Analytical geometry

Fundamentals of analytical geometry

It is read in the 1-st semester.

2 hours of lectures per week, seminars

• Golubcov Peter Viktorovich
• Kolybasova Valentina Viktorovna
• Ovchinnikov Alexey Vitalevich

1. Matrixes, determinants, systems of linear equations

2. Coordinates, vectors, vector algebra

3. Lines and surfaces of the 1st and the 2nd order

4. Finite-dimensional linear spaces

1 thread

• The planned schedule of lectures on analytical geometry 1 stream (2010-2011)
• Analytic geometry. Questions about the theory. 1 course, 1 stream 2012-13
• Example examination card
  

2 thread

• Exam questions (2013.01.16)

Remark. Students of the second stream instead of the theorem on the basis minor tell Gauss method.

• Tasks for tests and examinations (2013.01.16)

Ovchinnikov A.V. lectures

• Lecture 1
• Lecture 2
• Lecture 3
• Lecture 4
• Lecture 5
• Lecture 6
• Lecture 7
• Lecture 8
• Lecture 9

Control works

• Control works

3 thread

• Exam questions (2013.01.16)
• ЗTasks for tests and examinations (2013.01.16)

Lectures of Badin A.V.

• The plan of lectures (2012.09.13)
• Lecture 01 (Logical-mathematical symbols; 2012.09.13)
• Lecture 02 (The vectors in the spaces E¹, E², E³; 2012.10.24)
• Lecture 03 (Matrix algebra. determinants of orders 1, 2, 3; 2012.10.24)
• Lecture 04 (The scalar, mixed, vector products; 2012.10.31)
• Lecture 05 (Lines in space E². Lines and planes in space E³; 2012.11.16)
• Lecture 07 (The linear space; 2012.11.09)
• Lecture 08 (Basis for the liniar space; 2012.11.23)
• Lecture 09 (The determinant of the matrix; 2012.11.23)
• Lecture 10 (The dimension of the linear space. Rank; 2012.11.30)
• Lecture 11 (Linear operators. Isomorphisms of linear spaces; 2012.12.13)
• Lecture 12 (The system of linear algebraic equations; 2012.12.14)
• Lecture 13 (The curves of the second order; 2013.01.14)