11th Class Math Video Lectures Punjab

Math English Medium Book

• Chapter 1 Number Systems
  Introduction, Rational Numbers and Irrational Numbers, Decimal Representation of Rational and Irrational Numbers, Properties of Real Numbers, Exercise, Complex Numbers, Operations on Complex Numbers, Complex Numbers as Ordered Pairs of Real Numbers, Properties of the Fundamental Operations on Complex Numbers, A Special Subset of C, Exercise, The Real Line, The Real Plane or The Coordinate Plane, Geometrical Representation of Complex Numbers The Complex Plane, To find real and imaginary parts of, Exercise 16
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• Chapter 2 Sets, Functions and Groups
  Introduction, Exercise, Operations on Sets, Venn Diagrams, Exercise, Operations on Three Sets, Properties of Union and Intersection, Exercise, Inductive and Deductive Logic, Aristotelian and non-Aristotelian logics, Symbolic logic, Implication or conditional, Biconditional, Conditionals related with a given conditional, Tautologies, Quantifiers, Exercise, Truth Sets, A link between Set Theory and Logic, Exercise, Relations, Functions, Linear and Quadratic Functions, Inverse of a function, Exercise, Binary Operations, Properties of Binary Operations, Groups, Solution of linear equations, Reversal law of inverses 29
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• Chapter 3 Matrices and Determinanls
  Introduction, Addition of Matrices, Scalar Multiplication, Subtraction of Matrices, Multiplication of two Matrices, Determinant of a 2 x 2 matrix, Singular and Non-Singular Matrices, Adjoint of a 2 x 2 Matrix, Inverse of a 2 x 2 Matrix, Solution of simultaneous linear equations by using matrices, Exercise, Field, Properties of Matrix Addition, Scalar Multiplication and Matrix Multiplication, Exercise, Determinants, Minor and Cofactor of an Element of a Matrix or its Determinant, Determinant of a Square Matrix of Order n>=3:, Properties of Determinants which Help in their Evaluation, Adjoint and Inverse of a Square Matrix of Order n>=3, Exercise, Elementary Row and Column Operations on a Matrix, Echelon and Reduced Echelon Forms of Matrices, Exercise, System of Linear Equations, Homogeneous Linear Equations, Non-Homogeneous Linear Equations, Cramers Rule, Exercise 28
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• Chapter 4 Quadratic Equations
  Introduction, Solution of Quadratic Equations, Exercise, Solution of Equations Reducible to the Quadratic Equation, Exercise, Radical Equations, Exercise, Three Cube Roots of Unity, Properties o f Ctibe Roots of Unity, Four Fourth Roots of Unity, Properties of fopr Fourth Roots of Unity, Exercise, Polynomial Function, Theorems, Synthetic Division, Exercise, Relations Between the Roots and the Coefficients of a Quadratic Equation, Formation of an Equation Whose Roots are Given, Exercise, Nature of the roots of a quadratic equation, Exercise, System of Two Equations Involving Two Variables, Exercise, Problems on Quadratic Equations, Exercise 25
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• Chapter 5 Partial Fractions
  Introduction, Rational Fraction, Proper Rational Fraction, Improper Rational Fraction, Resolution of a Rational Fraction P (x)/Q( x) into Partial Fractions, Case I: Non-repeated Linear Factors, Exercise, Case II: Partial Fractions, Exercise, Case III: When Q(x) contains Non Repeated Irreducible Quadratic Factors, Exercise, Case IV: Partial Fractions, Exercise 13
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• Chapter 6 Sequences and Series
  Introduction, Types of sequences, Exercise, Arithmetic Progression (A.P), Exercise, Arithmetic Mean (A.M), n Arithmetic Means Between two given numbers, Exercise, Series, Sum of first n terms of an arithmetic series, Exercise, Word Problems on A.p, Exercise, Geometric Progression (G.P), Exercise, Geometric Means, n Geometric Means Between two given numbers, Exercise, Sum of n terms of a Geometric Series, The Infinite Geometric Series, Exercise, Word Problems on G.P, Exercise, Harmonic Progression (H.P), Harmonic Mean, n Harmonic Means between two numbers, Relations between Arithmetic, Geometric and Harmonic Means, Exercise, Sigma Notation (or Summation Notation), To Find the Formulae for the Sums, Exercise 31
