1st year, FSc Part 1, 11th Class Mathematics Video Lectures in Urdu

Number Systems

Introduction - Rational numbers and irrational numbers - Properties of real numbers - Complex numbers - The real line

Sets,Functions and Groups

Introduction - Operations on Sets - Venn Diagrams - Operations on Three Sets - Properties of Union and Intersection - Inductive and Deductive Logic - Implication or Conditional - Truth Seats, A Link between Set Theory and Logic - Relations - Functions - Inverse of a Function - Binary Operations - Groups - Solution of Linear Equations - Reversal Law of Inverses

Matrices and Determinants

Introduction - Determinant of a 2×2 matrix - Solution of simultaneous linear equations by using matrices - Field - Properties of Matrix Addition, Scalar Multiplication and Matrix Multiplicaton. - Determinants - Properties of Determinants with help in their Evaluation - Adjoint and Inverse of a Square Matrix of order n≥3 - Elementary Row and Column Operations on a Matrixn - Echelon and Reduce Echelon form of Martices - System of Linear Equation - Cramer`s Rule

Quadratic Equations

Introduction - Solutions of Equations Reducible to the Quadratic Equation - Three Cube Roots of Unity - Four Fourth Roots of Unity - Polynomial Function - Theorems - Synthetic Division - Relations between the Roots and the Coefficients of a Quadratic Equation - Formation of an Equation whose Roots are given - Nature of the Roots of Quadratic Equation - System of two Equations Involving two Variables - Problems on Quadratic Equationsa

Partial Fractions

Introduction - Rational Fraction - Resolution of a Rational Fraction P(x)/Q (x) into Partial Fraction

Sequences and Series

Introduction - Types of Sequences - Arithmetic Progression(A.P) - Aritmetic Mean (A.M) - Series - World Problems on A.P. - Geometric Progression(G.P) - Geometric Means - Sum of n terms of a Geometric Series - The Infinite Geometric Series - World Problems on G.P. - Harmonic Progression(H.P) - Relation between Arithmic, Geometric and Harmonic Means - Sigma Notation(or Summation Notation) - To find the Formulae of Sum

Permutation,Combination and Probability

Introduction - Permutation - Combinations - Probability

Mathematical Inductions and Binomial Theorem

Introduction - Principle of Mathematical Induction - Principle of Extended Mathematical Induction - Binomial Theorem - The Binomial Theorem when the index n is a negative Integer or a FRACTION - Application of the Binomial Theorem

Fundamentals of Trigonometry

Introduction - Principle of Mathematical Induction - Principle of Extended Mathematical Induction - Binomial Theorem - The Binomial Theorem when the index n is a negative Integer or a FRACTION - Application of the Binomial Theorem

Trigonometric Identities Sum and Difference of Angles

Introduction - Deductions from Fundamental Law - Trigonometric Ratios of Allied Angles - Further Application of Basic Identities - Double angle Identities - Half angle Identities - Triple angle Identities - Sums, Difference and Product of Sines and Cosines

Trigonometric Functions and their Graphs

Introduction - Period of Trigonometric Functions - Values of Trigonometric Functions - Graphs of Trigonometric Functions - Graph of y=sinx from −2π to 2 - Graph of y=cosx π from −2π to 2π - Graph of y=tanx from −π to π - Graph of y=cotxfrom −2π to π - Graph of y=secx from −2π to 2π - Graph of y=cscx from −2π to 2π

Application of Trigonometry

Introduction - Tables of Trigonometric Ratios - Solution of Right Triangles - Heights and Distances - Engineering and Heights and Distances - Oblique Triangles - Solution of Oblique Triangles - Area of Triangle - Circles Connected with Triangle - Engineering and Circles Connected with Triangles

Inverse Trigonometric Functions

Introduction - The Inverse Sine Function - The Inverse Cosine Function - The Inverse Tangent Function - Inverse Cotangent, Secant and Cosecant Functions - Domains and Ranges of Principal Trigonometric Fuunction and Inverse Trigonometri - Addition and Subtraction Formulas

Solutions of Trigonometric Equations

Introduction - Solution of General Trigonometric Equations

Paper Pattern

Paper Pattern

11th Class Online Test