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  Course Description
Course Name : Calculus I

Course Code : ENM121

Course Type : Compulsory

Level of Course : First Cycle

Year of Study : 1

Course Semester : Fall (16 Weeks)

ECTS : 5

Name of Lecturer(s) :

Learning Outcomes of the Course : To be equipped with basic knowledge of mathematics and their applications
making problem solving skills
Engineering and Mathematics

Mode of Delivery : Face-to-Face

Prerequisites and Co-Prerequisites : None

Recommended Optional Programme Components : None

Aim(s) of Course : To equip students with the knowledge of basic engineering mathematics and applications of this information to teach the Industrial Engineering

Course Contents : Concept of function, limit, continuity, derivatives, definition of differentials and their geometrical understanding and applications (increasing and decreasing functions, and searching the turning points, maximum and minimum points). Introduction of exponential, logarithmic, hyperbolic and inverse trigonometric functions and their derivatives. Definite integrals and their uses

Language of Instruction : Turkish

Work Place : Class room


  Course Outline /Schedule (Weekly) Planned Learning Activities
Week Subject Student's Preliminary Work Learning Activities and Teaching Methods
1 Chapter 1 An overview of Calculus Reading the related chapter from text book Teaching on board
2 Chapter 2 Functions, Limits and Continuity Reading the related chapter from text book Teaching on board
3 Chapter 2 Functions, Limits and Continuity Reading the related chapter from text book Teaching on board
4 Chapter 2 Functions, Limits and Continuity Reading the related chapter from text book Teaching on board
5 Chapter 2 Functions, Limits and Continuity Reading the related chapter from text book Teaching on board
6 Chapter 3 The Derivative Reading the related chapter from text book Teaching on board
7 Midterm exam Classical exam
8 Chapter 4 Applications of the derivative Reading the related chapter from text book Teaching on board
9 Chapter 4 Applications of the derivative Reading the related chapter from text book Teaching on board
10 Chapter 4 Applications of the derivative Reading the related chapter from text book Teaching on board
11 . Chapter 5 The Definite Integral Reading the related chapter from text book Teaching on board
12 Chapter 5 The Definite Integral Reading the related chapter from text book Teaching on board
13 Chapter 6 Topics in Differential Calculus Reading the related chapter from text book Teaching on board
14 Chapter 6 Topics in Differential Calculus Reading the related chapter from text book Teaching on board
15 Chapter 7 Computing antiderivatives: Substitution Method Reading the related chapter from text book Teaching on board
16/17 Final exam Classical exam


  Required Course Resources
Resource Type Resource Name
Recommended Course Material(s)  RAYMOND A. BARNETT, MICHAEL R. ZIEGLER , KARL E. BYLEEN , CALCULUS FOR BUSINESS, ECONOMICS, LIFE SCIENCES, AND SOCIAL SCIENCES, Twelfth Edition Prentice Hall , 2012
 Thomas´s Calculus Early Transcendentals. Thomas, G.B., Weir, M., Hass, J. Twelfth edition, Pearson Publication, 2010
Required Course Material(s)


  Assessment Methods and Assessment Criteria
Semester/Year Assessments Number Contribution Percentage
    Mid-term Exams (Written, Oral, etc.) 1 90
    Homeworks/Projects/Others 1 10
Total 100
Rate of Semester/Year Assessments to Success 40
 
Final Assessments 100
Rate of Final Assessments to Success 60
Total 100

  Contribution of the Course to Key Learning Outcomes
# Key Learning Outcome Contribution*
1 Can collect and analyze data required for industrial engineering problems ,develops and evaluates alternative solutions. 3
2 Has sufficient background on topics related to mathematics, physical sciences and industrial engineering. 5
3 Gains ability to use the acquired theoretical knowledge on basic sciences and industrial engineering for describing, formulating and solving an industrial engineering problem, and to choose appropriate analytical and modeling methods. 5
4 Gains ability to analyze a service and/or manufacturing system or a process and describes, formulates and solves its problems . 1
5 Gains ability to choose and apply methods and tools for industrial engineering applications. 0
6 Can access information and to search/use databases and other sources for information gathering. 2
7 Works efficiently and takes responsibility both individually and as a member of a multi-disciplinary team. 3
8 Appreciates life time learning; follows scientific and technological developments and renews himself/herself continuously. 2
9 Can use computer software in industrial engineering along with information and communication technologies. 2
10 Can use oral and written communication efficiently. 2
11 Has a conscious understanding of professional and ethical responsibilities. 1
12 Uses English skills to follow developments in industrial engineering and to communicate with people in his/her profession. 2
13 Has a necessary consciousness on issues related to job safety and health, legal aspects of environment and engineering practice. 2
14 Becomes competent on matters related to project management, entrepreneurship, innovation and has knowledge about current matters in industrial engineering. 1
* Contribution levels are between 0 (not) and 5 (maximum).

  Student Workload - ECTS
Works Number Time (Hour) Total Workload (Hour)
Course Related Works
    Class Time (Exam weeks are excluded) 16 3 48
    Out of Class Study (Preliminary Work, Practice) 16 4 64
Assesment Related Works
    Homeworks, Projects, Others 1 10 10
    Mid-term Exams (Written, Oral, etc.) 1 2 2
    Final Exam 1 2 2
Total Workload: 126
Total Workload / 25 (h): 5.04
ECTS Credit: 5