Mate1009: Algebra (Spring 2020)

Instructor: Mārtiņš Kālis
E-mail: martins@kalis.lv
Lectures: Wednesdays, 12.30–14.10, room 426 (auditorium 20)
Office hour: Tuesdays, 9.00-10.00, room 434

Lecture 3 (19 Feb 2020). Homogeneus systems of equations. Arithmetic modulo p. Field axioms.
Jupyter notebook from the lecture.
– Practice problems: 6, 7, 8, 9, 11 (Chapater 1)
– Optional: 14, 15, 16
Additional resources:
Modular arithmetic on Khan Academy
– There will be a 30 minute quiz on Chapter 1 (except Field axioms) during the next lecture.

Lecture 2 (12 Feb 2020). Gauss-Jordan method.
Jupyter notebook from the lecture.
– Practice problems: 3, 4, 5 (Chapater 1)
Additional resources:
Elimination with matrices, MIT 18.06, Lecture 2
– “Linear algebra and its applications”, Gilbert Strang, section 1.3., available in the library.

Lecture 1 (5 Feb 2020). Introduction, (reduced-)row-echelon form, elementary row operations. Chapter 1 in course materials.
– Practice problems: 1, 2 (Chpater 1)
Additional resources:
Column / row picture (will not be covered in depth), MIT 18.06, Lecture 1
Elimination with matrices, MIT 18.06, Lecture 2
– “Linear algebra and its applications”, Gilbert Strang, section 1.3., available in the library.

Exams: There will be 4 quizes (M1a, M1b, M2a, M2b – out of 5), 1 midterm exam (P1 – out of 10), and 1 final exam (P2 – out of 10).
Attendance bonus: For each fully attended class, 1/4 bonus point will be received. (Maximum: 161/4 = 4 points)
Your grade (out of 100) = bonus + 1.25(M1a+M1b+M2a+M2b) + 2.5P1 + 5P2
To pass the course, you must get at least 4 points in each — the midterm and the final exam.

Course materials by Abuzer Yakaryilmaz

Course materials: download 
Exam questions in 2019: download 
Exam questions in 2016: download