Course Descriptions

Integration techniques; improper integrals. Infinite series, positive and alternating series, power series, Taylor and Maclaurin series. Polar coordinates. Vectors and motion in space, vector valued functions.

Charge and matter, electric field and Gauss' law, electric potential, capacitors, DC circuits, magnetic field, Ampere's law, Faraday's law, inductance, magnetic properties of matter, Maxwell's equations.

Experiments on: capacitors; DC circuits; magnetic field; Ampere's law; Faraday's law; inductance; magnetic properties of matter.

Definitions of microeconomics and macroeconomics. Essentials of microeconomics. Operations of markets. Scarcity and resource allocation. Demand and supply analysis and elasticities. Market efficiency and welfare. Consumer and producer surplus. Cost analysis of firms. Perfect competition and imperfect competition. Monopoly, oligopoly and monopolistic competition. Externalities and internalities. Economics of factor markets.

Matrices, matrix addition, matrix and scalar multiplication, algebraic properties of matrix operations, special types of matrices, solving linear systems, elementary row and column operations, echelon form of a matrix, Gauss and Gauss-Jordan method, elementary matrices and finding the inverse of a matrix by using elementary operations, real vector spaces, definition, subspaces, span and linear independence, basis and dimensions, homogeneous systems, rank of a matrix, linear spaces with inner product, definition of the inner product, Gram-Schmidt process, orthogonal complements, linear transformation and their matrix representations, kernel and range of a linear transformation, matrix of a linear transformation, determinants, definition and properties of determinants, cofactor expansion, finding inverses by using cofactors, eigenvalues and eigenvectors, characteristic polynomial and equation of a matrix, eigenvalues and eigenvectors, diagonalization of symmetric matrices.

Basic topics in probability, probability axioms, sample space, conditional probability, counting methods, discrete random variables, probability mass function, families of discrete random variables, expectations, function of a random variable, variance and standard deviation, continuous random variables, distribution function, probability density function, expected values, families of continuous random variables, the normal distribution, pairs of random variables, joint distribution function, marginals, joint probability function, functions of two random variables, variance, covariance and correlation concepts.

Explanation of communication, explanation of language and its relationship with the thinking proces, culture, society and literature; written and oral communication; main characterisrics of the Turkish language; phrases and types of narration; expressional failure.

Basic topics in parametric statistics; estimation, confidence intervals, and hypothesis testing; analysis of variance, regression and correlation analysis; goodness of fit tests. Elementary design of experiments and data collection; computer implementations using available up-to-date statistical software.