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. 
Learning Outcomes 
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  
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 Textbooks  Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Ninth Edition. 
References  James Stewart, Calculus, Early Transcendentals 7E 
Semester Requirements  Number  Percentage 
Participation  
Laboratory / Application  
Field Work  
Quizzes / Studio Critiques 
4

20

Homework / Assignments 
8

10

Presentation / Jury  
Project  
Seminar / Workshop  
Portfolios  
Midterms / Oral Exams 
1

30

Final / Oral Exam 
1

40

Total 
Contribution of Semester Work to Final Grade  13 
60 
Contribution of Final Work to Final Grade  1 
40 
Total 
Activities  Number  Duration (Hours)  Workload 

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  
Portfolios  
Midterms / Oral Exams 
1

18


Final / Oral Exam 
1

28


Total 
174

#

Program Qualifications / Outcomes 
* Level of Contribution


1 
2 
3 
4 
5 

1  To have sufficient background in Mathematics, Basic sciences and Biomedical Engineering areas and the skill to use this theoretical and practical background in the problems of the Biomedical Engineering. 

2  To identify, formulate and solve Biomedical Engineeringrelated problems by using stateoftheart methods, techniques and equipment; to select and apply appropriate analysis and modeling methods for this purpose. 

3  To analyze a complex system, system components or process, and to design with realistic limitations to meet the requirements using modern design techniques; to apply modern design techniques for this purpose. 

4  To choose and use the required modern techniques and tools for analysis and solution of complex problems in Biomedical Engineering applications; to skillfully use information technologies. 

5  To design and do simulation and/or experiment, collect and analyze data and interpret results for studying complex engineering problems or research topics of the discipline. 

6  To efficiently participate in intradisciplinary and multidisciplinary teams; to work independently. 

7  To communicate both in oral and written form in Turkish; to have knowledge of at least one foreign language; to have the skill to write and understand reports, prepare design and production reports, present, give and receive clear instructions. 

8  To recognize the need for lifelong learning; ability to access information, to follow developments in science and technology, and to continue to educate him/herself. 

9  To behave ethically, to be aware of professional and ethical responsibilities; to have knowledge about the standards in Biomedical Engineering applications. 

10  To have information about business life practices such as project management, risk management, and change management; awareness of entrepreneurship, innovation, and sustainable development. 

11  To have knowledge about contemporary issues and the global and societal effects of engineering practices on health, environment, and safety; awareness of the legal consequences of Biomedical Engineering solutions. 
*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest