Course plan and materials
Course plan with the corresponding readings and recommended exercises (updated 8 May): SF_1610_Spring_2023_Course_Plan.pdf Download SF_1610_Spring_2023_Course_Plan.pdf
The schedule can be found here Links to an external site..
Lectures
Each lecture has corresponding readings. It is recommended that you skim this material before the lecture, then read through it more carefully after the lecture.
Exercises
In the course plan, you will find recommended exercises for each lecture. Try to solve as many of these as possible. The exercise sessions largely consist of individual or group work, with the opportunity to ask questions of the teaching assistant. Notes on the exercise sessions will be continually posted here:
- ExerciseSession4.pdf Download ExerciseSession4.pdf
- ExerciseSession5.pdf Download ExerciseSession5.pdf
- ExerciseSession6.pdf Download ExerciseSession6.pdf
- ExerciseSession7.pdf Download ExerciseSession7.pdf
- ExerciseSession8.pdf Download ExerciseSession8.pdf
- ExerciseSession9.pdf Download ExerciseSession9.pdf
- ExerciseSession10.pdf Download ExerciseSession10.pdf
- ExerciseSession11.pdf Download ExerciseSession11.pdf
- ExerciseSession12.pdf Download ExerciseSession12.pdf
You can find more practice exercises in old exams, for example, here Links to an external site. (in Swedish).
Seminars
Information about the seminars, including discussion problems and solutions, can be found here.
Review exercises
Review exercises for the topics we have covered in class will be continually posted here:
Note: Not all solutions are included. If, after attempting one of these exercises, you are stumped and desire a solution, please feel free to email the lecturer or the TA.
- Sets.pdf Download Sets.pdf
- Bijections_and_countable_sets.pdf Download Bijections_and_countable_sets.pdf
- Divisibility.pdf Download Divisibility.pdf
- Euclidean_algorithm.pdf Download Euclidean_algorithm.pdf
- Linear_Diophantine_equations.pdf Download Linear_Diophantine_equations.pdf
- Modular_equations.pdf Download Modular_equations.pdf
- Induction.pdf Download Induction.pdf
- Probability.pdf Download Probability.pdf
- Conditional_probability.pdf Download Conditional_probability.pdf
- Combinatorics.pdf Download Combinatorics.pdf
- Stirling_numbers.pdf Download Stirling_numbers.pdf
- Inclusion_exclusion_principle.pdf Download Inclusion_exclusion_principle.pdf
- Logic.pdf Download Logic.pdf
- Boolean_algebra.pdf Download Boolean_algebra.pdf
- Relations_and_functions.pdf Download Relations_and_functions.pdf
- Permutations.pdf Download Permutations.pdf
- Group_theory.pdf Download Group_theory.pdf
- RSA_Cryptography.pdf Download RSA_Cryptography.pdf
- Codes.pdf Download Codes.pdf
- Graph_theory.pdf Download Graph_theory.pdf
Further materials
Here are some notes from past iterations of this course, some in Swedish and some in English. Please note that these notes may not align precisely with the content of this year's course, so they should be treated as supplementary study materials rather than a replacement for attending lectures.
Spring 2021 lecture notes (English):
- Lecture 1.pdf Download Lecture 1.pdf
- Lecture 2.pdf Download Lecture 2.pdf
- Lecture 3.pdf Download Lecture 3.pdf
- Lecture 4.pdf Download Lecture 4.pdf
- Lecture 5.pdf Download Lecture 5.pdf
- Lecture 6.pdf Download Lecture 6.pdf
- Lecture 7.pdf Download Lecture 7.pdf
- Lecture 8.pdf Download Lecture 8.pdf
- Lecture 9.pdf Download Lecture 9.pdf
- Lecture 10.pdf Download Lecture 10.pdf
- Lecture 11.pdf Download Lecture 11.pdf
- Lecture 12.pdf Download Lecture 12.pdf
- Lecture 13.pdf Download Lecture 13.pdf
- Lecture 14.pdf Download Lecture 14.pdf
- Lecture 15.pdf Download Lecture 15.pdf
- Lecture 16.pdf Download Lecture 16.pdf
- Lecture 17.pdf Download Lecture 17.pdf
- Lecture 18.pdf Download Lecture 18.pdf
- Lecture 19.pdf Download Lecture 19.pdf
- Lecture 20.pdf Download Lecture 20.pdf
Past course notes (Swedish)
- BETINGAD_SANNOLIKHET.pdf Download BETINGAD_SANNOLIKHET.pdf
- BIJEKTIV_NUMRERBAR.pdf Download BIJEKTIV_NUMRERBAR.pdf
- BOOLESK_ALGEBRA.pdf Download BOOLESK_ALGEBRA.pdf
- DELBARHET.pdf Download DELBARHET.pdf
- DIOFANT.pdf Download DIOFANT.pdf
- EKVATIONER_Zm.pdf Download EKVATIONER_Zm.pdf
- EUKLIDES_LIN_KOMB.pdf Download EUKLIDES_LIN_KOMB.pdf
- EUKLIDES.pdf Download EUKLIDES.pdf
- FERMATS_LILLA_SATS_OCH_RSA_KRYPTERING.pdf Download FERMATS_LILLA_SATS_OCH_RSA_KRYPTERING.pdf
- INDUKTION.pdf Download INDUKTION.pdf
- INKLUSION_EXKLUSION.pdf Download INKLUSION_EXKLUSION.pdf
- KOMBINATORIK.pdf Download KOMBINATORIK.pdf
- LOGIK.pdf Download LOGIK.pdf
- MANGD.pdf Download MANGD.pdf
- RELATIONER_FUNKTIONER.pdf Download RELATIONER_FUNKTIONER.pdf
- SANNOLIKHETER.pdf Download SANNOLIKHETER.pdf
- STIRLING.pdf Download STIRLING.pdf