Calculus and Analytic Geometry Course Outline 1st Semester

Course Code:

Course Name: Calculus & Analytic Geometry

Credit Hours: 3

Prerequisites: None

Course Objectives:

                 To build the basic calculus and analytical geometry background.

Course Outline:

                 Complex Numbers, DeMoivre’s Theorem and its Applications, Simple Cartesian Curves, Functions and Graphs, Symmetrical Properties, Curve Tracing, Limit and Continuity, Differentiation of Functions. Derivative as Slope of Tangent to a Curve and as Rate of Change, Application to Tangent and Normal, Linearization, Maxima/Minima and Point of Inflexion, Taylor and Maclaurin Expansions and their Convergence. Integral as Antiderivative,  Indefinite Integration of Simple Functions.

 Methods of Integration:

                 Integration by Substitution, By Parts and by Partial Fractions, Define Integral as Limit of a Sum, Application to Area, Arc Length, Volume and Surface of Revolution.

Text Book’s:

v                             George B. Thomas, Ross L. Finney, Calculus and Analytic Geometry, Addison Wesley; 9 Edition, 1995.

v  Swokowski, Olinick and Pence, Calculus and Analytical Geometry.

v  H. Anton Calculus, John Wiley and Sons (WIE), ISBN: 0471572608

Reference Book’s: 
                          Calculus, William E. Boyce Richard C. Diprima, John Wiley & Sons, ISBN: 0471093335

ICT Basics

Define ICT:

         ICT is the technology required for information processing, in particular, the use of electronic computers, communication devices and software applications to convert, store, protect, process, transmit and retrieve information from anywhere, anytime.

 INFORMATION:

 
                Information refers to the knowledge obtained from reading, investigation, study or research. The tools to transmit information are the telephone, television and radio. Information is knowledge and helps us to fulfill our daily tasks.

COMMUNICATION:

                Communication is an act of transmitting messages. It is a process whereby information is exchanged between individuals using symbols, signs or verbal interactions. Communication is important in order to gain knowledge.

TECHNOLOGY:

                Technology is the use of scientific knowledge, experience and resources to create processes products that fulfill human needs. Technology is necessary in communication

žEvolution of computers:

(COMPUTER GENERATIONS)

 

First Generation (1940-1956)

SECOND GENERATION (1956-1963)

THIRD GENERATION (1964-1971)

FOURTH GENERATION (1971- PRESENT)

FIFTH GENERATION (PRESENT & BEYOND)  

NEW ERA COMPUTER

 

The usage of ICT in everyday life:

EDUCATION:

                    In education, teachers, students, researchers and school administrators benefits from the usage of ICT. 

BANKING:

                  In the banking, customers, businessman & bank administrator benefits from the usage of ICT.

INDUSTRY:

                Computers are used to facilitate production planning and control systems, to support chain management and to help in product design in the industrial sector. In the industrial sector, workers, researchers and administrator benefits from the usage of ICT.

E-COMMERCE:

               E-commerce helps in boosting the economy. It makes buying and selling activities easier, more efficient and faster. For this application, computers, Internet and shared software are needed. In the e-commerce sector, customers, suppliers and employees benefits from the usage of ICT.

Differences between computerized and non-computerised    systems:

Computerised	Non-Computerised
§  more interesting & interactive experiences	§  depends on teachers & textbook
§  all transactions are done by computers	§  banking was done manually
§  Computers and telecommunications industry became very popular and profitable since production can be increased through an all day operation.	§  Production was slow because everything was done depended on human labour.
§  E-commerce plays an important role in the economic scene. It includes distribution, buying, selling and servicing products that are done electronically	§  Trading was made using the barter system and it was then later developed into currency.