# 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"});});

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.

Immanent

## 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.

German