Powerpoint Presentation

We are glad to inform all teachers of mathematics of National University that Powerpoint Presentation for multimedia class are now available in our website. Here you can download slide of all courses.

---> Honours 1st year <---

Fundamentals of Mathematics

Chapter-1 Download
Chapter-2 Download
Chapter-3 Download
Chapter-4 Download
Chapter-5 Download
Chapter-6A Download
Chapter-6B Download
Chapter-7 Download
Chapter-8A Download
Chapter-8B Download
Chapter-9A Download
Chapter-9B Download

Calculus-I

Ch-1 Download Ch-2A Download
Ch-2B Download Ch-2C Download
Ch-3A Download Ch-3B Download
Ch-3C Download Ch-3D Download
Ch-4 Download Ch-5 Download
Ch-6A Download Ch-6B Download
Ch-7A Download Ch-7B Download
Ch-8 Download Ch-9A Download
Ch-9B Download Ch-9C Download
Ch-9D Download Ch-9E Download
Ch-9F Download Ch-10A Download
Ch-10B Download Ch-10C Download
Ch-11 Download Ch-12 Download
Ch-13 Download Ch-14A Download
Ch-14B Download Ch-15A Download
Ch-15B Download Ch-16 Download
Download All Chapter Download

Linear Algebra

Ch-1A (Matrix) Download
Ch-1B (Determinant) Download
Ch-1C (Rank of Matrices and Inverse Matrices) Download
Ch-2 (Vectors in Rn and Cn) Download
Ch-3A (System of Linear Equations) Download
Ch-3B (SOLUTION OF THE SYSTEM OF LINEAR EQUATIONS BY MATRIX AND DETERMINENT) Download
Ch-4A (Vector Space and Subspaces) Download
Ch-4B (LINEAR COMBINATION, DEPENDENCE AND INDEPENDENCE) Download
Ch-4C (Genarators, Basis and Dimension) Download
Ch-4D (Row Space, Column Space, Null Space and Solution Space) Download
Ch-5A (Linear Transformation) Download
Ch-5B (Matrix Representation) Download
Ch-6 (EIGENVALUES AND EIGENVECTORS) Download

Analytic & Vector Geometry

Ch-1 (Transformation of Coordinates) Download
Ch-2 (PAIR OF STRAIGHT LINE) Download
Ch-3 (GENERAL SOLUTION OF SECOND DEGREE IN TWO DIMENSION) Download
Ch-4 (CIRCLES & SYSTEM OF CIRCLES) Download
Ch-5A (THREE DIMENSIONAL CARTESIAN COORDINATES) Download
Ch-5B (OTHER CO-ORDINATE SYSTEMS) Download
Ch-6 (Planes) Download
Ch-7 (THE STRAIGHT LINE ) Download
Ch-8 (SPHERE) Download
Ch-9A (CONICOIDS) Download
Ch-9B (General Equation of Second degree) Download
Ch-10A (Vectors) Download
Ch-10B (SCALAR PRODUCT AND VECTOR PRODUCT) Download
Ch-10C (Vector Equations of Straight Lines and Planes) Download

Fundamentals of Mathematics (Non-major)

Ch-1 () Download

---> Honours 2nd year <---

Calculus-II

Ch-1 (VECTOR VALUED FUNCTION) Download
Ch-2 (CURVATURE) Download
Ch-3 (FUNCTIONS OF SEVERAL VARIABLES) Download
Ch-4 (JACOBIAN, DEPENDENCY AND INDEPENDENCY OF FUNCTIONS) Download
Ch-5 (EXPANSION OF THE FUNCTION OF MORE THAN ONE VARIABLE) Download
Ch-6 (EXTREME VALUE OF FUNCTIONS OF SEVERAL VARIABLES) Download
Ch-7 (SUCCESSIVE INTEGRARTION) Download
Ch-8 (MULTIPLE INTEGRAL) Download
Ch-9 (AREA AND VOLUME) Download
Ch-10 (DIRICHLET'S THEOREM) Download
Ch-11 (VECTOR DIFFERENTIAL OPERATOR AND) Download
Ch-12 (VECTOR INTEGRAL) Download
Ch-13 (GREEN, GAUSS AND STOKES THEOREM) Download

