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

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Waves by pintu_55

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18-02-Multivariable-Calculus-fall-2007

Multivariable Calculus

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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

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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.