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Introduction and Algebraic law

الكلية كلية الهندسة     القسم  الهندسة الميكانيكية     المرحلة 1
أستاذ المادة احمد كاظم حسين الحميري       04/12/2016 19:00:26
Lec 1
The subject is divided into two separate courses
The first course includes

1- Functions , Functions graph , Functions domain and range , Functions types , Even and odd Functions
2- Limits , applications on Limits , Limits types , Limits test , Limits solution , Limits examples
3- Continuity
4- Differentiation
5- Differentiation applications
6- Determinant
7- Series , Series types , Series test , Series solution , Series examples
8- Different solved problems
9- Exercises
10- Hyperbolic functions
11- Hyperbolic functions applications
While the second one includes

1- Integration
2- Integration applications
3- Area
4- Volume
5- Length of curves
6- Vectors
7- Different solved problems
8- Exercises

Calculus (from Latin calculus, literally "small pebble used for counting") is the mathematical study of change, in the same way that geometry is the study of shape and algebra is the study of operations and their application to solving equations. It has two major branches, differential calculus (concerning rates of change and slopes of curves), and integral calculus (concerning accumulation of quantities and the areas under and between curves); these two branches are related to each other by the fundamental theorem of calculus. Both branches make use of the fundamental notions of convergence of infinite sequences and infinite series to a well-defined limit. Generally, modern calculus is considered to have been developed in the 17th century by Isaac Newton and Gottfried Leibniz. Today, calculus has widespread uses in science, engineering and economics.

General Notes
1- Graphing a function. You get the graph of a function f by drawing all points whose coordinates
are (x, y) where x must be in the domain of f and y = f(x).

2- Inverse functions. If you have a function f, then you can try to define a new function f

so-called inverse function of f


المادة المعروضة اعلاه هي مدخل الى المحاضرة المرفوعة بواسطة استاذ(ة) المادة . وقد تبدو لك غير متكاملة . حيث يضع استاذ المادة في بعض الاحيان فقط الجزء الاول من المحاضرة من اجل الاطلاع على ما ستقوم بتحميله لاحقا . في نظام التعليم الالكتروني نوفر هذه الخدمة لكي نبقيك على اطلاع حول محتوى الملف الذي ستقوم بتحميله .