9GMA04 · 6 credits · Basic level (GXX) · Matematik
Mathematics, Calculus in One Variable 2
Active · next start VT 2027
29%
passed the latest regular sitting
STN1 · 27 Aug 2026 · 7 students
38%
passed the regular sittings, all sittings over the last 5 years
STN1 · 131 students
Unusually hard in 2025/26
17% passed the ordinary exam in 2025/26 (24 students), against 45% on average in earlier years (100 students).
Other module
STN1 Written exam
- VG
- G
- U
Main rounds
38% passed · 131 students
- 29%7
- 21%19
- 0%5
- 44%16
- 17%12
- 45%22
- 40%5
- 59%17
- 22%9
- 58%19
Later rounds
30% passed · 69 students
- 20%10
- 29%7
- 100%6
- 36%14
- 29%7
- 10%10
- 43%7
- 0%8
- Pass a later round: 30% (69 students), compared with 38% (131 students) on the ordinary exam
- Get VG: 3% (200 students)
Show small sittings (3)
Sittings with fewer than 5 students, often credit transfers or special sittings. They are not part of any figure on this page.
- 0%4
- 100%1
- 67%3
Other modules
Partial exams, hand-ins and labs. They are not part of the figures at the top.
Other module
KTR1 Optional digital test
- G
- U
Main rounds
71% passed · 35 students
- 78%18
- 65%17
Later rounds
No sittings with at least 5 students.
Show small sittings (1)
Sittings with fewer than 5 students, often credit transfers or special sittings. They are not part of any figure on this page.
- 100%1
Other module
KTR2 Optional digital test
- G
- U
Main rounds
93% passed · 30 students
- 94%16
- 93%14
Later rounds
No sittings with at least 5 students.
Show small sittings (1)
Sittings with fewer than 5 students, often credit transfers or special sittings. They are not part of any figure on this page.
- 100%1
Other module
KTR3 Optional digital test
- G
- U
Main rounds
80% passed · 30 students
- 75%16
- 86%14
Later rounds
No sittings with at least 5 students.
Show small sittings (1)
Sittings with fewer than 5 students, often credit transfers or special sittings. They are not part of any figure on this page.
- 100%1
Other module
KTR4 Optional digital test
- G
- U
Main rounds
93% passed · 28 students
- 93%15
- 92%13
Later rounds
No sittings with at least 5 students.
Show small sittings (2)
Sittings with fewer than 5 students, often credit transfers or special sittings. They are not part of any figure on this page.
- 100%1
- 100%1
Who takes the course?
- Secondary School Teacher Programme with a specialization in Teaching in Grades 7-9 of the Compulsory School
- Secondary School Teacher Programme with a specialization in Teaching in Grades 7-9 of the Compulsory School
- Secondary School Teacher Programme with a specialization in Teaching in Grades 7-9 of the Compulsory School
- Secondary School Teacher Programme with a specialization in Teaching in Grades 7-9 of the Compulsory School
- Secondary School Teacher Programme with a specialization in Teaching in Grades 7-9 of the Compulsory School
- Secondary School Teacher Programme with a specialization in Teaching in Grades 7-9 of the Compulsory School
- Secondary School Teacher Programme with a specialization in Teaching in Grades 7-9 of the Compulsory School
- Secondary School Teacher Programme with a specialization in Teaching in Grades 7-9 of the Compulsory School
- Secondary School Teacher Programme with a specialization in Teaching in Grades 7-9 of the Compulsory School
- Secondary School Teacher Programme with a specialization in Teaching in the Upper-Secondary School
- Secondary School Teacher Programme with a specialization in Teaching in the Upper-Secondary School
- Secondary School Teacher Programme with a specialization in Teaching in the Upper-Secondary School
- Secondary School Teacher Programme with a specialization in Teaching in the Upper-Secondary School
- Secondary School Teacher Programme with a specialization in Teaching in the Upper-Secondary School
- Secondary School Teacher Programme with a specialization in Teaching in the Upper-Secondary School
- Secondary School Teacher Programme with a specialization in Teaching in the Upper-Secondary School
About the course
Aim
Efter avslutad kurs skall den studerande kunna
- välja och tillämpa metoder på problem i kursen, så som den beskrivs i kursinnehållet
- redovisa och motivera lösningar av uppgifter inom kursinnehållet med hjälp av relevanta begrepp och tydliga resonemang
Content
Maclaurin- och TaylorutvecklingTaylors formel. Utveckling av elementära funktioner. Standardutvecklingar. Olika former på resttermen:ordo och Lagrange. Tillämpningar bland annat på beräkning av gränsvärden, undersökning av lokala extremvärden och feluppskattning vid approximationer.
Ordinära differentialekvationer och integralekvationerFörsta ordningens linjära och separabla ekvationer. Integralekvationer. Linjära ekvationer av högre ordning med konstanta koefficienter.
Generaliserade integraler (G), numeriska serier (N) och potensserier (P)G+N: Konvergensundersökningar och elementära uppskattningar. Absolutkonvergens.N: Beräkning av vissa serier. Leibniz kriterium.P: Konvergensradie och -intervall. Maclaurinserier. Beräkning av vissa potensserier. Differentialekvationer.
IntegraltillämpningarArea av plana ytor. Kurvlängd. Volym av rotationskroppar. Area av rotationsytor.
- Examiner
- Ulf Janfalk
- Main field of study
- Matematik