| Course Name |
Calculus I
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|
Code
|
Semester
|
Theory
(hour/week) |
Application/Lab
(hour/week) |
Local Credits
|
ECTS
|
|
MATH 153
|
SPRING
|
2
|
2
|
3
|
6
|
| Prerequisites | None | |||||
| Course Language | English | |||||
| Course Type | Required (Core Course) | |||||
| Course Level | First Cycle | |||||
| Mode of Delivery | ||||||
| Teaching Methods and Techniques of the Course | Discussion Problem Solving Lecture / Presentation | |||||
| National Occupational Classification Code | - | |||||
| Course Coordinator |
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| Course Lecturer(s) |
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| 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 |
-
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Core Courses |
X
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| Major Area Courses |
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| Supportive Courses |
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| Media and Managment Skills Courses |
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| Transferable Skill Courses |
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| Week | Subjects | Required Materials | Learning Outcome |
| 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 to improve reading comprehension skills | Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition , (Pearson, 2018) Section 4.6, 4.8 | - |
| 12 | Extreme value problems to improve reading comprehension skills, 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. |
| Suggested Readings/Materials |
''Calculus Early Transcendentals'' James Stewart Cengage Learning; 7th edition 2010.ISBN-13:978-0538497909 |
| Semester Activities | Number | Weighting | LO1 | LO2 | LO3 | LO4 | LO5 | LO6 | LO7 |
| Quizzes / Studio Critiques | 4 | 20 | X | X | X | X | X | X | X |
| Midterm | 1 | 30 | X | X | X | X | X | X | X |
| Final Exam | 1 | 50 | X | X | X | X | X | X | X |
| Total | 6 | 100 |
| Semester Activities | Number | Duration (Hours) | Workload |
|---|---|---|---|
| Participation | - | - | - |
| Theoretical Course Hours | 16 | 2 | 32 |
| Laboratory / Application Hours | 16 | 2 | 32 |
| Study Hours Out of Class | 14 | 3 | 42 |
| Field Work | - | - | - |
| Quizzes / Studio Critiques | 4 | 6 | 24 |
| Portfolio | - | - | - |
| Homework / Assignments | - | - | - |
| Presentation / Jury | - | - | - |
| Project | - | - | - |
| Seminar / Workshop | - | - | - |
| Oral Exams | - | - | - |
| Midterms | 1 | 20 | 20 |
| Final Exam | 1 | 30 | 30 |
| Total | 180 |
| # | PC Sub | Program Competencies/Outcomes | * Contribution Level | ||||
| 1 | 2 | 3 | 4 | 5 | |||
| 1 |
Engineering Knowledge: Knowledge of mathematics, science, basic engineering, computation, and related engineering discipline-specific topics; the ability to apply this knowledge to solve complex engineering problems. |
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| 1 |
Mathematics |
LO1 LO2 LO3 LO4 LO5 LO6 LO7 | |||||
| 2 |
Science |
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| 3 |
Basic Engineering |
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| 4 |
Computation |
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| 5 |
Related engineering discipline-specific topics |
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| 6 |
The ability to apply this knowledge to solve complex engineering problems |
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| 2 |
Problem Analysis: Ability to identify, formulate and analyze complex engineering problems using basic knowledge of science, mathematics and engineering, and considering the UN Sustainable Development Goals relevant to the problem being addressed. |
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| 3 |
Engineering Design: The ability to devise creative solutions to complex engineering problems; the ability to design complex systems, processes, devices or products to meet current and future needs, considering realistic constraints and conditions. |
||||||
| 1 |
Ability to design creative solutions to complex engineering problems |
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| 2 |
Ability to design complex systems, processes, devices or products to meet current and future needs, considering realistic constraints and conditions |
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| 4 |
Use of Techniques and Tools: Ability to select and use appropriate techniques, resources, and modern engineering and computing tools, including estimation and modeling, for the analysis and solution of complex engineering problems, while recognizing their limitations. |
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| 5 |
Research and Investigation: Ability to use research methods to investigate complex engineering problems, including literature research, designing and conducting experiments, collecting data, and analyzing and interpreting results. |
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| 1 |
Literature research for the study of complex engineering problems |
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| 2 |
Designing experiments |
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| 3 |
Ability to use research methods, including conducting experiments, collecting data. analyzing and interpreting results |
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| 6 |
Global Impact of Engineering Practices: Knowledge of the impacts of engineering practices on society, health and safety, economy, sustainability, and the environment, within the context of the UN Sustainable Development Goals; awareness of the legal implications of engineering solutions. |
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| 1 |
Knowledge of the impacts of engineering practices on society, health and safety, economy, sustainability, and the environment, within the context of the UN Sustainable Development Goals |
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| 2 |
Awareness of the legal implications of engineering solutions |
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| 7 |
Ethical Behavior: Acting in accordance with the principles of the engineering profession, knowledge about ethical responsibility; awareness of being impartial, without discrimination, and being inclusive of diversity. |
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| 1 |
Acting in accordance with the principles of the engineering profession, knowledge about ethical responsibility ethical responsibility |
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| 2 |
Awareness of being impartial and inclusive of diversity, without discriminating on any subject |
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| 8 |
Individual and Teamwork: Ability to work effectively, individually and as a team member or leader on interdisciplinary and multidisciplinary teams (face-to-face, remote or hybrid). |
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| 1 |
Ability to work individually and within the discipline |
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| 2 |
Ability to work effectively as a team member or leader in multidisciplinary teams (face-to-face, remote or hybrid) |
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| 9 |
Verbal and Written Communication: Taking into account the various differences of the target audience (such as education, language, profession) on technical issues. |
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| 1 |
Ability to communicate verbally |
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| 2 |
Ability to communicate effectively in writing |
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| 10 |
Project Management: Knowledge of business practices such as project management and economic feasibility analysis; awareness of entrepreneurship and innovation. |
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| 1 |
Knowledge of business practices such as project management and economic feasibility analysis |
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| 2 |
Awareness of entrepreneurship and innovation |
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| 11 |
Lifelong Learning: Lifelong learning skills that include being able to learn independently and continuously, adapting to new and developing technologies, and thinking questioningly about technological changes. |
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*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest
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