Class 11 Mathematics Dashboard
Curriculum 2078
Grade 11 Mathematics
Complete step-by-step solutions, model questions, and vital conceptual frameworks designed for your success.
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7
Areas
20
Chapters
160
Working Hrs
75
Total Marks
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1. Algebra
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1.1 Logic and Set
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📄 Introduction 💡 Concept Note 📝 Exercise
1.2 Real numbers
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📄 Introduction 💡 Concept Note 📝 Exercise
1.3 Function
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📄 Introduction 💡 Concept Note 📝 Exercise
1.4 Curve sketching
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📄 Introduction 💡 Concept Note 📝 Exercise
1.5 Sequence and series
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📄 Introduction 💡 Concept Note 📝 Exercise
1.6 Matrices and determinants
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📄 Introduction 💡 Concept Note 📝 Exercise
1.7 Quadratic equation
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📄 Introduction 💡 Concept Note 📝 Exercise
1.8 Complex number
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📄 Introduction 💡 Concept Note 📝 Exercise
Working Hours: 44
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2. Trigonometry
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2.1 Inverse circular functions
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📄 Introduction 💡 Concept Note 📝 Exercise
2.2 Trigonometric equations
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📄 Introduction 💡 Concept Note 📝 Exercise
Working Hours: 12
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3. Analytic Geometry
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3.1 Straight Line
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📄 Introduction 💡 Concept Note 📝 Exercise
3.2 Pair of straight lines
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📄 Introduction 💡 Concept Note 📝 Exercise
3.3 Coordinates in space
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📄 Introduction 💡 Concept Note 📝 Exercise
Working Hours: 20
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4. Vectors
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4.1 Vectors
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📄 Introduction 💡 Concept Note 📝 Exercise
Working Hours: 12
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5. Statistics & Probability
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5.1 Measure of Dispersion
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📄 Introduction 💡 Concept Note 📝 Exercise
5.2 Probability
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📄 Introduction 💡 Concept Note 📝 Exercise
Working Hours: 12
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6. Calculus
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6.1 Limits and continuity
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📄 Introduction 💡 Concept Note 📝 Exercise
6.2 Derivatives
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📄 Introduction 💡 Concept Note 📝 Exercise
6.3 Anti-derivatives
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📄 Introduction 💡 Concept Note 📝 Exercise
Working Hours: 48
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7. Comp. Methods / Mechanics
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7.1 Numerical computation
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📄 Introduction 💡 Concept Note 📝 Exercise
7.2 Numerical integration
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📄 Introduction 💡 Concept Note 📝 Exercise
Or Mechanics
7.1 Statics
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📄 Introduction 💡 Concept Note 📝 Exercise
7.2 Dynamics
▼
📄 Introduction 💡 Concept Note 📝 Exercise
Working Hours: 12
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Model Questions
Chapterwise Model Questions for Class 11 will be updated soon.
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1. Algebra
▼

Learning Outcomes

  • 1.1 Be acquainted with logical connectives and construct truth tables.
  • 1.2 Prove set identities.
  • 1.3 Define interval and absolute value of real numbers.
  • 1.4 Find domain and range of a function.
  • 1.5 Find inverse function and calculate composite function of given functions.
  • 1.6 Define odd and even functions, periodicity of a function, monotonicity of a function.
  • 1.7 Sketch graphs of Quadratic, Cubic and rational functions of the form 1 ax + b where a 0, Trigonometric (asinbx and acosbx), exponential (ex), logarithmic function (lnx)
  • 1.8 Define and classify sequence and series.
  • 1.9 Solve the problems related to arithmetic, geometric and harmonic sequences and series.
  • 1.10 Establish relation among A.M, G. M and H.M.
  • 1.11 Find the sum of infinite geometric series .
  • 1.12 Obtain transpose of matrix and verify its properties.
  • 1.13 Calculate minors, cofactors, adjoint, determinant and inverse of a square matrix.
  • 1.14 Solve the problems using properties of determinants.
  • 1.15 define polynomial function and polynomial equation.
  • 1.16 State and apply fundamental theorem of algebra.
  • 1.17 Find roots of a quadratic equation and establish the relation between roots and coefficient.
  • 1.18 Form a quadratic equation with given roots.
  • 1.19 Define a complex number and solve the problems related to algebra of complex numbers.
  • 1.20 Find conjugate and absolute (modulus) value of a complex numbers and verify their properties.
  • 1.21 Find square root of a complex number.

