Civil Engineering  
Bachelor  Length of the Programme: 4  Number of Credits: 240  TRNQFHE: Level 6  QFEHEA: First Cycle  EQF: Level 6 
School/Faculty/Institute  Faculty of Engineering  
Course Code  MATH 116  
Course Title in English  Calculus II  
Course Title in Turkish  Diferansiyel ve İntegral Hesap II  
Language of Instruction  EN  
Type of Course  Exercise,Flipped Classroom,Lecture  
Level of Course  Introductory  
Semester  Spring,Fall  
Contact Hours per Week 


Estimated Student Workload  178 hours per semester  
Number of Credits  7 ECTS  
Grading Mode  Standard Letter Grade  
Prerequisites 
MATH 105  Calculus I  MATH 115  Calculus I 

Corequisites  None  
Expected Prior Knowledge  Differentiation and integration of real valued function of a single variable.  
Registration Restrictions  Only undergraduate students  
Overall Educational Objective  To learn the differentiation of multivariable functions and multiple integration.  
Course Description  Polar coordinates, analytical geometry, infinite sequences and series, Taylor’s series, vectors, multivariable functions, partial derivatives and their applications, the gradient and directional derivative, extrema of functions of two variables, multiple integrals and their applications. 
Course Learning Outcomes and CompetencesUpon successful completion of the course, the learner is expected to be able to:1) Expand a function in a Taylor series about a point; 2) Use polar coordinates and classify conic sections; 3) Identify and use vector operations; 4) Calculate and differentiate multivariable functions; 5) identify local minima, local maxima and saddle points of a function of two variables; 6) Evaluate double and triple integrals. 
Program Learning Outcomes/Course Learning Outcomes  1  2  3  4  5  6 

1) An ability to identify, formulate, and solve complex engineering problems by applying principles of engineering, science, and mathematics  
2) An ability to apply engineering design to produce solutions that meet specified needs with consideration of public health, safety, and welfare, as well as global, cultural, social, environmental, and economic factors  
3) An ability to communicate effectively with a range of audiences  
4) An ability to recognize ethical and professional responsibilities in engineering situations and make informed judgments, which must consider the impact of engineering solutions in global, economic, environmental, and societal contexts  
5) An ability to function effectively on a team whose members together provide leadership, create a collaborative and inclusive environment, establish goals, plan tasks, and meet objectives  
6) An ability to develop and conduct appropriate experimentation, analyze and interpret data, and use engineering judgment to draw conclusions  
7) An ability to acquire and apply new knowledge as needed, using appropriate learning strategies 
N None  S Supportive  H Highly Related 
Program Outcomes and Competences  Level  Assessed by  
1)  An ability to identify, formulate, and solve complex engineering problems by applying principles of engineering, science, and mathematics  H  Exam 
2)  An ability to apply engineering design to produce solutions that meet specified needs with consideration of public health, safety, and welfare, as well as global, cultural, social, environmental, and economic factors  N  
3)  An ability to communicate effectively with a range of audiences  N  
4)  An ability to recognize ethical and professional responsibilities in engineering situations and make informed judgments, which must consider the impact of engineering solutions in global, economic, environmental, and societal contexts  N  
5)  An ability to function effectively on a team whose members together provide leadership, create a collaborative and inclusive environment, establish goals, plan tasks, and meet objectives  N  
6)  An ability to develop and conduct appropriate experimentation, analyze and interpret data, and use engineering judgment to draw conclusions  N  
7)  An ability to acquire and apply new knowledge as needed, using appropriate learning strategies  N 
Prepared by and Date  CANFUAD DELALE , May 2018 
Course Coordinator  İLKER ARSLAN 
Semester  Spring,Fall 
Name of Instructor  Asst. Prof. Dr. İLKER ARSLAN 
Week  Subject 
1)  Polar coordinates and analytical geometry 
2)  Polar coordinates and analytical geometry 
3)  Infinite sequences and series 
4)  Infinite sequences and series 
5)  Vectors 
6)  Vector algebra 
7)  Geometric applications: Equations of planes and lines in space 
8)  Multivariable functions, partial derivatives 
9)  Partial derivatives and their applications 
10)  Partial derivatives and their applications 
11)  The Gradient and Directional Derivative 
12)  Extrema of a function of two variables 
13)  Multiple integrals and their applications 
14)  Multiple integrals and their applications 
15)  Final Exam / Project / Presentation Period 
16)  Final Exam / Project / Presentation Period 
Required/Recommended Readings  Thomas' Calculus, 12th Ed., G. Thomas, M. Weir, J. Hass, F. Giordano, Pearson/ Addison Wesley, 2010.  
Teaching Methods  Lectures/contact hours using “flipped classroom” as an active learning technique  
Homework and Projects  None  
Laboratory Work  None  
Computer Use  None  
Other Activities  None  
Assessment Methods 


Course Administration 
canfuad.delale@mef.edu.tr 02123953651 Missing a quiz: Provided that proper documents of excuse are presented, for each missed quiz the student will get the grade of the other quiz. No makeup will be given. Missing a midterm: Provided that proper documents of excuse are presented, for each missed midterm the student will get the same grade of the final exam. No makeup will be given. Missing a final: Faculty regulations. A reminder of proper classroom behavior, code of student conduct: YÖK Regulations Statement on plagiarism: YÖK Regulations 
Activity  No/Weeks  Hours  Calculation  
No/Weeks per Semester  Preparing for the Activity  Spent in the Activity Itself  Completing the Activity Requirements  
Course Hours  14  2  4  2  112  
Quiz(zes)  2  6  1  14  
Midterm(s)  2  12  2  28  
Final Examination  1  22  2  24  
Total Workload  178  
Total Workload/25  7.1  
ECTS  7 