Scolar

Mathematics

Ten Plus Two (+2) Science · Grade 11

15 units 45 topics 5 credit hours

Algebra, trigonometry, calculus, geometry and statistics.

UnitChapter & topics
1

Logic, Sets & Real Number System

  • • Statements and connectives
  • • Set operations
  • • Completeness of real numbers
2

Sequences & Series

  • • Arithmetic progression
  • • Geometric progression
  • • Harmonic means
3

Matrices & Determinants

  • • Matrix operations
  • • Inverse of a matrix
  • • Cramer's rule
4

Analytic Geometry: Straight Lines

  • • Slope and intercepts
  • • Angle between lines
  • • Distance formulae
5

Analytic Geometry: Pair & Conic Sections

  • • Pair of straight lines
  • • Circle
  • • Parabola, ellipse and hyperbola
6

Trigonometry

  • • Inverse circular functions
  • • Trigonometric equations
  • • Properties of triangles
7

Vectors

  • • Vector algebra
  • • Linear dependence
  • • Geometric applications
8

Statistics

  • • Descriptive statistics
  • • Dispersion measures
  • • Quartile deviation
9

Probability

  • • Classical probability
  • • Conditional probability
  • • Bayes' theorem intro
10

Limits & Continuity

  • • Limits of functions
  • • Continuity tests
  • • Asymptotes
11

Derivatives

  • • Rules of differentiation
  • • Higher order derivatives
  • • Tangent and normal
12

Applications of Derivatives

  • • Maxima and minima
  • • Rate of change
  • • Monotonicity
13

Antiderivatives & Integration

  • • Indefinite integrals
  • • Definite integrals
  • • Area under curves
14

Complex Numbers

  • • Algebra of complex numbers
  • • Argand plane
  • • De Moivre's theorem
15

Elementary Number Theory & Groups

  • • Divisibility and GCD
  • • Modular arithmetic intro
  • • Group axioms