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Course Detail

Course Description

CourseCodeSemesterT+P (Hour)CreditECTS
CALCULUS I-Spring Semester4+046
Course Program
Prerequisites Courses
Recommended Elective Courses
Language of CourseEnglish
Course LevelFirst Cycle (Bachelor's Degree)
Course TypeRequired
Course CoordinatorAssist.Prof. Özge BİÇER ÖDEMİŞ
Name of Lecturer(s)Prof.Dr. Afgan ASLAN
Assistant(s)
AimTo teach fundamental math contents, methods and techniques, and its applications for the study of engineering. To provide supports on studies and researches in the area of engineering.
Course ContentThis course contains; Functions,Functions,Limits and Continuity,Limits and Continuity,Derivatives,Derivatives,Applications of Derivatives,Applications of Derivatives,Integration,Integration,Applications of Definite Integrals,Applications of Definite Integrals,Transcendental Functions,Improper Integrals.
Dersin Öğrenme KazanımlarıTeaching MethodsAssessment Methods
1. Interpret a function of one variable and its graph to solve the limit graphically, numerically and algebraically12, 14, 6, 9A, E
2. Apply the notions of continuity and differentiability to algebraic and transcendental functions.12, 14, 6, 9A, E
3. Compute derivatives of functions by using rules and carry out them in applications such as computing rates of change, finding extreme values, concavity and graphing.12, 14, 6, 9A, E
4. Apply Fundamental Theorem of Calculus and integration techniques to compute proper integrals.12, 14, 6, 9A, E
5. Use integration to compute area between curves and volume of a solid.12, 14, 6, 9A, E
6. Calculate and compare the concept of proper and improper integrals. 12, 14, 6, 9A, E
Teaching Methods:12: Problem Solving Method, 14: Self Study Method, 6: Experiential Learning, 9: Lecture Method
Assessment Methods:A: Traditional Written Exam, E: Homework

Course Outline

OrderSubjectsPreliminary Work
1FunctionsBook chapter 1.1, 1.2, 1.4, 1.5
2FunctionsBook chapter 1.3, 1.6, 11.1,11.2
3Limits and ContinuityBook chapter 2.1, 2.2, 2.3, 2.4
4Limits and ContinuityBook chapter 2.5, 2.6
5DerivativesBook chapter 3.2, 3.3, 3.4
6DerivativesBook chapter 3.5, 3.6, 3.7, 11.2
7Applications of DerivativesBook chapter 4.1, 4.2, 4.3, 4.4
8Applications of DerivativesBook chapter 3.11, 4.4, 4.5
9IntegrationBook chapter 5.1, 5.2, 5.3, 5.4
10IntegrationBook chapter 5.5, 8.1, 8.2, 8.3, 8.4, 8.5
11Applications of Definite IntegralsBook chapter 5.6, 6.1
12Applications of Definite IntegralsBook chapter 6.2, 6.3
13Transcendental FunctionsBook chapter 7.1, 7.2
14Improper IntegralsBook chapter 8.8
Resources
Thomas’ Calculus, 12th ed., G. B. Thomas, Jr. and M. D. Weir and J. Hass, Addison-Wesley

Course Contribution to Program Qualifications

Course Contribution to Program Qualifications
NoProgram QualificationContribution Level
12345
1
Adequate knowledge in mathematics, science and engineering subjects pertaining to the relevant discipline; ability to use theoretical and applied knowledge in these areas in the solution of complex engineering problems.
X
2
Ability to formulate, and solve complex engineering problems; ability to select and apply proper analysis and modeling methods for this purpose.
X
3
Ability to design a complex system, process, device or product under realistic constraints and conditions, in such a way as to meet the desired result; ability to apply modern design methods for this purpose.
X
4
Ability to select and use modern techniques and tools needed for analyzing and solving complex problems encountered in engineering practice; ability to employ information technologies effectively.
5
Ability to design and conduct experiments, gather data, analyze and interpret results for investigating complex engineering problems or discipline specific research questions.
6
Ability to work efficiently in intra-disciplinary and multi-disciplinary teams; ability to work individually.
7
Ability to communicate effectively, both orally and in writing; knowledge of a minimum of one foreign language; ability to write effective reports and comprehend written reports, prepare design and production reports, make effective presentations, and give and receive clear and intelligible instructions.
8
Awareness of the need for lifelong learning; ability to access information, to follow developments in science and technology, and to continue to educate him/herself.
9
Knowledge on behavior according ethical principles, professional and ethical responsibility and standards used in engineering practices.
10
Knowledge about business life practices such as project management, risk management, and change management; awareness in entrepreneurship, innovation; knowledge about sustainable development.
11
Knowledge about the global and social effects of engineering practices on health, environment, and safety, and contemporary issues of the century reflected into the field of engineering; awareness of the legal consequences of engineering solutions.

Assessment Methods

Contribution LevelAbsolute Evaluation
Rate of Midterm Exam to Success 30
Rate of Final Exam to Success 70
Total 100
ECTS / Workload Table
ActivitiesNumber ofDuration(Hour)Total Workload(Hour)
Course Hours14456
Guided Problem Solving14228
Resolution of Homework Problems and Submission as a Report000
Term Project000
Presentation of Project / Seminar000
Quiz000
Midterm Exam14342
General Exam14456
Performance Task, Maintenance Plan000
Total Workload(Hour)182
Dersin AKTS Kredisi = Toplam İş Yükü (Saat)/30*=(182/30)6
ECTS of the course: 30 hours of work is counted as 1 ECTS credit.

