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# Course Information

 Course Name Turkish Mühendislik Matematiği English Engineering Mathematics Course Code GEM 210E Credit Lecture (hour/week) Recitation (hour/week) Laboratory (hour/week) Semester 3 4 4 - - Course Language English Course Coordinator Devrim Bülent Danışman Course Objectives 1. To teach the solution methods of linear equation systems and to provide the ability to use the concepts of matrix and determinant in application. 2. To introduce the basic concepts required to understand, construct, solve and interpret differential equations and to teach methods to solve differential equations of various types. 3. To give an ability to apply knowledge of mathematics in engineering problems. Course Description Matrices and Systems of Linear Equations, Vector Spaces, Eigenvalues and Eigenvectors, First Order Differential Equations, Higher Order Linear Equations, The Laplace Transform, Systems of First Order Linear Differential Equations Course Outcomes Students completing this course will be able to: 1. Solve the systems of linear equations, provide arithmetic operations with matrices, compute the inverse of matrix, determine the value of determinant of a matrix and use Cramer rule to solve the linear systems, 2. Learn the importance of the concepts of vector space, basis and dimension; evaluate the eigenvalues and the corresponding eigenvectors of the matrix, 3. Classify differential equations according to certain features, 4. Solve first order linear equations and nonlinear equations of certain types, interpret the solutions and understand the conditions for the existence and uniqueness of solutions for linear differential equations, 5. Solve higher order linear differential equations with constant coefficients and construct all solutions from the linearly independent solutions; solve systems of linear differential equations with methods from linear algebra; solve initial value problems using the Laplace transform. Pre-requisite(s) Required Facilities Other Textbook DIFFERENTIAL EQUATIONS & LINEAR ALGEBRA C. Henry Edwards David E. Penney The University of Georgia David T. Calvis Baldwin Wallace University Other References