## 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.