Course syllabus

Endimensionell analys B1
Calculus in One Variable B1

FMAB65, 7,5 credits, G1 (First Cycle)

Valid for: 2022/23
Faculty: Faculty of Engineering, LTH
Decided by: PLED F/Pi
Date of Decision: 2022-04-20

General Information

Main field: Technology.
Compulsory for: B1, BI1, C2, D1, E1, F1, I1, K1, L1, N1, Pi1, V1, W1, R1
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.

Learning outcomes

Knowledge and understanding
For a passing grade the student must

Competences and skills
For a passing grade the student must


The number concept. Calculation with fractions. Inequalities. Square roots. Curves and equations of second degree. Plane geometry. Analytic geometry. The circle, ellipse, hyperbola. Arithmetic and geometric sums. The binomial theorem. Modulus of a number. Trigonometry. Powers and logarithms. The concept of a function. The properties of the elementary functions: graphs, formulas. Sequences of numbers. Limits with applications: asymptotes, the number e, series. Continuous functions. Derivatives: definition and properties, applications. Derivatives of the elementary functions. Properties of differentiable functions: the mean value theorem with applications. Curve sketching. Local extrema. Optimization. Some simple mathematical models. Problem solving within the above areas.


Examination details

Grading scale: TH - (U,3,4,5) - (Fail, Three, Four, Five)
Assessment: Written test comprising theory and problem solving. Computer quizzes. Oral and written assignment. ONLY STUDENTS WHO PASSED THE COMPUTER QUIZZES AND THE 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.

Code: 0121. Name: Written Examination.
Credits: 7,5. Grading scale: TH. Assessment: Written test comprising theory and problem solving. The computer quizzes must be passed before the examination. The assignment (oral and in writing) must be passed before the examination.
Code: 0221. Name: Assignment.
Credits: 0. Grading scale: UG.
Code: 0321. Name: Computer Quizzes.
Credits: 0. Grading scale: UG.


The number of participants is limited to: No
The course overlaps following course/s: FMAA05, FMA410, FMA415, FMA645, FMAA01, FMAB45, FMAB50

Reading list

Contact and other information

Course coordinator: Studierektor Anders Holst,
Course administrator: Studerandeexpeditionen,
Course homepage:
Further information: 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 computer quizzes or the assignment, if needed.