Inhalt

[ 514MASTMATK21 ] KS Mathematics

Versionsauswahl
Workload Education level Study areas Responsible person Hours per week Coordinating university
3 ECTS B1 - Bachelor's programme 1. year Mathematics Jan Boeckmann 2 hpw Johannes Kepler University Linz
Detailed information
Original study plan Bachelor's programme International Business Administration 2025W
Learning Outcomes
Competences
Students can abstract practical problems from economy as mathematical models and solve them. They know how to solve and write down their problems in a formally concise way.
Skills Knowledge
Learning Outcomes

  1. Learning Outcome 3 (LO3): Ability to invert functions
  2. Learning Outcome 4 (LO4): Find optima of differentiable functions, which is a classical task in economics
  3. Learning Outcome 5 (LO5): Solve systems of linear equations
Course topics:

  1. Logic
  2. Sequences and Series
  3. Limits of Functions
  4. Continuity
  5. Differentiability
  6. Integals
  7. Systems of Linear Equations

Learning Outcomes

  1. Learning Outcome 1 (LO1): Understand foundations of logic, analytics, and linear algebra
  2. Learning Outcome 2 (LO2): Apply mathematical concepts to formalize and solve problems from the field of economics
Criteria for evaluation Regular homework exercises that must be submitted online via Moodle. The homework exercises are worth 20 points. Written exam at the end of the semester with 80 points. To be eligible for the exam, students have to be positive in the homework exercises. There is a possibility to repeat the exam in case of negative results or scheduling issues (retry exam). The exam consists of theoretical and practical questions. It lasts 90 minutes.

Final grades will be given as follows:

PointsGrade
87.5 - 100.01
75.0 – 87.02
62.5 – 74.53
50.0 – 62.04
0.0 - 49.55

Both the homework exercises and the exam cover all the learning outcomes.

Methods The course uses a combination of different teaching methods in order to

  1. maximize the motivation and attention of the students.
  2. address the learning objectives in the didactically best way.

This includes the following

  • Teacher-centred information inputs, supported by slides and literature
  • Graded homework exercises for students to ensure comprehension of the content, followed by joint discussions with the whole group
  • Solutions for the exercises are provided the week after
Study material
  • Slides
  • In-class exercises with solutions
  • Reading material
    • "Introduction to Linear Algebra" by Gilbert Strang
    • "Introduction to Real Analysis" by Robert G. Bartle and Donald R. Sherbert
  • Pointers to additional literature

(All content is provided via Moodle)

Changing subject? No
On-site course
Maximum number of participants 100
Assignment procedure Assignment according to priority