MATH 21 – Linear Algebra
Semester : Winter 2020
Day & Times : MWF 12:00 PM – 1:05 PM Room : Earth & Marine B206
Instructor : Akaturk Office hours : MW 1:30 PM – 3:00 PM Office : Mc , Mc Room # 4192
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Exams & Grading : Midterm(30%), Final Exam (50%), Homework (10%)
Quizzes (10%)
Textbook : Elementary Linear Algebra, an eText (Fourth Edition),
http://www.lulu.com/shop/bruce-cooperstein/elementary-linear-algebra/ebook/product-23019023.html All the announcements will be made via Canvas.
Tentative Syllabus:
1. Linear equations and their solution, matrices and echelon forms
2. Vectors and the space Rn, the span of a sequence of vectors, linear independence in Rn,
subspaces and bases of Rn, dimension
3. The dot product in Rn
4. Linear transformations and matrix multiplication
5. The Product of a matrix and a vector, matrix addition and multiplication
6. Invertible matrices, elementary matrices
7. Determinants
8. Abstract vector spaces, span and independence in vector spaces
9. Dimension of a finite generated vector space
10. Coordinate vectors and change of basis
11. Rank and nullity of a matrix
12. Linear transformations of abstract vector spaces, kernel/range/matrix of a linear trans- formation
13. Eigenvalues and eigenvectors
14. Diagonalization, more onorthogonality, distance-preserving linear transformations
Academic integrity: Academic integrity is taken seriously, and violations will be dealt with swiftly according to UCSC policy, described at https://ue.ucsc.edu/academic-misconduct.html. Violations on homeworks will be penalized by a score of zero on the relevant homework. Re- peated violations, or violations on the midterm or final may lead to more serious disciplinary consequences through the UCSC procedures.
DRC: UC Santa Cruz is committed to creating an academic environment that supports its diverse student body. If you are a student with a disability who requires accommodations to achieve equal access in this course, please submit your Accommodation Authorization Letter from the Disability Resource Center (DRC) to me privately during my office hours or by appointment, preferably within the first two weeks of the quarter. At this time, I would also like us to discuss ways we can ensure your full participation in the course. I encourage all students who may benefit from learning more about DRC services to contact DRC by phone at 831-459-2089 or by email at
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