Nevşehir Hacı Bektaş Veli University Course Catalogue

Information Of Programmes

FACULTY OF ENGINEERING & ARCHITECTURE / CM-203 - ENVIRONMENTAL ENGINEERING

Code: CM-203 Course Title: ENGINEERING MATHEMATICS Theoretical+Practice: 3+0 ECTS: 5
Year/Semester of Study 2 / Fall Semester
Level of Course 1st Cycle Degree Programme
Type of Course Compulsory
Department ENVIRONMENTAL ENGINEERING
Pre-requisities and Co-requisites None
Mode of Delivery Face to Face
Teaching Period 14 Weeks
Name of Lecturer AHMET KAYA (akaya@nevsehir.edu.tr)
Name of Lecturer(s)
Language of Instruction Turkish
Work Placement(s) None
Objectives of the Course
Systematic and logical thinking habits, Teach and apply the language of science and technology, to establish a concrete-abstract link.

Learning Outcomes PO MME
The students who succeeded in this course:
LO-1 To be able to create mathematical models of engineering problems. PO-1 In mathematics, science and engineering fields related to environmental engineering to have these fields in use for the solution of theoretical and practical knowledge of engineering,
 		Examination
LO-2 To be able to uses in problem solving, such as the versatile speed, force, acceleration, and weight defines the vectors quantities. PO-2 Environmental Science and Environmental Technology on the engineering problems to identify, formulate, and solve engineering problems, for this purpose, select and apply appropriate analytical methods and modeling techniques,
Examination
LO-3 Can be able to set up differential equations for the creation of mathematical models in engineering problems PO-3 The modern techniques and tools necessary for engineering practice to select and use skills, ability to use information technology effectively,
Examination
LO-4 Converting solution providing solutions to differential equations that are difficult to be able to use Laplace transforms PO-1 In mathematics, science and engineering fields related to environmental engineering to have these fields in use for the solution of theoretical and practical knowledge of engineering,
 		Examination
LO-5 Ordinary and partial differential equations to be able to solves. PO-1 In mathematics, science and engineering fields related to environmental engineering to have these fields in use for the solution of theoretical and practical knowledge of engineering,
PO-2 Environmental Science and Environmental Technology on the engineering problems to identify, formulate, and solve engineering problems, for this purpose, select and apply appropriate analytical methods and modeling techniques,
Examination
PO: Programme Outcomes
MME:Method of measurement & Evaluation

Course Contents
Functions of several variables, limits, continuity, composite and implicit functions, partial derivatives, total differential and applications.Functional determinant (Jacobian), variable transformation. Maximum-minimum of functions of two variables. Multiple integrals, vector fields, gradient, divergence, curl concepts.
Weekly Course Content
Week Subject Learning Activities and Teaching Methods
1 Introduction to engineering mathematics Lecture, Questions And Answers
2 Formulation of engineering problems, Lecture, Questions And Answers, Practice and application
3 Vector and the gradient Lecture, Questions And Answers, Practice and application
4 With the help of definite integrals area and volume calculation Lecture, Questions And Answers, Practice and application
5 Vector differential mathematics, Lecture, Questions And Answers, Practice and application
6 First order ordinary differential equations, Lecture, Questions And Answers, Practice and application
7 Second order linear homogeneous differential equations with constant coefficients and solution methods, Lecture, Questions And Answers, Practice and application
8 mid-term exam
9 High-order homogeneous and non-homogeneous linear differential equations with constant coefficients, Lecture, Questions And Answers, Practice and application
10 Systems of differential equations Lecture, Questions And Answers, Practice and application
11 Derivatives and geometric means Lecture, Questions And Answers, Practice and application
12 Derivatives of algebraic functions Lecture, Questions And Answers, Practice and application
13 Differential and geometric means. Lecture, Questions And Answers, Practice and application
14 Line, surface, volume integrals and integral theorems Lecture, Questions And Answers, Practice and application
15 Modeling of the specific problems of environmental engineering Lecture, Questions And Answers, Practice and application
16 final exam
Recommend Course Book / Supplementary Book/Reading
1 Calculus and Analytical Geometry, G.B. Thomas ve R.L. Finney, Addison-Wesley, 1992.
2 Advanced Engineering Mathematics, 7th Ed., Erwin Kreyszig, Wiley, 1994.
3 Calculus 1, George B. Thomas, Beta Basım Yayım, 2010.
4 Calculus 2, George B. Thomas, Beta Basım Yayım, 2010.
Required Course instruments and materials
None

Assessment Methods
Type of Assessment Week Hours Weight(%)
mid-term exam 8 2 40
Other assessment methods
1.Oral Examination
2.Quiz
3.Laboratory exam
4.Presentation
5.Report
6.Workshop
7.Performance Project
8.Term Paper
9.Project
final exam 16 2 60

Student Work Load
Type of Work Weekly Hours Number of Weeks Work Load
Weekly Course Hours (Theoretical+Practice) 3 14 42
Outside Class
       a) Reading 1 14 14
       b) Search in internet/Library 1 14 14
       c) Performance Project 0
       d) Prepare a workshop/Presentation/Report 0
       e) Term paper/Project 0
Oral Examination 0
Quiz 0
Laboratory exam 0
Own study for mid-term exam 4 7 28
mid-term exam 2 1 2
Own study for final exam 4 12 48
final exam 2 1 2
0
0
Total work load; 150