Course Name 
Calculus II

Code

Semester

Theory
(hour/week) 
Application/Lab
(hour/week) 
Local Credits

ECTS

MATH 154

Spring

2

2

3

6

Prerequisites 


Course Language 
English


Course Type 
Required


Course Level 
First Cycle


Course Coordinator  
Course Lecturer(s)  
Assistant(s) 
Course Objectives  This course is continuation of Calculus I and it aims to provide more insight to advanced mathematical techniques in engineering. 
Course Description 
The students who succeeded in this course;

Course Content  Calculus II provides important tools in understanding functions of several variables and has led to the development of new areas of mathematics. 

Core Courses  
Major Area Courses  
Supportive Courses 
X


Media and Management Skills Courses  
Transferable Skill Courses 
Week  Subjects  Related Preparation 
1  Integration by parts, Integrals of rational functions  Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Ninth Edition. 6.1, 6.2 
2  Integrals of rational functions, Inverse substitutions  Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Ninth Edition. 6.2, 6.3 
3  Inverse substitutions, Improper Integrals  Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Ninth Edition. 6.3, 6.5 
4  Solids of Revolution  Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Ninth Edition. 7.1 
5  Taylor and Maclaurin Series, Applications of Taylor and Maclaurin Series  Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Ninth Edition. 9.6, 9.7 
6  Functions of Several Variables, Limits and continuity  Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Ninth Edition. 12.1, 12.2 
7  Limits and continuity, Partial Derivatives  Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Ninth Edition. 12.2, 12.3 
8  REVIEW FOR MIDTERM EXAM  
9  Gradients and Directional Derivatives, Extreme Values.  Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Ninth Edition. 12.7, 13.1 
10  Extreme Values, Extreme Values of Functions Defined on Restricted Domains  Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Ninth Edition. 13.1, 13.2. 
11  Extreme Values of Functions Defined on Restricted Domains, Lagrange Multipliers.  Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Ninth Edition. 13.2, 13.3 
12  Iteration of Double Integrals in Cartesian Coordinates, Double integrals in Polar Coordinates.  Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Ninth Edition. 14.2, 14.4. 
13  Triple Integrals. Change of Variables in Triple Integrals.  Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Ninth Edition. 14.5, 14.6 
14  Review of the Semester  
15  Review of the Semester  
16  Review of the Semester 
Course Notes/Textbooks  Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Ninth Edition. 
Suggested Readings/Materials  James Stewart, Calculus, Early Transcendentals 7E 
Semester Activities  Number  Weigthing 
Participation  
Laboratory / Application  
Field Work  
Quizzes / Studio Critiques 
4

20

Homework / Assignments 
8

10

Presentation / Jury  
Project  
Seminar / Workshop  
Oral Exams  
Midterm 
1

30

Final Exam 
1

40

Total 
Weighting of Semester Activities on the Final Grade  13 
60 
Weighting of EndofSemester Activities on the Final Grade  1 
40 
Total 
Semester Activities  Number  Duration (Hours)  Workload 

Theoretical Course Hours (Including exam week: 16 x total hours) 
16

4

64

Laboratory / Application Hours (Including exam week: 16 x total hours) 
16


Study Hours Out of Class 
16

3


Field Work  
Quizzes / Studio Critiques 
4

2


Homework / Assignments 
8

1


Presentation / Jury  
Project  
Seminar / Workshop  
Oral Exam  
Midterms 
1

18


Final Exam 
1

28


Total 
174

#

Program Competencies/Outcomes 
* Contribution Level


1 
2 
3 
4 
5 

1  To have adequate knowledge in Mathematics, Science, Computer Science and Software Engineering; to be able to use theoretical and applied information in these areas on complex engineering problems. 
X  
2  To be able to identify, define, formulate, and solve complex Software Engineering problems; to be able to select and apply proper analysis and modeling methods for this purpose. 
X  
3  To be able to design, implement, verify, validate, document, measure and maintain a complex software system, process, or product under realistic constraints and conditions, in such a way as to meet the requirements; ability to apply modern methods for this purpose. 

4  To be able to devise, select, and use modern techniques and tools needed for analysis and solution of complex problems in software engineering applications; to be able to use information technologies effectively. 

5  To be able to design and conduct experiments, gather data, analyze and interpret results for investigating complex Software Engineering problems. 
X  
6  To be able to work effectively in Software Engineering disciplinary and multidisciplinary teams; to be able to work individually. 

7  To be able to communicate effectively in Turkish, both orally and in writing; to be able to author and comprehend written reports, to be able to prepare design and implementation reports, to be able to present effectively, to be able to give and receive clear and comprehensible instructions. 

8  To have knowledge about global and social impact of engineering practices and software applications on health, environment, and safety; to have knowledge about contemporary issues as they pertain to engineering; to be aware of the legal ramifications of Engineering and Software Engineering solutions. 

9  To be aware of ethical behavior, professional and ethical responsibility; to have knowledge about standards utilized in engineering applications. 

10  To have knowledge about industrial practices such as project management, risk management, and change management; to have awareness of entrepreneurship and innovation; to have knowledge about sustainable development. 

11  To be able to collect data in the area of Software Engineering, and to be able to communicate with colleagues in a foreign language. 

12  To be able to speak a second foreign language at a medium level of fluency efficiently. 

13  To recognize the need for lifelong learning; to be able to access information, to be able to stay current with developments in science and technology; to be able to relate the knowledge accumulated throughout the human history to Software Engineering. 
X 
*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest