# 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"});});

2020W, 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,
• describe the properties of an inner product and a norm and to apply them in specific computations,
• explain the relation between linear functions and matrices,
• perform calculations with matrices, in particular to invert matrices and perform a change of basis,
• identify 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,
• describe 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, linear partial differential equations.

## Teaching methods

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

Immanent

## Examination modalities

Online quizzes (100%) and weekly problem assignments (bonus points)

## Course registration

Begin End Deregistration end
31.08.2020 03:30 11.10.2020 12:00 19.10.2020 23:55

## Curricula

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

## Literature

No lecture notes are available.

## Previous knowledge

Das positive Absolvieren der Übung Mathematik 1 für BI ist dringend empfohlen!

## Miscellaneous

• Attendance Required!

German