Computer Engineering (English)  
Bachelor  TRNQFHE: Level 6  QFEHEA: First Cycle  EQFLLL: Level 6 
Course Code:  MATH114  
Ders İsmi:  Mathematics II  
Ders Yarıyılı:  Fall  
Ders Kredileri: 


Language of instruction:  EN  
Ders Koşulu: 
MATH113  Mathematics I 

Ders İş Deneyimini Gerektiriyor mu?:  No  
Type of course:  Compulsory  
Course Level: 


Mode of Delivery:  Face to face  
Course Coordinator :  Dr.Öğr.Üyesi MESERET TUBA GÜLPINAR  
Course Lecturer(s): 
Prof. Dr. VASFİ ELDEM Prof. Dr. SEZGİN SEZER Prof. Dr. HASAN ÖZEKES 

Course Assistants: 
Course Objectives:  The aim of this course to gain basic knowladge and abilities about techniques of Integration, improper integrals, infinite sequences and series, convergence tests, power series, radius of convergence and interval of convergence, termbyterm differentiation and integration of power series, vectors in 3space, dot product and cross product of vectors, equations of lines and planes in space, quadratic surfaces, functions of several variables and their limits, continuity and partial derivatives, chain rule, directional derivatives, tangent planes and normal lines, local and absolute extrema, Lagrange multipliers, double and triple integrals, polar coordinates, change of variables, cylindrical and spherical coordinates to the students. 
Course Content:  This course will investigate techniques of Integration, improper integrals, infinite sequences and series, convergence tests, power series, radius of convergence and interval of convergence, termbyterm differentiation and integration of power series, vectors in 3space, dot product and cross product of vectors, equations of lines and planes in space, quadratic surfaces, functions of several variables and their limits, continuity and partial derivatives, chain rule, directional derivatives, tangent planes and normal lines, local and absolute extrema, Lagrange multipliers, double and triple integrals, polar coordinates, change of variables, cylindrical and spherical coordinates. 
The students who have succeeded in this course;

Week  Subject  Related Preparation 
1)  Techniques of Integration  Lecture Notes 
2)  Techniques of Integration  Lecture Notes 
3)  Infinite Sequences and Series  Lecture Notes 
4)  Infinite Sequences and Series  Lecture Notes 
5)  Infinite Sequences and Series  Lecture Notes 
6)  Vectors and Geometry of Space  Lecture Notes 
7)  Vectors and Geometry of Space  Lecture Notes 
8)  Partial Derivatives  Lecture Notes 
9)  
10)  Partial Derivatives  Lecture Notes 
11)  Multiple Integrals  Lecture Notes 
12)  Multiple Integrals  Lecture Notes 
13)  Multiple Integrals  Lecture Notes 
14)  Review  Lecture Notes 
Course Notes / Textbooks:  Thomas’ Calculus, 13th Edition George B. Thomas, Maurice D. Weir, Joel R. Hass Pearson Education Inc. 
References:  A Complete Course Calculus, 8th Edition. Robert A. Adams, Christopher Essex Pearson Canada Inc. ISBN 978: 0321781079 
Ders Öğrenme Kazanımları  1 
2 
3 
4 
5 


Program Outcomes  
1) Sufficient knowledge in mathematics, science and engineering related to their branches; the ability to apply theoretical and practical knowledge in these areas to model and solve engineering problems.  
2) The ability to identify, formulate, and solve complex engineering problems; selecting and applying appropriate analysis and modeling methods for this purpose.  
3) The ability to design a complex system, process, device or product under realistic constraints and conditions to meet specific requirements; the ability to apply modern design methods for this purpose. (Realistic constraints and conditions include such issues as economy, environmental issues, sustainability, manufacturability, ethics, health, safety, social and political issues, according to the nature of design.)  
4) Ability to develop, select and use modern techniques and tools necessary for engineering applications; ability to use information technologies effectively.  
5) Ability to design experiments, conduct experiments, collect data, analyze and interpret results for examination of engineering problems.  
6) The ability to work effectively in disciplinary and multidisciplinary teams; individual work skill.  
7) Effective communication skills in Turkish oral and written communication; at least one foreign language knowledge.  
8) Awareness of the need for lifelong learning; access to knowledge, ability to follow developments in science and technology, and constant selfrenewal.  
9) Professional and ethical responsibility.  
10) Information on project management and practices in business life such as risk management and change management; awareness about entrepreneurship, innovation and sustainable development.  
11) Information on the effects of engineering applications on health, environment and safety in the universal and social dimensions and the problems of the times; awareness of the legal consequences of engineering solutions. 
No Effect  1 Lowest  2 Low  3 Average  4 High  5 Highest 
Program Outcomes  Level of Contribution  
1)  Sufficient knowledge in mathematics, science and engineering related to their branches; the ability to apply theoretical and practical knowledge in these areas to model and solve engineering problems.  
2)  The ability to identify, formulate, and solve complex engineering problems; selecting and applying appropriate analysis and modeling methods for this purpose.  1 
3)  The ability to design a complex system, process, device or product under realistic constraints and conditions to meet specific requirements; the ability to apply modern design methods for this purpose. (Realistic constraints and conditions include such issues as economy, environmental issues, sustainability, manufacturability, ethics, health, safety, social and political issues, according to the nature of design.)  4 
4)  Ability to develop, select and use modern techniques and tools necessary for engineering applications; ability to use information technologies effectively.  2 
5)  Ability to design experiments, conduct experiments, collect data, analyze and interpret results for examination of engineering problems.  
6)  The ability to work effectively in disciplinary and multidisciplinary teams; individual work skill.  5 
7)  Effective communication skills in Turkish oral and written communication; at least one foreign language knowledge.  
8)  Awareness of the need for lifelong learning; access to knowledge, ability to follow developments in science and technology, and constant selfrenewal.  
9)  Professional and ethical responsibility.  
10)  Information on project management and practices in business life such as risk management and change management; awareness about entrepreneurship, innovation and sustainable development.  3 
11)  Information on the effects of engineering applications on health, environment and safety in the universal and social dimensions and the problems of the times; awareness of the legal consequences of engineering solutions. 
Bireysel çalışma ve ödevi  
Okuma  
Homework  
Problem Çözme  
Soru cevap/ Tartışma 
Yazılı Sınav (Açık uçlu sorular, çoktan seçmeli, doğru yanlış, eşleştirme, boşluk doldurma, sıralama)  
Homework 
Semester Requirements  Number of Activities  Level of Contribution 
Homework Assignments  5  % 20 
Midterms  2  % 40 
Final  1  % 40 
total  % 100  
PERCENTAGE OF SEMESTER WORK  % 60  
PERCENTAGE OF FINAL WORK  % 40  
total  % 100 
Activities  Number of Activities  Duration (Hours)  Workload 
Course Hours  15  5  75 
Study Hours Out of Class  15  2  30 
Homework Assignments  5  5  25 
Midterms  2  10  20 
Final  1  15  15 
Total Workload  165 