Mathematics (Grade 11)
गणित (कक्षा ११)
Algebra (Logic, Sets, Real Numbers, Polynomials, Complex Numbers, Sequences, Matrices), Trigonometry, Analytic Geometry (Lines, Pair of Lines, 3D Coordinates), Vectors, Statistics & Probability, Calculus (Limits, Derivatives, Integrals), Computational Methods.
Prescribed Chapters
Showing 18 LessonsLogic and Sets
Logic and Sets
तर्क र समूह
Statements, truth values, logical connectives (negation, conjunction, disjunction, conditional, biconditional), truth tables, tautologies, set theorems.
Real Numbers and Absolute Values
Real Numbers and Absolute Values
वास्तविक सङ्ख्या र निरपेक्ष मान
Properties of real numbers, geometric representation on real number line, bounded/unbounded intervals, absolute value properties, solving inequalities.
Functions and Curve Sketching
Functions and Curve Sketching
फलन र वक्र रेखाचित्र
Domain and range, composite functions, inverse functions, odd and even functions, periodic functions, sketching polynomial and transcendental curves.
Sequence, Series and Progressions
Sequence, Series and Progressions
अनुक्रम र श्रेणी
Arithmetic Progression (AP), Geometric Progression (GP), Harmonic Progression (HP), relations between AM, GM, and HM, infinite geometric series.
Matrices and Determinants
Matrices and Determinants
म्याट्रिक्स र डिटरमिनेन्ट
Determinant of 3x3 matrices, properties of determinants, adjoint matrix, inverse of square matrices, solving linear systems by Cramer Rule and Matrix Method.
Polynomials, Quadratics & Complex Numbers
Polynomials, Quadratics & Complex Numbers
बहुपद, वर्ग समीकरण र काल्पनिक सङ्ख्या
Fundamental theorem of algebra, relation between roots and coefficients, complex numbers algebra, modulus, conjugate, square root of complex numbers.
Trigonometry & Inverse Functions
Trigonometry & Inverse Functions
त्रिकोणमिति र व्युत्क्रम फलन
Properties of triangle (sine, cosine, projection rules), inverse trigonometric functions (arcsin, arccos, arctan), general solutions of trigonometric equations.
Analytic Geometry: Straight Lines
Analytic Geometry: Straight Lines
निर्देशाङ्क ज्यामिति: सरल रेखा
Perpendicular distance from a point to a line, distance between parallel lines, equations of bisectors of angles between two straight lines.
Pair of Straight Lines
Pair of Straight Lines
सरल रेखाको जोडी
Homogeneous equation of second degree ax² + 2hxy + by² = 0, angle between pair of lines, condition for perpendicularity and coincidence, angle bisectors.
Coordinates in Space (3D Geometry)
Coordinates in Space (3D Geometry)
त्रिविमीय ज्यामिति (3D Space)
Cartesian coordinates in 3D, distance formula, section formula, direction cosines (l, m, n) and direction ratios (a, b, c), angle between two lines.
Vectors in 3D & Linear Dependence
Vectors in 3D & Linear Dependence
भ्याक्टर र रैखिक निर्भरता
Collinear and coplanar vectors, linear combination of vectors, linear dependence and independence, scalar dot product, vector cross product.
Statistics and Probability
Statistics and Probability
तथ्याङ्कशास्त्र र सम्भाव्यता
Standard deviation, variance, coefficient of variation, Karl Pearson coefficient of skewness, addition and multiplication theorems of probability.
Limits and Continuity (Calculus)
Limits and Continuity (Calculus)
सीमा र निरन्तरता (कैलकुलस)
Indeterminate forms, standard limit theorems (algebraic, trigonometric, exponential, logarithmic), continuity at a point, piecewise functions.
Derivatives & Applications
Derivatives & Applications
अवकलन (डेरिभेटिभ)
First principle definition of derivative, differentiation rules (product, quotient, chain, parametric, implicit), higher derivatives, maxima/minima.
Anti-Derivatives (Integration)
Anti-Derivatives (Integration)
समाकलन (इन्टिग्रेशन)
Indefinite integrals, integration by substitution, integration by parts, standard algebraic and trigonometric integrals, definite integrals, area.
Computational Methods (Numerical Analysis)
Computational Methods (Numerical Analysis)
गणना विधि (Numerical Methods)
Bisection method, Newton-Raphson method for finding real roots of algebraic/transcendental equations, Trapezoidal rule and Simpson 1/3 rule.
Mechanics — Statics
Mechanics — Statics
यान्त्रिकी — स्थिति विज्ञान (Statics)
Parallelogram law of forces, triangle of forces, Lami's theorem, resolution of coplanar forces in equilibrium, parallel forces, couples and moments.
Mechanics — Dynamics
Mechanics — Dynamics
यान्त्रिकी — गति विज्ञान (Dynamics)
Kinematics of rectilinear motion with uniform acceleration, vertical motion under gravity, projectile motion, motion on smooth and rough inclined planes.