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.

2020S, UE, 3.0h, 3.0EC

Properties

  • Semester hours: 3.0
  • Credits: 3.0
  • Type: UE Exercise

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

 

 

Lecturers

Contributors

Institute

Course dates

DayTimeDateLocationDescription
Wed12:00 - 13:0004.03.2020 - 11.03.2020HS 8 Heinz Parkus - BI Plenum
Mathematics 2 for Civil Engineering - Single appointments
DayDateTimeLocationDescription
Wed04.03.202012:00 - 13:00HS 8 Heinz Parkus - BI Plenum
Wed11.03.202012:00 - 13:00HS 8 Heinz Parkus - BI Plenum/Quizes

Examination modalities

Midterm exams (70%), pop-up exams (30%) and weekly problem assignments (bonus points)

Group dates

GroupDayTimeDateLocationDescription
BI2 I - FH4Tue13:00 - 15:0010.03.2020FH Hörsaal 4 104.409 Mathematics 2 for Civil Engineering BI2 I - FH4
BI2 I - HS12Tue13:00 - 15:0010.03.2020Hörsaal 12 104.409 Mathematics 2 for Civil Engineering BI2 I - HS12
BI2 II - HS8Tue15:00 - 17:0003.03.2020 - 10.03.2020HS 8 Heinz Parkus - BI 104.409 UE Mathematics 2 for Civil Engineering - BI2 II - HS8
BI2 II - HS12Tue15:00 - 17:0003.03.2020 - 10.03.2020Hörsaal 12 104.409 UE Mathematics 2 for Civil Engineering - BI2 II - HS12
BI2 II - HS13Tue15:00 - 17:0003.03.2020 - 10.03.2020HS 13 Ernst Melan - RPL 104.409 UE Mathematics 2 for Civil Engineering - BI2 II - HS13
UI2 III - HS8Tue17:00 - 19:0003.03.2020 - 10.03.2020HS 8 Heinz Parkus - BI 104.409 UE Mathematics 2 for Civil Engineering - UI2 III - HS8
UI2 III - HS12Tue17:00 - 19:0003.03.2020 - 10.03.2020Hörsaal 12 104.409 UE Mathematics 2 for Civil Engineering - UI2 III - HS12
UI2 III - HS13Tue17:00 - 19:0003.03.2020 - 10.03.2020HS 13 Ernst Melan - RPL 104.409 UE Mathematics 2 for Civil Engineering - UI2 III - HS13

Course registration

Use Group Registration to register.

Group Registration

GroupRegistration FromTo
BI2 I - FH402.03.2020 14:0009.03.2020 03:30
BI2 I - HS1202.03.2020 14:0009.03.2020 03:30
BI2 II - HS802.03.2020 14:0009.03.2020 03:30
BI2 II - HS1202.03.2020 14:0009.03.2020 03:30
BI2 II - HS1302.03.2020 14:0009.03.2020 03:30
UI2 III - HS802.03.2020 14:0009.03.2020 03:30
UI2 III - HS1202.03.2020 14:0009.03.2020 03:30
UI2 III - HS1302.03.2020 14:0009.03.2020 03:30

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, i.e. elements of mathematical logic, real and complex numbers, real functions and calculus in one dimension.

Preceding courses

Accompanying courses

Language

German