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Analyse 1 NA


Admission Requirements

Mathematics and Physics on Dutch high school VWO level


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

  • differential equations (separable DE and linear DE with constant coefficients)

  • convergence of sequences and series, esp. power series/Taylor series

Transferable Skills

  • further training in general mathematics skills

  • learning to write down a conclusion in a clear and precise way.


You will find the timetables for all courses and degree programmes of Leiden University in the tool MyTimetable (login). Any teaching activities that you have sucessfully registered for in MyStudyMap will automatically be displayed in MyTimeTable. Any timetables that you add manually, will be saved and automatically displayed the next time you sign in.

MyTimetable allows you to integrate your timetable with your calendar apps such as Outlook, Google Calendar, Apple Calendar and other calendar apps on your smartphone. Any timetable changes will be automatically synced with your calendar. If you wish, you can also receive an email notification of the change. You can turn notifications on in ‘Settings’ (after login).

For more information, watch the video or go the the 'help-page' in MyTimetable. Please note: Joint Degree students Leiden/Delft have to merge their two different timetables into one. This video explains how to do this.

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.

Reading list

Robert A. Adams and Christopher Essex: Calculus – A Complete Course (10th edition), Pearson Education, 2021.


From the academic year 2022-2023 on every student has to register for courses with the new enrollment tool MyStudyMap. There are two registration periods per year: registration for the fall semester opens in July and registration for the spring semester opens in December. Please see this page for more information. An exemption is the fall semester for 1st year bachelor students, the student administration will enroll this group.

Please note that it is compulsory to both preregister and confirm your participation for every exam and retake. Not being registered for a course means that you are not allowed to participate in the final exam of the course. Confirming your exam participation is possible until ten days before the exam.
Extensive FAQ's on MyStudymap can be found here.


Dr. Robert-Jan Kooman Dr. R.J. Kooman


Students who are doing a double propedeuse Natuurkunde met Wiskunde of Sterrenkunde met Wiskunde, take the course Analyse 1 with Mathematics.