Algebra I.
IIT JEE Super Course in Mathematics: Algebra I > 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. This title follows a unique...
| Autor principal: | |
|---|---|
| Formato: | Libro electrónico |
| Idioma: | Inglés |
| Publicado: |
Noida :
Pearson India
2011.
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| Edición: | [First edition] |
| Materias: | |
| Ver en Biblioteca Universitat Ramon Llull: | https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009815724406719 |
Tabla de Contenidos:
- Cover
- Contents
- Preface
- Chapter 1: Prerequisites
- Study Material
- Set of Real Numbers
- Rational Numbers
- Integers
- Irrational Numbers
- Surds
- Equality of surds
- Rationalizing factor
- Roots of surds
- H.C.F (or G.C.D) and L.C.M
- H.C.F
- L.C.M
- Results
- Ratio, Proportion and Variation
- Ratio
- Proportion
- Results
- Variation
- Indices
- Laws of indices
- Logarithms
- Results
- Common logarithms
- Antilogarithms
- Polynomials
- Remainder theorem
- Modulus
- Inequalities
- Results
- Arithmetic Mean, Geometric Mean
- Determinants
- Important Results in Geometry
- Triangles
- Circles
- Locus-Equation of a locus
- Trigonometry Fundamentals
- Definition of an angle
- Units of measurement of an angle
- Definition of radian measure
- Area of a sector
- Definitions of trigonometric functions (or circular functions) of an angle
- Observation 1
- Observation 2
- Observation 3
- Observation 4
- Fundamental Counting Principle
- Chapter 2: Quadratic Equations and Expressions
- Study Material
- Roots of the Quadratic Equation
- Symmetric Functions
- Nature of Roots of a Quadratic Equation
- Introduction to Complex Numbers
- Algebra of complex numbers
- Common Roots
- Quadratic Expressions
- Maximum and Minimum Values of a Quadratic Expression
- Polynomial Equation of Degree n
- Summary
- Topic Grip
- Subjective Questions
- Straight Objective Type Questions
- Assertion-Reason Type Questions
- Linked Comprehension Type Questions
- Multiple Correct Objective Type Questions
- Matrix-Match Type Question
- IIT Assignment Exercise
- Straight Objective Type Questions
- Assertion-Reason Type Questions
- Linked Comprehension Type Questions
- Multiple Correct Objective Type Questions
- Matrix-Match Type Question
- Additional Practice Exercise
- Subjective Questions.
- Straight Objective Type Questions
- Assertion-Reason Type Questions
- Linked Comprehension Type Questions
- Multiple Correct Objective Type Questions
- Matrix-Match Type Questions
- Solutions
- Answer Keys
- Hints and Explanations
- Chapter 3: Trigonometry
- Study Material
- Introduction
- Trigonometry Fundamentals
- Definition of an angle
- Units of measurement of an angle
- Definition of radian measure
- Periodic Property of Circular Functions and Graphs of Circular Functions
- f(x) = sin x and f(x) = cos x
- f(x) = tan x
- f(x) = cosec x
- f(x) = sec x
- f(x) = cotx
- Formulas for Circular Functions of Related Angles
- Circular Functions of Compound Angles
- Product Formulas
- Circular Functions of Multiples of an Angle A
- Inverse Circular Functions
- Trigonometric Equations
- Equations of the form sin x = k - (1)
- Equations of the form cos x = k - (2)
- Equation of the form tan x = k - (3)
- Equations of the form a cos x + b sin x = c - (4)
- Summary
- Topic Grip
- Subjective Questions
- Straight Objective Type Questions
- Assertion-Reason Type Questions
- Linked Comprehension Type Questions
- Multiple Correct Objective Type Questions
- Matrix-Match Type Question
- IIT Assignment Exercise
- Straight Objective Type Questions
- Assertion-Reason Type Questions
- Linked Comprehension Type Questions
- Multiple Correct Objective Type Questions
- Matrix-Match Type Questions
- Additional Practice Exercise
- Subjective Questions
- Straight Objective Type Questions
- Assertion-Reason Type Questions
- Linked Comprehension Type Questions
- Multiple Correct Objective Type Questions
- Matrix-Match Type Questions
- Solutions
- Answer Keys
- Hints and Explanations
- Chapter 4: Properties of Triangles
- Study Material
- Introduction
- Law of sines (or sine formulas)
- Law of cosines (or Cosine Formulas).
- Projection Formulas
- Formulas for r, r1, r2 and r3
- Heights and distances
- Angle of elevation and Angle of depression
- Summary
- Topic Grip
- Subjective Questions
- Straight Objective Type Questions
- Assertion-Reason Type Questions
- Linked Comprehension Type Questions
- Multiple Correct Objective Type Questions
- Matrix-Match Type Question
- IIT Assignment Exercise
- Straight Objective Type Questions
- Assertion-Reason Type Questions
- Linked Comprehension Type Questions
- Multiple Correct Objective Type Questions
- Matrix-Match Type Question
- Additional Practice Exercise
- Subjective Questions
- Straight Objective Type Questions
- Assertion-Reason Type Questions
- Linked Comprehension Type Questions
- Multiple Correct Objective Type Questions
- Matrix-Match Type Questions
- Solutions
- Answer Keys
- Hints and Explanations
- Chapter 5: Sequences and Series
- Study Material
- Sequences
- Series
- Arithmetic Series (or Series in AP)
- Geometric Series (or Series in GP)
- Infinite geometric series
- Arithmetico-Geometric Series
- Harmonic Series (Series in HP)
- Arithmetic Mean, Geometric Mean and Harmonic Mean
- Arithmetic Mean
- Geometric Mean
- Harmonic Mean
- Procedure to Find the AMs, GMs, HMs Between a and b
- Arithmetic Means
- Geometric Means
- Harmonic Means
- Summation Symbol Σ (sigma)
- Summation of Series
- Partial Fractions
- Summary
- Topic Grip
- Subjective Questions
- Straight Objective Type Questions
- Assertion-Reason Type Questions
- Linked Comprehension Type Questions
- Multiple Correct Objective Type Questions
- Matrix-Match Type Question
- IIT Assignment Exercise
- Straight Objective Type Questions
- Assertion-Reason Type Questions
- Linked Comprehension Type Questions
- Multiple Correct Objective Type Questions
- Matrix-Match Type Question.
- Additional Practice Exercise
- Subjective Questions
- Straight Objective Type Questions
- Assertion-Reason Type Questions
- Linked Comprehension Type Questions
- Multiple Correct Objective Type Questions
- Matrix-Match Type Questions
- Solutions
- Answer Keys
- Hints and Explanations.
