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IIT JEE 2019 Main and Advance Maths Syllabus Free PDF Download

iit jee 2019 maths syllabus

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JEE (Joint Entrance Examination) Main 2019 and JEE Advance 2019 is one of the most important entrance exam in engineering entrance examination. So, the students must be aware for latest pattern and its syllabus.

If the students are familiar with the exam pattern and latest syllabus, it become easier to get success in JEE Main 2019 and JEE Advance 2019 exams.

JEE Main and Advance is a national level entrance exams and it was conducted by CBSE till 2018. But in the upcoming year 2019, this exams will be conducted by NTA (National Testing Agency) and it will be scheduled twice in a year and in online mode only.

JEE Main 2019 and JEE Advance 2019 exams are the entrance exams for the candidates who want to get admission in BE/BTech/BArch/BPlan in NITs, IITs and other institutions.

Now, most of the students have a common doubts that whether the JEE Main and Advance syllabus is same as that of the syllabus for the class of 12th.

According to the conducting body of exams, the JEE Main and Advance 2019 syllabus is usually similar to the CBSE class 12th board and most of the concepts are from NCERT based syllabus. Therefore, all the students preparing for the board exams must clear their concepts in Physics, Chemistry and Mathematics.

According to NTA, the JEE Main 2019 and JEE Advance 2019 syllabus covers the syllabus of class 11th and 12th. Only the exams pattern mode is changed that is online mode only and all the syllabus and marks distribution remains the same.

IIT JEE Main 2019 Maths syllabus and JEE Advance 2019 Maths syllabus are as below.

IIT JEE 2019 Maths Syllabus Unit 1: BASIC MATHEMATICS

In this unit, study about the basic mathematics, concepts etc that you learned in previous classes. 

IIT JEE 2019 Maths Syllabus Unit 2: PROGRESSION & SERIES

In this unit, study about the following concepts:

  • Arithmetic Progression (AP) and Arithmetic Mean (AM)
  • Geometric Progression (GP) and Geometric Mean (GM)
  • Harmonic Progression (HP) and Harmonic Mean (HM)
  • Sum of Finite Arithmetic Progression 
  • Sum of Finite Geometric Progression
  • Sum of Infinite Geometric Progression
  • Sum of the Squares of the First Natural Numbers
  • Sum of the Cubes of the First Natural Numbers
  • Inequalities

IIT JEE 2019 Maths Syllabus Unit 3: COMPLEX NUMBERS

In this unit, study about the following concepts:

  • Algebra of Complex Numbers
  • Modulus of Complex Numbers
  • Arguments of Complex Numbers
  • Conjugate of Complex Numbers 
  • Polar Representation of Complex Numbers
  • Euler Representation of Complex Numbers
  • Rotational Formula
  • Triangle Inequality
  • Nth Roots of unity
  • Geometric Interpretation of Complex Numbers

IIT JEE 2019 Maths Syllabus Unit 4: QUADRATIC EQUATIONS & EXPRESSIONS

In this unit, study about the following concepts:

  • Quadratic Equation with Real Coefficients
  • Relation between Roots and Coefficients
  • Formation of Quadratic Equation with Given Roots
  • Symmetric Function of Roots 
  • Graph of Quadratic Expressions

IIT JEE 2019 Maths Syllabus Unit 5: BINOMIAL THEOREM

In this unit, study about the following concepts:

  • General Terms
  • Independent Terms
  • Middle Terms
  • Properties of Binomial Coefficients 

IIT JEE 2019 Maths Syllabus Unit 6: LOGARITHMIC & EXPONENTIAL SERIES

In this unit, study about the following concepts:

  • Logarithms and their properties
  • Expansion of Logarithmic Series
  • Graph of Logarithmic Functions 
  • Expansion of Exponential Series
  • Graph of Exponential Functions

IIT JEE 2019 Maths Syllabus Unit 7: MATRICES & DETERMINANTS

In this unit, study about the following concepts:

  • Matrices as a Rectangular Array of Real Numbers
  • Equality, Addition, subtraction of Matrices and Multiplication of Matrices by a Scalar
  • Product of Matrices
  • Transpose of Matrix
  • Determinants of a Square Matrix of order up to 3 by 3
  • Inverse of Square Matrix of order up to 3 by 3
  • Properties of these Matrices operations and diagonal
  • Symmetric and Skew-Symmetric Matrices and their Properties
  • Solution of Simultaneous Linear Equations in Two or Three Variables

IIT JEE 2019 Maths Syllabus Unit 8: PERMUTATION & COMBINATION

In this unit, study about the following concepts:

  • Definition of Permutation and Combination
  • Addition and Multiplication Rules
  • Linear and Circular Arrangements
  • Division and Distribution of Groups 
  • Inclusion and Exclusion Principals

IIT JEE 2019 Maths Syllabus Unit 9: PROBABILITY 

In this unit, study about the following concepts:

  • Definition of Probability
  • Addition and Multiplication Rules of Probability
  • Set Theocratic Approach of Probability 
  • Conditional Probability
  • Total Probability
  • Bays Theorem
  • Independent Events

IIT JEE 2019 Maths Syllabus Unit 10: TRIGONOMETRIC RATIO & IDENTITIES

In this unit, study about the following concepts:

  • Trigonometric Functions
  • Trigonometric Functions Periodicity and their graphs
  • Addition and Subtraction Formulas
  • Multiple and Sub-Multiple Angles Formulas 
  • Trigonometric Inequalities

IIT JEE 2019 Maths Syllabus Unit 11: TRIGONOMETRIC  EQUATIONS

In this unit, study about the following concepts:

