendency are Mean, Median and Mode. You will learn how to calculate these for grouped and ungrouped data, Problems of the type given below are discussed:

Learn the three types of methods for calculating arithmetic mean, namely, direct method, shortcut method and step deviation method.

Find the mean for a frequency distribution having class intervals using the Shortcut Method.

You are introduced to Quartiles and how to calculate them using the formula. A few of the problems include:

How to calculate the mode for a given data.

In order to interpret the data, you should know how data is spread around a central value. This leads to measures of dispersion, namely mean deviation and standard deviation.

You will learn about Mean Deviation about the mean and mean deviation about the median for discrete and continuous frequency distributions. You move on to learning variance and standard deviation. Three methods of calculating the standard deviation are discussed. These include the Direct method, Shortcut method and Step Deviation method.

Learn the basics of Regression Analysis. You'll learn about dependent and independent variables, scatter diagrams and basic formulas of regression.

You'll be introduced to Correlation Analysis and how to calculate it.

Quadratics Decoded Equations, Inequalities and Beyond

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Learn about Quadratic Equations and Inequalities, which is a part of Algebra. You'll be able to solve quadratic equations and quadratic inequalities with ease after studying this course. Being a mathematics educator for three decades, I have crafted this course to help all students.

You'll learn basic formulas and problem solving here. These types of questions are often asked in SAT exams. So come and join our road map.

The course starts with solving a quadratic equation . You can also solve it by direct factorisation, but what happens if the correct factors don't click in your mind. You are introduced to the basic formula to find the roots of a quadratic equation.

What happens if the given equation is not quadratic? The trick here lies in converting it to a quadratic, solving it and then substituting back. Moving on, you'll learn about the discriminant and using the discriminant to determine the nature of the roots of a quadratic.

You will learn how to calculate the nature of the roots of a quadratic equation. Next, you'll move on to properties about the sum and product of the roots of a quadratic equation. This concept is used a lot in problem solving.

Last, but not the least, you'll be introduced to quadratic inequalities and how to solve them. You'll also learn how these are used in Calculus to check if a function is increasing or decreasing. This concept of increasing and decreasing functions is also used in Economics.

Bonus: Learn Linear Programming, an integral part of Statistics

Learn how to apply Linear Programming to Transportation Problems, an introduction to Operation Research.

Navigating Trigonometry-A Complete Course

n this course, you will learn about degrees and radians and how to convert one form to the other. You will learn about the domain and range of the basic trigonometric functions and how to graph them. You will learn the famous principle of A S T C and how to evaluate trigonometric functions in different quadrants measuring from the vertical and horizontal axis.

You are then introduced to Compound angles and how to calculate the sum or difference of these. A wide range of formulae are introduced which are immensely useful in Calculus.

Moving on, you learn about multiple and sub multiple angles in Trigonometry and how to use them in problem solving. Yet another extremely important concept used extensively in Calculus.

You'll also learn a very important concept, namely, understanding the difference between a principal solution and a general solution for a trigonometric equation. Learn priceless formulas on how to find the general solution of a trigonometric equation.

Explore Properties of Triangles-an important application of Trigonometry

So, start learning Trigonometry with me and enhance your knowledge of Mathematics. Share this course with your friends and relatives who need it.

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Connecting the Dots-A Course on Relations and Functions

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The course unfolds with the basic concept of Sets and a Relation as a subset of the cross product of two sets. You learn the different types of Relations and a very important concept, namely, what is an equivalence Relation.

Next, you'll be introduced to a function as a type of Relation. You'll understand what is meant by Domain and Range of a function. As you progress through the course, you'll learn about injective and surjective functions and consequently bijective functions.

You'll learn how to calculate the inverse of a bijective function. You'll glide to Binary Operations, a very important concept used in Group Theory in Higher Mathematics.

You'll receive all the formulas learnt in this course as a gift. There's also a set of Multiple choice questions at the end of the course. This will inspire you to think out of the box.

On a side note, the concepts taught here will also help you to answer SAT and GRE QUANT examinations.

I hope you'll find this course helpful. Encourage your friends and acquaintances to also enrol for the course and learn hassle free at your own pace.

Bonus-Learn how to find the domain and range of Inverse Trigonometric Functions. Also learn simple techniques to find the principal values of Inverse Trigonometric functions.

Quadratic Equations- Inequalities and Beyond

Learn about Quadratic Equations and Inequalities, which is a part of Algebra. You'll be able to solve quadratic equations and quadratic inequalities with ease after studying this course. Being a mathematics educator for three decades, I have crafted this course to help all students.

You'll learn basic formulas and problem solving here. These types of questions are often asked in SAT exams. So come and join our road map.

The course starts with solving a quadratic equation . You can also solve it by direct factorisation, but what happens if the correct factors don't click in your mind. You are introduced to the basic formula to find the roots of a quadratic equation.

What happens if the given equation is not quadratic? The trick here lies in converting it to a quadratic, solving it and then substituting back. Moving on, you'll learn about the discriminant and using the discriminant to determine the nature of the roots of a quadratic.

You will learn how to calculate the nature of the roots of a quadratic equation. Next, you'll move on to properties about the sum and product of the roots of a quadratic equation. This concept is used a lot in problem solving.

Last, but not the least, you'll be introduced to quadratic inequalities and how to solve them. You'll also learn how these are used in Calculus to check if a function is increasing or decreasing. This concept of increasing and decreasing functions is also used in Economics.

Bonus: Learn Linear Programming, an integral part of Statistics

Learn how to apply Linear Programming to Transportation Problems, an introduction to Operation Research.

Permutations and Combinations Workshop-Exploring Choices

Permutations and Combinations forms an integral part of higher Mathematics. It is used extensively in Probability, Binomial Theorem and Discrete Math. Also used in SAT and GRE Quant examinations. The tricky part here is that each problem is unique.

There is no one solution to all problems on Permutations and Combinations. This course will introduce you to the basics and gradually lead you forward. Make use of the solved examples and resources here.

The course unfolds with a basic knowledge of Permutations. You will learn cases when the objects are all different or not all different. Learn basic formulas in Permutations here.

Number of problems involving letters and digits are discussed here . Moving on, you'll learn about circular permutations and how to calculate them. You'll realise how the values change in a circular permutation where no two people have the same neighbours or different neighbours.

Again, practice the problems illustrated here to gain mastery of the topic. Next, you'll learn about Combinations and how to evaluate them. Realise that while a permutation is basically an arrangement, a combination is a selection.

Learn basic properties of Combinations and how to use these in problem solving. You'll come across problems which use both Permutations and Combinations and work on mixed problems. You'll realise how these are interconnected.

You have a session on Multiple choice questions where you realise that each problem requires a fair level of understanding. There are also formulas at the end for you.

Learn higher order problem solving techniques in Permutations.