Search results: 1973
- Teacher: Ibrahim Avci
- Teacher: Cem Kaanoglu
- Teacher: Emmanuel Okitor
The objective of this course is to introduce the basic issues and tools of statistical inference based on the background which is constructed in MATH205. Topics include moment generating functions, multivariate probability distributions, conditional expectation, empirical distribution function, Least Squares Estimators and their applications in simple linear regression analysis, Moment Estimators, Maximum Likelihood Estimators, the properties of estimators (such as unbiasedness, efficiency, consistency, and sufficiency), the law of large numbers, confidence intervals for some population parameters, hypothesis tests, the statistical power of a test, statistical inferences for the mean of a normal random variable. In addition, the course aims to introduce applications of these basic topics in different software programs
- Teacher: Aysegul Erem
- Teacher: Zehra Sensoy
The course is held in two parts. The first part of the course covers
review of the differential equations and linear algebra undergraduate topics: First-order
and second order ordinary differential equations and their solutions. Laplace
transforms and power series solutions. The linear algebra topics (the system
solutions, vectors etc.), as well as their examples of applications in the
field of engineering. In the second part, the higher order linear
differential equations with variable coefficients, higher order nonlinear
differential equations, Laplace Transforms, inverse Laplace transforms,
Convolution and integral equations, solution of differential equations systems
with Laplace transform, initial value series solutions of differential
equations are discussed.