COURSE SYLLABUS

DIFFERENTIAL AND INTEGRAL CALCULUS I

1	Course Title:	DIFFERENTIAL AND INTEGRAL CALCULUS I
2	Course Code:	MAT1089
3	Type of Course:	Compulsory
4	Level of Course:	First Cycle
5	Year of Study:	1
6	Semester:	1
7	ECTS Credits Allocated:	6
8	Theoretical (hour/week):	4
9	Practice (hour/week) :	2
10	Laboratory (hour/week) :	0
11	Prerequisites:	Yok
12	Recommended optional programme components:	None
13	Language:	Turkish
14	Mode of Delivery:	Face to face
15	Course Coordinator:	Prof. Dr. AHMET TEKCAN
16	Course Lecturers:	Öğr.Gör.Dr.Betül GEZER
17	Contactinformation of the Course Coordinator:	Uludağ Üniversitesi Fen-Edebiyat Fakültesi Matematik Bölümü 16059 Görükle Bursa-TÜRKİYE 0 224 294 17 51 tekcan@uludag.edu.tr
18	Website:
19	Objective of the Course:	The aim of the course is to make the students gain the some algebraic properties single valued functions including, limit, continuity, derivative, theorems on derivatives, applications of derivatives, graphics, indefinite integrals, reducing formulas, definite integrals, improper integrals, applications of integrals, sequences, series, matrices and determinants.
20	Contribution of the Course to Professional Development

Learning Outcomes:

1	Learn the sets, numbers, relations and functions.;
2	Learn the limit and continuity on single valued functions.;
3	Learn the derivatives of some specific functions.;
4	Learn the applications of derivatives, maximum-minimum problems on single valued functions.;
5	Learn the increasing and decreasing of functions, convex and concave of functions.;
6	Learn the draw the some specific functions.;
7	Learn the indefinite integrals, Riemann sums.;
8	Learn the calculate integrals with change of variables, partial integration, simple fractions and trigonometric change of variables.;
9	Learn the applications of integrals, area, volume, length of arc. Sequence and series, power series and their radius and intervals of convergence.;
10	Learn to matrices, determinants and linear equation systems, Gauss method, inverse matrix method.;

22	Course Content:

Week	Theoretical	Practical
1	Overview of basic concepts on lessons, sets, numbers, identities and equations	Solutions in questions of the subjects of theoretical
2	Relations, functions, and function types	Solutions in questions of the subjects of theoretical
3	Limits and continuity	Solutions in questions of the subjects of theoretical
4	Derivates and derivates some specific functions, geometric interpretation of the derivative	Solutions in questions of the subjects of theoretical
5	Increasing-decreasing functions, concavity of curves, maximum and minimum problems of one valued functions	Solutions in questions of the subjects of theoretical
6	Indeterminate forms on limits and L’Hospital rule	Solutions in questions of the subjects of theoretical
7	Graphing functions with calculus	Solutions in questions of the subjects of theoretical
8	Midterm Exam+ Revision of lesson	Solutions in questions of the subjects of theoretical
9	Indefinite integrals, computing the integrals with change of variables, partial integration, computing the integrals with specific change of variables, trigonometric change of variables	Solutions in questions of the subjects of theoretical
10	Definite integrals, Riemann sums, the fundamental theorem of calculus	Solutions in questions of the subjects of theoretical
11	Approximate integration, improper integrals	Solutions in questions of the subjects of theoretical
12	Applications of definite integrals, area, volume, length of arc, area of surface of revolution, moments and center of mass	Solutions in questions of the subjects of theoretical
13	Sequences, series and power series, radius and intervals of convergence of power series, representations of functions as power series	Solutions in questions of the subjects of theoretical
14	Matrices, determinants and linear equation systems

23	Textbooks, References and/or Other Materials:	[1] O. Bizim, A. Tekcan ve B. Gezer. Genel Matematik, Dora Yayıncılık, 2011. [2] F. Akbulut ve A. Çalışkan. Matematik Analiz Alıştırma ve Problemler Derlemesi, İzmir, 1987. [3] J. Stewart. Calculus, Thomson Pub., 2003. [4] G. Thomas and R. Finney. Calculus and Analytic Geometry Part I, Addison-Wesley Pub. 1994.
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
Information

ECTS / WORK LOAD TABLE

Activites	NUMBER	TIME [Hour]	Total WorkLoad [Hour]
Theoretical	14	4	56
Practicals/Labs	14	2	28
Self Study and Preparation	14	5	70
Homeworks, Performances	0	0	0
Projects	0	0	0
Field Studies	0	0	0
Midtermexams	1	12	12
Others	0	0	0
Final Exams	1	14	14
Total WorkLoad			180
Total workload/ 30 hr			6
ECTS Credit of the Course			6

CONTRIBUTION OF LEARNING OUTCOMES TO PROGRAMME QUALIFICATIONS

	PQ1	PQ2	PQ3	PQ4	PQ5	PQ6	PQ7	PQ8	PQ9	PQ10	PQ11	PQ12
LO1	5	5	3	5	5	4	4	3	4	4	3	5
LO2	5	5	4	5	5	2	4	4	3	4	4	5
LO3	5	5	3	5	5	3	4	4	3	4	4	5
LO4	5	5	4	5	5	2	4	4	3	4	4	5
LO5	5	5	3	5	5	4	4	3	4	4	3	5
LO6	5	5	4	5	5	2	4	4	3	4	4	5
LO7	5	5	3	5	5	3	4	4	3	4	4	5
LO8	5	5	4	5	5	2	4	4	3	4	4	5
LO9	5	5	3	5	5	3	4	4	3	4	4	5
LO10	5	5	4	5	5	2	4	4	3	4	4	5

LO: Learning Objectives

PQ: Program Qualifications

Contribution Level:

1 Very Low

2 Low

3 Medium

4 High

5 Very High