Lecturers and Teaching Assistants
Dr. Crystal Hoyt
Course Schedule and Location
Second Semester
Monday, 11:00 - 13:00, Jacob Ziskind Building, Rm 155
16/03/2026
Field of Study, Course Type and Credit Points
Mathematics and Computer Science: Lecture; Elective; Regular; 2.00 points
Prerequisites
- Basic Topics 1, or its equivalent
Attendance and participation
Evaluation Type
No final exam or assignment
Estimated Weekly Independent Workload (in hours)
Syllabus
Topics will be selected from the following list
- Inequalities and equalities for determinants
- The Binet-Cauchy formula
- Stochastic and doubly stochastic matrices
- Eigenvalues of Hermitian matrices
- Courant-Fischer theorem
- Inequalities and equalities for singular values
- Inertia theorems
- Norms based on singular values
- Matrix equations
- Minimal norm completion problems.
- Maximal entropy completion problems.
- Numerical range
- Conjugate gradients
- Matrix inequalities
- An eigenvalue assignment problem
- Elements of complex function theory and contour integration
- Eigenvalues under perturbation
- Gaussian quadrature
- Dual extremal problems
Learning Outcomes
Upon completion of this course, students will be able to
Demonstrate additional familiarity and facility with the tools, concepts, and applications of linear algebra they acquired in Basic Topics I.
Reading List
Lectures will be adapted from selected parts of the text: Linear Algebra in Action, Third Edition. Copies can be downloaded from the math library.