Information Package
baskent.edu.tr

Program of Computer Engineering (English)

MATH286

MATHEMATICS FOR COMPUTER ENGINEERING

Course Code
MATH286
Semester
Fourth Term (Spring)
Theory+Practice
3 + 1
ECTS
5
Course TypeCompulsory Course
Course LevelBachelor's Degree
Year of Study2
SemesterFourth Term (Spring)
ECTS5
Name of Lecturer(s)
Learning Outcomes

At the end of this course, the students;

  1. Learn methods for solving Ordinary Differential Equations.
  2. Know Laplace Transforms and apply them to solve differential equations of engineering subjects.
  3. Learn Fourier Series, Integrals and Transforms.
  4. Recognize and solve partial differential equations.
  5. Apply numerical methods in Linear Algebra and Differential Equations.
  6. Learn complex functions.
  7. Develop problem-solving skills and working together.
Mode of DeliveryFace to face
PrerequisitesYes(MATH152)
Recommended Optional Programme ComponentsNone
Course DescriptionOrdinary Differential Equations (ODE): First order ODE, Linear differential equations of second order, Systems of ODE, Series solutions of ODE. Fourier Series. Partial Differential Equations. Complex Numbers and Functions. Numerical Methods in Linear Algebra. Numerical Methods for Differential Equations.
Course Contents
WEEK TOPICS
1st Week Ordinary Differential Equations (ODEs): Introduction, Applications, and Classification
2nd Week First-Order ODEs: Explicit and Implicit Solutions, Existence and Uniqueness Theorem
3rd Week First-Order ODEs: Separable Equations, Equations Reducible to Separable Equations
4th Week First-Order ODEs: Linear Equations, Bernoulli Equations
5th Week First-Order ODEs: Homogeneous Equations
6th Week First-Order ODEs: Exact Equations, Integrating Factor
7th Week Linear Dependence and Independence of Functions
8th Week Midterm
9th Week Higher-Order Linear Differential Equations: Homogeneous Equations with Constant Coefficients
10th Week Higher-Order Nonhomogeneous Linear Differential Equations: Method of Undetermined Coefficients
11th Week Higher-Order Nonhomogeneous Linear Differential Equations: Method of Variation of Parameters
12th Week Homogeneous and Nonhomogeneous Cauchy-Euler Equations
13th Week Systems of ODEs
14th Week Solution of ODEs by Power Series
15th Week Fourier Series & Numerical Methods for Differential Equations: Euler Method, Midpoint Method, 2nd-Order Runge-Kutta Method
Recommended or Required Reading1. Greenberg M.D., Advanced Engineering Mathematics, 2/E, Prentice-Hall, 1998
2. Kreyszig E., Advanced Engineering Mathematics, 9/E, John Wiley & Sons Inc., 2006
Planned Learning Activities and Teaching Methods
  • Lecture
  • Questions/Answers
  • Problem Solving
  • Experiment
  • Practice
  • Project
  • Report Preparation
  • Presentation
Assessment Methods and Criteria
Quantity Percentage (%)
Mid-term 1 30
Assignment 1 10
Quiz 4 20
Total(%) 60
Contribution of In-term Studies to Overall Grade(%) 60
Contribution of Final Examination to Overall Grade(%) 40
Total(%) 100
Language of InstructionEnglish
Work Placement(s)No

Programme Qualifications / Learning Outcomes

LO1 LO2 LO3 LO4 LO5 LO6 LO7
K1 X X X X X X X
K2
K3
K4
K5
K6
K7
K8
K9
K10
K11