Calculus for Engineers
Syllabus, Bachelor's level, 1MA018
This course has been discontinued.
- Code
- 1MA018
- Education cycle
- First cycle
- Main field(s) of study and in-depth level
- Mathematics G1N
- Grading system
- Fail (U), Pass (3), Pass with credit (4), Pass with distinction (5)
- Finalised by
- The Faculty Board of Science and Technology, 16 April 2013
- Responsible department
- Department of Mathematics
Entry requirements
General entry requirements and Mathematics 3c or Mathematics D
Content
Elementary functions, monotonicity and inverse. The inverse trigonometric functions. Limits and continuity: definitions and rules. The derivative: definitions, rules, the mean value theorem with applications. Optimisation and curve sketching. Primitive functions and integration techniques. The integral: geometric interpretation, the fundamental theorem of integral calculus. Improper integrals. Applications of integrals: areas, volumes of solids of revolution, arc length. MacLaurin expansions with applications, l’Hospital’s rule. Ordinary differential equations: the solution concept, separable and linear first order equations.
Instruction
Lectures and problem solving sessions.
Assessment
Written examination at the end of the course (9 credits). Moreover, compulsory assignments during the course (1 credit).