Course Name | Calculus I |
Code | Semester | Theory (hour/week) | Application/Lab (hour/week) | Local Credits | ECTS |
---|---|---|---|---|---|
MATH 153 | Fall | 2 | 2 | 3 | 6 |
Prerequisites | None | |||||
Course Language | English | |||||
Course Type | Required | |||||
Course Level | First Cycle | |||||
Mode of Delivery | - | |||||
Teaching Methods and Techniques of the Course | DiscussionProblem SolvingLecture / Presentation | |||||
Course Coordinator | ||||||
Course Lecturer(s) | ||||||
Assistant(s) |
Course Objectives | This course aims to built fundamentals of calculus and its applications for engineers |
Learning Outcomes | The students who succeeded in this course;
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Course Description | Calculus I provides important tools in understanding functions of one variable and has led to the development of new areas of mathematics. |
Related Sustainable Development Goals | |
| Core Courses | |
Major Area Courses | ||
Supportive Courses | X | |
Media and Managment Skills Courses | ||
Transferable Skill Courses |
Week | Subjects | Required Materials |
1 | Graphs of quadratic functions, Polynomials and rational functions, the trigonometric functions, examples of velocity, growth rate and area | Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition , (Pearson, 2018)Section P3, P6, P7, 1.1 |
2 | Limits of Functions, limits at infinity and infinite limits | Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition , (Pearson, 2018) Section 1.2, 1.3 |
3 | Continuity, tangent lines and their slopes | Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition , (Pearson, 2018) Section 1.4, 2.1. |
4 | The derivative, differentiation rules, the chain rule, derivatives of trigonometric functions | Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition , (Pearson, 2018) Section 2.2, 2.3,2.4, 2.5. |
5 | Higher-order derivatives, the mean value theorem | Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition , (Pearson, 2018) Section 2.6, 2.8. |
6 | Implicit differentiation, inverse functions, Exponential and logarithmic functions | Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition , (Pearson, 2018)Section 2.9, 3.1, 3.2 |
7 | The natural logarithm and exponential. The inverse trigonometric functions | Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition , (Pearson, 2018) Section 3.3,3.5 |
8 | Midterm | |
9 | Related rates, indeterminate forms | Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition , (Pearson, 2018) Section 4.1, 4.3. |
10 | Extreme values, concavity and inflections | Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition , (Pearson, 2018) Section 4.4, 4.5 |
11 | Sketching the graph of a function, extreme value problems | Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition , (Pearson, 2018) Section 4.6, 4.8 |
12 | Extreme value problems properties of the definite integral.The fundamental theorem of calculus | Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition , (Pearson, 2018) , Section 4.8, 5.4.5,5 |
13 | The method of substitution | Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition , (Pearson, 2018) Section 5.6 |
14 | The method of substitution, areas of plane regions | Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition , (Pearson, 2018)Section 5.6, 5.7 |
15 | Semester review | |
16 | Final exam |
Course Notes/Textbooks | "Calculus, A complete course" by Robert A.Adams & Christopher Essex, Publisher: Prentice Hall, 9th edition,2013. ISBN-13: 978-0134154367.
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Suggested Readings/Materials | ''Calculus, Early Transcendentals'',James Stewart, Cengage Learning; 7th edition, 2010.ISBN-13:978-0538497909 |
Semester Activities | Number | Weighting |
Participation | ||
Laboratory / Application | ||
Field Work | ||
Quizzes / Studio Critiques | 4 | 20 |
Portfolio | ||
Homework / Assignments | ||
Presentation / Jury | ||
Project | ||
Seminar / Workshop | ||
Oral Exam | ||
Midterm | 1 | 30 |
Final Exam | 1 | 50 |
Total |
Weighting of Semester Activities on the Final Grade | 5 | 50 |
Weighting of End-of-Semester Activities on the Final Grade | 1 | 50 |
Total |
Semester Activities | Number | Duration (Hours) | Workload |
---|---|---|---|
Course Hours (Including exam week: 16 x total hours) | 16 | 2 | 32 |
Laboratory / Application Hours (Including exam week: 16 x total hours) | 16 | 2 | |
Study Hours Out of Class | 14 | 3 | 42 |
Field Work | |||
Quizzes / Studio Critiques | 4 | 6 | |
Portfolio | |||
Homework / Assignments | |||
Presentation / Jury | |||
Project | |||
Seminar / Workshop | |||
Oral Exam | |||
Midterms | 1 | 20 | |
Final Exams | 1 | 30 | |
Total | 180 |
# | Program Competencies/Outcomes | * Contribution Level | ||||
1 | 2 | 3 | 4 | 5 | ||
1 | To have adequate knowledge in Mathematics, Science and Industrial Engineering; to be able to use theoretical and applied information in these areas to model and solve Industrial Engineering problems. | X | ||||
2 | To be able to identify, formulate and solve complex Industrial Engineering problems by using state-of-the-art methods, techniques and equipment; to be able to select and apply proper analysis and modeling methods for this purpose. | |||||
3 | To be able to analyze a complex system, process, device or product, and to design with realistic limitations to meet the requirements using modern design techniques. | |||||
4 | To be able to choose and use the required modern techniques and tools for Industrial Engineering applications; to be able to use information technologies efficiently. | |||||
5 | To be able to design and do simulation and/or experiment, collect and analyze data and interpret the results for investigating Industrial Engineering problems and Industrial Engineering related research areas. | |||||
6 | To be able to work efficiently in Industrial Engineering disciplinary and multidisciplinary teams; to be able to work individually. | |||||
7 | To be able to communicate effectively in Turkish, both orally and in writing; to be able to author and comprehend written reports, to be able to prepare design and implementation reports, to present effectively; to be able to give and receive clear and comprehensible instructions | |||||
8 | To have knowledge about contemporary issues and the global and societal effects of Industrial Engineering practices on health, environment, and safety; to be aware of the legal consequences of Industrial Engineering solutions. | |||||
9 | To be aware of professional and ethical responsibility; to have knowledge of the standards used in Industrial Engineering practice. | |||||
10 | To have knowledge about business life practices such as project management, risk management, and change management; to be aware of entrepreneurship and innovation; to have knowledge about sustainable development. | |||||
11 | To be able to collect data in the area of Industrial Engineering; to be able to communicate with colleagues in a foreign language. | |||||
12 | To be able to speak a second foreign at a medium level of fluency efficiently. | |||||
13 | To recognize the need for lifelong learning; to be able to access information, to be able to stay current with developments in science and technology; to be able to relate the knowledge accumulated throughout the human history to Industrial Engineering. |
*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest