MATHEMATICS II PROGRAMME COURSE DESCRIPTION

Code	Name of the Course Unit	Semester	In-Class Hours (T+P)	Credit	ECTS Credit
MAT128	MATHEMATICS II	2	3	3	6

GENERAL INFORMATION
Language of Instruction :	Turkish
Level of the Course Unit :	BACHELOR'S DEGREE, TYY: + 6.Level, EQF-LLL: 6.Level, QF-EHEA: First Cycle
Type of the Course :	Compulsory
Mode of Delivery of the Course Unit	-
Coordinator of the Course Unit	Assist.Prof. SİNEM GÜRKAN
Instructor(s) of the Course Unit
Course Prerequisite	No

OBJECTIVES AND CONTENTS
Objectives of the Course Unit:	The aim of the course; The aim of the course is to provide the students with the knowledge of integral, integral, and series, and to provide the basis for the information they will use in the future and to provide an analytical thinking structure.
Contents of the Course Unit:	Course Content; Sums and Sigma Notation, Areas with Limits of Limits, Divisions and Riemann Totals, Definite Integral, Properties of Definite Integrals, Fundamental Theorem of Calculus, Inverse Derivatives, Indefinite Integral, Substitute Method, Trigonometric Integrals, Integer Imports, Integrals of Rational Functions, Inversions, Areas of Planar Regions, Spring Length, Volume, Surface Area, Mass, Moments and Center of Mass, Physics Applications of Definite Integrals, Non-Absolute Integals, Non-Integrals, Infinite Series, Convergence Tests for Positive Series, Power Series, Fourier Series.

KEY LEARNING OUTCOMES OF THE COURSE UNIT (On successful completion of this course unit, students/learners will or will be able to)
To teach the basic principles of integral concept and to make connections between abstract concepts and real world concepts
Analyze the causal relationship between the differences between specific and indefinite integral
Apply integral to problems in physics
Develop a rational thinking ability to the problems in the field of physics

WEEKLY COURSE CONTENTS AND STUDY MATERIALS FOR PRELIMINARY & FURTHER STUDY
Week	Preparatory	Topics(Subjects)	Method
1	Internet and book research	Totals and Sigma Notation, Areas with Limits of Limits, Divisions and Riemann Totals	Expression Question answer Case Study Method Demonstration Method Problem Solving Method
2	Internet and book research	Definite integral, properties of definite integral, basic theorem of calculus	Expression Question answer Case Study Method Demonstration Method Problem Solving Method
3	Internet and book research	Inverse Derivatives, Indefinite Integral, Replacement Method	Expression Question answer Case Study Method Demonstration Method Problem Solving Method
4	Internet and book research	Trigonometric Integrals	Expression Question answer Case Study Method Demonstration Method Problem Solving Method
5	Internet and book research	Integral Integration, Integrals of Rational Functions	Expression Question answer Case Study Method Demonstration Method Problem Solving Method
6	Internet and book research	Inverted Substitutions	Expression Question answer Case Study Method Demonstration Method Problem Solving Method
7	Internet and book research	Areas of Planar Regions, Spring Length	Expression Question answer Case Study Method Demonstration Method Problem Solving Method
8	-	MID-TERM EXAM	-
9	Internet and book research	Volume, Surface Area	Expression Question answer Case Study Method Demonstration Method Problem Solving Method
10	Internet and book research	Mass, Moments and Mass Center	Expression Question answer Case Study Method Demonstration Method Problem Solving Method
11	Internet and book research	Physics Applications of Definite Integrals	Expression Question answer Case Study Method Demonstration Method Problem Solving Method
12	Internet and book research	Incompatible Integrals	Expression Question answer Case Study Method Demonstration Method Problem Solving Method
13	Internet and book research	Infinite Series, Convergence Tests for Positive Series	Expression Question answer Case Study Method Demonstration Method Problem Solving Method
14	Internet and book research	Power Series	Expression Question answer Case Study Method Demonstration Method Problem Solving Method
15	Internet and book research	Fourier Series	Expression Question answer Case Study Method Demonstration Method Problem Solving Method
16	-	FINAL EXAM	-
17	-	FINAL EXAM	-

