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 115  
Course Title in English  Calculus I  
Course Title in Turkish  Diferansiyel ve Integral Hesap I  
Language of Instruction  EN  
Type of Course  Flipped Classroom  
Level of Course  Introductory  
Semester  Fall  
Contact Hours per Week 


Estimated Student Workload  176 hours per semester  
Number of Credits  7 ECTS  
Grading Mode  Standard Letter Grade  
Prerequisites  None  
Corequisites  None  
Expected Prior Knowledge  None  
Registration Restrictions  Only Undergraduate Students  
Overall Educational Objective  To acquire a basic knowledge and understanding of important concepts of differentiation and integration of a single variable.  
Course Description  This course provides a comprehensive introduction to some fundamental aspects of function of a single variable, trigonometric functions, limit, continuity of a function, differentiation of a single variable function, extremum of a function, mean value theorem, L’Hospital’s rule, antiderivative and the indefinite integral, definite integrals, fundamental theorem of calculus, applications of the definite integral, the exponential and logarithmic function, the inverse trigonometric functions, hyperbolic functions and their inverses, integration techniques. 
Course Learning Outcomes and CompetencesUpon successful completion of the course, the learner is expected to be able to:1) Calculate limit at a point and limit at infinity of single variable functions; 2) Solve applied optimization extrema problems and sketch graphs of functions; 3) Evaluate definite and indefinite integrals using integration techniques; 4) Apply definite integrals for calculating arclengths, volumes, area of surface of revolution, center of mass and moments of inertia; 5) Calculate, differentiate and integrate exponential functions, logarithmic functions, trigonometric and inverse trigonometric functions and hyperbolic and inverse hyperbolic functions. 
Program Learning Outcomes/Course Learning Outcomes  1  2  3  4  5 

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,Participation 
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 , December 2018 
Course Coordinator  İLKER ARSLAN 
Semester  Fall 
Name of Instructor  Asst. Prof. Dr. NAMIK KILIÇ 
Week  Subject 
1)  Function of a single variable, trigonometric functions 
2)  Limit and continuity 
3)  The derivative of a function 
4)  Applications of the derivative 
5)  Curve sketching and L’Hospital’s rule 
6)  Antiderivative, the indefinite and definite integral 
7)  The fundamental theorem of calculus 
8)  Applications of definite integrals 
9)  Applications of definite integrals 
10)  Inverse of a function. Transcendental functions: Logarithmic and exponential functions 
11)  Transcendental functions: Inverse trigonometric functions 
12)  Transcendental functions: Hyperbolic and inverse hyperbolic functions 
13)  Integration techniques: Integration by parts, integration by partial fractions 
14)  Integration techniques: Trigonometric integrals, trigonometric substitutions 
15)  Final Exam / Project / Presentation Period 
16)  Final Exam / Project / Presentation Period 
Required/Recommended Readings  Thomas' Calculus, 13th Ed., G. Thomas, M. Weir, J. Hass, F. Giordano, Pearson/ Addison Wesley, 2015  
Teaching Methods  Lectures/contact hours using “flipped classroom” as an active learning technique  
Homework and Projects  Review questions as homework  
Laboratory Work  None  
Computer Use  None  
Other Activities  None  
Assessment Methods 


Course Administration 
cinara@mef.edu.tr (0212) 3953653 Missing a quiz: Provided that proper documents of excuse are presented, each missed quiz by the student will be given a grade by taking the average of all of the other quizzes. No makeup will be given. Missing a midterm: Provided that proper documents of excuse are presented, each missed midterm by the student will be given the 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  20  2  22  
Total Workload  176  
Total Workload/25  7.0  
ECTS  7 