This book covers the following topics: The
Exponential Function, Exponentials and Logarithms, Exponential Models,
Recursion, Recursive Models, Investigating Recursive Models, The Derivative,
Discovering the Derivative, The Derivative at a Point, The Derivative of a
Function, Computing the Derivative, The Power Rule, Linearity, Products and
Quotients, Exponentials and Logarithms, The Chain Rule, Interpreting and
Using the Derivative, Curve Sketching, Newton’s Method, The Chain Rule
Revisited, Marginals, Linear Optimization, Simple Examples, More
Complicated, Shadow Prices Lagrange Multipliers, The Integral,
Antiderivatives, The Definite Integral, Riemann Sums, Interpreting and Using
the Integral, Anti Rates, Area, Probability, Quantities in Economics, Matrix
Algebra, Matrix Arithmetic, Applications of Matrix Algebra, Linear
Equations, Equations and Solutions, Matrix Inverse, Applications of Linear
Equations, Partial Derivatives, Partial derivatives, Higher Order
Derivatives, The Chain Rule, Non Linear Optimization, The First Derivative
Test, Lagrange Multipliers, Fitting a Model to Data, Spread sheet Formulas,
Function Values, Recursion Calculations and Matrix Calculations.
This book covers the following topics: The
Exponential Function, Exponentials and Logarithms, Exponential Models,
Recursion, Recursive Models, Investigating Recursive Models, The Derivative,
Discovering the Derivative, The Derivative at a Point, The Derivative of a
Function, Computing the Derivative, The Power Rule, Linearity, Products and
Quotients, Exponentials and Logarithms, The Chain Rule, Interpreting and
Using the Derivative, Curve Sketching, Newton’s Method, The Chain Rule
Revisited, Marginals, Linear Optimization, Simple Examples, More
Complicated, Shadow Prices Lagrange Multipliers, The Integral,
Antiderivatives, The Definite Integral, Riemann Sums, Interpreting and Using
the Integral, Anti Rates, Area, Probability, Quantities in Economics, Matrix
Algebra, Matrix Arithmetic, Applications of Matrix Algebra, Linear
Equations, Equations and Solutions, Matrix Inverse, Applications of Linear
Equations, Partial Derivatives, Partial derivatives, Higher Order
Derivatives, The Chain Rule, Non Linear Optimization, The First Derivative
Test, Lagrange Multipliers, Fitting a Model to Data, Spread sheet Formulas,
Function Values, Recursion Calculations and Matrix Calculations.
This Lecture note explains the following topics: Elementary Matrix Theory, Vector Spaces,
Linear Transformations, Vector Spaces with Inner Product, Eigenvalue
Problems and Additional Topics Relating to Eigenvalue Problems.
Author(s): Ray M.Bowen, University College Station
Texas
This PDF Lecture covers the following
topics related to Applied Mathematics : Number Theory, Prime Number Ratio,
Proportion and Logarithms, Interpretatlysis of Data, Commercial Mathematics,
Set Theory Unit 6: Relation and Function, Algebra Complex Number, Sequence
and Series, Permutations and Combinations, Trigonometry.
This PDF Lecture covers the
following topics related to Applied Mathematics : Introduction - What is
Applied Mathematics, Dimensional Analysis and Scaling, Asymptotic analysis,
Perturbation Methods, Asymptotic Expansion of Integrals, Functional Analysis
- A Crash Course, Calculus of Variations, Orthogonal Expansions, Sturm Liouville
Problem.
This PDF book covers the following topics related to Mathematics
for Biomedical Physics : Differential Calculus, Integral Calculus, Infinite
Series, Fourier Series, Complex Variables, Determinants, Matrices, Vector
Analysis, Curvilinear Coordinates and Multiple Integrals, Vector Calculus,
First Order Differential Equations, Diffusion Equation, Probability
Distribution Functions.
Author(s): Jogindra M. Wadehra, Wayne State
University
This
note covers the following topics: Types and sets, Basic logic, Classical tautologies, Natural numbers,
Primitive recursion, Inductive types, Predicates and relations, Subset and
Quotients, Functions.
These are notes
on various topics in applied mathematics.Major topics covered are:
Differential Equations, Qualitative Analysis of ODEs, The Trans-Atlantic
Cable, The Laplace Transform and the Ozone Layer, The Finite Fourier
Transform, Transmission and Remote Sensing, Properties of the Fourier
Transform, Transmission Tomography,The ART and MART, Vectors,A Brief History
of Electromagnetism, Changing Variables in Multiple Integrals, Kepler’s Laws
of Planetary Motion, Green’s Theorem, Complex Analysis, The Quest for
Invisibility, Calculus of Variations, Bessel’s Equations, Hermite’s
Equations and Quantum Mechanics.
This note
describes the following topics: Normed Linear Spaces and Banach Spaces, Hilbert
Spaces, Spectral Theory and Compact Operators, Distributions, The Fourier
Transform, Sobolev Spaces, Boundary Value Problems, Differential Calculus in
Banach Spaces and the Calculus of Variations.
This note covers the following
topics: Fourier Transforms, Applications of Fourier Transforms,
Curvilinear Co-ordinates, Random variable and Mathematical Expectation, Moments
and Moment generating functions, Theoretical Discrete Distributions, Theoretical
Continuous Distributions, Multiple and partial Correlation.
Author(s): Prof .Kuldip Bansal, Guru Jambheshwar
University of Science and Technology, Hisar
This Handbook of Mathematics is designed to contain, in compact form,
accurate statements of those facts and formulas of pure mathematics which are
most likely to be useful to the worker in applied mathematics. Many topics of
an elementary character are presented in a form which permits of immediate
utilization even by readers who have had no previous acquaintance with the
subject; for example, the practical use of logarithms and logarithmic
cross-section paper, and the elementary parts of the modern method of
nomography (alignment charts), can be learned from this book without the
necessity of consulting separate treatises.
This book covers
the following topics in applied mathematics: Dimensional Analysis,
Scaling and Similarity, Calculus of Variations, Sturm-Liouville Eigenvalue
Problems and Stochastic Processes.
Derivations
of Applied Mathematics is a book of applied mathematical proofs. This book
covers the following topics in applied mathematics: Classical algebra and
geometry, Trigonometry, derivative, The complex exponential, Primes, roots and
averages, Taylor series, Integration techniques, Matrices and vectors,
Transforms and special functions.
This text concentrates on mathematical
concepts rather than on details of calculations, which are often done with
software, such as Maple or Mathematica. The book is targeted at engineering
students who have had two years of calculus, introductory linear algebra, and
introductory ordinary differential equations.
This book covers the following topics in applied mathematics: Linear
Algebraic Systems, Vector Spaces and Bases, Inner Products and Norms,
Minimization and Least Squares Approximation, Orthogonality, Equilibrium,
Linearity, Eigenvalues, Linear Dynamical Systems, Iteration of Linear Systems,
Boundary Value Problems in One Dimension, Fourier Series, Fourier Analysis,
Vibration and Diffusion in One-Dimensional Media, The Laplace Equation, Complex
Analysis, Dynamics of Planar Media, Partial Differential Equations in Space,
Nonlinear Systems, Nonlinear Ordinary Differential Equations, The Calculus of
Variations and Nonlinear Partial Differential Equations.
This course note develops mathematical techniques which
are useful in solving `real-world' problems involving differential equations,
and is a development of ideas which arise in the second year differential
equations course. This note embraces the ethos of mathematical modelling, and
aims to show in a practical way how equations `work', and what kinds of
solution behaviours can occur.