URL study guide
https://tue.osiris-student.nl/onderwijscatalogus/extern/cursus?cursuscode=6PMR01&collegejaar=2025&taal=enDescription
This course covers several aspects of advanced calculus, including second-order differential equations, functions of two realvariables, planes, lines, vectors, distance, partial derivatives, the chain rule(s), linear approximations, gradient, directional derivative, double integrals
in cartesian and polar coordinates, and triple integrals using cartesian, cylindrical and spherical coordinates.
Extra information about the assessment
The final course grade will be the weighted average, which should by at least a 5.5 to pass the course.
The digital tests for this course will take place every afternoon (3 sessions per afternoon, with a maximal capacity of 36 students per session, during week 1 till week 7 of quartile 2, and every morning and afternoon (3 sessions per morning and 3 sessions per afternoon, with a maximal capacity of 36 students per session in week 8 of quartile 2. Each student has the right to have at least 1 resit for each digital test within the course, as long as the student distributed the attempts for the digital tests evenly over the quartile.
Objectives
- The student is able to solve second order linear homogeneous and inhomogeneous differential equations with constant coefficients.
- The student is able to analyse functions of more than one variable using level curves, partial derivatives, the gradient, linear approximations and the tangent plane, and Taylor series.
- The student is able to compute and work with double and triple integrals, by reducing them to repeated integrals with special attention to cartesian, polar and spherical coordinates.