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Course Description |
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Course Name |
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Calculus I |
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Course Code |
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ENM121 |
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Course Type |
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Compulsory |
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Level of Course |
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First Cycle |
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Year of Study |
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1 |
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Course Semester |
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Fall (16 Weeks) |
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ECTS |
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5 |
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Name of Lecturer(s) |
: |
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Learning Outcomes of the Course |
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To be equipped with basic knowledge of mathematics and their applications making problem solving skills Engineering and Mathematics
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Mode of Delivery |
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Face-to-Face |
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Prerequisites and Co-Prerequisites |
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None |
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Recommended Optional Programme Components |
: |
None |
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Aim(s) of Course |
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To equip students with the knowledge of basic engineering mathematics and applications of this information to teach the Industrial Engineering |
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Course Contents |
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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 |
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Language of Instruction |
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Turkish |
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Work Place |
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Class room |
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Course Outline /Schedule (Weekly) Planned Learning Activities |
| Week | Subject | Student's Preliminary Work | Learning Activities and Teaching Methods |
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1 |
Chapter 1 An overview of Calculus |
Reading the related chapter from text book |
Teaching on board |
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2 |
Chapter 2 Functions, Limits and Continuity |
Reading the related chapter from text book |
Teaching on board |
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3 |
Chapter 2 Functions, Limits and Continuity |
Reading the related chapter from text book |
Teaching on board |
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4 |
Chapter 2 Functions, Limits and Continuity |
Reading the related chapter from text book |
Teaching on board |
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5 |
Chapter 2 Functions, Limits and Continuity |
Reading the related chapter from text book |
Teaching on board |
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6 |
Chapter 3 The Derivative |
Reading the related chapter from text book |
Teaching on board |
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7 |
Midterm exam |
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Classical exam |
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8 |
Chapter 4 Applications of the derivative |
Reading the related chapter from text book |
Teaching on board |
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9 |
Chapter 4 Applications of the derivative |
Reading the related chapter from text book |
Teaching on board |
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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 |
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12 |
Chapter 5 The Definite Integral |
Reading the related chapter from text book |
Teaching on board |
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13 |
Chapter 6 Topics in Differential Calculus |
Reading the related chapter from text book |
Teaching on board |
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14 |
Chapter 6 Topics in Differential Calculus |
Reading the related chapter from text book |
Teaching on board |
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15 |
Chapter 7 Computing antiderivatives: Substitution Method |
Reading the related chapter from text book |
Teaching on board |
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16/17 |
Final exam |
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Classical exam |
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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
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| Required Course Material(s) | |
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Assessment Methods and Assessment Criteria |
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Semester/Year Assessments |
Number |
Contribution Percentage |
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Mid-term Exams (Written, Oral, etc.) |
1 |
90 |
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Homeworks/Projects/Others |
1 |
10 |
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Total |
100 |
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Rate of Semester/Year Assessments to Success |
40 |
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Final Assessments
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100 |
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Rate of Final Assessments to Success
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60 |
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Total |
100 |
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| Contribution of the Course to Key Learning Outcomes |
| # | Key Learning Outcome | Contribution* |
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1 |
Can collect and analyze data required for industrial engineering problems ,develops and evaluates alternative solutions. |
3 |
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2 |
Has sufficient background on topics related to mathematics, physical sciences and industrial engineering. |
5 |
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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 |
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4 |
Gains ability to analyze a service and/or manufacturing system or a process and describes, formulates and solves its problems . |
1 |
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5 |
Gains ability to choose and apply methods and tools for industrial engineering applications. |
0 |
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6 |
Can access information and to search/use databases and other sources for information gathering. |
2 |
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7 |
Works efficiently and takes responsibility both individually and as a member of a multi-disciplinary team. |
3 |
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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 |
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11 |
Has a conscious understanding of professional and ethical responsibilities. |
1 |
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12 |
Uses English skills to follow developments in industrial engineering and to communicate with people in his/her profession. |
2 |
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13 |
Has a necessary consciousness on issues related to job safety and health, legal aspects of environment and engineering practice. |
2 |
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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). |
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| Student Workload - ECTS |
| Works | Number | Time (Hour) | Total Workload (Hour) |
| Course Related Works |
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Class Time (Exam weeks are excluded) |
16 |
3 |
48 |
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Out of Class Study (Preliminary Work, Practice) |
16 |
4 |
64 |
| Assesment Related Works |
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Homeworks, Projects, Others |
1 |
10 |
10 |
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Mid-term Exams (Written, Oral, etc.) |
1 |
2 |
2 |
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Final Exam |
1 |
2 |
2 |
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Total Workload: | 126 |
| Total Workload / 25 (h): | 5.04 |
| ECTS Credit: | 5 |
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