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.

Compulsory assignments

• Exercises

Recommended previous knowledge

MA1101 Basic calculus I, MA1201 Linear algebra and geometry.

Course materials

Will be announced at the start of the course.

Credit reductions