Python

problem solving:

The process of formulating a problem, finding a solution, and expressing the solution.

high-level language:

A programming language like Python that is designed to be easy for humans to read and write.

low-level language:

A programming language that is designed to be easy for a computer to execute; also called “machine language” or “assembly language.”

portability:

A property of a program that can run on more than one kind of computer.

interpret:

To execute a program in a high-level language by translating it one line at a time.

compile:

To translate a program written in a high-level language into a low-level language all at once, in preparation for later execution.

source code:

A program in a high-level language before being compiled.

object code:

The output of the compiler after it translates the program.

executable:

Another name for object code that is ready to be executed.

prompt:

Characters displayed by the interpreter to indicate that it is ready to take input from the user.

script:

A program stored in a file (usually one that will be interpreted).

interactive mode:

A way of using the Python interpreter by typing commands and expressions at the prompt.

script mode:

A way of using the Python interpreter to read and execute statements in a script.

program:

A set of instructions that specifies a computation.

algorithm:

A general process for solving a category of problems.

bug:

An error in a program.

debugging:

The process of finding and removing any of the three kinds of programming errors.

syntax:

The structure of a program.

syntax error:

An error in a program that makes it impossible to parse (and therefore impossible to interpret).

exception:

An error that is detected while the program is running.

semantics:

The meaning of a program.

semantic error:

An error in a program that makes it do something other than what the programmer intended.

natural language:

Any one of the languages that people speak that evolved naturally.

formal language:

Any one of the languages that people have designed for specific purposes, such as representing mathematical ideas or computer programs; all programming languages are formal languages.

token:

One of the basic elements of the syntactic structure of a program, analogous to a word in a natural language.

parse:

To examine a program and analyze the syntactic structure.

print statement:

An instruction that causes the Python interpreter to display a value on the screen.

“When you have eliminated the impossible, whatever remains, however improbable, must be the truth.”

(A. Conan Doyle, The Sign of Four)

Facts are the enemy of truth.

Miguel de Cervantes,

Max Born

http://wolfr.am/1qLkVGa

Vector Analysis

Vector Analysis - Murray R. Spiegel by ajmisra83

Quantum Mechanics

griffiths by abkinch

W E B Equacoes Diferenciais 9a-Ed by António Carneiro

Swokowski Cwag Ae by Rodolfo Quinteroo

Equações Diferenciais Elementares e Problemas de Valores de Contorno - William e. Boyce e Richard c. Diprim... by Allan Ferreira

Young, Eutiquio C. - Vector and Tensor Analysis by cvbnghjk

Tipler Mosca Physics Scientists Engineers 5th Solman by papamalote

Tipler Mosca Physics Scientists Engineers 6th Txtbk by BROSCHILLOUT

OSCILLATIONS AND WAVES

Waves by pintu_55

Vibrations and Waves - French by anim3otaku

A Guide to Physics Problems Part 2 Thermodynamics Statistical Physics and Quantum Mechanics by lxhomework

Modern Physics by Tipler Instructors Solutions Manual by Evellyn Santos

162835810 Modern Physics 6th Edition Tipler Llewellyn by Amit Roy

Vector-Analysis-Murray-R-Spiegel

Vector Analysis [Murray R Spiegel] by Hassan Waseem

Calculo-Superior-Murray-Spiegel-Schaum

Calculo Superior - Murray Spiegel - Schaum by yimi01

18-02-Multivariable-Calculus-fall-2007

Multivariable Calculus

• COURSE HOME
• SYLLABUS
• CALENDAR
• READINGS
• LECTURE NOTES
• ASSIGNMENTS
• EXAMS
• TOOLS
• VIDEO LECTURES
• DOWNLOAD COURSE MATERIALS

Lagrange multipliers with two variables Mathlet from the d'Arbeloff Interactive Math Project. (Image courtesy of Jean-Michel Claus.)

Instructor(s)

Prof. Denis Auroux

MIT Course Number

18.02

As Taught In

Fall 2007

Level

Undergraduate

Translated Versions

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Course Features

• Video lectures
• Subtitles/transcript
• Lecture notes
• Assignments (no solutions)
• Exams and solutions

Course Description

This course covers vector and multi-variable calculus. It is the second semester in the freshman calculus sequence. Topics include vectors and matrices, partial derivatives, double and triple integrals, and vector calculus in 2 and 3-space.

MIT OpenCourseWare offers another version of 18.02, from the Spring 2006 term. Both versions cover the same material, although they are taught by different faculty and rely on different textbooks. Multivariable Calculus (18.02) is taught during the Fall and Spring terms at MIT, and is a required subject for all MIT undergraduates.

