# MA1103 - Vector Calculus

### Examination arrangement

Examination arrangement: Aggregate score

Evaluation Weighting Duration Grade deviation Examination aids
Project 20/100
School exam 80/100 4 hours D

### Course content

The course provides an introduction to functions of several real variables and classical vector analysis. Topics discussed are: partial derivatives; directional derivatives; gradients; extremal problems and the Lagrange multiplier method; multiple integrals, line and surface integrals; vector valued functions; divergence, curl and flux of vector fields; the theorems of Green and Stokes; the divergence theorem; and applications.

### Learning outcome

1 Knowledge. The student has knowledge of central concepts in multivariable analysis, including space curves; directional derivative; gradient; multiple integrals; line and surface integrals; vector fields; divergence, curl and flux; the theorems of Green and Stokes, and the divergence theorem. 2. Skills. The student is able to apply techniques from multivariable analysis to set up and solve mathematical models, to deduce simple mathematical results, and to calculate integrals. The student is able to set up and solve simple optimization problems, including problems with constraints.

### Learning methods and activities

Lectures and compulsory exercises. Final grade based on written final examination (80%) and project (20%). In the event of a re-sit examination the written examination may be replaced by an oral examination.

• Exercises

### Further on evaluation

In the case that the student receives an F/Fail as a final grade after both ordinary and re-sit exam, then the student must retake the course in its entirety. Submitted work that counts towards the final grade will also have to be retaken. For more information about grading and evaluation, see «Teaching methods and activities».

### Specific conditions

Compulsory activities from previous semester may be approved by the department.

### Course materials

Will be announced at the start of the course.

### Credit reductions

Course code Reduction From To
MNFMA109 7.5
TMA4105 7.5
More on the course
Facts

Version: 1
Credits:  7.5 SP
Study level: Foundation courses, level I

Coursework

Term no.: 1
Teaching semester:  SPRING 2022

Language of instruction: -

Location: Trondheim

Subject area(s)
• Mathematics
Contact information
Course coordinator:

Department of Mathematical Sciences

# Examination

#### Examination arrangement: Aggregate score

Term Status code Evaluation Weighting Examination aids Date Time Examination system
Spring ORD School exam 80/100
Spring ORD Project 20/100
• * The location (room) for a written examination is published 3 days before examination date. If more than one room is listed, you will find your room at Studentweb.
Examination

For more information regarding registration for examination and examination procedures, see "Innsida - Exams"

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