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Syllabus ( MATH 114 )


   Basic information
Course title: Linear Algebra II
Course code: MATH 114
Lecturer: Assoc. Prof. Dr. Nursel EREY
ECTS credits: 6
GTU credits: 4 (3+2+0)
Year, Semester: 1, Spring
Level of course: First Cycle (Undergraduate)
Type of course: Compulsory
Language of instruction: English
Mode of delivery: Face to face
Pre- and co-requisites: none
Professional practice: No
Purpose of the course: Give information on linear equations and simple proof techniques.
   Learning outcomes Up

Upon successful completion of this course, students will be able to:

  1. Improve simple proof techniques.

    Contribution to Program Outcomes

    1. Having the knowledge about the scope, applications, history, problems, and methodology of mathematics that are useful to humanity both as a scientific and as an intellectual discipline.
    2. Having improved abilities in mathematics communications, problem-solving, and brainstorming skills.

    Method of assessment

    1. Written exam
  2. Choose solution techniques to calculate linear equations

    Contribution to Program Outcomes

    1. Having the knowledge about the scope, applications, history, problems, and methodology of mathematics that are useful to humanity both as a scientific and as an intellectual discipline.
    2. Communicating between mathematics and other disciplines, and building mathematical models for interdisciplinary problems.

    Method of assessment

    1. Written exam
  3. Interpret mathematical content of linear independency

    Contribution to Program Outcomes

    1. Having the knowledge about the scope, applications, history, problems, and methodology of mathematics that are useful to humanity both as a scientific and as an intellectual discipline.
    2. Exhibiting professional and ethical responsibility.

    Method of assessment

    1. Written exam
   Contents Up
Week 1: Linear transformations: Kernel and Range, rank and nullity,
Week 2: Kernel and Range, rank and nullity, Matrix of a Linear Transformations,
Week 3: Vector space of matrices and vector space of linear transformation,
Week 4: characteristic and minimum polynomial,eigenvalues and eigenvectors,Quiz I
Week 5: Cayley-Hamilton Theorem,
Week 6: diagonalization, similarity,
Week 7: Euclidean spaces: Linear transformations of Euclidean spaces, Hermitian and Uniter transformations,
Week 8: Midterm exam and solutions
Week 9: Orthogonallity, Gram-Schmidt Orthogonalization process
Week 10: Positive Definite Matrices, Bilinear Forms, Quiz II
Week 11: Quadratic Forms, The Inertia for Quadratic forms.
Week 12: canonical forms, Jordan Form, Rasyonel canonical form
Week 13: Jordan Form, Midterm II
Week 14: Rasyonel canonical form
Week 15*: -
Week 16*: Final exam
Textbooks and materials:
Recommended readings: 1) Elementary Lineer Algebra 7th Ed. Bernard Kolman ve David R. Hill
  * Between 15th and 16th weeks is there a free week for students to prepare for final exam.
Assessment Up
Method of assessment Week number Weight (%)
Mid-terms: 8 40
Other in-term studies: 0
Project: 0
Homework: 0
Quiz: 0
Final exam: 16 60
  Total weight:
(%)
   Workload Up
Activity Duration (Hours per week) Total number of weeks Total hours in term
Courses (Face-to-face teaching): 3 14
Own studies outside class: 3 14
Practice, Recitation: 2 14
Homework: 0 0
Term project: 0 0
Term project presentation: 0 0
Quiz: 0 0
Own study for mid-term exam: 15 1
Mid-term: 2 1
Personal studies for final exam: 15 1
Final exam: 2 1
    Total workload:
    Total ECTS credits:
*
  * ECTS credit is calculated by dividing total workload by 25.
(1 ECTS = 25 work hours)
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