Welcome to Erik Darpö's teaching page.
Basic Mathematics, spring term 2022:
All course material is posted on the course home page on NUCT.
Course information sheet
First year seminar in Mathematics, autumn term 2021:
All course material is posted on the course home page on NUCT.
Course information sheet
Basic Mathematics, spring term 2021:
All course material is posted on the course home page on NUCT.
Course information sheet
Final exam, 26th July 2021, with solutions.
Topics in Mathematical science VI: Modules and homological algebra, autumn term 2020:
All course material is posted on the course home page on NUCT.
Course information sheet
Complex Analysis, autumn term 2020:
All course material is posted on the course home page on NUCT.
Course information sheet
Final exam, 8th February 2020, with solutions.
First year seminar in Mathematics, autumn term 2020:
All course material is posted on the course home page on NUCT.
Course information sheet
Basic Mathematics, spring term 2020:
The entire course, with the exception of the final examination, will be conducted online.
All course material is posted on the course home page on NUCT.
Course information sheet
Final exam, 3rd August 2020, with solutions.
Course material for the course Modules and Homological algebra, autumn term 2019:
Course information
Homework assignment 1, due the 31st October
Homework assignment 2, due the 28th November
Homework assignment 3, due the 9th January.
Solution to the second problem.
Homework assignment 4, due the 30th January.
Course material for the course First year seminar in Mathematics, autumn term 2019:
Course information
Topics for oral presentations
Course material for the course Complex Analysis, autumn term 2019:
Course information
List of recommended problems from the textbook (updated continuously).
Midterm exam, 28th November 2019, with solutions
Final exam, 3rd February 2020, with solutions
Course material for the course Basic Mathematics, spring term 2019:
Course information
Link to the online homework
Midterm exam 10th June 2019, with
solutions
Final exam 29th July 2019, with
solutions
Lecture notes on derivatives
The material that is relevant for this course is contained in the notes for lectures 1, 3, 4 and 6 at the link above. The parts about derivatives of trigonometric functions (lecture 2), logarithmic differentiation and hyperbolic functions (lecture 6) will not be covered.
Practice problems on derivatives, with answers.
Old exams
Final exam, spring term 2016, with solutions.
Final exam, spring term 2015.
Final exam, spring term 2014.
Midterm exam, spring term 2016, with solutions.
Midterm exam, spring term 2015, with solutions.
Midterm exam, spring term 2014.
Course material for the course Linear Algebra II, spring term 2019:
Course information
Video recordings of the lectures:
23rd April,
7th May,
14th May,
21st May,
28th May,
11th June,
18th June,
25th June,
2nd July,
9th July,
16th July,
23th July
The NU-EMI web page
Midterm exam 4th June 2019, with
solutions.
Final exam 30th July 2019, with
solutions.
Homework assignment 1, due the 25th April, with solutions
Homework assignment 2, due the 9th May, with solutions
Homework assignment 3, due the 23rd May, with solutions
Homework assignment 4, due the 30th May, with solutions
Homework assignment 5, due the 20th June, with solutions
Homework assignment 6, due the 4th July, with solutions
Homework assignment 7, due the 18th July, with solutions
Homework assignment 8, due the 23rd July, with solutions
Solution to Quiz 1
Solution to Quiz 2
Solution to Quiz 3
Solution to Quiz 4
Solution to Quiz 5
Practice problems for tutorial 4 (9th May)
Practice problems for tutorial 9 (20th June)
Practice problems for tutorial 11 (4th July)
Practice problems for the midterm exam
Course material for the course Linear Algebra I, autumn term 2018:
Course information
A collection of problems on the content of Lecture 1-7.
Midterm exam, 26th November 2018, with solutions.
Final exam, 4th February 2019, with solutions.
The repeat exam in Linear Algebra I takes place on the 1st March.
Eligible students may register for the exam at the ILAS office, no later than 5 pm on the 22nd February.
Practice problems for the repeat exam.
Homework assignment 1, due the 16th October, with solutions
Homework assignment 2, due the 20th November, with solutions
Homework assignment 3, due the 18th December, with solutions
Homework assignment 4, due the 8th January, with solutions
Homework assignment 5, due the 29th January, with solutions
Course material for the course Modular representation theory of finite groups, autumn term 2018:
Course information
Homework assignment 1
Homework assignment 2
Homework assignment 3
Homework assignment 4
Course material for the course Linear Algebra II, spring term 2018:
Course information
Course material from the spring term 2016
Lecture notes in Linear Algebra by S. Richard.
Midterm exam, 12th June 2018, with solutions.
Final exam, 7th August 2018, with solutions.
The Jordan normal form theorem; a text proving the theorem through a set of exercises.
(Recommended summer reading for those interested in gaining a deeper understanding of linear algebra.)
Homework assignment 1,
due the 26th April,
with solutions.
Homework assignment 2,
due the 31st May,
with solutions.
Homework assignment 3,
due the 5th July,
with solutions.
Homework assignment 4,
due the 26th July,
with solutions.
Course material for the course Linear Algebra I, autumn term 2017:
Course information sheet
Midterm exam, 27th November 2017, with solutions.
Final exam, 5th February 2018, with solutions.
Homework assignment 1, with solutions.
Homework assignment 2, with solutions.
Homework assignment 3, with solutions.
Homework assignment 4, with solutions.
Course material for the course Modules and cohomology of finite group algebras, autumn term 2017:
Course information sheet
Homework assignment 1
Homework assignment 2
Homework assignment 3
Homework assignment 4
Course material for the course Linear Algebra II, spring term 2017:
Course information
Midterm exam (30th May), with solutions.
Final exam (25th July), with solutions.
Homework assignment 1, with solutions.
Homework assignment 2, with
solutions.
Homework assignment 3, with solutions.
Homework assignment 4, with solutions.
Course material for the course Linear Algebra I, autumn term 2016:
Course information sheet
Homework assignment 1, with
solutions.
Homework assignment 2, with
solutions.
Homework assignment 3, with
solutions.
Homework assignment 4, with
solutions.
Final exam 30th January 2017, with
solutions.
Midterm exam 21st November 2016, with
solutions.
Course material for the course Modular representation theory of finite groups, autumn term 2016:
Course information sheet
Homework assignment 1
Homework assignment 2
Homework assignment 3
Homework assignment 4
Course material for the course Basic Mathematics, spring term 2016:
Course information sheet
Lecture notes on derivatives
The material that is relevant for this course is contained in the notes for lectures 1, 3, 4 and 6 at the link above. The parts about derivatives of trigonometric functions (lecture 2), logarithmic differentiation and hyperbolic functions (lecture 6) will not be covered.
Link to the homework web page.
Final exam, spring term 2016, with solutions.
Final exam, spring term 2015.
Final exam, spring term 2014.
Midterm exam, spring term 2016, with solutions.
Midterm exam, spring term 2015, with solutions.
Midterm exam, spring term 2014.