ISCE 11 Syllabus 2020
Mathematics
Set, Equivalent Set, Disjoint Set, Super Set, Subset, Complement of set, Power Set, Operations on Sets, Idempotent Laws, Identity Laws, Commutative Laws, Associative Laws, Distributive Laws, Demorgan’s Laws, Venn Diagram, Ordered Pairs,
Relations & Functions
Cartesian Product of Sets, Relations, Function, Domain, Range, Algebra of Real Functions, Composition of Functions, Invertible Function, Binary Operations
Mathematical Induction
Mathematical Deduction, Mathematical Induction, Principle of Mathematical Induction
Mathematical Reasoning
Mathematical Statement, Simple Statement, Negation of Statement, Compound Statement, Connectives, Implications, Contrapositive & Converse Statement, Quantifiers, Contradiction
Complex Numbers
Complex Numbers, Algebra of Complex Numbers, Modulus and the Conjugate, Argand Plane, Polar Representation, Quadratic Equations
Roots of Equation, Linear Equation, Quadratic Equation, Cubic Equation
Linear Inequalities, Algebraic Solution of Linear Equation, Graphical Solution of Linear Equation
Permutation & Combination
Principle of Counting, Permutation, Factorial, Circular Permutation, Combination, Restrictive Permutation, Restrictive Combination.
Binomial Theorem
Binomial Theorem for Positive Integral Indices, Pascal’s Triangle, General and Middle Terms
Sequence, Series, Arithmetic Progression, Arithmetic Mean, Geometric Progression, Geometric Mean
Trigonometric Functions
Angles, Measurement of Angles, Trigonometric Functions, Sign of Trigonometric Functions, Domain and range of trigonometric functions, Inverse Trigonometrical Functions
Lines
Straight Lines, Slope of line, Angle between lines, Collinearity, Equation of a Line, Distance of a Point From Line
Conic Sections
Section of a cone, Circle, Parabola, Ellipse, Hyperbola,
3D Geometry
Coordinate Axes and & Planes in 3D Space, Coordinates of a Point in Space, Distance between Two Points in 3D space, Section Formula in 3D space, Direction Cosines and Direction Ratios of a Line, Equation of a Line in Space, Angle between Two Lines, Distance between Two Lines, Equation of a plane, Coplanarity of Two Lines, Angle between Planes, Distance of a Point from a Plane, Angle between a Line and a Plane,
Limit of Function, Algebraic Limits, Right &Left Hand Limit, Infinite Limit, Factorisation, Rationalisation Method, Continuity, Continuity of Function
Calculus, Differentiation, Derivative, Derivative Function, Implicit functions, Parametric Function, Derivative Of Function Of A Function, Second Order Derivative, Partial Derivative, Logarithmic Differentiation, Extreme of differentiable Function, Maxima and Minima, Applications of Maxima and Minima,
Arithmetic Mean, Geometric Mean, Harmonic Mean, Mode, Median, Deviation, Weighted Arithmetic Average, Weighted Geometric Mean, Weighted Harmonic Mean, Continuous Series, Grouped Frequency Distribution, Quartiles, Deciles, Percentiles
Dispersion, Range. Quartile Deviation, Mean Deviation, Standard Deviation, Discreet Series, Continuous Series
Correlation, Measures of Correlation, Correlation Co-efficient, Rank Correlation, Concurrent Deviations, Graphical & Algebraic Method of Regression Analysis, Deviation from Means, Co-efficient of Regression
Random Experiment, Sample Space, Events & Outcome, Statistical Probability Theories, Total Probability Theorems, Mutually Exclusive & Dependent Events, Compound Probability, Conditional Probability, Bernoulli’s Theorem, Expected Value
Index Number Construction of Index Numbers, Simple Aggregate, Weighted Aggregate, Laspeyres Method, Paasche’s Method, Fisher’s Method, Marshall-Edgeworth method, Chain Index Number, Shifting of Index Number, Splicing of Index Number, Consistency Tests.