Ordinary Differential Equations

Ch-1 (INTRODUCTION) Download
Ch-2 (FORMULATION OF DIFFERENTIAL EQUATIONS) Download
Ch-3 (EXISTENCE AND UNIQUENESS THEOREMS ) Download
Ch-4A (VARIABLES SEPARABLE DIFFERENTIAL EQUATION) Download
Ch-4B (HOMOGENEOUS DIFFERENTIAL EQUATIONS) Download
Ch-4C (DIFFERENTIAL EQUATIONS REDUCIBLE TO HOMOGENEOUS FORM) Download
Ch-4D (EXACT DIFFERENTIAL EQUATIONS) Download
Ch-4E (LINEAR DIFFERENTIAL EQUATION OF FIRST ORDER) Download
Ch-4F (EXPERIENCE BASED INTEGRATING FACTORS ) Download
Ch-5 (DIFFERENTIAL EQUATIONS OF ORDER ONE AND OF HIGHER DEGREE) Download
Ch-6 (SINGULAR SOLUTIONS) Download
Ch-7 (TRAJECTORIES) Download
Ch-8A (HOMOGENEOUS LINEAR DIFFERENTIAL EQUATIONS OF
HIGHER ORDER WITH CONSTANT CO-EFFICIENTS)
Download
Ch-8B (NON-HOMOGENEOUS LINEAR DIFFERENTIAL EQUATIONS OF HIGHER ORDER WITH CONSTANT COEFFICIENTS) Download
Ch-8C (LINEAR EQUATIONS OF HIGHER ORDER WITH VARIABLE COEFFICIENTS) Download
Ch-9 (REDUCTION OF ORDER) Download
Ch-10 (THE METHOD OF VARIATION OF PARAMETERS) Download
Ch-11 (METHOD OF UNDETERMINED COEFFICIENT) Download
Ch-12 (MODELING WITH FIRST ORDER AND SECOND ORDER DIFFERENTIAL EQUATIONS) Download
Ch-13 (SERIES SOLUTION OF LINEAR DIFFERENTIAL EQUATIONS)-1 Download

Fortran Programming

Ch-1A (COMPUTER AND ITS ORGANISATION) Download
Ch-1B (PROGRAM DESIGN AND COUMPUTER LANGUAGES) Download
Ch-2 (GETTING STARTED WITH PROGRAMMING) Download
Ch-3 (WRITTING YOUR FIRST FORTRAN PROGRAM) Download
Ch-4A (SUMMATION AND PRODUCT OF A SERIES) Download
Ch-4B (NUMBERS & THEORY OF NUMBERS) Download
Ch-4C (Function and Equation) Download
Ch-4D (MEASUREMENT) Download
Ch-4E (EXAMINATION RESULTS AND STATISTICS) Download
Ch-4F (MATRIX) Download
Ch-4G (SUBPROGRAMS) Download
Ch-4H (MISCELLANEOUS) Download
Ch-5 (ALGORITHMS, FLOWCHARTS & PSUEDUCODES) Download
Ch-6A (ADVANCED PROGRAMMING TECHNIQUE) Download
Ch-6B (ADVANCED PROGRAMMING PROBLEMS) Download
Ch-7 (PROGRAM DEBUGGING) Download
Ch-8 (FINDING OUTPUTS OF A PROGRAM) Download

---> Honours 3rd year <---

Abstract Algebra

Ch-1 () Download

Real Analysis

Ch-1 (Set of Real Numbers as Complete Ordered Field) Download
Ch-2 (Topology of Real Line) Download
Ch-3 (Real Sequences) Download
Ch-4 (Infinite Series) Download
Ch-5 (Real Continuous Functions) Download
Ch-6 (Differentiability of Real Functions) Download
Ch-7 (Integration of Real Functions) Download
Ch-8 (Sequene & Series of Real Functions) Download
Ch-9 (Euclidean n-space) Download

