IIT JEE Super Course in Mathematics: Algebra II by Trishna Knowledge Systems
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IIT JEE Super Course in Mathematics: Algebra II 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.
IIT JEE Super Course in Mathematics: Algebra II 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
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