Foundation Course in Mathematics, 6 credits (TATB01)

Matematisk grundkurs, 6 hp

Main field of study

Mathematics Applied Mathematics

Level

First cycle

Course type

Single subject and programme course

Examiner

Fredrik Andersson (I, Ii), Mikael Langer (M, DPU, EMM), Johan Thim (Y, Yi, MED, Mat, FyN, FRIST)

Director of studies or equivalent

Jesper Thorén
Course offered for Semester Period Timetable module Language Campus VOF
Single subject course (Full-time, Day-time) Autumn 2020 0, 1 -, 4 Swedish Linköping
6CYYY Applied Physics and Electrical Engineering, Master of Science in Engineering 1 (Autumn 2020) 0, 1 -, 4 Swedish Linköping o
6CYYI Applied Physics and Electrical Engineering - International, Master of Science in Engineering, French 1 (Autumn 2020) 0, 1 -, 4 Swedish Linköping o
6CYYI Applied Physics and Electrical Engineering - International, Master of Science in Engineering, Spanish 1 (Autumn 2020) 0, 1 -, 4 Swedish Linköping o
6CYYI Applied Physics and Electrical Engineering - International, Master of Science in Engineering, German 1 (Autumn 2020) 0, 1 -, 4 Swedish Linköping o
6CYYI Applied Physics and Electrical Engineering - International, Master of Science in Engineering, Japanese 1 (Autumn 2020) 0, 1 -, 4 Swedish Linköping o
6CYYI Applied Physics and Electrical Engineering - International, Master of Science in Engineering, Chinese 1 (Autumn 2020) 0, 1 -, 4 Swedish Linköping o
6CMED Biomedical Engineering, Master of Science in Engineering 1 (Autumn 2020) 0, 1 -, 4 Swedish Linköping o
6CDPU Design and Product Development, Master of Science in Engineering 1 (Autumn 2020) 0, 1 -, 3 Swedish Linköping o
6CEMM Energy - Environment - Management, Master of Science in Engineering 1 (Autumn 2020) 0, 1 -, 3 Swedish Linköping o
6CMMM Mechanical Engineering, Master of Science in Engineering 1 (Autumn 2020) 0, 1 -, 3 Swedish Linköping o
6CIII Industrial Engineering and Management, Master of Science in Engineering 1 (Autumn 2020) 0, 1 -, 2 Swedish Linköping o
6CIEI Industrial Engineering and Management - International, Master of Science in Engineering, French 1 (Autumn 2020) 0, 1 -, 2 Swedish Linköping o
6CIEI Industrial Engineering and Management - International, Master of Science in Engineering, Japanese 1 (Autumn 2020) 0, 1 -, 2 Swedish Linköping o
6CIEI Industrial Engineering and Management - International, Master of Science in Engineering, Spanish 1 (Autumn 2020) 0, 1 -, 2 Swedish Linköping o
6CIEI Industrial Engineering and Management - International, Master of Science in Engineering, German 1 (Autumn 2020) 0, 1 -, 2 Swedish Linköping o
6CIEI Industrial Engineering and Management - International, Master of Science in Engineering, Chinese 1 (Autumn 2020) 0, 1 -, 2 Swedish Linköping o
6KMAT Mathematics, Bachelor's Programme 1 (Autumn 2020) 0, 1 -, 4 Swedish Linköping o

Main field of study

Mathematics, Applied Mathematics

Course level

First cycle

Advancement level

G1X

Course offered for

  • Master of Science in Applied Physics and Electrical Engineering
  • Master of Science in Applied Physics and Electrical Engineering - International
  • Master of Science in Biomedical Engineering
  • Master of Science in Design and Product Development
  • Master of Science in Energy - Environment - Management
  • Master of Science in Mechanical Engineering
  • Master of Science in Industrial Engineering and Management
  • Master of Science in Industrial Engineering and Management - International
  • Bachelor's Programme in Mathematics

Entry requirements

Note: Admission requirements for non-programme students usually also include admission requirements for the programme and threshold requirements for progression within the programme, or corresponding.

