University of Salahaddin Hawler College of Engineering Survey

University of Salahaddin – Hawler College of Engineering Survey Engineering Department Engineering Analysis (Advanced Engineering Mathematics) Third year Survey Engineering Students 2017 -2018 Two hours per week Dr. Kamaran Kakel Gardy Lecturer B. Sc. In Civil Engineering, M. Sc. And Ph. D. in Structure 9/12/2021 1

General Introduction and objectives Throughout the course of history, engineering and mathematics have developed in parallel. All branches of engineering depend on mathematics for their description and there has been a steady flow of ideas and problems from engineering that has stimulated and sometimes initiated branches of mathematics. Thus it is vital that engineering students receive a through grounding in mathematics, with the treatment related to their interest and problems. The main idea behind this subject is the development of the student’s ability to use mathematics with understanding to solve engineering problems. Methods of Teaching and Testing Program: 1. Methods of Teaching: Power points presentation will be used to illustrate the details of the subject, as well as providing the students with complete sets of printed lectures, and using the white board to explain the details of equations and solving the examples and problems. In classroom and during the presentation there will be focus on sharing the students in the course of explanation by raising a direct question to single student or a group of students. 9/12/2021 2

2. Examinations and Testing: First periodical examination carried out at the end of January, the second periodical examination carried out on April and the final examination-first trial carried out at the beginning of July, while the second trial carried out on September. The students are required to exercise the classroom activities, quizzes at the end each subject, home works and submission of reports when required. Marks per Term: First periodic Exam 17% Second periodic Exam 17% Quizzes& Classroom Activities 6% Final Exam 60% Total 100% References: • “Advanced Engineering Mathematics” by Erwin Kreyszic, 9 th edition, 2006, John Wiley & Sons. • “Advanced Engineering Mathematics” by Peter V. O’Neil, 1 st edition, 2007, Thomson. • “Advanced Modern Engineering Mathematics” by Glyn James, 3 rd edition, 2004, Pearson- Prentice hall. • “Mathematical Methods for Engineers and Scientists 2” by K. T. Tang, 1 st edition, 2007, Springer. • “Higher Engineering Mathematics” by John Bird, 5 th edition, 2006, Elsevier. • Any related book to the course materials. 9/12/2021 3

Course program Month Week No. Description Week 1 General introduction , objectives , References, Course program, and Definitions Week 2 Differential equations , First order ordinary differential equations Initial Value Problem, Homogeneous ordinary differential equations of first order Weeks 3, 4 Week 5 Week 6, Weeks 7, 8 Exact ordinary differential equations of first order Linear ordinary differential equations of first order General applications Weeks 9, 10 Second order homogeneous linear ordinary differential equations with constant Weeks 11, 12, 13 coefficients Solution of nth order non-homogeneous ordinary linear differential equations with constant coefficients Weeks 14, 15 Simultaneous linear ordinary differential equations with constant coefficients Weeks 16, 17 Fourier series Weeks 18, 19, 20 Partial differential equations Weeks, 21, 22 equations Week 23 Matrices Weeks 24 Complex variables ++ Text book ++ Reference books ++ Lectures and notes 9/12/2021 4

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