18-02sc-multivariable-calculus-fall-2010

This unit covers the basic concepts and language we will use throughout the course. Just like every other topic we cover, we can view vectors and matrices algebraically and geometrically. It is important that you learn both viewpoints and the relationship between them.

Part A: Vectors, Determinants, and Planes

» Session 1: Vectors
» Session 2: Dot Products
» Session 3: Uses of the Dot Product: Lengths and Angles
» Session 4: Vector Components
» Session 5: Area and Determinants in 2D
» Session 6: Volumes and Determinants in Space
» Session 7: Cross Products
» Session 8: Equations of Planes
» Problem Set 1

Part B: Matrices and Systems of Equations

» Session 9: Matrix Multiplication
» Session 10: Meaning of Matrix Multiplication
» Session 11: Matrix Inverses
» Session 12: Equations of Planes II
» Session 13: Linear Systems and Planes
» Session 14: Solutions to Square Systems
» Problem Set 2

Part C: Parametric Equations for Curves

» Session 15: Equations of Lines
» Session 16: Intersection of a Line and a Plane
» Session 17: General Parametric Equations; the Cycloid
» Session 18: Point (Cusp) on Cycloid
» Session 19: Velocity and Acceleration
» Session 20: Velocity and Arc Length
» Session 21: Kepler's Second Law
» Problem Set 3

Exam 1

» Practice Exam
» Session 22: Review of Topics
» Session 23: Review of Problems
» Exam

Kreyszig Solutions by api-3808533

Kreyszig 2006 by Yolot Moon

The Geometry of Euclidean Space

Marsden J.E.,Tromba a.J.vector Calculus

1 The Geometry of Euclidean Space .......................31
2 Differentiation,,,,,,,,,,,,,,,,,,,,,,,,.,,,,,,,,,,,,................124
3 Higher-Order Derivatives; Maxima and Minima...211
4 Vector-Valued Functions .................................  291
5 Doublr and Triple Integrals ............................... 347
6 The Change of Variables .................................. 398
7 Integrals Over Paths and surfaces ...................... 451
8 The Integrals Theorems of Vector Analysis ....... 548

Path Integral

divergência do rotacional, rotacional do gradiente

Vector Calculus Identities

The divergence of the curl is equal to zero:

The curl of the gradient is equal to zero: 

More vector identities

Vector Calculus Study

Definição

Integrais de linha de campos escalares relativamente ao comprimento de arco.
Integrais de linha no caso geral. Aplicações à Física. Integrais de linha de campos vectoriais.
Campos conservativos campos de gradientes e rotacional. Domínios simplesmente conexos.
Teste para independência de caminho. 

Superfícies parametrizadas no espaço euclidiano tridimensional.
Integrais de superfície de funções escalares.
Áreas de superfícies.
Teorema de Green no plano e aplicações.
Integral de um campo de vectores sobre uma superfície. Teorema da Divergência (Gauss) e teorema de Stokes.

.

Logaritmo Natural

• Instructions
• 1. Introduction
• 2. Properties of Sunlight
• 3. PN Junction
• 4. Solar Cell Operation
• 5. Design of Silicon Cells
• 6. Manufacturing Si Cells
• 7. Modules and Arrays
• 8. Characterization
• 9. Material Properties
• 11. Appendices

Lecture 1: Introduction

http://ocw.mit.edu/courses/mechanical-engineering/2-627-fundamentals-of-photovoltaics-fall-2011/lecture-videos-and-notes/introduction/


Introduction

Introduction (PDF - 3.3MB)

Ceiling Function

Floor function

Coeficiente binomial

http://mathworld.wolfram.com/

triple product

definition of cross product

Inequality

Orthogonal Projection

The Inner Product, Lenght and Distance

Vector Calculus 5e - Sec 1-2 by António Carneiro

vectors

Vector Calculus 5e - Sec 1-1 by António Carneiro

* 19 726 *

.

Preparing Presentation Slides

Site

Moderna Introdução às Equações Diferenciais - Richard Bronson

Moderna Introdução às Equações Diferenciais - Richard Bronson by Giovanni Barreto

pdf

18 03sc Fall 2011 Differential Equations

18 03sc Fall 2011 Differential Equations by António Carneiro

Marsden Tromba Vector Calculus

Marsden J.E.,Tromba a.J.vector Calculus by 520antares

Internet Supplement for Vector Calculus

*

1 The Geometry of Euclidean Space ........................ 31
2 Differentiation,,,,,,,,,,,,,,,,,,,,,,,,.,,,,,............... 124
3 Higher-Order Derivatives; Maxima and Minima........ 211
4 Vector-Valued Functions .................................  291
5 Double and Triple Integrals ............................... 347
6 The Change of Variables .................................. 398
7 Integrals Over Paths and surfaces ....................... 451
8 The Integral Theorems of Vector Analysis ............. 548