  • General Solutions of Trigonometric Equations
  • General Solutions of Trigonometric In-equations
  • Inverse Trigonometric Functions

IIT JEE 2019 Maths Syllabus Unit 12: PROPERTIES OF TRIANGLES

In this unit, study about the following concepts:

  • Relation between Sides and Angles of a Triangle
  • Sine Rule
  • Cosine Rule
  • Half Angle Formula
  • Areas of Triangles
  • Solution of Triangles

IIT JEE 2019 Maths Syllabus Unit 13: STRAIGHT LINE

In this unit, study about the following concepts:

  • Distance and Sections Formulas
  • Triangles in Co-ordinate Systems
  • Centroid, Orthocenter, Incenter and Circumcenter of Triangle 
  • Equation of Straight Line in Various Forms
  • Angles between Two Lines
  • Distance of Point from a Line
  • Lines Through the Point of Intersection of Two Lines
  • Equations of Angle Bisectors of the Angle Between Two Lines
  • Pair of Straight Lines 
  • Locus Problems

IIT JEE 2019 Maths Syllabus Unit 14: CIRCLES

In this unit, study about the following concepts:

  • Equation of Circle in Various Forms
  • Equation of Tangents, Normals and Chords
  • Parametric Equation of a Circle
  • Intersections of a Circle with a Straight Line and a Circle
  • Family of Circles
  • Locus Problems

IIT JEE 2019 Maths Syllabus Unit 15: PARABOLAS

In this unit, study about the following concepts:

  • Parabolas in Standard Forms
  • Directories, Eccentricity and Parametric Equations
  • Equation of Tangents and Normals
  • Propositions
  • Family of Circles
  • Locus Problems

IIT JEE 2019 Maths Syllabus Unit 16: ELLIPSE

In this unit, study about the following concepts:

  • Ellipse in Standard Forms
  • Foci, Directrices, Eccentricity, of Ellipse
  • Parametric Equations of Tangents and Normals
  • Locus Problems

IIT JEE 2019 Maths Syllabus Week 19: HYPERBOLA

In this unit, study about the following concepts:

  • Hyperbola in Standard Forms
  • Foci, Directrices, Eccentricity, of Hyperbola 
  • Parametric Equations of Tangents and Normals
  • Locus Problems

IIT JEE 2019 Maths Syllabus Unit 18: VECTORS

In this unit, study about the following concepts:

  • Linear Combination of Vectors
  • Collinear and Coplanar Vectors 
  • Scalar Multiplication with Vectors
  • Dot and Cross Products
  • Scalar Triple Products and their Geometrical Interpretations

IIT JEE 2019 Maths Syllabus Unit 19: 3D GEOMETRY

In this unit, study about the following concepts:

  • Direction Cosine and Direction Ratios
  • Equation of Plane, Distance of a Point from a Plane
  • Angle Bisectors, Family of Planes
  • Equation of Straight Lines in Space

IIT JEE 2019 Maths Syllabus Unit 20: FUNCTIONS

In this unit, study about the following concepts:

  • Real Valued Functions of a Real Variable
  • Into, Onto, One-One, Many-One Functions
  • Sum, Difference, Product and Quotient of Two Functions
  • Composite Functions
  • Absolute Value of a Function
  • Polynomial, Rational, Trigonometric, Exponential and Logarithmic Functions
  • Even and Odd Functions
  • Inverse of a Function
  • Continuity of a Composite Function
  • Graph and their Transformations

IIT JEE 2019 Maths Syllabus Unit 21: LIMITS CONTINUITY & DIFFERENTIABILITY

In this unit, study about the following concepts:

  • Limit and Existence of Limit of a Function
  • Continuity of a Function
  • Limit and Continuity of the Sum, Difference, Product and Quotient of the Two Functions
  • L’Hospital Rule of Evaluation of Limits of Functions
  • Intermediate Valued Theorem of Continuous Functions
  • Derivative of a Function by First Principle
  • Derivative of the Sum, Difference, Product and Quotient of Two Functions,
  • Derivative of Polynomial, Rational, Trigonometrical, Inverse Trigonometrical, Exponential & Logarithmic Functions
  • Derivative of Implicit Functions
  • Derivatives upto Two Order

IIT JEE 2019 Maths Syllabus Unit 22: APPLICATION OF DERIVATIVES

In this unit, study about the following concepts:

  • Geometrical Interpretation of Derivatives
  • Tangents and Normals
  • Increasing and Decreasing Function
  • Maxima and Minima
  • Maximum and Minimum Value of a Function
  • Rolles Theorem
  • Lagranges Mean Value Theorem 

IIT JEE 2019 Maths Syllabus Unit 23: INDEFINITE INTEGRALS

In this unit, study about the following concepts:

  • Integration as the Inverse Process of Differentiation
  • Indefinite Integrals of Standard Functions 
  • Integration By Parts
  • Integration by Method of Substitution and Partial Fraction

IIT JEE 2019 Maths Syllabus Unit 24: DEFINITE INTEGRALS

In this unit, study about the following concepts:

  • Definite Integration and their Properties 
  • Fundamental Theorem of Integral Calculus

IIT JEE 2019 Maths Syllabus Unit 25: AREA UNDER THE CURVE

In this unit, study about the following concepts:

  • Application of Definite Integrals to the Determination of Area Under the Curve

IIT JEE 2019 Maths Syllabus Unit 26: DIFFERENTIAL EQUATIONS

In this unit, study about the following concepts:

  • Order and Degrees
  • Formation of Ordinary Differential Equations 
  • Solution of Differential Equations
  • Linear First Order of Differential Equations

Click Here To Download IIT JEE 2019 MATHS Syllabus as a PDF

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