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Algebra II: IIT JEE Super Course in Mathematics by Trishna Knowledge Systems
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**About this book :- **
**Algebra II: IIT JEE Super Course in Mathematics ** written by
** Trishna Knowledge Systems**

IIT-JEE Super Course In Mathematics: Algebra II is a class-tested course content package for sure-shot success at the IIT-JEE. Each volume in this series is meticulously planned and structured to help the user imbibe and absorb concepts and apply them to IIT problems. Part of the Super Course series that follows a unique, user-friendly approach, with features such as concept strands, concept connectors, topic grip, IIT assignment exercise, which make the learning and application for the coveted IIT-JEE circuit both easy and enjoyable.

This series of books serves as a source of learning that goes beyond the school curricuum of Class XI and Class XII and is intended to form a backbone of preparation of an aspring student. These books have been designed objective of guiding an aspirant to his/her goal n clearly defined step by step approach.

This series covers all the concepts in the latest IIT-JEE syllabus by segregating them into appropriate units. The theories are explained in detail and are illustrated using solved examples detailing the different applications of the concepts.

At the the end of the theory content in each unit, a good number of Solved Examples are provided and they are designed to give the aspirant a comprehensive exposure to the application of the concepts at the problem solving level.

Over 200 unsolved problems are presented for practice at the end of every chapter, Hints and solutions for the same are also provided. These problems are designed to sharpen the aspirant's problem solving skills in a step by step manner.

**Book Detail :- **
** Title: ** Algebra II: IIT JEE Super Course in Mathematics
** Edition: **
** Author(s): ** Trishna Knowledge Systems
** Publisher: ** Pearson India
** Series: **
** Year: ** 2011
** Pages: ** 394
** Type: ** PDF
** Language: ** English
** ISBN: ** 8131759814,9788131759813,9332510881,9789332510883
** Country: ** India
** Get Similar Books from Amazon **

**About Author :- **

The author ** Trishna Knowledge Systems **
The IIT, JEE, the most challenging amongst national level engineering entrance examinations in india, remains on the top of priority list of several lakhs of students every year. The brand value of the IIT's attracts more and more students every year but the challenge posed by the IIT-JEE ensures that only the best of the aspirants get into the IIT's students require thorow understanding of the fundamental concepts, reasoning skills, ability to comprehend the presented situation and exception problem solving skills to come on top in this highly demanding entrance examination.

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**Book Contents :- **
**Algebra II: IIT JEE Super Course in Mathematics ** written by
** Trishna Knowledge Systems**
cover the following topics.
**1. Complex Numbers**

Complex Number Introduction

Algebra of Complex Numbers

Modulus Amplitude from Representation of a complex Number (or polar form representation of a complex number)

Geometrical Representation of Complex Numbers Argand Diagram

Geometrical Representation of sum and diffrence of two complex numbers.

De Moivre's Theorem

Euler's Formula

nth Roots of Unity

Logarithm of a Complex Number

**2. Matrics and Determinants**

Introduction

Definition of a Matrix

Algebra of Matrics

Transpose of a Matrix

Conjugate of Determinant

Properties of Determinants

Solution of Linear System of Equations

Homogeneus Linear System of equations

Product of two Determinants

Solution of Non Homogenous Linear System of Equations Using Matrics

Derivative of a Determinant

**3. Permutations, Combinations and Binomial Theorem**

Introduction

Formula of nPr

Permutations When Some of the Objects or things are not distinct

Binomial Theorm

Expansion of (1+x)n Where n is Positive Integer

Binomial Series

**4.Theory of Prabability**

Introduction

Events or Outcomes

Definition of Probability

Probability Axiomatic Approach

Conditional Probability

Indepenet Events

Bayes Theorem or Bayes Formula

Binomial Distribution or Binomial Model

Geometric Probability or Probability in Continuum

**Note:-**

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**WORKSHEETS (Solved):- **

**SHORTCUT TRICKS (Division):- **

- Divisible by 2 Shortcut trick
- Divisible by 3 Shortcut trick
- Divisible by 4 Shortcut trick
- Divisible by 5 Shortcut trick
- Divisible by 6 Shortcut trick
- Divisible by 7 Shortcut trick
- Divisible by 8 Shortcut trick
- Divisible by 9 Shortcut trick
- Divisible by 10 Shortcut trick

**SHORTCUT TRICKS (Prime Number):- **

- Find the prime number from 1 to 100 just in 5 second (MATH PRIME NUMBER SHORTCUT TRICK from 1 to 100 number) ?
- Find a large number "A" is prime number or not (MATH PRIME NUMBER SHORTCUT TRICK By using Square Root method) ?
- Find the composite number from 1 to 100 just in 5 second (MATH COMPOSITE NUMBER SHORTCUT TRICK from 1 to 100 number) ?