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.
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.