Calculus and Geometry

Education facts

Code: MAGA52

Instruction is in the form of lectures and exercises. Main course components: - Integrals: primitive functions, fundamental theorem of calculus, integration by substitution, partial integration, integration of rational functions, generalised integrals. - Applications of integrals: areas of plane domains, arc lengths, volumes of solids of revolution. - Ordinary differential equations: first order linear and separable differential equations, linear differential equations with constant coefficients, and integral equations. - Series: the concepts convergence and divergence, geometric series, comparison test, ratio test, integral test. - Vectors in the plane and space, scalar and vector product, lines and planes, distance between points, lines and planes. - Equations for surfaces and equations and parametric representations of curves.

Entry requirements

Registered for Foundation Course in Mathematics, 7.5 ECTS credits, 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 and Geometry

  Karlstad University

  Karlstad

  Start date: 9 November 2026

  End date: 17 January 2027

  Pace of study: 50 %