Course structure

The course consists of six modules. Each module consists of lectures (F), exercise sessions (Ö), and a seminar (S). Each module is structured as FFÖFÖS, where the seminar typically occurs directly after the weekend. The tab Module in the left bar links to a detailed description of modules.

Each seminar, if passed, gives you one bonus point for the final exam. Here is information about the seminars.

Weekly updates with information about the course is emailed to registered participants.

Examination

The course ends with a written exam. Older exams with solutions and information about finals can be found here: Final Exam. Start studying early with these examples from older exams.

Contact information

Teacher:

Markus Wolff, mail: markuswo"at"kth.se (replace "at" with @, this is made to avoid spam)

Assistants:

Anya Elise Elness Hanson: aeehan"at"kth.se

Sruti Bhattacharjee: srutib"at"kth.se

Exercise classes and seminars

Each week, 2 exercise classes and one seminar take places. Students will have time to present their solutions and ask questions regarding exercises or lecture material. Participation is highly suggested.

Grades

You can find your grades on submitted assignments and quizzes under Grades.

Communication

There will be a regularly scheduled email each week which will be send to all students. The email will give a brief overview what has been covered in class this week and what will be the topics for the next week.

You can fill out a survey regarding your preferences on what topics you would like to see revisited during the final two lecture. Survey The survey will be active for around a week.

Support for students with disabilities

Students with disabilities may be entitled to some support during examinations. For more information read here: More Information.

Student office

Administrative questions such as, e.g., course and exam registration, can be found here student-officeLinks to an external site..

Literature

The main source book is here.

Lecture notes

Hand written lecture notes can be found here.

Course content

Keywords: Euclidian n-space. Functions of several variables and vector-valued functions, including the following concepts: Graph, level curve, level surface. Limits and continuity, differentiability, partial derivatives, the chain rule, differentials. Tangent planes and linear approximation. Taylor’s Formula. Gradient and directional derivative. Jacobian matrix and Jacobian determinant. Invertibility and implicitly defined functions. Coordinate changes. Extreme-value problems. Multiple integrals. Line integrals and Green’s theorem. Flux integrals and the divergence theorem. Stokes’ theorem. Applications.

More details can be read in the Syllabus, you can find a course summary and links to the Course PM and the course's intended learning outcomes (ILOs).