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    Std. XII, Maharashtra State Board (Part I and Part II)

    Maths: learn every chapter by watching it happen

    Each topic opens on a full-screen animated stage: move the sliders, drag the scene, watch the forces, fields and graphs change, while the explanation unfolds one step at a time. Then check the formulas, a solved example and a quick question.

    15
    chapters
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    1
    Chapter 1

    Mathematical Logic

    Statements, connectives, truth tables, tautologies, quantifiers, duality and switching circuits.

    Truth tablesTautologyDe MorganSwitching circuits
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    2
    Chapter 2

    Matrices

    Elementary transformations, the inverse of a matrix and solving linear equations.

    Row operationsAdjointInverseCramer and inversion
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    3
    Chapter 3

    Trigonometric Functions

    Trigonometric equations, solutions of triangles and inverse trigonometric functions.

    General solutionSine ruleCosine ruleInverse functions
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    4
    Chapter 4

    Pair of Straight Lines

    Combined equations, homogeneous equations and the general second degree equation.

    ax² + 2hxy + by²Angle between linesCondition h² ≥ abGeneral equation
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    5
    Chapter 5

    Vectors

    Vector algebra, section formula, scalar and vector products, triple products and applications.

    Section formulaDot productCross productBox product
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    6
    Chapter 6

    Line and Plane

    Equations of lines and planes in space, angles, distances and coplanarity.

    Skew linesNormal formAngleDistance
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    7
    Chapter 7

    Linear Programming

    Linear inequations, feasible regions and optimising with the corner point method.

    Half planesFeasible regionCorner pointsOptimum
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    8
    Chapter 8

    Differentiation

    Chain rule, inverse, implicit, logarithmic and parametric differentiation, and higher derivatives.

    Chain ruleImplicitLogarithmicParametric
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    9
    Chapter 9

    Applications of Derivatives

    Tangents and normals, rates of change, approximations, Rolle's and Lagrange's theorems, monotonicity and extrema.

    TangentRate of changeMean valueMaxima and minima
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    10
    Chapter 10

    Indefinite Integration

    Antiderivatives, integration by substitution, by parts and by partial fractions.

    AntiderivativeSubstitutionBy partsPartial fractions
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    11
    Chapter 11

    Definite Integration

    The definite integral as a limit of a sum, the fundamental theorem and properties.

    Riemann sumFundamental theoremPropertiesEven and odd
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    12
    Chapter 12

    Application of Definite Integration

    Areas under curves, between curves and of regions bounded by lines and curves.

    Area under a curveBetween curvesCircle and ellipseParabola
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    13
    Chapter 13

    Differential Equations

    Order and degree, forming and solving equations, linear equations and applications.

    Order and degreeVariables separableLinear DEGrowth and decay
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    14
    Chapter 14

    Probability Distributions

    Random variables, discrete and continuous distributions, expectation and variance.

    Random variablep.m.f.Mean and variancep.d.f.
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    15
    Chapter 15

    Binomial Distribution

    Bernoulli trials and the binomial distribution with its mean and variance.

    Bernoulli trialB(n, p)Mean npVariance npq
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