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Class 11

Mathematics

59 lessons in 14 chapters, explained in plain words.

Sets

  1. What is a set?
  2. Empty, finite and equal sets
  3. Subsets and intervals
  4. Union, intersection and difference
  5. Complements and De Morgan's laws
  6. Proving facts about sets

Relations and Functions

  1. Cartesian products
  2. Relations
  3. Functions and their graphs
  4. Algebra of functions
  5. Putting it together

Trigonometric Functions

  1. Angles in degrees and radians
  2. Trigonometric functions of any angle
  3. Finding values
  4. Sum and difference formulas
  5. Multiple angles and sum-to-product
  6. Mixed problems

Complex Numbers and Quadratic Equations

  1. Complex numbers and their algebra
  2. Modulus, conjugate and inverse
  3. The Argand plane and harder problems

Linear Inequalities

  1. What inequalities are
  2. Solving and graphing
  3. Double inequalities and systems

Permutations and Combinations

  1. The fundamental principle of counting
  2. Factorials and ⁿPᵣ
  3. Permutations with repeats and restrictions
  4. Combinations
  5. Mixed counting problems

Binomial Theorem

  1. Pascal's triangle and the binomial theorem
  2. Using the binomial theorem
  3. Harder expansions

Sequences and Series

  1. Sequences and series
  2. Geometric progressions
  3. Geometric mean and problems
  4. Mixed problems

Straight Lines

  1. Slope of a line
  2. Equations of a line
  3. Distances
  4. Mixed problems on lines

Conic Sections

  1. Conic sections and circles
  2. The parabola
  3. The ellipse
  4. The hyperbola
  5. Conics in the real world

Introduction to Three Dimensional Geometry

  1. Coordinates in space
  2. Distance between two points
  3. Loci and mixed problems

Limits and Derivatives

  1. What a limit is
  2. Limits of algebraic functions
  3. Trigonometric limits
  4. The derivative
  5. Rules of differentiation

Statistics

  1. Measures of dispersion
  2. Mean deviation for grouped data
  3. Variance and standard deviation
  4. Using variance

Probability

  1. Events
  2. Probability of events
  3. Counting and probability