11th Class Notes

The New Grade 11 Mathematics textbook, also known as FSc Part 1, focuses on advanced algebra and trigonometry.

Table of Contents:

  • Complex Numbers: Recognition of Real and Imaginary parts, Complex Polynomials

  • Functions and Graphs: Concept of Function, Real life Application

  • Theory of Quadratic Functions: Concept of Quadratic Function, Absolute Value 

  • Matrices and Determinants:Concept of Matrix, Determinants, Echelon and Reduced Echelon forms of Matrices, Cramer’s rule, Homogenous and non homegenous linear equation.

  • Partrial Fractions: Rational Fraction

  • Sequences and Series: Sequence, Arithmetic Prograssion or Sequence (A.P), Arithmetic Mean(A.M), (G.P), (G.M), (G.S), (A.G.P), Harmonic Progrssion (H.P)

  • Permutation and Combination: Fundamental Principle of Counting, Permutation, Combination

  • Mathematical Induction and Binomial Theorem: Principle of Mathematical Induction, Binomial Theorem

  • Division of Polynomials: Polynomial Function, Real Life Application of Remainder and Factor Theorem

  • Trignometric Identities: Distance Formula, Trignometric Ratios of Allied Angles, Double, Half, Triple Angle Identities

  • Trigonometric Functions and their Graphs: Domains and Range of Sine and Cosine Functions, Period, Value of Trigonometry Functions, Maximum and Minimum Values

  • Limits and Continuity: Limit of a Function, Continuity and Discontinuity of Functions

  • Differentiation: Connection between Derivative and Continuity

  • Vectors in Space: Vectors, Scalor Triple Product

Notes

Chapter 1
  • Exercise 1.1
  • Exercise 1.2
  • Exercise 1.3
  • Exercise 1.4
Chapter 2
  • Exercise 2.1
  • Exercise 2.2
  • Exercise 2.3
  • Exercise 2.4
Chapter 3
  • Exercise 3.1
  • Exercise 3.2
  • Exercise 3.3
  • Exercise 3.4
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