TATA67 · 6 credits · Basic level (G1N) · Matematik, Tillämpad matematik
Linear Algebra with Geometry
Active · next start HT 2026
73%
passed the latest ordinary exam
TEN1 · 16 Jan 2026 · 267 students
74%
passed the ordinary exams, all sittings over the last 5 years
TEN1 · 1,286 students
55%
Harder than 55% of courses at basic level
Compared with 874 courses at the same level, ordinary exams over the last three academic years. 538 students.
Part of 3 programmes
Exam
TEN1 Written examination
- 5
- 4
- 3
- U
Ordinary exams
74% passed · 1,286 students
- 73%267
- 79%271
- 78%273
- 71%228
- 68%247
Re-exams
55% passed · 539 students
- 53%32
- 66%64
- 48%33
- 57%51
- 76%42
- 67%60
- 61%66
- 28%78
- 24%34
- 63%79
- Pass the re-exam: 55% (539 students), compared with 74% (1,286 students) on the ordinary exam
- Get 4 or 5: 40% (1,825 students)
Show small sittings (2)
Sittings with fewer than 5 students, often credit transfers or special sittings. They are not part of any figure on this page.
- 100%3
- 100%1
Other modules
Partial exams, hand-ins and labs. They are not part of the figures at the top.
Other module
KTR1 Optional written test
- G
- U
Main rounds
64% passed · 1,018 students
- 84%226
- 77%236
- 64%191
- 37%166
- 48%199
Later rounds
100% passed · 95 students
- 100%9
- 100%7
- 100%28
- 100%5
- 100%11
- 100%35
- Pass a later round: 100% (95 students), compared with 64% (1,018 students) on the ordinary exam
About the course
Aim
That you should be able to provide yourself with the basic knowledge in linear algebra which needed in other courses within the program. After completing the course, you should be able to:
- work with concepts and solve tasks in the areas described in Part A of the course content.
- perform calculations and report solutions to tasks within Part B of the course.
Content
Part A Vectors, geometry, matrices and maps:
Vector algebra, scalar product, vector product, projections, lines, planes, distance, quadratic curves, quadratic surfaces, The space R^n, matrix algebra, mapping matrices, geometric mappings, base images, composite maps, inverse maps, isometric maps
Part B Systems of linear equations, determinants, bases, base changes, eigenvalues and eigenvectors with applications:
Gaussian elimination, least square method, calculation of determinants, area and volume change, existence and uniqueness of solutions to quadratics system of equations, bases and coordinates, linear independence, basis exchange matrix, basis changes for linear mappings, determination of eigenvalues and eigenvectors, the spectral theorem, eigenvalues and eigenvectors to geometric mappings, diagonalization, recursive sequences, matrix powers, quadratics forms, systems of differential equations
- Examiner
- Danyo Danev
- Scheduled hours
- 90 h
- Main field of study
- Matematik, Tillämpad matematik