Linear Algebra 1 for the Bachelor in Computer Science (BICS) programme
This course was taught in the winter semester 2017/2018 by Alexander D. Rahm.
Assessment: Mid-term / written 30%, final exam / written 50%, assignments 20%.
Objective: First of two linear algebra courses. Introduces basic techniques for solving linear equations as well as basic notions of linear algebra (linear maps, kernel, image, determinant, etc) and basic related notions of geometry in 2 and 3 dimensions.
Contents:
1.1. Matrices
1.1.1. Matrices
1.1.2. Matrices and linear systems
1.1.3. Matrix multiplication
1.2. Vector spaces
1.2.1. Definitions
1.2.2. Examples of vector spaces
1.2.3. Basis
1.3. Linear maps
1.3.1. Definitions
1.3.2. Kernel, image. Relation between dimensions.
1.3.3. Matrix of a linear map
1.4. Determinants
1.4.1. Determinant of 2x2 and 3x3 matrices
1.4.2. Determinants and injectivity
1.4.3. Determinant and solutions of linear systems
1.5. Geometry in the Euclidean plane and space
1.5.1. Geometry in the plane
1.5.2. Geometry in space
One of the homeworks was individualized, in order to allow grading without encouraging plagiarism:
Version 1
Version 2
Version 3
Version 4
Version 5
Version 6
Version 7
Version 8
Version 9
Version 10
Version 11
Version 12
Version 13
Version 14
Version 15
Version 16
Version 17
Version 18
Version 19
Version 20
Version 21
Version 22
Version 23
Version 24
Version 25
Version 26
You can download all of the above versions in a
tar.gz archive
or in a
zip archive.
If you are teaching a Linear Algebra 1 course, then you can contact me in order to get a sheet containing master solutions for all versions.
Also, it is possible to generate more versions if you need them. And of course, I can provide you the TeX source / the code which generates it,
so you can insert your own lecturer and tutor names, affiliations and addresses.
I also have a set of twelve non-individualized homework sheets for this course which I can send you upon request.
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