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Syllabus ( MATH 217 )


   Basic information
Course title: Linearr Algebra and Differantial Equations
Course code: MATH 217
Lecturer: Prof. Dr. Emil NOVRUZ
ECTS credits: 8
GTU credits: 5 (4+2+0)
Year, Semester: 2, Fall
Level of course: First Cycle (Undergraduate)
Type of course: Compulsory
Language of instruction: Turkish
Mode of delivery: Face to face
Pre- and co-requisites: MATH 102
Professional practice: No
Purpose of the course: The aim this course is to give introdyctory information about vectors ,matrices together with linear differential equations. Also, the topics of eigenvalues, eigenvectors and laplace transformations will be taught.
   Learning outcomes Up

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

  1. Obtain introductory information on linear algebra and differential 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.

    Method of assessment

    1. Written exam
    2. Oral exam
  2. Come up with solutions to mathematical 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
    2. Oral exam
  3. Model and interpret systems with differential 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.
    3. Describing, formulating, and analyzing real-life problems using mathematical and statistical techniques.

    Method of assessment

    1. Written exam
    2. Oral exam
    3. Homework assignment
   Contents Up
Week 1: Vectors, Matrices, and Linear Equations
Week 2: Dimension, Rank and Linear Transformations
Week 3: Vector Spaces
Week 4: Determinants
Week 5: Eigenvalues and Eigenvectors
Week 6: Orthogonality
Week 7: General Theory of Linear System Theory, Midterm
Week 8: General Theory of Linear Differential Equations
Week 9: Linear Differential Equations with Constant Coefficients
Week 10: Variation of Parameters and Green’s Functions
Week 11: Variation of Parameters and Green’s Functions (cont.)
Week 12: Laplace Transform
Week 13: Laplace Transform (cont.)
Week 14: Applications
Week 15*: -
Week 16*: Final exam
Textbooks and materials: Elementary Linear Algebra with Applications, B.Kolman, D.R.Hill, Pearson International Edition, 9/E(2013), ISBN 0-13-135063-3.
Elementary Differential Equations and Boundary Value Problems, W.E. Boyce, R.C. Diprima, 10th Edition, John Wiley&Sons, Inc., 2013
Recommended readings: Elementary Linear Algebra with Applications, B.Kolman, D.R.Hill, Pearson International Edition, 9/E(2013), ISBN 0-13-135063-3.
Elementary Differential Equations and Boundary Value Problems, W.E. Boyce, R.C. Diprima, 10th Edition, John Wiley&Sons, Inc., 2013
  * 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: 7 30
Other in-term studies: 2,3,4,5,6,8,9,10,12 10
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): 4 14
Own studies outside class: 2 10
Practice, Recitation: 2 14
Homework: 6 10
Term project: 0 0
Term project presentation: 0 0
Quiz: 0 0
Own study for mid-term exam: 6 2
Mid-term: 2 1
Personal studies for final exam: 8 2
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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