Highlights of Calculus

Incarcat la data: 19 Aprilie 2011

Autor: Admin

By Gilbert Strang - Massachusetts Institute of Technology
Licence: Creative Commons Attribution-NonCommercial-ShareAlike 3.0

Course Description:
Highlights of Calculus is a series of short videos that introduces the basic ideas of calculus how it works and why it is important. The intended audience is high school students, college students, or anyone who might need help understanding the subject.
Lecture 1 - Professor Strang Introduces the Series

Professor Gilbert Strang talks informally in his office at MIT about why he created this video series, and how MIT OpenCourseWare users can benefit from these materials.

Lecture 2 - Big Picture of Calculus

Calculus is about change. One function tells how quickly another function is changing. Professor Strang shows how calculus applies to ordinary life situations, such as driving a car, climbing a mountain, and growing to full adult height.

Lecture 3 - Big Picture: Derivatives

Calculus finds the relationship between the distance traveled and the speed — easy for constant speed, not so easy for changing speed. Professor Strang is finding the rate of change, the slope of a curve, and the derivative of a function.

Lecture 4 - Max and Min and Second Derivatives

At the top and bottom of a curve (Max and Min), the slope is zero. The second derivative shows whether the curve is bending down or up. Here is a real-world example of a minimum problem: What route from home to work takes the shortest time?

Lecture 5 - The Exponential Function

Professor Strang explains how the magic number e connects to ordinary things like the interest on a bank account. The graph of y = e^x has the special property that its slope equals its height (it goes up exponentially fast!). This is the great function of calculus.

Lecture 6 - Big Picture: Integrals

The second half of calculus looks for the distance traveled even when the speed is changing. Finding this integral is the opposite of finding the derivative. Professor Strang explains how the integral adds up little pieces to recover the total distance.


Source: http://academicearth.org/courses/highlights-of-calculus

Textul de mai sus reprezinta un extras din "Highlights of Calculus". Pentru versiunea completa a documentului apasa butonul Download si descarca fisierul pe calculatorul tau. Prin descarcarea prezentei lucrari stiintifice, orice utilizator al site-ului www.studentie.ro declara si garanteaza ca este de acord cu utilizarile permise ale acesteia, in conformitate cu prevederile legale ablicabile in domeniul proprietatii intelectuale si in domeniul educatiei din legislatia in vigoare.

In cazul in care intampini probleme la descarcarea fisierului sau documentul nu este nici pe departe ceea ce se doreste a fi te rugam sa ne anunti. Raporteaza o eroare


Referatele si lucrarile oferite de Studentie.ro au scop educativ si orientativ pentru cercetare academica.

Iti recomandam ca referatele pe care le downloadezi de pe site sa le utilizezi doar ca sursa de inspiratie sau ca resurse educationale pentru conceperea unui referat nou, propriu si original.

Jeans Tanner Army Jeans Tanner Army pantaloni cu model army metalic - se incheie in fata cu nasturi metalici - materialul este...
Rochie Aglaya Neagra Rochie Aglaya Neagra rochie midi eleganta de culoarea neagra - are un slit scurt la spate si se incheie cu un fermoar...