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Syllabus ( MATH 114 )


   Basic information
Course title: Linear Algebra II
Course code: MATH 114
Lecturer: Prof. Dr. Mustafa AKKURT
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: To teach the fundamental concepts of Linear Algebra.
   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: Length and direction in R^2 and R^3 and dot product
Coordinates and Isomorphisms
Week 2: Inner product spaces
Week 3: Gram-Schmidt process
Week 4: Orthogonal complements
Week 5: Linear transformations (definition and examples)
Week 6: Kernel and range of a linear transformation
Week 7: Matrix of a linear transformation, transition matrices
Week 8: Midterm exam and solutions
Week 9: Similarity
Week 10: Eigenvalues and eigenvectors
Week 11: Diagonalization and similar matrices
Week 12: Diagonalization of symmetric matrices
Week 13: Real quadratic forms
Week 14: Jordan form of a matrix
Week 15*: -
Week 16*: Final exam
Textbooks and materials:
Recommended readings: 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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