104.409 Mathematics 2 for Civil Engineering
This course is in all assigned curricula part of the STEOP.
This course is in at least 1 assigned curriculum part of the STEOP.

2021S, UE, 3.0h, 3.0EC
TUWEL

Properties

  • Semester hours: 3.0
  • Credits: 3.0
  • Type: UE Exercise
  • Format: Distance Learning

Learning outcomes

After successful completion of the course, students are able to...

  • correctly use the terms vector space, linear dependency and basis,
  • understand the meaning and use of an inner product and a norm,
  • understand the relation between linear functions and matrices,
  • perform calculations with matrices, in particular to invert matrices and perform a change of basis,
  • recognize linear systems of equations and efficiently determine and interpret the set of solutions,
  • determine and interpret determinant, eigenvalues and eigenvectors,
  • differentiate real functions in several variables, expand them in Taylor series and determine their local extrema,
  • parametrize basic paths and surfaces and determine and interpret integrals over those paths and surfaces,
  • calculculate and interpret divergence, gradient and curl of vector resp. scalar fields and represent them using nabla,
  • solve linear and exact differential equations as well as linear systems of differential equations,
  • construct simple probability spaces and calculate (conditional) probabilities,
  • calculate expectation value and variance of random variables,
  • to recognize the applicability of the law of large numbers and the central limit theorem.

Subject of course

Linear algebra, ordinary differential equations, systems of linear differential equations, differential calculus, multiple integrals, basic concepts of vector analysis, introduction to statistics and probability theory.

Teaching methods

Solving preassigned problems. Discussion of questions in the online forum and in the weekly plenum.

Mode of examination

Immanent

Additional information

The first session (including the first pop-up quiz) will be on Tuesday 16 March.

Introductory Meeting on March 9, 2021 at 13PM on Zoom



 

Lecturers

Contributors

Institute

Course dates

DayTimeDateLocationDescription
Tue13:00 - 14:0009.03.2021 (LIVE)Zoom-Meeting: https://tuwien.zoom.us/j/95470583572

Examination modalities

Midterm exams (60%), pop-up exams (40%) and weekly problem assignments.

Until further notice, the performance reviews will take place in online format. The following requirements must be met for this:

  • Internet-capable terminal with camera and microphone as well as smartphone
  • generally stable internet access.
  • Access to a room that can be used alone during the exam period.
  • Willingness to ensure that there are no avoidable disruptions (telephone/visits, etc.) during the examination period

Group dates

GroupDayTimeDateLocationDescription
Gruppe 1Tue13:00 - 14:3016.03.2021 - 22.06.2021 Mini Plenum104.409 Mathematics 2 for Civil Engineering Gruppe 1
Gruppe 2Tue13:00 - 14:3016.03.2021 - 22.06.2021 Mini Plenum104.409 Mathematics 2 for Civil Engineering Gruppe 2
Gruppe 3Tue13:00 - 14:3016.03.2021 - 22.06.2021 Mini Plenum104.409 Mathematics 2 for Civil Engineering Gruppe 3
Gruppe 4Tue15:00 - 16:3016.03.2021 - 22.06.2021 Mini Plenum104.409 Mathematics 2 for Civil Engineering Gruppe 4
Gruppe 5Tue15:00 - 16:3016.03.2021 - 22.06.2021 Mini Plenum104.409 Mathematics 2 for Civil Engineering Gruppe 5
Gruppe 6Tue17:00 - 18:3016.03.2021 - 22.06.2021 Mini Plenum104.409 Mathematics 2 for Civil Engineering Gruppe 6
Gruppe 7Tue17:00 - 18:3016.03.2021 - 22.06.2021 Mini Plenum104.409 Mathematics 2 for Civil Engineering Gruppe 7

Course registration

Use Group Registration to register.

Group Registration

GroupRegistration FromTo
Gruppe 101.03.2021 12:0001.03.2021 12:01
Gruppe 201.03.2021 12:0001.03.2021 12:01
Gruppe 301.03.2021 12:0001.03.2021 12:01
Gruppe 401.03.2021 12:0001.03.2021 12:01
Gruppe 501.03.2021 12:0001.03.2021 12:01
Gruppe 601.03.2021 12:0001.03.2021 12:01
Gruppe 701.03.2021 12:0001.03.2021 12:01

Curricula

Study CodeSemesterPrecon.Info
033 265 Civil Engineering 2. Semester
033 266 Environmental Engineering 2. Semester

Literature

No lecture notes are available.

Previous knowledge

Mathematics 1 für CE/EE, i.e. elements of mathematical logic, real and complex numbers, real functions and calculus in one dimension.

Preceding courses

Accompanying courses

Language

German