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MTH101 Lecture-05
MTH101 Lecture-05
Download Link : http://www.mediafire.com/?u072m0g7u43na1b
Course Synopsis
Single variable calculus, which is what we begin with, can deal with motion of an object along a fixed path. The more general problem, when motion can take place on a surface, or in space, can be handled by multivariable calculus. So single variable calculus is the key to the general problem as well.
The course in Calculus and Analytical Geometry MTH101 covers the following topics:Preliminary material:
· Real numbers, set theory, intervals and inequalities
· Lines, functions and graphs are reviewed briefly
Limits and Continuity:
· The limit and continuity are introduced through rates of change and intuitive way then it is presented formally.
Differentiation:· Techniques of differentiation
· Applications of the differentiation ( Exterema / Minima, Mean Value Theorem, the fundamental theorems of calculus , the Newton ’s method, the Roll’s theorem )
Integration:
· Techniques of integration
· Application of definite integral
Sequence and Series:· Sequences and types of sequences
· Infinite Series and types of series
· Tests for convergence
The study of calculus is normally aimed at giving you the "mathematical sophistication" to relate to such more advanced work. Calculus and Analytical Geometry MTH101 is pre-requisite course for Calculus II (MTH301)
Thursday, February 10, 2011
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Admissions Open for Spring 2011
1. Please fill in the admission application form below.
2. Submit the form when you finish. You will receive a Form Number. Please note it carefully.
3. Download and print following documents;
a) Admission Application Form
b) Challan Form
c) ID Card Development Slip
4. Deposit the challan to the nearest Bank Branch (as specified in challan) & attach copy of deposited Bank Challan along with
required documents. Finally, mail the hard copy of your complete admission form at the following address;
Admission Office,
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Defence Road Off Raiwind Road,
Lahore, Pakistan
5. Please attach requisite documents as prescribed by Higher Education Commission in case of Foreign/Dual National residing in pakistan or residing abroad. Click Here for details .
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How VU Works
The Virtual University of Pakistan delivers education through a judicious combination of broadcast television and the Internet. VU courses are hand-crafted in meticulous detail by acknowledged experts in the field. Lectures are then recorded in a professional studio environment and after insertion of slides, movie clips and other material, become ready for broadcast. Course lectures are broadcast over free-to-air television and are also made available in the form of multimedia CDs. They can also be made available as streaming media from the Virtual University ’s servers. The multiple formats allows for a high degree of flexibility for students who may view the lectures at a time of their choosing within a 24-hour period. Additionally, students can use the lectures to review an entire course before their examinations – a facility simply not available in the conventional face-to-face environment.
In addition to the prescribed texts, comprehensive reading material / lecture notes in the form of web-enabled content are provided through a comprehensive Learning Management System (LMS) hosted on the VU Web Servers and accessible over the Internet. The full power of hyperlinks is utilized for making the on-line experience a truly powerful one. The LMS also provides an e-mail facility to each and every student as well as discussion boards for interaction within the VU community.
An important feature of the LMS is a Question/Answer board where VU faculty provides answers to questions posed by students on the subject matter covered in the lectures. The Question/Answer board (also known as the Moderated Discussion Board) is extremely fine grained, providing separate sessions for each lecture of each course. In addition, read-only access is made available to previous question/answer sessions and this constitutes an extremely useful study resource for students. VU faculty monitors this board on a continuous basis and answers to student questions are provided within a short space of time.
Assignments are handed out through the LMS and also submitted by the students through the same mechanism. Pop-quizzes and practice tests are also conducted through the LMS.
Midterm and Final Examinations for every semester are conducted in a formal proctored environment at exam centers designated for the purpose throughout the country. Invigilators appointed by the University conduct the exams. The formal examination atmosphere assists in critical quality assurance of the student assessment system.
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