This note covers the
following topics: Volumes, Work, Inverse functions, Natural Logarithm Function,
Natural Exponential and Logarithm, Exponential Growth and Decay, Inverse
Trigonometric Functions, Hyperbolic Functions, Integration by Parts, Trig
Integrals, Partial Fractions, Improper integrals, Method for Integration, Arc
Length, Sequences, Series, Integral Test, Comparison Tests, Method for
Convergence Testing, Power Series, Taylor Series, Parametric Curves, Parametric
Calculus, Polar Coordinates, Polar Areas and Lengths.
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 PDF covers
the following topics related to Advanced Mathematics : Sets, Logic, Counting
Finite Sets, Numbers, Inequalities and Rings, Number Theory, Fundamentals of
Proof , Induction, Relations and Functions, Applications.
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.
This note covers the following topics: The Abstract Nature Of
Mathematics, Variables, Methods Of Application, Dynamics, The Symbolism Of
Mathematics, Generalizations Of Number,imaginary Numbers, Coordinate Geometry,
Conic Sections, Functions,periodicity In Nature,trigonometry, series ,the
Differential Calculus, Geometry, quantity.
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.