Calculus in several variables

Education facts

Code: MAGA54

Main course components: <br> \- Basic topological concepts: open, closed and compact sets<br> \- Functions of several variables with limits and continuity, partial derivatives, the chain rule, directional derivatives and gradients, tangent planes, Jacobian matrices and Jacobian determinants. <br> \- Coordinate transformations, simple partial differential equations. <br> \- Taylor polynomials in several variables. <br> \- Extreme values: classifying critical points, local and global extreme values, the method of Lagrange multipliers. <br> \- Double and triple integrals: iterated integration, change of variables with polar, cylindrical and spherical coordinates, generalized integrals <br> \- Geometrical and physical applications: area of curved surface, volume, mass and centre of mass <br> \- Vector fields, conservative vector fields, potentials <br> \- Divergence and rotation operators, nabla operator <br> \- Line integrals, surface integrals, flux integrals <br> \- Green's formula, Gauss' divergence theorem, Stokes' theorem.

Entry requirements

Foundation course in Mathematics 7.5 ECTS cr., Calculus and Geometry, 7.5 ECTS cr, and Linear Algebra 7.5 ECTS cr each, or equivalent.

Education offerings

Each offering has its own dates and conditions. Closed offerings are retained as history and do not mean that a new application is open.

• Calculus in several variables

  Karlstad University

  Karlstad

  Start date: 29 March 2027

  End date: 6 June 2027

  Pace of study: 50 %