SOURCE MATERIALS & RECOMMENDED READING
Kalkülüs Cilt I, Prof.Dr.M. Terziler, Yrd.Doç.Dr.T. Öner, Palme Yayıncılık, 2012
Shepley L. ROSS, Differential Equations, 1976
Doç. Dr. Uğur Er Çözümlü integral tekniği (1984) İstanbul

ASSESSMENT
Assessment & Grading of In-Term Activities	Number of Activities	Degree of Contribution (%)	Description

Level of Contribution
0	1	2	3	4	5

KNOWLEDGE
Theoretical
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Define the basic concepts of aeronautical standards and rules. (Bloom 1)					4

KNOWLEDGE
Factual
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Organize teamwork during the collection, interpretation, announcement and application of data related to the field. (Bloom 6)					4

SKILLS
Cognitive
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Perform theoretical and practical knowledge related to his/her field in business life using analytical methods and modeling techniques. (Bloom 4)						5
2	Use maintenance manuals and other sources of information in business life to obtain information about the field					4
3	Determine the actualities of all technical and administrative documents related with the field. (Bloom 1)						5
4	Perform theoretical and practical knowledge related to his/her field in business life using analytical methods and modeling techniques. (Bloom 4)						5

SKILLS
Practical
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Use computer software, information and communication technologies at the level required by the field					4
2	Interpret the sketches, scheme, graphics that describe the subject. (Bloom 2)				3

OCCUPATIONAL
Autonomy & Responsibility
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Develop solutions for problems faced during application. (Bloom 6)				3

OCCUPATIONAL
Learning to Learn
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Determine the learning requirements related with his/her field. (Bloom 3)					4
2	Use the lifelong learning principles in occupational development. (Bloom 3)				3

OCCUPATIONAL
Communication & Social
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Apply the technical drawing knowledge effectively in business life. (Bloom 3)					4
2	By informing the relevant persons and institutions about the related field; state his / her thoughts and suggestions for solutions in the field.				3
3	Debate his/her ideas and solution suggestions with experts by supporting them with quantitative and qualitative data. (Bloom 2)				3
4	Participate in training related to the field at international level. (Bloom 3)					4
5	Organize activities for the professional development of employees under his/her responsibility. (Bloom 6).				3

OCCUPATIONAL
Occupational and/or Vocational
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Use the knowledge and skills obtained during undergraduate education in work life. (Bloom 3)						5
2	Solve the problems encountered in his/her field. (Bloom 3)					4
3	Apply the necessary culture of behavior in the areas of quality management and processes and environmental protection and occupational safety (Bloom 3)						5
4	Locate the awareness of safety factor to himself and to the team. (Bloom 1)						5

WORKLOAD & ECTS CREDITS OF THE COURSE UNIT
Workload for Learning & Teaching Activities
Type of the Learning Activites	Learning Activities (# of week)	Duration (hours, h)	Workload (h)
Lecture & In-Class Activities	14	3	42
Preliminary & Further Study	14	2	28
Land Surveying	0	0	0
Group Work	0	0	0
Laboratory	0	0	0
Reading	0	0	0
Assignment (Homework)	1	20	20
Project Work	1	5	5
Seminar	0	0	0
Internship	0	0	0
Technical Visit	0	0	0
Web Based Learning	0	0	0
Implementation/Application/Practice	0	0	0
Practice at a workplace	0	0	0
Occupational Activity	0	0	0
Social Activity	0	0	0
Thesis Work	0	0	0
Field Study	0	0	0
Report Writing	0	0	0
Final Exam	1	1	1
Preparation for the Final Exam	1	30	30
Mid-Term Exam	1	1	1
Preparation for the Mid-Term Exam	1	25	25
Short Exam	0	0	0
Preparation for the Short Exam	0	0	0
TOTAL	34	0	152