Detail Informations of the Course

Course Description

CourseCodeSemesterT+P (Hour)CreditECTS
CALCULUS I-Spring Semester4+046
Course Program
Prerequisites Courses
Recommended Elective Courses
Language of CourseEnglish
Course LevelFirst Cycle (Bachelor's Degree)
Course TypeRequired
Course CoordinatorAssist.Prof. Özge BİÇER ÖDEMİŞ
Name of Lecturer(s)Prof.Dr. Afgan ASLAN
Assistant(s)
AimTo teach fundamental math contents, methods and techniques, and its applications for the study of engineering. To provide supports on studies and researches in the area of engineering.
Course ContentThis course contains; Functions,Functions,Limits and Continuity,Limits and Continuity,Derivatives,Derivatives,Applications of Derivatives,Applications of Derivatives,Integration,Integration,Applications of Definite Integrals,Applications of Definite Integrals,Transcendental Functions,Improper Integrals.
Dersin Öğrenme KazanımlarıTeaching MethodsAssessment Methods
1. Interpret a function of one variable and its graph to solve the limit graphically, numerically and algebraically12, 14, 6, 9A, E
2. Apply the notions of continuity and differentiability to algebraic and transcendental functions.12, 14, 6, 9A, E
3. Compute derivatives of functions by using rules and carry out them in applications such as computing rates of change, finding extreme values, concavity and graphing.12, 14, 6, 9A, E
4. Apply Fundamental Theorem of Calculus and integration techniques to compute proper integrals.12, 14, 6, 9A, E
5. Use integration to compute area between curves and volume of a solid.12, 14, 6, 9A, E
6. Calculate and compare the concept of proper and improper integrals. 12, 14, 6, 9A, E
Teaching Methods:12: Problem Solving Method, 14: Self Study Method, 6: Experiential Learning, 9: Lecture Method
Assessment Methods:A: Traditional Written Exam, E: Homework

Course Outline

OrderSubjectsPreliminary Work
1FunctionsBook chapter 1.1, 1.2, 1.4, 1.5
2FunctionsBook chapter 1.3, 1.6, 11.1,11.2
3Limits and ContinuityBook chapter 2.1, 2.2, 2.3, 2.4
4Limits and ContinuityBook chapter 2.5, 2.6
5DerivativesBook chapter 3.2, 3.3, 3.4
6DerivativesBook chapter 3.5, 3.6, 3.7, 11.2
7Applications of DerivativesBook chapter 4.1, 4.2, 4.3, 4.4
8Applications of DerivativesBook chapter 3.11, 4.4, 4.5
9IntegrationBook chapter 5.1, 5.2, 5.3, 5.4
10IntegrationBook chapter 5.5, 8.1, 8.2, 8.3, 8.4, 8.5
11Applications of Definite IntegralsBook chapter 5.6, 6.1
12Applications of Definite IntegralsBook chapter 6.2, 6.3
13Transcendental FunctionsBook chapter 7.1, 7.2
14Improper IntegralsBook chapter 8.8
Resources
Thomas’ Calculus, 12th ed., G. B. Thomas, Jr. and M. D. Weir and J. Hass, Addison-Wesley

Course Contribution to Program Qualifications

Course Contribution to Program Qualifications
NoProgram QualificationContribution Level
12345
1
Adequate knowledge in mathematics, science and engineering subjects pertaining to the relevant discipline; ability to use theoretical and applied knowledge in these areas in the solution of complex engineering problems.
X
2
Ability to formulate, and solve complex engineering problems; ability to select and apply proper analysis and modeling methods for this purpose.
X
3
Ability to design a complex system, process, device or product under realistic constraints and conditions, in such a way as to meet the desired result; ability to apply modern design methods for this purpose.
X
4
Ability to select and use modern techniques and tools needed for analyzing and solving complex problems encountered in engineering practice; ability to employ information technologies effectively.
5
Ability to design and conduct experiments, gather data, analyze and interpret results for investigating complex engineering problems or discipline specific research questions.
6
Ability to work efficiently in intra-disciplinary and multi-disciplinary teams; ability to work individually.
7
Ability to communicate effectively, both orally and in writing; knowledge of a minimum of one foreign language; ability to write effective reports and comprehend written reports, prepare design and production reports, make effective presentations, and give and receive clear and intelligible instructions.
8
Awareness of the need for lifelong learning; ability to access information, to follow developments in science and technology, and to continue to educate him/herself.
9
Knowledge on behavior according ethical principles, professional and ethical responsibility and standards used in engineering practices.
10
Knowledge about business life practices such as project management, risk management, and change management; awareness in entrepreneurship, innovation; knowledge about sustainable development.
11
Knowledge about the global and social effects of engineering practices on health, environment, and safety, and contemporary issues of the century reflected into the field of engineering; awareness of the legal consequences of engineering solutions.

Assessment Methods

Contribution LevelAbsolute Evaluation
Rate of Midterm Exam to Success 30
Rate of Final Exam to Success 70
Total 100

Numerical Data

Student Success

Ekleme Tarihi: 09/10/2023 - 10:42Son Güncelleme Tarihi: 09/10/2023 - 10:43