Welcome to MATA21 Analysis in One Variable, 15 credits

The course is given in English in Autumn and in Swedish in Spring.
Information in Swedish can be found down below.

 General Information

MATA21 Analysis in One Variable is a compulsory course for a Bachelor of Science degree in mathematics and physics and is given course parallel to the courses MATA22 Linear Algebra 1 and NUMA01 Computational Programming in Python during the first semester of studies in mathematics.

The course gives a thorough introduction to differential and integral calculus of real functions of one variable with emphasis on theoretical aspects. It covers the real numbers, limits of number sequences and functions, continuity, derivatives, primitive functions, definite integrals, differential equations, Taylor expansions, series and improper integrals.

Teaching
The teaching consists of lectures, seminars, exercise classes and mentoring hours.

Assessment
The examination consists of the following parts:
  • assessed coursework, 2 credits
  • written examinations (mid-term and final), 13 credits
  • oral examination, compulsory in order to obtain the grade Pass with distinction
The grades for the course are Pass with distinction, Pass and Fail. For obtaining the Pass grade, it is required to pass the assessed coursework and the final written examination. For obtaining the grade of Pass with distinction, it is required in addition to pass the oral exam. This is only offered to students who passed the written examination with a sufficiently high score.

Course Literature
  • Jan-Fredrik Olsen, Lecture Notes in One Variable Analysis for Scientists, 2016, provided by the department.
  • Robert A. Adams, Christopher Essex, Calculus, A Complete Course, 8th edition, 2013, ISBN: 9780321781079. (complementary reading)

Schedule
The schedule is available in the TimeEdit schedule tool. For instructions on how to use TimeEdit click here.

 Allmän information

MATA21 Envariabelanalys är en obligatorisk kurs för en naturvetenskaplig kandidatexamen i matematik och fysik och den ges parallellt med MATA22 Lineär algebra 1, 7,5 hp och med  NUMA01 Beräkningsprogrammering med Python, 7,5 hp under den förta terminens studier i matematik.

Kursen ger en introduktion till differential och integralkalkyl med vikt på teoretisk förståelse.
Den omfattar de reella talen, gränsvärden av talföljder och av funktioner, kontinuitet, derivator, primitiva funktioner, bestämda integraler, differentialekvationer, Taylorutveckling, serier och generaliserade integraler.

Undervisning
Undervisningen består av föreläsningar, lektioner, räkneövningar och SI-möten.

Examination
Examinationen består av följande moment:
  • projektarbete/inlämningsuppgifter, 2 hp
  • skriftlig tentamen (mittermins- och sluttentamen) (13 hp)
  • muntlig tentamen, endast obligatorisk för att erhålla betyget Väl godkänt
Kurslitteratur
  • Jan-Fredrik Olsen, Lecture Notes in One Variable Analysis for Scientists, 2016, tillhandahålls av institutionen.
  • Robert A. Adams, Christopher Essex, Calculus, A Complete Course, 8th edition, 2013, ISBN: 9780321781079. (bredvidläsning)
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