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Syllabus ( MATH 113 )


   Basic information
Course title: Linear Algebra I
Course code: MATH 113
Lecturer: Assoc. Prof. Dr. Nursel EREY
ECTS credits: 6
GTU credits: 4 (3+2+0)
Year, Semester: 1, Fall
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: Introduce the fundamentals of linear algebra
   Learning outcomes Up

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

  1. Explain solution techniques for linear systems

    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.
    3. Having improved abilities in mathematics communications, problem-solving, and brainstorming skills.

    Method of assessment

    1. Written exam
  2. Interpret mathematical concept of linear independence

    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.

    Method of assessment

    1. Written exam
  3. Define a vector spaces

    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.
    3. Exhibiting professional and ethical responsibility.

    Method of assessment

    1. Written exam
  4. Recognize and hopefully adapt at 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. Communicating between mathematics and other disciplines, and building mathematical models for interdisciplinary problems.
    3. Exhibiting professional and ethical responsibility.

    Method of assessment

    1. Written exam
   Contents Up
Week 1: Matrix algebra: Matrix Addition, multiplication,
Week 2: algebraic properties of matrix addition, multiplication, special types of matrices, partioned matrices,
Week 3: Echelon form of a matrix, Elementary matrices, Inverse of matrix.
Week 4: Systems of linear equations: Gaussian elimination, Gauss-Jordan reduction method
Week 5: Determinants, Properties of determinants, Cramers rule.
Week 6: Euclidean n space
Week 7: General Vector spaces,Subpaces
Week 8: Linear independence, span, rank of matrix,basis, dimension - midterm exam
Week 9: Coordinates, isomorphisims, Change of basis
Week 10: Inner product space
Week 11: Inner product space,Gramm-Schmidh Process
Week 12: Gramm-Schmidh Process,orthogonal basis,Orthonormal basis
Week 13: Orthogonaly Complements
Week 14: Ranks
Week 15*: -
Week 16*: Final exam
Textbooks and materials: 1)Elementary Lineer Algebra 7th Ed. Bernard Kolman ve David R. Hill
Recommended readings: Basic Linear Algebra, Cemal Koç, 2nd ed. 1995, Matematik Vakfı Yayınları, ODTÜ,
  * 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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