Scope and Sequence (Working Hrs: 44)

1.1 Logic and Set:
Statements, logical connectives, truth tables, theorems based on set operations.
1.2 Real numbers:
Geometric representation of real numbers, interval, absolute value.
1.3 Function:
Domain and range of a function, Inverse function, composite function, introduction of functions; algebraic (linear, quadratic & cubic), Transcendental (trigonometric, exponential, logarithmic)
1.4 Curve sketching:
Odd and even functions, periodicity of a function, symmetry (about origin, X-and Y-axis), monotonicity of a function, sketching the graphs of Quadratic, Cubic and rational functions of the form 1 ax + b where a 0, Trigonometric (asinbx and acosbx), exponential (ex), logarithmic function (lnx)
1.5 Sequence and series:
Arithmetic, geometric, harmonic sequences and series and their properties A.M, G.M, H.M and their relations, sum of infinite geometric series
1.6 Matrices and determinants:
Transpose of a matrix and its properties, Minors and cofactors, Adjoint, Inverse matrix, Determinant, Properties of determinants (without proof)
1.7 Quadratic equation:
Nature and roots of a quadratic equation, Relation between roots and coefficient. Formation of a quadratic equation, Symmetric roots, one or both roots common.
1.8 Complex number:
Imaginary unit, algebra of complex numbers, geometric representation, absolute (Modulus) value and conjugate of a complex numbers and their properties, square root of a complex number.
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2. Trigonometry
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Learning Outcomes

  • 2.1 Define inverse trigonometric functions and establish the relations on inverse trigonometric functions.
  • 2.2 Find the general solution of trigonometric equations.

Scope and Sequence (Working Hrs: 12)

2.1 Inverse circular functions.
2.2 Trigonometric equations and general values
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3. Analytic Geometry
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Learning Outcomes

  • 3.1 Find the length of perpendicular from a given point to a given line
  • 3.2 Find the equation of bisectors of the angles between two straight lines
  • 3.3 Write the condition of general equation of second degree in x and y to represent a pair of straight lines
  • 3.4 Find angle between pair of lines and bisectors of the angles between pair of lines given by homogenous second degree equation in x and y
  • 3.5 Find the distance between two points in space, and direction cosines and ratios of a line.

Scope and Sequence (Working Hrs: 20)

3.1 Straight Line:
Length of perpendicular from a given point to a given line, Bisectors of the angles between two straight lines.
3.2 Pair of straight lines:
General equation of second degree in x and y, condition for representing a pair of lines, Homogenous second-degree equation in x and y, angle between pair of lines, Bisectors of the angles between pair of lines
3.3 Coordinates in space:
Points in space, distance between two points, direction cosines and ratios of a line
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4. Vectors
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Learning Outcomes

  • 4.1 Identify collinear and non-collinear vectors
  • 4.2 Fdentify coplanar and non-coplanar vectors.
  • 4.3 Frite linear combination of vectors.
  • 4.4 Identify linearly dependent and independent of vectors

Scope and Sequence (Working Hrs: 12)

4.1 Vectors:
Collinear and non collinear vectors, coplanar and non-coplanar vectors, linear combination of vectors, Linearly dependent and independent
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5. Statistics and Probability
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Learning Outcomes

  • 5.1 Calculate standard deviation, variance and coefficient of variation
  • 5.3 Calculate coefficient of skewness by Karl Pearson method.
  • 5.4 Define random experiment, sample space, event, equally likely cases, mutually exclusive events, exhaustive cases, favorable cases, independent and dependent events.
  • 5.5 Find the probability using two basic laws of probability.

Scope and Sequence (Working Hrs: 12)

5.1 Measure of Dispersion:
Standard deviation, variance, coefficient of variation, Skewness, Karl Pearson's coefficient of skewness
5.2 Probability:
Independent cases, mathematical and empirical definition of probability, two basic laws of probability (without proof).
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6. Calculus
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Learning Outcomes

