Charchil Building The Graduate School
  Sylabus

differential and integral calculus 1m/1 - 104017
  Lecture Tutorial Project/
Seminar 		Laboratory
Weekly
Hours 		4 2    
Credit
Points
5.0
 

Overlapping Courses: differential and integral calculus 1m 104010
differential and integral calculus 1t 104012
differential and integral calculus 1m/2 104018
mathematics 1/medicine 104087
mathematics for life sciences 104090
topics in mathematics for medicine 1 104093
infinitesimal calculus 1 104195
Incorporated Courses: differential and integral calculus 1 104003


The final grade will be determined by weekly quizzez, one midterm exam and a final exam.
The real numbers. Infinite sequences of real numbers. Real functions of one
variable: limits, continuity, continuity on a closed interval, monotonic
functions and inverse functions. Differentiability and the main theorem of the
differential calculus. The Taylor theorem, the l'Hopital rule and study of the
behavior of a function. The antiderivative and methods of integration.
The definite integral and its properties. Integrable functions.
The principle theorems of the integral calculus. Improper integrals.
Series of numbers, sequences of functions, series of functions and power series.
In the course there is a greater emphasis on theory and applications than in 104003.

 
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Created in 24/05/2013 Time 16:50:20