Math II: Linear Algebra Overview

Course Information

• Course name: Math II: Linear Algebra
• Course code: EBP042A05
• Prerequisites: Math I: Calculus recommended, some high school math, logic and common sense

Team Information

• Lecturer: Zsombor Méder ([email protected])
• Tutors: Mirte Barneveld, Ryan Dinwoodie, Senne Hollard, Martijn de Werd (Tutor group assignments provided in document)

Weekly Schedule

• Course duration: 7 weeks
• Week starts on Wednesday and ends following Tuesday.
• Weekly lectures and tutorials are scheduled, with homework deadlines.
• Homework deadlines are listed by week (23:59 on Tuesdays)
• Final exam: Tuesday, December 10, 2024, 14:00-16:00, M6 Blauwborgje 4. Resit: Wednesday, January 15, 2025, 11:45 - 13:45, W4 - Y23 Blauwborgje 4.

Tutorials

• Tutorial times and locations are given per tutor group, on Fridays and Tuesdays, respectively. Times and locations are specified by week.

Assignments

• Homework assignments (2 per week) will be available on Brightspace each Wednesday evening. Submission deadline is Tuesday 23:59.
• Submission using LaTeX format or handwritten submission allowed.
• Assignments graded on a 3-point scale (0, 1, 2).
• Maximum homework score is 24 points (based on 6 weeks)

In-tutorial activity grade

• Students will be presented with problems during tutorials.
• Students aim to solve the given problems in the first hour of the tutorial.
• Tutors will then provide solutions and explanations for difficult problems.
• Students' effort in problem solving, as well as level of progress, in the tutorial will be assessed.
• Points awarded from 0 to 1 for each tutorial.
• Top 11 best tutorials count for in-tutorial activity grade.

SOWISO Criterion

• Weekly tests on the SOWISO platform.
• One test per week, from week 1 to week 7.
• The relevant SOWISO links are available on Mondays from 8:00 to Fridays 17:00.
• 30 minutes to complete each test.
• 100% score required to complete a test.
• Retakes are possible per test.
• 5 out of 7 SOWISO tests required to receive points for the assignment grade.

Learning Resources

• Lecture slides on Brightspace - updated regularly
• Listed textbooks (Blume, L., & Simon, C.P.; Axlzer, S.; Andreescu, T., & Andrica, D)

Evaluation

• Final grade calculation: 75% Maximum (Exam or Resit grade) + 25% Assignment Grade
• Assignment grade further broken down into 15% Homework, + 10% In-tutorial Activity Grade
• Minimum final grade of 5.5 required to pass
• Exam/Resit score of below 5.0, counts 100% toward final grade with no possibility of passing

Historical Background (Set Theory, Cardinality)

• Gottlob Frege attempted to reduce mathematics to logic.
• Frege published "Basic Laws of Arithmetic", 1893/1903.
• Russell's Paradox challenged Frege's system.

Set Theory

• The Empty Set, proper subset relation (A ⊆ B), Union, Intersection (A∪B, A∩B), Difference of Sets, Complement (A\B, Aᶜ), Cartesian product (A×B), Power set (2^A or P(A))

Cardinality

• Equal Cardinality - A and B have equal cardinality (card(A) = card(B)) if there exists a bijective function f : A → B
• Finite Cardinality - The empty set (Ø) has cardinality 0
• Countably infinite cardinality - A set has countable infinite cardinality if it has equal cardinality with the naturally number set (N)
• Countable - A set is countable if it is finite or countably infinite.

This quiz covers key aspects of the Math II: Linear Algebra course, including prerequisites, weekly schedule, and important deadlines. Test your understanding of the course structure and important dates to ensure you are prepared for the lectures and assignments.