SOFTWARE ENGINEERING
Bachelor	TR-NQF-HE: Level 6	QF-EHEA: First Cycle	EQF-LLL: Level 6

Course Introduction and Application Information

Course Code	Course Name	Semester	Theoretical	Practical	Credit	ECTS
MAT1052	Calculus II	Spring	3	2	4	7

This catalog is for information purposes. Course status is determined by the relevant department at the beginning of semester.

Basic information

Language of instruction:	English
Type of course:
Course Level:	Bachelor’s Degree (First Cycle)
Mode of Delivery:	Face to face
Course Coordinator :	Assist. Prof. TÜRKAN YELİZ GÖKÇER ELLİDOKUZ
Course Lecturer(s):	Prof. Dr. SÜREYYA AKYÜZ Prof. Dr. İRİNİ DİMİTRİYADİS Prof. Dr. ENGİN HALİLOĞLU Assist. Prof. DUYGU ÜÇÜNCÜ Assist. Prof. LAVDİE RADA ÜLGEN RA AYSUN SOYSAL Assist. Prof. MÜRÜVVET ASLI AYDIN Prof. Dr. HALE GONCE KÖÇKEN Prof. Dr. MURAT SARI Assoc. Prof. DOĞAN AKCAN
Recommended Optional Program Components:	None
Course Objectives:	Gain proficiency in multivariable calculus to formulate and solve problems, and to communicate solutions to others. The course will provide students with a thorough understanding of the improper integral, sequences and series, functions of several variables, differentiation of functions of several variables, optimizing functions of several variables, integrating functions of several variables, and the polar coordinate system.

Learning Outcomes

The students who have succeeded in this course;
1) Determine the convergence and divergence of an improper integral
2) Define and determine the convergence/divergence of a sequence and use appropriate convergence tests to determine the convergence/divergence of a series
3) Find power series representations of functions, and approximate functions via Taylor polynomials
4) Find the domain and range of a function of several variables, and draw graphs of functions of several variables
5) Define vectors and operations on vectors
6) Compute partial derivatives, directional derivatives, and write equations of tangent planes to surfaces
7) Find and classify critical points of functions, and optimize functions in several variables
8) Evaluate double integrals in Cartesian and polar coordinates

Course Content

The teaching methods of the course are in the form of exposition and problem-solving. The topics covered in the course can be listed as follows: L'Hôpital's Rule and improper integrals. Sequences, infinite series, divergence and integral tests, ratio, root, comparison and alternating series tests. Power series, Taylor series. Vectors, dot product, cross product, planes and surfaces. Functions of several variables, partial derivatives, chain rule, directional derivatives, gradient, tangent planes. Maximum and minimum values problems, Lagrange multipliers. Double Integrals in Cartesian and polar coordinates.

Weekly Detailed Course Contents

Week	Subject	Related Preparation
1)	L'Hôpital's Rule, Improper Integrals
2)	Sequences, Infinite Series
3)	Geometric Series, Divergence and Integral Tests
4)	Ratio Test, Root Test, Comparison Test, Alternating Series Test
5)	Power Series, Taylor Series
6)	Taylor Series, Vectors, Dot Product
7)	Cross Products, Planes and Surfaces
8)	Planes and Surfaces, Level Curves, Functions in Several Variables
9)	Partial Derivatives, Chain Rule
10)	Directional Derivatives, Gradient, Tangent Planes
11)	Maximum and Minimum Problems
12)	Maximum and Minimum Problems, Lagrange Multipliers
13)	Double Integrals Over Rectangular and General Regions
14)	Double Integrals in Polar Coordinates

Sources

Course Notes / Textbooks:	Thomas' Calculus International Edition 12th Edition George Thomas, Maurice Weir, Joel Hass, Frank Giordano
References:	Calculus, Early Transcendentals, Metric Version, 8th Edition, by James Stewart, Cengage Learning. 2015 C.H. Edwards, Jr. David E. Penney, Calculus with Analytic Geometry Richard Silverman, Calculus with Analytic Geometry, Prentice Hall

Evaluation System

Semester Requirements	Number of Activities	Level of Contribution
Quizzes	4	% 24
Midterms	1	% 36
Final	1	% 40
Total		% 100
PERCENTAGE OF SEMESTER WORK		% 60
PERCENTAGE OF FINAL WORK		% 40
Total		% 100

ECTS / Workload Table

Activities	Number of Activities	Duration (Hours)	Workload
Course Hours	14	3	42
Application	14	2	28
Study Hours Out of Class	14	4	56
Quizzes	4	2	8
Midterms	1	17	17
Final	1	22	22
Total Workload			173

Contribution of Learning Outcomes to Programme Outcomes

No Effect	1 Lowest	2 Low	3 Average	4 High	5 Highest

	Program Outcomes	Level of Contribution
1)	Be able to specify functional and non-functional attributes of software projects, processes and products.	4
2)	Be able to design software architecture, components, interfaces and subcomponents of a system for complex engineering problems.	1
3)	Be able to develop a complex software system with in terms of code development, verification, testing and debugging.
4)	Be able to verify software by testing its program behavior through expected results for a complex engineering problem.
5)	Be able to maintain a complex software system due to working environment changes, new user demands and software errors that occur during operation.	2
6)	Be able to monitor and control changes in the complex software system, to integrate the software with other systems, and to plan and manage new releases systematically.	1
7)	Be able to identify, evaluate, measure, manage and apply complex software system life cycle processes in software development by working within and interdisciplinary teams.	2
8)	Be able to use various tools and methods to collect software requirements, design, develop, test and maintain software under realistic constraints and conditions in complex engineering problems.	1
9)	Be able to define basic quality metrics, apply software life cycle processes, measure software quality, identify quality model characteristics, apply standards and be able to use them to analyze, design, develop, verify and test complex software system.	1
10)	Be able to gain technical information about other disciplines such as sustainable development that have common boundaries with software engineering such as mathematics, science, computer engineering, industrial engineering, systems engineering, economics, management and be able to create innovative ideas in entrepreneurship activities.	5
11)	Be able to grasp software engineering culture and concept of ethics and have the basic information of applying them in the software engineering and learn and successfully apply necessary technical skills through professional life.
12)	Be able to write active reports using foreign languages and Turkish, understand written reports, prepare design and production reports, make effective presentations, give clear and understandable instructions.
13)	Be able to have knowledge about the effects of engineering applications on health, environment and security in universal and societal dimensions and the problems of engineering in the era and the legal consequences of engineering solutions.