# 104.409 Mathematics 2 for Civil Engineering This course is in all assigned curricula part of the STEOP.\$(function(){PrimeFaces.cw("Tooltip","widget_j_id_21",{id:"j_id_21",showEffect:"fade",hideEffect:"fade",target:"isAllSteop"});});This course is in at least 1 assigned curriculum part of the STEOP.\$(function(){PrimeFaces.cw("Tooltip","widget_j_id_23",{id:"j_id_23",showEffect:"fade",hideEffect:"fade",target:"isAnySteop"});}); 2024S 2023W 2023S 2022W 2022S 2021W 2021S 2020W 2020S 2019W 2019S 2018W 2018S 2017W 2017S 2016W 2016S 2015S

2023S, UE, 3.0h, 3.0EC

## Properties

• Semester hours: 3.0
• Credits: 3.0
• Type: UE Exercise
• LectureTube course
• Format: Blended 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

The first session will be on Tuesday 21, March 2023.

## Course dates

DayTimeDateLocationDescription
Mon12:15 - 13:0006.03.2023 Zoom Meeting (LIVE)https://tuwien.zoom.us/j/67339739158
Thu12:00 - 13:0009.03.2023 - 29.06.2023HS 8 Heinz Parkus - CEE Plenum
Fri10:00 - 12:0005.05.2023FH Hörsaal 1 - MWB Midterm
Fri10:00 - 12:0005.05.2023GM 1 Audi. Max.- ARCH-INF Midterm
Fri10:00 - 12:0005.05.2023GM 5 Praktikum HS- TCH Midterm
Mathematics 2 for Civil Engineering - Single appointments
DayDateTimeLocationDescription
Mon06.03.202312:15 - 13:00 Zoom Meetinghttps://tuwien.zoom.us/j/67339739158
Thu09.03.202312:00 - 13:00HS 8 Heinz Parkus - CEE Plenum
Thu16.03.202312:00 - 13:00HS 8 Heinz Parkus - CEE Plenum
Thu23.03.202312:00 - 13:00HS 8 Heinz Parkus - CEE Plenum
Thu30.03.202312:00 - 13:00HS 8 Heinz Parkus - CEE Plenum
Thu20.04.202312:00 - 13:00HS 8 Heinz Parkus - CEE Plenum
Thu27.04.202312:00 - 13:00HS 8 Heinz Parkus - CEE Plenum
Thu04.05.202312:00 - 13:00HS 8 Heinz Parkus - CEE Plenum
Fri05.05.202310:00 - 12:00FH Hörsaal 1 - MWB Midterm
Fri05.05.202310:00 - 12:00GM 1 Audi. Max.- ARCH-INF Midterm
Fri05.05.202310:00 - 12:00GM 5 Praktikum HS- TCH Midterm
Thu11.05.202312:00 - 13:00HS 8 Heinz Parkus - CEE Plenum
Thu25.05.202312:00 - 13:00HS 8 Heinz Parkus - CEE Plenum
Thu01.06.202312:00 - 13:00HS 8 Heinz Parkus - CEE Plenum
Thu15.06.202312:00 - 13:00HS 8 Heinz Parkus - CEE Plenum
Thu22.06.202312:00 - 13:00HS 8 Heinz Parkus - CEE Plenum
Thu29.06.202312:00 - 13:00HS 8 Heinz Parkus - CEE Plenum

## Examination modalities

Midterm exams, pop-up exams and problem assignments.

## Group dates

GroupDayTimeDateLocationDescription
Gruppe 1Tue13:00 - 15:0021.03.2023 - 27.06.2023HS 8 Heinz Parkus - CEE 104.409 Mathematics 2 for Civil Engineering Gruppe 1
Gruppe 2 - ReserveTue15:00 - 17:0021.03.2023 - 27.06.2023HS 8 Heinz Parkus - CEE 104.409 Mathematics 2 for Civil Engineering Gruppe 2 - Reserve
Gruppe 3Tue13:00 - 15:0021.03.2023 - 27.06.2023Hörsaal AE U1 - 1 - CEE 104.409 Mathematics 2 for Civil Engineering Gruppe 3
Gruppe 4Tue15:00 - 17:0021.03.2023 - 27.06.2023Hörsaal AE U1 - 1 - CEE 104.409 Mathematics 2 for Civil Engineering Gruppe 4
Gruppe 5Tue13:00 - 15:0021.03.2023 - 27.06.2023EI 3 Sahulka HS - UIW 104.409 Mathematics 2 for Civil Engineering Gruppe 5
Gruppe 6Tue17:00 - 19:0021.03.2023 - 27.06.2023EI 3 Sahulka HS - UIW 104.409 Mathematics 2 for Civil Engineering Gruppe 6
Gruppe 7Tue17:00 - 19:0021.03.2023 - 27.06.2023EI 10 Fritz Paschke HS - UIW 104.409 UE Mathematics 2 for Civil Engineering - Gruppe 7
Gruppe 8 - ReserveTue13:00 - 15:0021.03.2023 - 27.06.2023EI 10 Fritz Paschke HS - UIW 104.409 Mathematics 2 for Civil Engineering Gruppe 8 - Reserve

## Course registration

Use Group Registration to register.

## Group Registration

GroupRegistration FromTo
Gruppe 109.03.2023 15:0016.03.2023 15:00
Gruppe 2 - Reserve09.03.2023 15:0016.03.2023 15:00
Gruppe 309.03.2023 15:0016.03.2023 15:00
Gruppe 409.03.2023 15:0016.03.2023 15:00
Gruppe 509.03.2023 15:0016.03.2023 15:00
Gruppe 609.03.2023 15:0016.03.2023 15:00
Gruppe 709.03.2023 15:0016.03.2023 15:00
Gruppe 8 - Reserve09.03.2023 15:0016.03.2023 15:00

## Curricula

Study CodeObligationSemesterPrecon.Info
033 265 Civil Engineering Mandatory2. Semester
033 266 Environmental Engineering Mandatory2. 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.

German