MAT 201 ADVANCED MATHEMATICS I

MAT 201 ADVANCED MATHEMATICS I Semester 3 Language Compulsory / Elective Prerequisites Catalog Description

Course Objectives Course Outcomes Textbook and /or References

Assessment Criteria

Course Category by Content (%)

Instructors

Lecture 2

CIVIL ENGINEERING Credit Structure Recitation 2

Laboratory 0

Turkish Compulsory MAT 102 Basic concepts. Methods of obtaining differential equations. First order differential equations: exact differential, separable, homogenous differential equations. Higher order, constant coefficient linear differential equations. Undetermined coefficients method. Operator method. Higher order variable coefficient linear differential equations. Solution by power series. Laplace transformation. Provision of a mathematical fundamental for analysis of engineering problems. Acquisition of fundamental mathematical knowledge for engineering problems and developing analytical thinking skills. TANER Tuğrul, “Calculus I” DEMİR H., SÜER B., “Calculus” Prof.Dr.Saffet SÜRAY, “Genel Matematik” AYRES F., “Calculus” Prof.Dr.Alptekin ESİN-Esen AĞLI, “Genel Matematik” Quantity Percentage 2 50 Midterm Exams Quizzes Homework Projects Term Paper Laboratory Work Other 1 50 Final Exam 45 Mathematics and Basic Sciences 25 Engineering Science 25 Engineering Design 5 Social Sciences Prof. Güven ÜNAL

COURSE PLAN Week 1 2 3 4 5 6 7 8 9 10 11 12 13 14

Topics Formation of Differential Equations Degree and Order in Differential Equations Separable Differential Equations Homogeneous Differential Equations Linear Differential Equations Exact Differential Equations and Bernouilli Differential Equations Claraits Differential Equations Riccati Differential Equations Second Order Linear Differential Equations Higher Order Linear Differential Equations Solution of Differential Equations by Operators Solution of Differential Equations Systems Linear Differential Equations by Undetermined Coefficients Method Cauchy Linear Differential Equations

RELATIONSHIP BETWEEN THE COURSE AND DEPARTMENT CURRICULUM Program Outcomes 1 2 3 4 5 6 7 8 9 10 11

1

An ability to apply knowledge of mathematics, science, and engineering An ability to design and conduct experiments, as well as to analyze and interpret data An ability to design a system, component, or process to meet desired needs An ability to function on multi-disciplinary teams An ability to identify, formulate, and solve engineering problems An understanding of professional and ethical responsibility An ability for effective written and oral communication in Turkish and English The broad education necessary to understand the impact of engineering solutions in a global and societal context A recognition of the need for, and ability to engage in life-long learning A knowledge of contemporary issues An ability to use the techniques, skills, and modern engineering tools necessary for engineering practice Contribution of the course : 1:None 2:Partially

2

3 X

X X X X X X X X X X 3:Completely