Admission Requirements
Mathematics and Physics on Dutch high school VWO level
Description
This course deals with the elements of differential and integral calculus of functions of one variable. The aim of the course is to familiarise students with the basic concepts of the theory and to provide them with some useful background for applications in phyics/astronomy and other areas of mathematics.
Course Objectives
After finishing this course you have an operational knowledge of the following concepts and you are able to make (simple) problems concerning the following subjects:
complex numbers
polynomial equations
limits
continuity and differentiability
lineair approximations of functions
Taylor polynomials
order symbols (small o- and big-O-notation)
integration techniques and applications
convergence of sequences and series
Timetable
Schedule
For detailed information go to Timetable in Brightspace
Mode of instruction
See Brightspace
Assessment Method
written exam with open questions
(optional) homework
The exam consists of two partial exams. The grade of the midterm test for 30% and the grade of the final exam counts for 70% of the final grade.
By handing in homework (optional!) a bonus of 0.5 maximum can be earned that will be added to the total grade of the exam. This bonus is only given if the total grade of the exam is at least 5.5.
In the same academic year a retake exam will be organised. This will be in the form of a single exam about the entire course matter. The homework bonus grade and the partial grades are not valid for the retake.
Brightspace
Instructions and course material can be found on Brightspace. Registration for Brightspace occurs automatically when students enroll in uSis via uSis by registration for a class activity using a class number
Reading list
Robert A. Adams and Christopher Essex: Calculus – A Complete Course (9th edition), Pearson Education, 2016.
Contact
Dr. Robert-Jan Kooman kooman@math.leidenuniv.nl Contactgegevens docent: Dr. R.J. Kooman
Remarks
Students who are doing a double propedeuse Natuurkunde met Wiskunde of Sterrenkunde met Wiskunde, take the course Analyse 1 with Mathematics.