Admission Requirements
Analyse 1 or 1NA and Lineaire Algebra 1 of 1NA
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
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 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.
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 2 with Mathematics.