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Mathematics
In intermediate part 1, mathematics subject is studied by the students of FSc Pre-Engineering and ICS. At inter level mathematics is the major subject for the abovementioned group and every student is needed to study this subject if he has selected Pre-engineering or Computer science. The mathematics book of intermediate part 1 consists of total 14 chapters which includes
It is really very important for the aspirants to get good marks in mathematics of intermediate part 1 and for this purpose it is necessary for them to attend their complete lectures and to understand the each lecture.
For this purpose, ilmkidunya has introduced a new study section named as online study where students of intermediate part 1 will be able to get the online lectures of all the subjects which they want.
On this this page students will be able to get the online lecture on 1st year maths. In case, if any student has missed his/her class due to any reason and now he/she is facing difficulty in understanding the topic he/she doesn’t have any need to worry about it.
Through this section you will be able to learn everything that you find difficult. We have uploaded here complete mathematics lecture of inter part 1 recorded by the best teachers.
The students can view these online lectures as many times as they want without any difficulty. These online lectures of intermediate part 1 are now possible along with the commencement of video communications.
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Introduction - Rational numbers and irrational numbers - Properties of real numbers - Complex numbers - The real line
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
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
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
Introduction - Rational Fraction - Resolution of a Rational Fraction P(x)/Q (x) into Partial Fraction
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
Introduction - Permutation - Combinations - Probability
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
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
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
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
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
Introduction - Solution of General Trigonometric Equations
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