Calculus and Geometry
7.5 ECTS creditsInstruction 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.
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.
Progressive specialisation:
G1F (has less than 60 credits in first‐cycle course/s as entry requirements)
Education level:
Undergraduate level
Admission requirements
Registered for Foundation Course in Mathematics, 7.5 ECTS credits, or equivalent
Selection:
Selection is usually based on your grade point average from upper secondary school or the number of credit points from previous university studies, or both.
This course is included in the following programme
- Bachelor Programme in Physics (studied during year 1)
- Mathematics Programme (studied during year 1)
- Master of Science in Computer Engineering (studied during year 1)
- Master of Science in Energy and Environmental Engineering (studied during year 1)
- Master of Science in Industrial Engineering and Management (studied during year 1)
- Master of Science in Chemical Engineering (studied during year 1)
- Master of Science in Mechanical Engineering (studied during year 1)
- Master of Science in Engineering Physics (studied during year 1)