The Best Class 11 Maths Handwritten Notes

Sets and their Representations, Types of Sets, Subsets and the Universal Set, Intervals as Subsets of R, Operations on Sets, Laws of Operations and De Morgan’s Laws.

Ordered Pairs and Cartesian Product, Relations, Functions, Some Real Functions and Their Graphs, Exponential and Logarithmic Functions, Algebra of Real Functions.

Angles, Degree and Radian Measure, Trigonometric Functions on the Unit Circle, Signs of Trigonometric Functions, Values at Standard Angles, Graphs of Trigonometric Functions, Allied Angles, Sum and Difference Formulas, Multiple Angle Formulas, Sum ⇄ Product Formulas.

Need for Complex Numbers — the Number i, Algebra of Complex Numbers, Powers of i, Square Roots of Negative Real Numbers, Identities, Modulus and Conjugate, Argand Plane.

Inequalities — Basic Terms, Solution of an Inequality, Rules for Solving Inequalities, Steps to Solve a Linear Inequality, Showing the Solution on the Number Line, Double Inequalities and Systems.

Fundamental Principle of Counting, Factorial Notation, Permutations — All Objects Different, Permutations When Objects Are Not All Different, Useful Methods for Arrangements, Combinations, Properties of nCr, Permutation or Combination?.

Notation, Expansions and Their Pattern, Pascal’s Triangle, Binomial Theorem, Special Cases, Simple Applications.

Sequences, Series, Arithmetic Mean (A.M.), Geometric Progression (G.P.), Sum of n Terms of a G.P., Infinite G.P. and Its Sum, Geometric Mean (G.M.), Relation between A.M. and G.M..

Recall from Earlier Classes, Slope (Gradient) of a Line, Parallel and Perpendicular Lines, Angle between Two Lines, Equation of a Line — Various Forms, Distance: Point to Line & Parallel Lines.

Sections of a Cone, Circle, Parabola, Ellipse, Hyperbola, Comparing the Conics.

Notation, Axes, Coordinate Planes and Octants, Coordinates of a Point in Space, Distance between Two Points, Distance from planes.

Intuitive Idea of Derivative, Limits — Meaning and Notation, Algebra of Limits, Limits of Polynomial and Rational Functions, Limits of Trigonometric Functions, Derivative at a Point, Derivative from the First Principle, Algebra of Derivatives, Derivatives of Standard Functions.

Measures of Dispersion, Mean Deviation, Mean Deviation — Grouped Data, Variance and Standard Deviation, Shortcut (Step-Deviation) Method, Comparing the Measures.

Events, Types of Events, Algebra of Events, Mutually Exclusive and Exhaustive Events, Event Language ↔ Set Language, Axiomatic Approach to Probability, Equally Likely Outcomes, Probability of the Event “A or B”, Probability of the Event “not A”.