Intended learning outcomes

It is important that you acquire general mathematical accuracy and a stable foundation for your continued studies. After the course is completed you should be able to:

  • read and comprehend mathematical texts.
  • perform standard calculations with accuracy.
  • handle calculations with algebraic expressions, inequalities and absolute values.
  • solve polynomial equations and equations containing square roots.
  • analyze how the concepts domain, range, injectivity and composition relate to particular functions.
  • define and draw the graphs of the elementary functions: the natural logarithm, exponential-, power-, trigonometric- and inverse trigonometric functions.
  • use and prove laws and formulas for the elementary functions.
  • work with complex numbers in cartesian and polar form.
  • define the complex exponential function and use and prove Euler's and deMoivre's formulas.
  • solve problems concerning straight lines and circles in the plane.
  • perform logical arguments
  • work with geometric and arithmetic sums.
  • check results and partial results in order to verify their correctness or reasonableness.

Course content

Algebraic expessions, inequalities, modulus, complex numbers. Solving equations. Functions and graphs. Definitions and properties of the elementary functions: natural logarithm, exponential function, power function, trigonometric functions and complex exponential function, arcus functions. The Euler formulas. Basic principles of logic. Different types of proof techniques. Coordinate systems in the plane. Polar coordinates. Lines and circles. The complex plane. Complex numbers in polar form. Inverse trigonometric functions.

Teaching and working methods

Problem classes, tutorials, and a few lectures.

Examination

TEN3Written summary examinationU, 3, 4, 54.5 credits
UPG1ExaminationU, G1.5 credits
TEN4Written partial examinationU, G1.5 credits
TEN5Written partial examinationU, G3 credits

 

The final grade requires fullfillment of either TEN4, TEN5 and UPG1 or TEN3 and UPG1. The final grade is given based on the results from TEN4 and TEN5 or the result from TEN3. Attempts to improve grades are only allowed in TEN3.

A "Pass" on TEN4 or TEN5 gives bonus points on TEN3. The bonus points could only be used to achieve the grade "3", not to achieve a higher grade. 

Grades

Four-grade scale, LiU, U, 3, 4, 5

Other information

About teaching and examination language

The teaching language is presented in the Overview tab for each course. The examination language relates to the teaching language as follows: 

  • If teaching language is Swedish, the course as a whole or in large parts, is taught in Swedish. Please note that although teaching language is Swedish, parts of the course could be given in English. Examination language is Swedish. 
  • If teaching language is Swedish/English, the course as a whole will be taught in English if students without prior knowledge of the Swedish language participate. Examination language is Swedish or English (depending on teaching language). 
  • If teaching language is English, the course as a whole is taught in English. Examination language is English. 

Other

The course is conducted in a manner where both men's and women's experience and knowledge are made visible and developed. 

The planning and implementation of a course should correspond to the course syllabus. The course evaluation should therefore be conducted with the course syllabus as a starting point.  

Department

Matematiska institutionen

Director of Studies or equivalent

Jesper Thorén

Examiner

Fredrik Andersson (I, Ii), Mikael Langer (M, DPU, EMM), Johan Thim (Y, Yi, MED, Mat, FyN, FRIST)

Course website and other links

Education components

Preliminary scheduled hours: 78 h
Recommended self-study hours: 82 h

Course literature

Books
G. Forsling, M. Neymark, Matematisk analys, en variabel Liber
Other

Books

G. Forsling, M. Neymark, Matematisk analys, en variabel Liber

Other

TEN3 Written summary examination U, 3, 4, 5 4.5 credits
UPG1 Examination U, G 1.5 credits
TEN4 Written partial examination U, G 1.5 credits
TEN5 Written partial examination U, G 3 credits

 

The final grade requires fullfillment of either TEN4, TEN5 and UPG1 or TEN3 and UPG1. The final grade is given based on the results from TEN4 and TEN5 or the result from TEN3. Attempts to improve grades are only allowed in TEN3.

A "Pass" on TEN4 or TEN5 gives bonus points on TEN3. The bonus points could only be used to achieve the grade "3", not to achieve a higher grade. 

Course syllabus

A syllabus must be established for each course. The syllabus specifies the aim and contents of the course, and the prior knowledge that a student must have in order to be able to benefit from the course.