  • 6.1 Define limits of a function.
  • 6.2 Identify indeterminate forms.
  • 6.3 Apply algebraic properties of limits.
  • 6.4 Evaluate limits by using theorems on limits of algebraic, trigonometric, exponential and logarithmic functions.
  • 6.5 Define and test continuity of a function.
  • 6.6 Define and classify discontinuity.
  • 6.7 Interpret derivatives geometrically.
  • 6.8 Find the derivatives of a function by the first principle (algebraic, trigonometric, inverse trigonometric exponential and logarithmic functions).
  • 6.9 Find the derivatives by using rules of differentiation (sum, difference, constant multiple, chain rule, product rule, quotient rule, power and general power rules).
  • 6.10 Find the derivatives of parametric and implicit functions.
  • 6.11 Calculate higher order derivatives.
  • 6.12 Check the monotonicity of a function using derivative.
  • 6.13 Find extreme values of a function.
  • 6.14 Find the concavity of function by using derivative.
  • 6.15 Define integration as reverse of differentiation.
  • 6.16 Evaluate the integral using basic integrals.
  • 6.17 Integrate by substitution and by parts method.
  • 6.18 Evaluate the definite integral.
  • 6.19 Find area between two curves.

Scope and Sequence (Working Hrs: 48)

6.1 Limits and continuity:
Limits of a function, indeterminate forms. algebraic properties of limits (without proof), Basic theorems on limits of algebraic, trigonometric, exponential and logarithmic functions, continuity of a function, types of discontinuity, graphs of discontinuous function.
6.2 Derivatives:
Derivative of a function, derivatives of algebraic, trigonometric, inverse of trigonometric, exponential and logarithmic functions by definition (simple forms), rules of differentiation. derivatives of parametric and implicit functions, higher order derivatives, geometric interpretation of derivative, monotonicity of a function, interval of monotonicity, extreme values of a function, concavity, points of inflection.
6.3 Anti-derivatives:
Integration using basic integrals, integration by substitution and by parts methods, the definite integral, the definite integral as an area under the given curve, area between two curves.
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7. Computational Methods / Or Mechanics
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Learning Outcomes

  • 7.1 Solve algebraic equation and transcendental equation by bisection method, Newton-Raphson method and find approximate error by these methods
  • 7.2 Integrate numerically by trapezoidal rule and Simpson's rule
  • Or Mechanics
  • 7.1 Find resultant forces by parallelogram of forces.
  • 7.2 Solve the problems related to composition and resolution of forces.
  • 7.3 Obtain resultant of coplanar forces/vectors acting on a point.
  • 7.4 Solve the problems of motion of particle in a straight line, motion with uniform acceleration, motion under the gravity, motion in a smooth inclined plane.

Scope and Sequence (Working Hrs: 12)

7.1 Numerical computation:
Roots of algebraic and transcendental equation (bisection and Newton-Raphson method)
7.2 Numerical integration:
Trapezoidal rule and Simpson's rule
Or Mechanics
7.1 Statics:
Forces and resultant forces, parallelogram law of forces, composition and resolution of forces, Resultant of coplanar forces acting on a point.
7.2 Dynamics:
Motion of particle in a straight line, Motion with uniform acceleration, motion under the gravity, motion down a smooth inclined plane.

Secondary Education Examination

Test Specification Chart, 2078

Grade: 12 Subject: Mathematics (Mat. 008)
SN Content Area Work
ing
hour		 Competency level Areawi
se
Marks		 Number
of
Questions
Knowledge Understanding Application Higher Ability
MCQSAQ MCQSAQLAQ MCQSAQLAQ MCQSAQLAQ
No. of Questions
Marks
No. of Questions
Marks
No. of Questions
Marks
No. of Questions
Marks
No. of Questions
Marks
No. of Questions
Marks
No. of Questions
Marks
No. of Questions
Marks
No. of Questions
Marks
No. of Questions
Marks
No. of Questions
Marks
1Algebra31 2 2 2 10 5 5 1 5 1 8 2 2 4 20 1 8 2 2 1 5 1 8 20 MCQ: 2
SAQ: 2
LAQ: 1
2Trigonometry8 5 MCQ: 5
SAQ: 2
LAQ: 1
3Analytic Geometry13 8
4Vector7 4
5Statistics and Probability9 6
6Calculus31 20 MCQ: 2
SAQ: 2
LAQ: 1
7Computational methods10 6 MCQ: 1
SAQ: 1
8Mechanics or Mathematics for Economics and Finance11 6 MCQ: 1
SAQ: 1
Total Marks 120 12 18 30 15 75 MCQ: 11
SAQ: 8
LAQ: 3