NEB Class 12 · Science

Mathematics syllabus

Official NEB Class 12 syllabus for Mathematics: 7 chapters and 79 topics. Every chapter links to its notes and solved past questions.

Algebra

24 topics · 15 Q

1.1Fundamental Principle of Counting
1.2Permutations
1.3Combinations
1.4Binomial Theorem for Positive Integral Index
1.5Binomial Theorem for Any Index
1.6General Term and Binomial Coefficients
1.7Application to Approximation
1.8Euler's Number
1.9Exponential and Logarithmic Series
1.10Binary Operations
1.11Group, Finite and Infinite Groups
1.12Abelian Group
1.13Uniqueness of Identity and Inverse
1.14De Moivre's Theorem
1.15Roots of a Complex Number
1.16Cube Roots of Unity
1.17Euler's Formula
1.18Polynomial Equations
1.19Fundamental Theorem of Algebra
1.20Roots of a Quadratic Equation
1.21Relation Between Roots and Coefficients
1.22Mathematical Induction
1.23Sum of Series by Induction
1.24Linear Equations by Cramer's Rule and Matrix Method

Chapter notes →Solved questions →

Trigonometry

6 topics · 5 Q

2.1Inverse Circular Functions
2.2Domains and Principal Ranges
2.3Relations Between Inverse Functions
2.4Addition Formulas for Inverse Functions
2.5Trigonometric Equations
2.6General Solutions of Trigonometric Equations

Chapter notes →Solved questions →

Analytic geometry

12 topics · 10 Q

3.1Standard Equation of an Ellipse
3.2Standard Equation of a Hyperbola
3.3Direction Cosines and Direction Ratios
3.4Angle Between Two Lines
3.5Equation of a Plane
3.6Plane Through Three Points
3.7Plane Through Intersection of Two Planes
3.8Angle Between Two Planes
3.9Parallel and Perpendicular Planes
3.10Distance of a Point From a Plane
3.11Vector Product of Two Vectors
3.12Applications of Vector Product

Chapter notes →Solved questions →

Statistics and Probability

10 topics · 8 Q

5.1Correlation
5.2Karl Pearson's Correlation Coefficient
5.3Spearman's Rank Correlation
5.4Regression Lines
5.5Regression Coefficients
5.6Probability Using Combinations
5.7Addition Law of Probability
5.8Conditional Probability
5.9Binomial Distribution
5.10Mean and Standard Deviation of Binomial Distribution

Chapter notes →Solved questions →

Calculus

16 topics · 16 Q

6.1Derivatives by First Principle
6.2Derivatives of Inverse Trigonometric Functions
6.3Derivatives of Exponential and Logarithmic Functions
6.4Continuity and Differentiability
6.5Hyperbolic Functions and Their Derivatives
6.6L'Hospital's Rule
6.7Tangents and Normals
6.8Rolle's Theorem
6.9Mean Value Theorem
6.10Standard Integrals
6.11Integration by Partial Fractions
6.12Integrals Reducible to Standard Forms
6.13Differential Equations of First Order
6.14Separable Variables
6.15Homogeneous Differential Equations
6.16Linear Differential Equations

Chapter notes →Solved questions →

Computational methods

5 topics · 13 Q

7.1Newton-Raphson Method
7.2Linear Programming by Simplex Method
7.3Trapezoidal Rule
7.4Simpson's Rule
7.5Error Estimation in Numerical Integration

Chapter notes →Solved questions →

Mechanics

6 topics · 12 Q

8.1Composition of Parallel Forces
8.2Resultant of Like Parallel Forces
8.3Resultant of Unlike Parallel Forces
8.4Newton's Laws of Motion
8.5Motion of Connected Particles
8.6Projectile Motion

Chapter notes →Solved questions →

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NEB Class 12 · Science

Mathematics syllabus

Official NEB Class 12 syllabus for Mathematics: 7 chapters and 79 topics. Every chapter links to its notes and solved past questions.