Timetabling

Courses are timetabled after a decision has been made for this course concerning its assignment to a timetable module. 

Interrupting a course

The vice-chancellor’s decision concerning regulations for registration, deregistration and reporting results (Dnr LiU-2015-01241) states that interruptions in study are to be recorded in Ladok. Thus, all students who do not participate in a course for which they have registered must record the interruption, such that the registration on the course can be removed. Deregistration from a course is carried out using a web-based form: https://www.lith.liu.se/for-studenter/kurskomplettering?l=en. 

Cancelled courses

Courses with few participants (fewer than 10) may be cancelled or organised in a manner that differs from that stated in the course syllabus. The Dean is to deliberate and decide whether a course is to be cancelled or changed from the course syllabus. 

Guidelines relating to examinations and examiners 

For details, see Guidelines for education and examination for first-cycle and second-cycle education at Linköping University, http://styrdokument.liu.se/Regelsamling/VisaBeslut/917592.

An examiner must be employed as a teacher at LiU according to the LiU Regulations for Appointments (https://styrdokument.liu.se/Regelsamling/VisaBeslut/622784). For courses in second-cycle, the following teachers can be appointed as examiner: Professor (including Adjunct and Visiting Professor), Associate Professor (including Adjunct), Senior Lecturer (including Adjunct and Visiting Senior Lecturer), Research Fellow, or Postdoc. For courses in first-cycle, Assistant Lecturer (including Adjunct and Visiting Assistant Lecturer) can also be appointed as examiner in addition to those listed for second-cycle courses. In exceptional cases, a Part-time Lecturer can also be appointed as an examiner at both first- and second cycle, see Delegation of authority for the Board of Faculty of Science and Engineering.

Forms of examination

Examination

Written and oral examinations are held at least three times a year: once immediately after the end of the course, once in August, and once (usually) in one of the re-examination periods. Examinations held at other times are to follow a decision of the board of studies.

Principles for examination scheduling for courses that follow the study periods:

  • courses given in VT1 are examined for the first time in March, with re-examination in June and August
  • courses given in VT2 are examined for the first time in May, with re-examination in August and October
  • courses given in HT1 are examined for the first time in October, with re-examination in January and August
  • courses given in HT2 are examined for the first time in January, with re-examination in March and in August.

The examination schedule is based on the structure of timetable modules, but there may be deviations from this, mainly in the case of courses that are studied and examined for several programmes and in lower grades (i.e. 1 and 2). 

Examinations for courses that the board of studies has decided are to be held in alternate years are held three times during the school year in which the course is given according to the principles stated above.

Examinations for courses that are cancelled or rescheduled such that they are not given in one or several years are held three times during the year that immediately follows the course, with examination scheduling that corresponds to the scheduling that was in force before the course was cancelled or rescheduled.

When a course is given for the last time, the regular examination and two re-examinations will be offered. Thereafter, examinations are phased out by offering three examinations during the following academic year at the same times as the examinations in any substitute course. If there is no substitute course, three examinations will be offered during re-examination periods during the following academic year. Other examination times are decided by the board of studies. In all cases above, the examination is also offered one more time during the academic year after the following, unless the board of studies decides otherwise.

If a course is given during several periods of the year (for programmes, or on different occasions for different programmes) the board or boards of studies determine together the scheduling and frequency of re-examination occasions.

Registration for examination

In order to take an examination, a student must register in advance at the Student Portal during the registration period, which opens 30 days before the date of the examination and closes 10 days before it. Candidates are informed of the location of the examination by email, four days in advance. Students who have not registered for an examination run the risk of being refused admittance to the examination, if space is not available.

Symbols used in the examination registration system:

  ** denotes that the examination is being given for the penultimate time.

  * denotes that the examination is being given for the last time.

Code of conduct for students during examinations

Details are given in a decision in the university’s rule book: http://styrdokument.liu.se/Regelsamling/VisaBeslut/622682.

Retakes for higher grade

Students at the Institute of Technology at LiU have the right to retake written examinations and computer-based examinations in an attempt to achieve a higher grade. This is valid for all examination components with code “TEN” and "DAT". The same right may not be exercised for other examination components, unless otherwise specified in the course syllabus.