Numerical Analysis

Ch-1A (Solution of Equation in one variable) Download
Ch-1B (Numerical solution of non-linear systems) Download
Ch-2 (Finite Differences) Download
Ch-3A (Interpolation with equal intervals) Download
Ch-3B (Interpolation with unequal intervals) Download
Ch-3C (Central Difference Interpolation Formulas) Download
Ch-4A (Numerical Differentiation) Download
Ch-4B (Numerical Integration) Download
Ch-4C (Numerical Integration) Download
Ch-5 (Numerical Solution of Ordinary Differential Equations) Download
Ch-6A (Solution of Linear System) Download
Ch-6B (Matrix Inversion) Download
Ch-6C (Iterative Technique of Matrix Algebra) Download

Complex Analysis

Ch-1 (Complex Number) Download
Ch-2 (Analytic Function) Download
Ch-3 (COMPLEX INTEGRATION) Download
Ch-4 (THE RESIDUE THEOREM) Download
Ch-5 (CONTOUR INTEGRATION) Download
Ch-6 (CONFORMAL MAPPING & BILINEAR TRANSFORMATION) Download

Differential Geometry

Ch-1 (CURVES IN SPACE) Download
Ch-2 (SURFACE) Download
Ch-3 (LOCAL NON-INTRINSIC PROPERTIES OF A SURFACE) Download

Mechanics

Ch-1A (MOTION OF A PARTICLE IN ONE DIMENSION) Download
Ch-1B (MOTION OF A PARTICLE IN ONE DIMENSION) Download
Ch-2 (Motion of a particle in a plane or two dimension) Download
Ch-3 (MOTION OF A PARTICLE IN THREE DIMENSIONS) Download
Ch-4 (Motion of a system of particles) Download
Ch-5 (MOMENT OF INERTIA AND PRODUCT OF INERTIA) Download
Ch-6 (PRINCIPLE OF D'ALEMBERT) Download
Ch-7 (MOTION ABOUT FIXED AXIS) Download
Ch-8 (MOTION OF RIGID BODIES IN TWO DIMENSION) Download
Ch-9 (LAGRANGES EQUATION IN GENERALIZED CO-ORDINATE) Download
Ch-10 (CENTRE OF GRAVITY) Download
Ch-11 (GRAVITATION) Download

Linear Programming

Ch-1 (CONVEX SETS) Download
Ch-2 (INTRODUCTION TO LINEAR PROGRAMMING) Download
Ch-3 (FORMULATION OF LINEAR PROGRAMMING PROBLEM) Download
Ch-4 (SOLUTION BY GRAPHICAL OR GEOMETRICAL METHOD) Download
Ch-5A (SIMPLEX METHOD) Download
Ch-5B (BIG-M SIMPLEX METHOD) Download
Ch-6A (Duality in Linear Programming) Download
Ch-6B (PROPERTIES OF PRIMAL-DUAL PROBLEMS) Download
Ch-6C (COMPLEMENTARY SLACKNESS THEOREM & ITS USES) Download
Ch-6D (The Dual-Simplex Method) Download
Ch-7 (SENSITIVITY ANALYSIS) Download
Ch-8 (ASSIGNMENT PROBLEM) Download
Ch-9 (TRANSPORTATION PROBLEM) Download

---> Honours 4th year <---

Theory of Numbers

Ch-1 (Divisibility) Download
Ch-2 (Arithematic Functions) Download
Ch-3 (Congruences) Download
Ch-4 (Continued Fraction) Download
Ch-5 (Two Square and Four Square Theorems) Download
Ch-6 (Quadratic Fields) Download

Topology

Ch-1 (METRIC SPACES) Download
Ch-2A (TOPOLOGICAL SPACES) Download
Ch-2B (BASE, SUB-BASE & LOCAL BASE) Download
Ch-2C (COUNTABILITY) Download
Ch-2D (FUNCTION ALGEBRA AND CONTINUITY) Download
Ch-3A (COMPACTNESS) Download
Ch-3B (PRODUCT SPACE) Download
Ch-3C (COMPACTNESS IN METRIC SPACES) Download

