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Syllabus ( MATH 116 )


   Basic information
Course title: Linear Algebra
Course code: MATH 116
Lecturer: Prof. Dr. Sibel ÖZKAN
ECTS credits: 5
GTU credits: 3 (3+0+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: To teach solution techniques for linear systems and mathematical concept of linear independence

   Learning outcomes Up

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

  1. Learning to represent the linear systems with matrix equations and to solve linear equations with matrix methods

    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. Describing, formulating, and analyzing real-life problems using mathematical and statistical techniques.
    4. Having improved abilities in mathematics communications, problem-solving, and brainstorming skills.

    Method of assessment

    1. Written exam
    2. Homework assignment
  2. Finding eigenvalues and eigenvectors for Linear Equations 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. Describing, formulating, and analyzing real-life problems using mathematical and statistical techniques.
    4. Having improved abilities in mathematics communications, problem-solving, and brainstorming skills.

    Method of assessment

    1. Written exam
    2. Homework assignment
  3. Understanding linear independence and 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. Communicating between mathematics and other disciplines, and building mathematical models for interdisciplinary problems.
    3. Describing, formulating, and analyzing real-life problems using mathematical and statistical techniques.
    4. Having improved abilities in mathematics communications, problem-solving, and brainstorming skills.

    Method of assessment

    1. Written exam
    2. Homework assignment
   Contents Up
Week 1: Matrices, systems of linear equations, matrix operations
Week 2: Determinants, matrix inverses
Week 3: Echelon form, reduced echelon form, solutions of linear equations
Week 4: Vector space, linear independence,
Homework 1
Week 5: Bases for vector spaces,
Week 6: Change of basis, Quiz
Week 7: Echelon forms and LU decomposition
Week 8: Matrix rank, row space column space , null space
Week 9: Linear transformations
Week 10: Inner product spaces, Orthogonal bases,
Homework 2
Week 11: Eigenvalues and eigenvectors
Week 12: Midterm exam and solutions
Week 13: Diagonalization
Week 14: Gram-Schmidt method
Week 15*: -
Week 16*: Final Exam
Textbooks and materials: Linear Algebra with Applications, Steven J. Leon, 9th ed. 2015, Pearson - Prentice Hall.
Recommended readings: Linear Algebra and its applications, David C. Lay, 2012.
  * 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: 12 30
Other in-term studies: 0
Project: 0
Homework: 4,10 10
Quiz: 6 15
Final exam: 16 45
  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: 4 14
Practice, Recitation: 0 0
Homework: 3 2
Term project: 0 0
Term project presentation: 0 0
Quiz: 2 1
Own study for mid-term exam: 5 1
Mid-term: 2 1
Personal studies for final exam: 6 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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