# 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_20",{id:"j_id_20",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_22",{id:"j_id_22",showEffect:"fade",hideEffect:"fade",target:"isAnySteop"});});

2021S, UE, 3.0h, 3.0EC

## 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

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

## 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.

German