Functional Analysis

Ch-1 (BANACH SPACES) Download
Ch-2 (HILBERT SPACES) Download
Ch-3 (FIXED POINT THEORY) Download

Methods of Applied Mathematics

Ch-1 (Fourier Series) Download
Ch-2A (Laplace Transform) Download
Ch-2B (Use of contour integration) Download
Ch-3A (Fourier Integral) Download
Ch-3B (Fourier Transform) Download
Ch-3C (Application of Fourier Transform) Download
Ch-4A (Beta & Gamma function) Download
Ch-4B (Beta & Gamma in complex domain) Download
Ch-4C (Error function) Download
Ch-5 (Legendre Polynomial) Download
Ch-6 (Bessels Function) Download
Ch-7 (Laguerre polynomials NAS) Download
Ch-8 (Hermite Polynomials NAS) Download
Ch-9A (Eigen value and eigen functions) Download
Ch-9B (Green's function) Download

Tensor Analysis

Ch-1A (COORDINATES) Download
Ch-1B (VECTORS AND TENSORS) Download
Ch-2A (RIEMANNIAN METRIC AND METRIC TENSORS) Download
Ch-2B (CHRISTOFFEL’S SYMBOLS) Download
Ch-3A (COVARIANT DERIVATIVE OF TENSORS) Download
Ch-3B (COVARIANT CURVATURE TENSOR) Download
Ch-4 (APPLICATIONS OF TENSOR) Download

Partial Differential Equations

Ch-1 (Formulation of P.D.E.) Download
Ch-2A (Linear Partial Differential Equations of First Order) Download
Ch-2B (Integral Surface) Download
Ch-3A (Charpit's Method) Download
Ch-3B (Spectial methods of solution of first order non-linear partial differential equations) Download
Ch-4 (Linear Homoogeneous) Download
Ch-5 (NON-HOMOGENEOUS LINEAR PARTIAL DIFFERENTIAL EQUATIONS) Download
Ch-6 (SECOND ORDER PARTIAL DIFFERENTIAL EQUATIONS) Download
Ch-7 (PROBLEMS INVOLVING SYMMETRY) Download
Ch-8A (BOUNDARY VALUE PROBLEMS RELATED TO LINEAR EQUATIONS) Download
Ch-8B (Boundary value problems involving partial differential equation by the method of Laplace Transforms) Download
Ch-8C (Application of Fourier Transform for solving Boundary Value Problems) Download

Hydrodynamics

Ch-1 (KINEMATICS OF FLUIDS IN MOTION) Download
Ch-2 (EQUATION OF MOTION OF FLUID) Download
Ch-3 (MOTION IN TWO DIMENSIONS, SOURCE AND SINK) Download
Ch-4 (GENERAL THEORY OF IRROTATIONAL MOTION) Download
Ch-5 (STREAMING MOTIONS) Download
Ch-6 (VORTEX MOTION) Download
Ch-7 (WAVE) Download

Discrete Mathematics

Ch-1 () Download

Astronomy

Ch-1 () Download

Mathematical Modeling

Ch-1 (MATHEMATICAL MODELING) Download
Ch-2 (CONTINUOUS POPULATION MODELS FOR SINGLE SPECIES) Download
Ch-3 (SINGLE SPECIES DISCRETE POPULATION MODELS) Download
Ch-4 (CONTINUOUS MODELS FOR INTERACTING POPULATION) Download
Ch-6 (EPIDEMIC MODELS).pptx Download

---> Masters <---

Advanced Number Theory

Ch-1 () Download

Lattice Theory

Ch-1 () Download

Fluid Dynamics

Ch-1 () Download

Quantum Mechanics

Ch-1 () Download

Theory of Relativity

Ch-1 () Download

Differential and Integral Equations

Ch-1 () Download

Operations Research

Ch-1 ()

Geometry of Differential Manifolds

Ch-1 () Download
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