MA1206 Multivariable Calculus

The course aims for students to acquire basic understanding of the mathematical analysis of several variables. The contents are of great use particularly in engineering and science disciplines.

Prerequisites

Analysis MA1102, 15 credits and Linear Algebra MA1106, 7.5 credits

Read more about general admission requirements.

Content

Real and vector valued functions of several variabels, level curves, level surfaces, limits, partial derivatives, gradient, directional derivatives, power series, uniform convergence, continuous functions, multiple integrals, Taylor's formula, extreme values​​, implicit functions, line integrals.

Learning outcomes

After the course the student must:
• know the course content, concepts and relationships
• solve mathematical problems
• be able to verbally describe and hold talks on course content, concepts, relationships and problem solving methods
• describe applications of subject matter

Generic Skills

Following generic skills are trained in the course:
• Logical thinking.
• Sustainable abstract thinking.
• Knowledge sharing.
• Critical and self-critical ability.
• Ability to formulate questions.

Course literature and other teaching material

Course literature and other teaching material

Learning methods

The course is offered as a campus course with lectures and exercises.

Work placement

No work placement is included in the planned learning activities. BTH is aiming for a close contact with the surrounding community when developing courses and programmes.

Teachers

Examiner
Håkan Lennerstad

Course Manager
Robert Nyqvist

Teacher(s)
Robert Nyqvist

Planned learning activities

Lectures and exercises.

Time allocation

On average, a student should study 200 hours to reach the learning outcomes. This time includes all the various available learning activities (lectures, self studies, examinations, etc.). This estimation is based on the fact that one academic year counts as 60 ECTS credits, corresponding to an average student workload of 1 600 hours. This may vary individually.

Assessments

Code	Title	ECTS credits	Grade
0805	Written examination	4.5	U/G/VG
0815	Project	3	U/G/VG

Grading

The course will be graded Fail (U), Pass (G) or Pass with Distinction (VG).

On request grades according to ECTS will be given.

Future exams

No upcoming, centrally coordinated, examinations for this course were found.

To participate in a centrally coordinated examination, you must enroll in Student's Portal, no later than fifteen days before the examination.

Time and location for the examination will be published about 5 days in advance.

There might be other scheduled examinations. Information concerning these examinations are available in It's Learning or at other places that the person who is responsible of the course will refer to.

Course Evaluation

The course manager is responsible for the views of students on the course being systematically and regularly gathered and that the results of the evaluations in various forms affect the form and development of the course.