Summary

• Introduction
• Course Outline
• Material
• Evaluation
• Time Schedule
• Instructor
• Calendar

Introduction

Calculus 1 is a very classical first year math course. It starts from what you learnt in your Highschool and introduce new concepts of mathematics as well as calculation technics. This knowledge is required for any science studies or in all ingenering works. In this course, Mathematics are learnt through examples and a wide range of exercices.

This course is designated for students of the new IT Department. It will stay into application of mathematical technics and will not emphasize theory. As a rule we will attend computer lab in order to practice what you will learn in the course. This will include getting familiar with a Formal Calculus Software like Mapple. Using computers we will draw graphs, make formal calculation and try to get approximate solutions of our problems.

Here is the official description of the course:

Course Outline

1. Getting Started: Checking what you know from Highschool, filling the gaps.

   Real numbers:

   order, equations, absolute value, equations of degree two, square roots.

   Real functions:

   image, inverse image, graphs, composition.

   Cartesian Geometry:

   equations of lines, slope, midpoint, distance.

   Trigonometry:

   sinus, cosinus, tangent

   Exponential and Logarythm:

   basic calculation rules

2. Limits and Continuity: Going through Chapter 1 of the Textbook we will learn the basic definition of limits and some technics to find them
3. Derivative: That's Chapter 2 of the Textbook and one of the most useful calculus tool. This Chapter will include a study of approximation techniques to effectively calculate derivatives and the use of derivatives for solving equations through the celebrated Newton's Method.
4. Integrals: Yet another celebrated tool in Calculus. We will cover Chapter 4 of the Textbook.

Material

The Textbook of the Course is Calculus of E. W. SWOKOWSKI, M. OLINICK and, D. PENCE, 6th Edition, PWS Publishing.

We will use the Software Mapple for formal calculation, graph drawing and approximation. In addition we will use the classic MsOffice Softwares like Excel.

The Instructor will provide you with some written material. It will be available on line here. This will include PDF documents readable with Adobe's Acrobat Reader.

Evaluation

As I am new in this University I may not be perfectly aware of local grading traditions. I will try to respect them as soon as I know them.

The Final Mark will include several evaluations including a midterm and a final exam. There will be some intermediate evaluations.

Time Schedule

Course are due to take place according to the following table:

This may change, please check regularly.

We will be alternatively in the Computer Lab and in a regular room. Please check both.

Instructor

I am Doctor Thierry COULBOIS. I am French. I got my PhD in Mathematical Logic in University Paris 7 France. I have been teaching in University Paris 7 for the last 4 years, both Computer Science and Mathematics. You can have a look at my Webpage (in French) at http://www.logique.jussieu.fr/www.coulbois. It includes a Curriculum in English. You can reach me by e-mail at coulbois@logique.jussieu.fr which I check daily.

I taught during summer 2002 in Bir Zeit University. I visited Palestine several times. I am currently living in Abu Dees. I have to improve my skills in Arabic.

Calendar

Here is a week-by-week description of the course it will be completed continuously. You will find here Textbook equivalents for the course, a list of compulsory exercices, a list of suggested exercices. You will also find extra materials like exam sources and hints for the work in the computer lab.