COURSE SYLLABUS

ENGINEERING MATHEMATICS

1	Course Title:	ENGINEERING MATHEMATICS
2	Course Code:	MAT2078
3	Type of Course:	Compulsory
4	Level of Course:	First Cycle
5	Year of Study:	2
6	Semester:	4
7	ECTS Credits Allocated:	6
8	Theoretical (hour/week):	4
9	Practice (hour/week) :	0
10	Laboratory (hour/week) :	0
11	Prerequisites:	None
12	Recommended optional programme components:	None
13	Language:	Turkish
14	Mode of Delivery:	Face to face
15	Course Coordinator:	Prof. Dr. EMRULLAH YAŞAR
16	Course Lecturers:	Fen-Edebiyat Fakültesi Matematik Bölümü tüm öğretim üyeleri
17	Contactinformation of the Course Coordinator:	e-posta:eyasar@uludag.edu.tr Telefon:0224 2941768 Adres:U.Ü Fen-Edb. Fak. Mat. Böl. B102 Görükle Bursa
18	Website:
19	Objective of the Course:	The aim of the course is to make the students gain the some algebraic properties on vectorial analysis including, vector, line and plane in R3, vector valued functions, limits and continuity of functions of several variables, partial derivatives, derivative with direction, gradient vector, double integrals and their applications, polar coordinates, Fubini theorem, arc integral integrals and their applications, Green theorem.
20	Contribution of the Course to Professional Development	Gains the backgrounds to follow the mathematical aspects of a problem arising or encountered in the field of agricultural sciences.

Learning Outcomes:

1	Learn the definitions of vector, line, plane and some properties of them and learn the vector functions, limit, continuity, derivates and integrals;
2	Learn the limit and continuity on functions of multi variables;
3	Learn the partial derivatives and chain rule on multi variable functions;
4	Learn the expansion of Taylor series in two variables functions;
5	Learn the derivatives with directions and gradient vector on multi variable functions;
6	Learn to solve the problems of maximum-minimum of functions of multi variables ;
7	Learn to calculate double integrals and their application areas;
8	Learn to calculate arc integrals and application of Green theorem;

22	Course Content:

Week	Theoretical	Practical
1	Overview of basic concepts on lessons
2	Vector, line, plane and some properties of them in R^3
3	Limit, continuity, derivative and integral of vector valued functions and curvature of them
4	Multi variable functions and limit and continuity of them
5	Partial derivatives and chain rule of multi variable functions
6	Tangent plane and chain rule on multi variable functions
7	Derivatives with direction and gradient vector
8	Repeating courses and midterm exam
9	Taylor series expansion on multi variable functions, maximum-minimum problems of functions of multi variable functions
10	Double integrals and their applications
11	Mass and center of weight on double integrals
12	Change of variables in double integrals and polar coordinates
13	Arc integrals and their applications
14	Green’s theorem and its applications

23	Textbooks, References and/or Other Materials:	[1] Mustafa Balcı, Genel matematik 2, Palme Yayınevi, 2018 [2] A.I. Khuri. Advanced Calculus with Applications in Statistics, 2003. [3] J. Stewart. Calculus. 5
24	Assesment

TERM LEARNING ACTIVITIES	NUMBER	PERCENT
Midterm Exam	1	40
Quiz	0	0
Homeworks, Performances	0	0
Final Exam	1	60
Total	2	100
Contribution of Term (Year) Learning Activities to Success Grade		40
Contribution of Final Exam to Success Grade		60
Total		100
Measurement and Evaluation Techniques Used in the Course	Measurement and evaluation are performed according to the Rules & Regulations of Bursa Uludağ University on Undergraduate Education.
Information

ECTS / WORK LOAD TABLE

CONTRIBUTION OF LEARNING OUTCOMES TO PROGRAMME QUALIFICATIONS

LO: Learning Objectives

PQ: Program Qualifications

Contribution Level:

1 Very Low

2 Low

3 Medium

4 High

5 Very High