# 102.074 Mathematics 1 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, VO, 4.0h, 6.0EC

## Properties

• Semester hours: 4.0
• Credits: 6.0
• Type: VO Lecture
• Format: Distance Learning

## Learning outcomes

After successful completion of the course, students are able to ...

• use logical connectives and quantifiers correctly,
• model quantitative relationships using the concept of functions,
• distinguish between the characteristic properties of the integer, rational, real and complex numbers,
• solve counting problems using a suitable combinatorial formula,
• perform basic calculations, such as calculation of roots, in the field of complex numbers,
• transform Cartesian to polar resp. cylindrical and spherical coordinates,
• determine the convergence and possibly the limit of a sequence, in particular of an infinite sum or a power series,
• determine continuity and differentiability of real functions in one variable, and to determine the derivative of such a function
• examine polynomials for their reducibility and to determine their zeros exactly or approximatively,
• expand real functions into their Taylor series and to formulate the relationship between these objects,
• express quantitative relationships using elementary functions such as exponential, power, trigonometric functions and their inverse functions,
• determine monotonicity, minimal and maximal values, and curvature by means of differential calculus,
• correctly interpret the integral of a real function, and in simple cases to determine it numerically

## Subject of course

Elements of mathematical logic, real and complex numbers, linear algebra in 2d and 3d, real functions, calculus.

## Teaching methods

3 E-Lectures/week, weekly Live-AMA on Wednesday 9:15AM

## Mode of examination

Written

Course starts on Monday 3/1/2021 at 8:15am

https://tuwien.zoom.us/j/92042110888?pwd=OE5nZWZlR3Nwc2I2WGJ4Y3dSRTdyQT09

## Course dates

DayTimeDateLocationDescription
Wed09:00 - 10:0010.03.2021 - 30.06.2021 (LIVE)Video Fragestunde
Mathematics 1 for Civil Engineering - Single appointments
DayDateTimeLocationDescription
Wed10.03.202109:00 - 10:00 Video Fragestunde
Wed17.03.202109:00 - 10:00 Video Fragestunde
Wed24.03.202109:00 - 10:00 Video Fragestunde
Wed14.04.202109:00 - 10:00 Video Fragestunde
Wed21.04.202109:00 - 10:00 Video Fragestunde
Wed28.04.202109:00 - 10:00 Video Fragestunde
Wed05.05.202109:00 - 10:00 Video Fragestunde
Wed12.05.202109:00 - 10:00 Video Fragestunde
Wed19.05.202109:00 - 10:00 Video Fragestunde
Wed26.05.202109:00 - 10:00 Video Fragestunde
Wed02.06.202109:00 - 10:00 Video Fragestunde
Wed09.06.202109:00 - 10:00 Video Fragestunde
Wed16.06.202109:00 - 10:00 Video Fragestunde
Wed23.06.202109:00 - 10:00 Video Fragestunde
Wed30.06.202109:00 - 10:00 Video Fragestunde

## Examination modalities

Written exam. Until further notice, the exams 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

The exact times of the written exams on the specified days can only be fixed after the registration deadline. The definitive lecture hall allocation will be sent out via TISS on the day before the examination.

Not necessary

## Curricula

Study CodeSemesterPrecon.Info
033 265 Civil Engineering 1. Semester
Course belongs to the introductory and orientation phase ("Studieneingangs- und Orientierungsphase")
033 266 Environmental Engineering 1. Semester
Course belongs to the introductory and orientation phase ("Studieneingangs- und Orientierungsphase")

## Literature

Lecture notes are available at Grafisches Zentrum.

none

German