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• Chapter 7 Permutation, Combination and Probability
  Introduction, Exercise, Permutation, Permutation of Things Not All Different, Circular Permutation, Exercise, Exercise, Combination, Complementary Combination, Exercise, Probability, Probability that an Event does not Occur, Estimating Probability and Tally Marks, Addition of Probabilities, Multiplication of Probabilities, Exercise, Exercise, Exercise, Exercise 19
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• Chapter 8 Mathematical Inductions and Bionomial Theorem
  Introduction, Principle of Mathematical Induction, Principle of Extended Mathematical Induction, Exercise, Theorem, The Middle Term in the Expansion of (a + x)n, Some Deductions from the binomial expansion of (a + x)n, Exercise, Theorem, Theorem, Exercise 11
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• Chapter 9 Fundamentals of Trigonometry
  Introduction, Units of Measures of Angles, Sexagesimal System, Circular System (Radians), Relation between the length of an arc of a circle and the circular measure of its central angle, Conversion of Radian into Degree and Vice Versa, Exercise, General Angle (Coterminal Angles), Angle In The Standard Position, Trigonometric Functions, Trigonometric Functions of any angle, Fundamental Identities, Signs of the Trigonometric functions, Exercise, The values of Trigonometric Functions of acute angles 45?, 30? and 60?, The values of the Trigonometric Functions of angles 0?, 90?, 180?, 270?, 360?, Exercise, Domains of Trigonometric functions and of Fundamental Identities, Exercise 19
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• Chapter 10 Trigonometric Identities
  Introduction, The Law of Cosine, Fundamental Law of trigonometry, Deductions from Fundamental Law, Trigonometric Ratios of Allied Angles, Exercise, Further Application of Basic Identities, Exercise, Double angle Identities, Half angle Identities, Triple angle Identities, Exercise, Sum, Difference and Product of Sines and Cosines, Exercise 14
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• Chapter 11 Trigonometric Functions and their Graphs
  Introduction, Domains and Ranges of Sine and Cosine Functions, Domains and Ranges of Tangent and Cotangent Functions, Domain and Range of Secant Function, Domain and Range of Cosecant Function, Period of Trigonometric Functions, Exercise, Values of Trigonometric Functions, Graphs of Trigonometric Functions, Graph of y = sin x from -2pi to 2pi, Graph of y = cos x from -2pi to 2pi, Graph of y = tan x from -pi To pi, Graph of y = cot x From -2pi to, Graph of y = sec x from -2pi to 2pi, Graph of y = csc x from -2pi to 2pi, Exercise 16
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• Chapter 12 Application of Trigonometry
  Introduction, Tables of Trigonometric Ratios, Exercise, Solution of Right Triangles, Exercise, (a) Heights And Distances, Engineering and Heights and Distances, Exercise, Oblique Triangles, The Law of Cosine, The Law of Sines, The Law of Tangents, Half Angle Formulas, Solution of Oblique Triangles, Case I: When measures of one side and two angles are given, Case II: When measures of two sides and their included angle are given, Case. lll: When Measures of Three Sides are Given, Exercise, Exercise, Exercise, Area of Triangle, Exercise, Circles Connected with Triangle, Circum-Circle:, In-Circle, Escribed Circles, Engineering and Circles Connected With Triangles, Exercise 28
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• Chapter 13 Inverse Trigonometric Functions
  Introduction, The Inverse sine Function, The Inverse Cosine Function, Inverse Tangent Function, Inverse Cotangent, Secant and Cosecant Functions, Domains and Ranges of Principal Trigonometric Function and Inverse Trigonometric Functions, Exercise, Addition and Subtraction Formulas, Exercise 9
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• Chapter 14 Solution of Trignometric Equations
  Introduction, Solution of General Trigonometric Equations, Exercise 3
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