View 45 Notes (Detailed) on JEE (Based on NTA Guidelines-IIT Engg.) Mains Mathematics  81 hrsTime you need to read all the notes in this subject once. Each chapter heading shows its own time. Divide these hours by the days left before your exam to fix your daily study target. Keep extra days for revision.

Domain, Range1

• 11
• Theory of Equations

Functions and Composition2

• 12
• Monotonicity: Tests for Increasing and Decreasing Functions; LMVT Theorem
• Monotonicity

Algebra of Complex Numbers1

• 11
• Complex Number

Formation of Quadratic Equations with Given Roots1

• 11
• Quadratic Expressions

Nth Root of Unity1

• 11
• Complex Numbers

Matrices1

• 11
• The Transpose of a Matrix: (Changing Rows & Columns)

Types of Matrices1

• 11
• Matrices: Useful in Study of Science, Economics and Engineering

Properties and Operations of Determinants1

• 11
• Determinants & Linear Equations

Adjoint and Evaluation of Inverse of Square Matrix1

• 11
• Adjoint of a Square Matrix

Fundamental Principle of Counting1

• 11
• Permutations and Combinations

Binomial Coefficients1

• 11
• Binomial Theorem

Geometric Progressions1

• 11
• Inequalities

Rational Functions1

• 11
• Limits

Continuity1

• 11
• Continuity

Differentiability1

• 11
• Differentiability

L՚ Hospital Rule1

• 11
• L′ Hospital՚s Rule

Integration by Substitution1

• 11
• Integration

Determining Areas of Regions Bounded by Simple Curves2

• 12
• Area under the Curve
• Area

Use of Differentiation2

• 12
• Method of Differentiation
• Logarithmic Differentiation

Solution of Homogeneous Equations1

• 11
• Differential Equations

Properties-Order and Degree1

• 11
• Differential Equation

Section Formula1

• 11
• Straight Line

Locus and Its Equation2

• 12
• Locus
• Parabola

Equation of a Circle1

• 11
• Circles

Equations of Conic Sections: Parabola1

• 11
• Conic Sections

Equations of Conic Sections: Ellipse1

• 11
• Ellipse

Equations of Conic Sections: Hyperbola1

• 11
• Hyperbola

Scalar and Vector Products1

• 11
• Vectors

Mean, Median and Mode1

• 11
• Statistics

Probability1

• 11
• Probability: Various Cases

Baye՚s Theorem1

• 11
• Probability: Mutually Exclusive Events, Independent Events, Conditional Probability, Compound Events, Baye՚s Theorem, Multinomial Theorem in Probability, Binomial Theorem in Probability, Set Theory and Inclusion Exclusion Principle

Trigonometric Identities and Equations1

• 11
• Trigonometry

Inverse Trigonometric Functions2

• 12
• Inverse Trigonometry Function
• Inverse Trigonometric Functions: Some Useful Graphs

Statements1

• 11
• Mathematical Reasoning

Tautology and Induction1

• 11
• Mathematical Induction

Other Applications of Derivatives1

• 11
• Applications of Derivative

Maxima and Minima3

• 12
• Maxima-Minima
• Maxima-Minima: Functions of Single Variable - Summary-Working Rule
• 21
• Maxima & Minima

Graphs of Simple Functions1

• 11
• Definite Integral