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 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 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 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.
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.
This note explains the
following topics: Vector Calculus, Iterated integrals, Fourier series and
transforms, Ordinary Differential Equations, Parceval's Theorem, Partial
Differential Equations.