Admission Requirements
Prior knowledge of Analyse 1 (NA) and Lineare Algebra 1 (NA)
Description
This course deals with the elements of differential and integral calculus of functions of several variables. It is a sequel to the course analyse 1NA.
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:
parametric representations and equations of curves and surfaces
partial derivatives, gradient and directional derivative, differentiability
line, surface and volume integrals
vector fields: curl and divergence, scalar and vector potentials
integral theorems of Green, Gauss and Stokes
Critical points and extreme values, Lagrange's method of multipliers
Transferable Skills
further training in general mathematics skills
learning to write down a conclusion in a clear and precise way.
Timetable
Schedule
For detailed information go to Timetable in Brightspace
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 parts. The grade of the first midterm test counts 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.
Registration
As a student, you are responsible for registering on time, i.e. 14 days before the start of the course. This can be done via Mystudymap. You do this twice a year: once for the courses you want to take in semester 1 and once for the courses you want to take in semester 2. Please note: late registration is not possible.
Registration for courses in the first semester is possible from July; registration for courses in the second semester is possible from December. First-year bachelor students are registered for semester 1 by the faculty student administration; they do not have to do this themselves. For more information, see this page
In addition, it is mandatory for all students, including first-year bachelor students, to register for exams. This can be done up to and including 10 calendar days prior to the exam or up to five calendar days in case of a retake exam. You cannot participate in the exam or retake without a valid registration in My Studymap.
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 or Sterrenkunde met Wiskunde, take the course Analyse 2 with Mathematics.