A retake is not possible on courses that are included in an issued degree diploma. 

Retakes of other forms of examination

Regulations concerning retakes of other forms of examination than written examinations and computer-based examinations are given in the LiU guidelines for examinations and examiners, http://styrdokument.liu.se/Regelsamling/VisaBeslut/917592.

Plagiarism

For examinations that involve the writing of reports, in cases in which it can be assumed that the student has had access to other sources (such as during project work, writing essays, etc.), the material submitted must be prepared in accordance with principles for acceptable practice when referring to sources (references or quotations for which the source is specified) when the text, images, ideas, data, etc. of other people are used. It is also to be made clear whether the author has reused his or her own text, images, ideas, data, etc. from previous examinations, such as degree projects, project reports, etc. (this is sometimes known as “self-plagiarism”).

A failure to specify such sources may be regarded as attempted deception during examination.

Attempts to cheat

In the event of a suspected attempt by a student to cheat during an examination, or when study performance is to be assessed as specified in Chapter 10 of the Higher Education Ordinance, the examiner is to report this to the disciplinary board of the university. Possible consequences for the student are suspension from study and a formal warning. More information is available at https://www.student.liu.se/studenttjanster/lagar-regler-rattigheter?l=en.

Grades

The grades that are preferably to be used are Fail (U), Pass (3), Pass not without distinction (4) and Pass with distinction (5). 

  1. Grades U, 3, 4, 5 are to be awarded for courses that have written examinations.
  2. Grades Fail (U) and Pass (G) may be awarded for courses with a large degree of practical components such as laboratory work, project work and group work.
  3. Grades Fail (U) and Pass (G) are to be used for degree projects and other independent work.

Examination components

  1. Grades U, 3, 4, 5 are to be awarded for written examinations (TEN).
  2. Examination components for which the grades Fail (U) and Pass (G) may be awarded are laboratory work (LAB), project work (PRA), preparatory written examination (KTR), oral examination (MUN), computer-based examination (DAT), home assignment (HEM), and assignment (UPG).
  3. Students receive grades either Fail (U) or Pass (G) for other examination components in which the examination criteria are satisfied principally through active attendance such as other examination (ANN), tutorial group (BAS) or examination item (MOM).
  4. Grades Fail (U) and Pass (G) are to be used for the examination components Opposition (OPPO) and Attendance at thesis presentation (AUSK) (i.e. part of the degree project).

For mandatory components, the following applies: If special circumstances prevail, and if it is possible with consideration of the nature of the compulsory component, the examiner may decide to replace the compulsory component with another equivalent component. (In accordance with the LiU Guidelines for education and examination for first-cycle and second-cycle education at Linköping University, http://styrdokument.liu.se/Regelsamling/VisaBeslut/917592). 

For written examinations, the following applies: If the LiU coordinator for students with disabilities has granted a student the right to an adapted examination for a written examination in an examination hall, the student has the right to it. If the coordinator has instead recommended for the student an adapted examination or alternative form of examination, the examiner may grant this if the examiner assesses that it is possible, based on consideration of the course objectives. (In accordance with the LiU Guidelines for education and examination for first-cycle and second-cycle education at Linköping University, http://styrdokument.liu.se/Regelsamling/VisaBeslut/917592).

The examination results for a student are reported at the relevant department.

Regulations (apply to LiU in its entirety)

The university is a government agency whose operations are regulated by legislation and ordinances, which include the Higher Education Act and the Higher Education Ordinance. In addition to legislation and ordinances, operations are subject to several policy documents. The Linköping University rule book collects currently valid decisions of a regulatory nature taken by the university board, the vice-chancellor and faculty/department boards.

LiU’s rule book for education at first-cycle and second-cycle levels is available at http://styrdokument.liu.se/Regelsamling/Innehall/Utbildning_pa_grund-_och_avancerad_niva. 

This tab contains public material from the course room in Lisam. The information published here is not legally binding, such material can be found under the other tabs on this page. There are no files available for this course.

Page responsible: Info Centre, infocenter@liu.se