Multivariable Calculus 6 Credits
The course focuses on the basic theory of functions of several variables. It introduces the basic notions and techniques in the differential and integral calculus in two and three space dimensions. Some applications in geometry and physics are also given.Course Contents
The course focuses on the basic theory of functions of several variables. It introduces the basic notions and techniques in the differential and integral calculus in two and three space dimensions. Some applications in geometry and physics are also given.The course includes the following topics:
- Functions of several variables, domains, graphs and level curves/surfaces
- Limits and continuity
- Partial derivatives, directional derivatives, differentiability and tangent planes, the chain rule
- Local and global extremes; optimization under constraints
- Double and triple integrals, Fubini’s theorem and change of variables
- Basics about vector fields; conservative fields and their potentials
- Line- and flux integrals, Greens and Gauss divergence theorems
Prerequisites
General entry requirements and completed course Single Variable Calculus, 6 credits.Level of Education: Bachelor G1F
Course code/Ladok code: TFVK14
The course is conducted at: School of Engineering
Previous and ongoing course occasions
Type of course
Program
Study type
Campus
Semester
Autumn
2016:
Aug 22
-
Oct 09
Rate of Study
100%
Language
English
Location
Jönköping
Time
Day
Examiner
Tjavdar Ivanov
Course coordinator
Tjavdar Ivanov
Tuition fees do NOT apply for EU/EEA citizens or exchange students
12600kr
Application code
HJ-T6170
Type of course
Single subject
Study type
Campus
Number of meetings
0
Semester
Autumn
2016:
Aug 22
-
Oct 09
Rate of Study
50%
Language
English
Location
Jönköping
Time
Day
Number of places
30
Examiner
Tjavdar Ivanov
Course coordinator
Tjavdar Ivanov
Tuition fees do NOT apply for EU/EEA citizens or exchange students
12600kr
Application code
HJ-13138
Last modified 2024-03-08 12:57:42