Software Engineering Preview
Bachelor	TR-NQF-HE: Level 6	QF-EHEA: First Cycle	EQF-LLL: Level 6

Course Introduction and Application Information

Course Code:

MAT106

Course Name:

Diferansiyel ve İntegral Matematik 2

Semester:

Spring

Course Credits:

ECTS

Language of instruction:

Turkish

Course Condition:

MAT105 - Diferansiyel ve İntegral Matematik 1 | YAZ101 - Diferansiyel ve Integral Matematik

Does the Course Require Work Experience?:

Type of course:

Compulsory Courses

Course Level:

Bachelor

TR-NQF-HE:6. Master`s Degree

QF-EHEA:First Cycle

EQF-LLL:6. Master`s Degree

Mode of Delivery:

Face to face

Course Coordinator:

Dr. Öğr. Üy. FUNDA ÖZDEMİR

Course Lecturer(s):

Assist. Prof. Dr. FUNDA ÖZDEMIR

Course Assistants:

Course Objective and Content

Course Objectives:	The course aims to teach the improper integrals, sequences and series, differentiation, optimization and integration of functions of several variables, various coordinate systems and to gain the ability to use these concepts in solving engineering problems.
Course Content:	The content of the course consists of improper integrals, sequences and series, approximation of functions by series, functions of several variables, differentiation of functions of several variables, optimizing functions of several variables, integrating functions of several variables, integrals in Cartesian and polar coordinates.

Learning Outcomes

The students who have succeeded in this course;
1) Compute the integrals over unbounded regions.
2) Learn the notion of convergence of series and use various tests to determine series convergence; find Taylor representations of functions and approximate functions via Taylor polynomial.
3) Understand and use the concept of a function of several variables, draw graphs in 3 dimensional spaces.
4) Compute partial derivatives, directional derivatives and write equations of tangent planes to surface; apply partial derivatives to find and test local extrema.
5) Evaluate double integrals in Cartesian and polar coordinates and triple integrals in Cartesian coordinates.

Course Flow Plan

Week	Subject	Related Preparation
1)	Improper integrals
2)	Sequences, infinite series
3)	The divergence and integral tests
4)	The ratio and alternating series tests
5)	Power series, Taylor series
6)	Vectors, dot product
7)	Cross product, planes and surfaces
8)	Midterm Exam
9)	Level curves, limits and continuity
10)	Partial derivatives, chain rule, directional derivatives, gradient, tangent planes
11)	Maximum/minimum problems
12)	Lagrange multipliers, double integrals over rectangular regions
13)	Double integrals over general regions or in polar coordinates
14)	Triple integrals

Sources

Course Notes / Textbooks:	Thomas, G.B. et al., Thomas’ Calculus, Pearson
References:	Calculus Early Transcendentals 2nd Edition (Global Edition), Briggs, Cochran & Gillett.

Course - Program Learning Outcome Relationship

Course Learning Outcomes	1	2	3	4	5
Program Outcomes
1) Adequate knowledge in mathematics, science and software engineering; the ability to use theoretical and practical knowledge in these areas in complex engineering problems.
2) Ability to identify, formulate, and solve complex software engineering problems; ability to select and apply appropriate analysis and modeling methods for this purpose.
3) Ability to design, implement, verify, validate, measure and maintain a complex software system, process, device or product to meet specific requirements under realistic constraints and conditions; ability to apply modern design methods for this purpose.
4) Ability to develop, select and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in software engineering applications; ability to use information technologies effectively.
5) Ability to design, conduct experiments, collect data, analyze and interpret results for the study of complex engineering problems or software engineering research topics.
6) Ability to work effectively within and multidisciplinary teams; individual study skills.
7) Ability to communicate effectively orally and in writing; knowledge of at least one foreign language; ability to write effective reports and understand written reports, to prepare design and production reports, to make effective presentations, to give and receive clear and understandable instructions.
8) Awareness of the necessity of lifelong learning; the ability to access information, to follow developments in science and technology and to renew continuously.
9) To act in accordance with ethical principles, professional and ethical responsibility; information on the standards used in engineering applications.
10) Information on business practices such as project management, risk management and change management; awareness of entrepreneurship and innovation; information about sustainable development.
11) Knowledge of the effects of software engineering practices on health, environment and safety in the universal and social scale and the problems of the era reflected in software engineering; awareness of the legal consequences of software engineering solutions.

Course - Learning Outcome Relationship

No Effect	1 Lowest	2 Average	3 Highest

	Program Outcomes	Level of Contribution
1)	Adequate knowledge in mathematics, science and software engineering; the ability to use theoretical and practical knowledge in these areas in complex engineering problems.	3
2)	Ability to identify, formulate, and solve complex software engineering problems; ability to select and apply appropriate analysis and modeling methods for this purpose.
3)	Ability to design, implement, verify, validate, measure and maintain a complex software system, process, device or product to meet specific requirements under realistic constraints and conditions; ability to apply modern design methods for this purpose.
4)	Ability to develop, select and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in software engineering applications; ability to use information technologies effectively.
5)	Ability to design, conduct experiments, collect data, analyze and interpret results for the study of complex engineering problems or software engineering research topics.
6)	Ability to work effectively within and multidisciplinary teams; individual study skills.
7)	Ability to communicate effectively orally and in writing; knowledge of at least one foreign language; ability to write effective reports and understand written reports, to prepare design and production reports, to make effective presentations, to give and receive clear and understandable instructions.
8)	Awareness of the necessity of lifelong learning; the ability to access information, to follow developments in science and technology and to renew continuously.
9)	To act in accordance with ethical principles, professional and ethical responsibility; information on the standards used in engineering applications.
10)	Information on business practices such as project management, risk management and change management; awareness of entrepreneurship and innovation; information about sustainable development.
11)	Knowledge of the effects of software engineering practices on health, environment and safety in the universal and social scale and the problems of the era reflected in software engineering; awareness of the legal consequences of software engineering solutions.

Assessment & Grading

Semester Requirements	Number of Activities	Level of Contribution
Midterms	1	% 40
Final	1	% 60
total		% 100
PERCENTAGE OF SEMESTER WORK		% 40
PERCENTAGE OF FINAL WORK		% 60
total		% 100

Workload and ECTS Credit Calculation

Activities	Number of Activities	Preparation for the Activity	Spent for the Activity Itself	Completing the Activity Requirements	Workload
Course Hours	13	0	3		39
Application	13	0	2		26
Study Hours Out of Class	13	0	3		39
Midterms	1	13	2		15
Final	1	23	2		25
Total Workload					144