This note covers the
following topics: Numerical Method, Numerical Integration, Numerical Solution Of
Differential Equation, Optimization, Graphical Method, Visual Representation Of
Different Cases Of Solution Of LPP, Big-m Method, Probability, Vector
Algebra In 2-space And 3-space, Vector Differential Calculus, Basic Definitions,
Gradient Of A Scalar Field, Physical Interpretation Of Divergence and Curl Of A
Vector Field, Laplace Transforms, Differentiation and Integration Of Transforms,
Odes With Variable Coefficients, Discrete Mathematical Structures, Partial
Differential Equation, Limit Of Function.
This note explains the following topics: basic graph theory to advanced
concepts like Ramsey theorys and progresses through counting techniques,
generating functions and structures like trees and set it also discusses graph
theory topics such as chromatic numbers and Turans theorem and addresses
intersection problems and important theorems like Erdos Ko Rado and Halls
marriage theorem.
This note explains the following topics of mathematics: Real Numbers, Exponents,
Algebraic Expression, Rational Expressions, Equations, Inequalities, Coordinate Geometry, Lines, Functions and Trigonometry.
This note contains the following topics: Trigonometric Functions I, Trigonometric Functions
II, Matrix, Determinants, Equations of Straight Lines, Functions, Limits,
Continuity, Logarithmic Differentiation, Parametric Differentiation, Successive
Differentiation, Maxima and Minima, Business Applications of Maxima and Minima.
Author(s): Dr. Sachin Kaushal, Lovely Professional University
Phagwara
This PDF book covers the
following topics related to Contemporary Mathematics :Sets, Logic, Real Number
Systems and Number Theory, Number Representation and Calculation, Algebra, Money
Management, Probability, Statistics, Metric Measurement, Geometry, Voting and
Apportionment, Graph Theory, Math and Art.
This page covers
the following topics related to Elementary Mathematics : Basic Algebra,
Introduction to Matrices, Trigonometry, Indices and Logarithms, Polynomial
Equations, Inequalities and Absolute Values, Progressions, Elementary Counting
Techniques, Complex Numbers, Functions and Lines, Introduction to
Differentiation, Further Techniques of Differentiation, Applications of
Differentiation, Introduction to Integration.
This note covers the
following topics: Addition and Subtraction of Whole Numbers, Multiplication and
Division of Whole Numbers, Exponents, Roots, and Factorization of Whole Numbers,
Introduction to Fractions and Multiplication and Division of Fractions, Addition
and Subtraction of Fractions, Comparing Fractions, and Complex Fractions,
Decimals, Ratios and Rates, Techniques of Estimation, Measurement and Geometry,
Signed Numbers, Algebraic Expressions and Equations.
The objective
of this note is to survey topics in mathematics, including multidimensional
calculus, ordinary differential equations, perturbation methods, vectors and
tensors, linear analysis, linear algebra, and non-linear dynamic systems.
Goal of this note is
to provide free educational resources to anyone around the world that wishes to
deeply master Mathematics. Topics covered includes: Intermediate Algebra,
Precalculus, Math for Electrical Engineers, Mathematics Proof, Linear Algebra,
Discrete Structures, Ordinary Differential Equations, Mathematical Modeling.