Course syllabus

Introduction to Real Analysis
Introduktion till reell analys

FMAA60, 7.5 credits, G1 (First Cycle)

Valid for: 2025/26
Faculty: Faculty of Engineering LTH
Decided by: PLED F/Pi
Date of Decision: 2025-04-10
Effective: 2025-05-05

General Information

Depth of study relative to the degree requirements: First cycle, in-depth level of the course cannot be classified
Elective for: C1, D1, F1, I1, M1, MD1, N1, Pi1, W1
Language of instruction: The course will be given in Swedish

Aim

To supplement the course in single variable calculus with theory for which there is no room within standard course. The course is meant for beginning students who already mastered large parts of the standard single variable calculus course.
Many methods and more abstract points of view are introduced to carry out proofs that are left out of the standard calculus course. They make it easier to see patterns and analogies in later courses.
The new ways of thinking and the concepts give the student a better capability to creatively attack new problems.

Learning outcomes

Knowledge and understanding
For a passing grade the student must

Competences and skills
For a passing grade the student must

Contents

Examination details

Grading scale: TH - (U, 3, 4, 5) - (Fail, Three, Four, Five)
Assessment: Written exam.

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.

Modules
Code: 0118. Name: Introduction to Real Analysis.
Credits: 7.5. Grading scale: TH - (U, 3, 4, 5).

Admission

Assumed prior knowledge: FMAB65 Calculus in One Variable B1
The number of participants is limited to: No

Reading list

Contact

Course coordinator: Anders Holst, studierektor@math.lth.se
Course coordinator: Tomas Persson, tomasp@maths.lth.se
Examinator: Anders Holst, Anders.Holst@math.lth.se
Course administrator: Studerandeexpeditionen, expedition@math.lth.se
Course homepage: https://canvas.education.lu.se/courses/20435