MAT 201 ADVANCED MATHEMATICS I                             CIVIL ENGINEERING
Credit Structure
   Semester
                           Lecture                 Recitation                  Laboratory
      3                       2                         2                          0
Language         Turkish
Compulsory /
                 Compulsory
Elective
Prerequisites    MAT 102
Catalog          Basic concepts. Methods of obtaining differential equations. First order
Description      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.
Course           Provision of a mathematical fundamental for analysis of engineering problems.
Objectives
Course           Acquisition of fundamental mathematical knowledge for engineering problems
Outcomes         and developing analytical thinking skills.
Textbook and     TANER Turul, Calculus I
/or References   DEMR H., SER B., Calculus
                 Prof.Dr.Saffet SRAY, Genel Matematik
                 AYRES F., Calculus
                 Prof.Dr.Alptekin ESN-Esen ALI, Genel Matematik
Assessment                                                  Quantity            Percentage
Criteria         Midterm Exams                                  2                   50
                 Quizzes
                 Homework
                 Projects
                 Term Paper
                 Laboratory Work
                 Other
                 Final Exam                                     1                   50
Course           Mathematics and Basic Sciences                             45
Category by      Engineering Science                                        25
Content (%)
                 Engineering Design                                         25
                 Social Sciences                                             5
Instructors      Prof. Gven NAL
                                         COURSE PLAN
Week       Topics
 1         Formation of Differential Equations
 2         Degree and Order in Differential Equations
 3         Separable Differential Equations
 4         Homogeneous Differential Equations
 5         Linear Differential Equations
 6         Exact Differential Equations and Bernouilli Differential Equations
 7         Claraits Differential Equations
 8         Riccati Differential Equations
 9         Second Order Linear Differential Equations
 10        Higher Order Linear Differential Equations
 11        Solution of Differential Equations by Operators
 12        Solution of Differential Equations Systems
 13        Linear Differential Equations by Undetermined Coefficients Method
 14        Cauchy Linear Differential Equations
       RELATIONSHIP BETWEEN THE COURSE AND DEPARTMENT CURRICULUM
                                 Program Outcomes                                   1      2      3
1       An ability to apply knowledge of mathematics, science, and engineering                    X
        An ability to design and conduct experiments, as well as to analyze and            X
2
        interpret data
        An ability to design a system, component, or process to meet desired               X
3
        needs
4       An ability to function on multi-disciplinary teams                                        X
5       An ability to identify, formulate, and solve engineering problems                         X
6       An understanding of professional and ethical responsibility                        X
        An ability for effective written and oral communication in Turkish and             X
7
        English
        The broad education necessary to understand the impact of engineering                     X
8
        solutions in a global and societal context
9       A recognition of the need for, and ability to engage in life-long learning                X
10      A knowledge of contemporary issues                                                        X
        An ability to use the techniques, skills, and modern engineering tools             X
11
        necessary for engineering practice
                                      Contribution of the course : 1:None 2:Partially   3:Completely