Algebra

24 topics · 15 Q

1.1Fundamental Principle of Counting
1.2Permutations
1.3Combinations
1.4Binomial Theorem for Positive Integral Index
1.5Binomial Theorem for Any Index
1.6General Term and Binomial Coefficients
1.7Application to Approximation
1.8Euler's Number
1.9Exponential and Logarithmic Series
1.10Binary Operations
1.11Group, Finite and Infinite Groups
1.12Abelian Group
1.13Uniqueness of Identity and Inverse
1.14De Moivre's Theorem
1.15Roots of a Complex Number
1.16Cube Roots of Unity
1.17Euler's Formula
1.18Polynomial Equations
1.19Fundamental Theorem of Algebra
1.20Roots of a Quadratic Equation
1.21Relation Between Roots and Coefficients
1.22Mathematical Induction
1.23Sum of Series by Induction
1.24Linear Equations by Cramer's Rule and Matrix Method

Chapter notes →Solved questions →

Trigonometry

6 topics · 5 Q

2.1Inverse Circular Functions
2.2Domains and Principal Ranges
2.3Relations Between Inverse Functions
2.4Addition Formulas for Inverse Functions
2.5Trigonometric Equations
2.6General Solutions of Trigonometric Equations

Chapter notes →Solved questions →

Analytic geometry

12 topics · 10 Q

3.1Standard Equation of an Ellipse
3.2Standard Equation of a Hyperbola
3.3Direction Cosines and Direction Ratios
3.4Angle Between Two Lines
3.5Equation of a Plane
3.6Plane Through Three Points
3.7Plane Through Intersection of Two Planes
3.8Angle Between Two Planes
3.9Parallel and Perpendicular Planes
3.10Distance of a Point From a Plane
3.11Vector Product of Two Vectors
3.12Applications of Vector Product

Chapter notes →Solved questions →

Statistics and Probability

10 topics · 8 Q

5.1Correlation
5.2Karl Pearson's Correlation Coefficient
5.3Spearman's Rank Correlation
5.4Regression Lines
5.5Regression Coefficients
5.6Probability Using Combinations
5.7Addition Law of Probability
5.8Conditional Probability
5.9Binomial Distribution
5.10Mean and Standard Deviation of Binomial Distribution

Chapter notes →Solved questions →

Calculus

16 topics · 16 Q

6.1Derivatives by First Principle
6.2Derivatives of Inverse Trigonometric Functions
6.3Derivatives of Exponential and Logarithmic Functions
6.4Continuity and Differentiability
6.5Hyperbolic Functions and Their Derivatives
6.6L'Hospital's Rule
6.7Tangents and Normals
6.8Rolle's Theorem
6.9Mean Value Theorem
6.10Standard Integrals
6.11Integration by Partial Fractions
6.12Integrals Reducible to Standard Forms
6.13Differential Equations of First Order
6.14Separable Variables
6.15Homogeneous Differential Equations
6.16Linear Differential Equations

Chapter notes →Solved questions →

Computational methods

5 topics · 13 Q

7.1Newton-Raphson Method
7.2Linear Programming by Simplex Method
7.3Trapezoidal Rule
7.4Simpson's Rule
7.5Error Estimation in Numerical Integration

Chapter notes →Solved questions →

Mechanics

6 topics · 12 Q

8.1Composition of Parallel Forces
8.2Resultant of Like Parallel Forces
8.3Resultant of Unlike Parallel Forces
8.4Newton's Laws of Motion
8.5Motion of Connected Particles
8.6Projectile Motion

Chapter notes →Solved questions →

Study Mathematics the smart way

Chapter notes, solved questions & past papers

Keep studying

Study Mathematics

Notes, questions and numericals.

Past papers

NEB Class 12 questions by year.

Browse subjects

All programs and subjects.

NoteTok feed

Short explainer videos.