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) + 2.5*P1 + 5*P2

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