Valid for: 2020/21
Decided by: PLED F/Pi
Date of Decision: 2020-04-01
Main field: Technology.
Compulsory for: B1, BI1, C1, D1, E1, F1, I1, K1, L1, N1, Pi1, V1, W1
Language of instruction: The course will be given in Swedish
The aim of the course is to give a basic introduction to calculus one variable. Particular emphasis is put on the role that the subject plays in applications in different areas of technology, in order to give the future engineer a good foundation for further studies in mathematics as well as in other subjects. The aim as also to develop the student's ability to solve problems, to assimilate mathematical text and to communicate mathematics.
Knowledge and understanding
For a passing grade the student must
Competences and skills
For a passing grade the student must
Complex numbers and polynomials. The concept of primitive function. Simple integration methods: partial integration and change of variable. Partial fractions. Definition of the Riemann integral. Riemann sums. Geometrical and other applications of integrals. Improper integrals. Differential equations of first order: linear and with separable variables. Linear differential equations with constant coefficients. Solution of homogeneous and certain inhomogeneous equations. Applications. The Taylor and Maclaurin formulae. Expansions of the elementary functions. Understanding the remainder term. Applications of Maclaurin expansions. Problem solving within the above areas.
Grading scale: TH - (U,3,4,5) - (Fail, Three, Four, Five)
Assessment: Written test comprising theory and problem solving.
Oral assignment. ONLY STUDENTS WHO PASSED THE ORAL ASSIGNMENT MAY PARTICIPATE IN THE WRITTEN TEST.
The examiner, in consultation with Disability Support Services, may deviate from the regular form of examination in order to provide a permanently disabled student with a form of examination equivalent to that of a student without a disability.
Parts
Code: 0120. Name: Written Examination.
Credits: 7,5. Grading scale: TH. Assessment: Written test comprising theory and problem solving. One assignment (oral and in writing) must be passed before the examination.
Code: 0220. Name: Assignment.
Credits: 0. Grading scale: UG.
Assumed prior knowledge: FMAB65 Calculus in One Variable B1.
The number of participants is limited to: No
The course overlaps following course/s: FMA410, FMA415, FMA645, FMAA01, FMAA05
Course coordinator: Studierektor Anders Holst, Studierektor@math.lth.se
Course administrator: Studerandeexpeditionen, expedition@math.lth.se
Course homepage: http://www.maths.lth.se/course/endimB2ny/
Further information: The course Calculus in one variable is taught and examined in two versions, track A (the courses Calculus in One Variable A1-A3) and track B (the courses Calculus in One Variable B1-B2) respectively, depending on the student's programme. The goals are the same. The present course belongs to track B. A student who has enrolled in this course may not later enrol in courses from track A. Before the written retake exams it will be possible to retake the oral assignment.