3-dimensional geometry and functions of several variables

Section	Topics	Recommended  Exercises
10.1	Analytic geometry in three dimensions	11, 25, 27, 29, 31, 33, 35, 37, 39
10.6	Cylindrical and spherical coordinates	3, 5, 9, 13
12.1	Vector values functions in on variable	17, 21, 33
12.2	Applications of vector differentiation	3
12.3	Curves and parametrizations	5, 7, 11, 13, 15
13.1	Functions in sevaral variables	5, 9, 13,15, 17, 23, 27, 33
13.2	Limits and continuity	5, 7, 9, 11, 15

Seminarium:  Working material for the seminars is here Seminarium 1. Download Seminarium 1.

The reason we have a seminar file is that when we have the seminars on campus we have a test each week instead of homework. The working material is given as a preparation for the seminar exam. It covers all the basic material we expect you to know at the end of the module.

Due to the lock down we cannot have seminars on campus and have therefore changed the test to homework assignments. It would be unreasonable to force you to hand in solutions to all the exercises in the working material (it takes some time to write the solutions in a presentable form and we will only have time to mark one exercise). Therefore we only have two exercises in the homework. But the two exercises are not enough to cover the entire module. Therefore I have kept the working material online and would strongly encourage you to work through all exercises in the working material. If you can solve all the exercises in the working material you have the basic mastery of the module and will most likely pass the exam.

Homework: You can find the homework for all seminars in this pdf-file. It is these exercises you should upload every week (2 exercises for each seminar). If you upload anything else we will not mark your solutions and you will automatically fail the seminar.