COMPUTER ENGINEERING | |||||
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Qualification Awarded | Program Süresi | Toplam Kredi (AKTS) | Öğretim Şekli | Yeterliliğin Düzeyi ve Öğrenme Alanı | |
Bachelor's (First Cycle) Degree | 4 | 240 | FULL TIME |
TYÇ, TR-NQF-HE, EQF-LLL, ISCED (2011):Level 6 QF-EHEA:First Cycle TR-NQF-HE, ISCED (1997-2013): 48,52 |
Course Code: | 1410121006 | ||||||||||
Ders İsmi: | Calculus II | ||||||||||
Ders Yarıyılı: | Spring | ||||||||||
Ders Kredileri: |
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Language of instruction: | TR | ||||||||||
Ders Koşulu: | |||||||||||
Ders İş Deneyimini Gerektiriyor mu?: | No | ||||||||||
Other Recommended Topics for the Course: | |||||||||||
Type of course: | Necessary | ||||||||||
Course Level: |
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Mode of Delivery: | Face to face | ||||||||||
Course Coordinator : | Dr.Öğr.Üyesi Müge ÇERÇİ | ||||||||||
Course Lecturer(s): |
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Course Assistants: |
Course Objectives: | The aim of this course is to enable students to comprehend subjects such as sequences, series, analytic geometry in three-dimensional space, limit in multivariable functions, partial derivatives, multiple integrals, and linear integrals of vector fields and be able to perform related calculations. |
Course Content: | Applications of integrals; volumes of solids of rotation, arc length, areas of surfaces of rotation. Convergence in series. Convergence tests in series. Force, Taylor and Maclaurin series. Analytical geometry in three dimensional space. Multivariable functions, partial derivatives, extreme values. Double integrals. |
The students who have succeeded in this course;
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Week | Subject | Related Preparation |
1) | Antiderivatives The Indefinite Integral Evaluating Sums The Basic Area Problem Some Area Calculation | R. A. Adams and C. Essex, Calculus, 7th Ed., Pearson (2010) |
2) | The Definite Integral Properties of the Definite Integral The Fundamental Theorem of Calculus | R. A. Adams and C. Essex, Calculus, 7th Ed., Pearson (2010) |
3) | The Method of Substitution Areas of Plane Regions Integration by Parts | R. A. Adams and C. Essex, Calculus, 7th Ed., Pearson (2010) |
4) | Integrals of Rational Functions Inverse Substitutions | R. A. Adams and C. Essex, Calculus, 7th Ed., Pearson (2010) |
5) | Improper Integrals Volumes by Slicing-Solids of Revolution | R. A. Adams and C. Essex, Calculus, 7th Ed., Pearson (2010) |
6) | More Volumes by Slicing Arc Length and Surface Area | R. A. Adams and C. Essex, Calculus, 7th Ed., Pearson (2010) |
7) | Sequences and Convergence Infinite Series | R. A. Adams and C. Essex, Calculus, 7th Ed., Pearson (2010) |
8) | midterm | R. A. Adams and C. Essex, Calculus, 7th Ed., Pearson (2010) |
9) | Convergence Tests for Positive Series Absolute and Conditional Convergence | R. A. Adams and C. Essex, Calculus, 7th Ed., Pearson (2010) |
10) | Power Series Taylor and Maclaurin Series | R. A. Adams and C. Essex, Calculus, 7th Ed., Pearson (2010) |
11) | Conics Parametric Curves Smooth Parametric Curves and Their Slopes | R. A. Adams and C. Essex, Calculus, 7th Ed., Pearson (2010) |
12) | Polar Coordinates and Polar Curves Slopes, Areas, and Arc lengths for Polar Curves | R. A. Adams and C. Essex, Calculus, 7th Ed., Pearson (2010) |
13) | Functions of Several Variables Limits and Continuity Partial Derivatives Higher-Order Derivatives | R. A. Adams and C. Essex, Calculus, 7th Ed., Pearson (2010) |
14) | Double Integrals Iteration of Double Integrals in Cartesian Coordinates Improper Integrals and a Mean-Value Theorem Double Integrals in Polar Coordinates | R. A. Adams and C. Essex, Calculus, 7th Ed., Pearson (2010) |
15) | Review for the final exam | - |
16) | final | R. A. Adams and C. Essex, Calculus, 7th Ed., Pearson (2010) |
Course Notes / Textbooks: | R. A. Adams and C. Essex, Calculus, 7th Ed., Pearson (2010) |
References: | R. A. Adams and C. Essex, Calculus, 7th Ed., Pearson (2010) |
Ders Öğrenme Kazanımları | 1 |
2 |
3 |
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Program Outcomes | ||||||||||||||||||||||||||||||
1) 1.1 Sufficient knowledge of subjects such as mathematics and science | ||||||||||||||||||||||||||||||
2) 1.2 Ability to apply theoretical and applied knowledge in mathematics, science and computer engineering for modeling and solving engineering problems. | ||||||||||||||||||||||||||||||
3) 1.3 Ability to use theoretical and applied knowledge in fields such as mathematics and science in complex engineering problems. | ||||||||||||||||||||||||||||||
4) 2.1 Ability to identify, define, formulate and solve complex engineering problems | ||||||||||||||||||||||||||||||
5) 2.2 Ability to select and apply appropriate analysis and modeling methods for this purpose | ||||||||||||||||||||||||||||||
6) 3.1 Ability to design a complex system, process, device or product to meet specific requirements under realistic constraints and conditions | ||||||||||||||||||||||||||||||
7) 3.2 Ability to apply modern design methods for this purpose | ||||||||||||||||||||||||||||||
8) 4.1 Ability to develop, select and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in engineering applications. | ||||||||||||||||||||||||||||||
9) 4.2 Ability to use information technologies effectively | ||||||||||||||||||||||||||||||
10) 5.1 Ability to design experiments to examine complex engineering problems or discipline-specific research issues | ||||||||||||||||||||||||||||||
11) 5.2 Ability to conduct experiments to examine complex engineering problems or discipline-specific research topics | ||||||||||||||||||||||||||||||
12) 5.3 Ability to collect data to examine complex engineering problems or discipline-specific research topics | ||||||||||||||||||||||||||||||
13) 5.4 Ability to analyze and interpret experimental results for the study of complex engineering problems or discipline-specific research issues | ||||||||||||||||||||||||||||||
14) 6.1 Ability to work individually within the discipline | ||||||||||||||||||||||||||||||
15) 6.2 Ability to work effectively in interdisciplinary teams | ||||||||||||||||||||||||||||||
16) 6.3 Ability to work effectively in multidisciplinary teams | ||||||||||||||||||||||||||||||
17) 7.1 Ability to communicate effectively and make presentations both verbally and in Turkish | ||||||||||||||||||||||||||||||
18) 7.2 Knowledge of at least one foreign language | ||||||||||||||||||||||||||||||
19) 7.3 Ability to write effective reports and understand written reports | ||||||||||||||||||||||||||||||
20) 7.4 Ability to prepare design and production reports | ||||||||||||||||||||||||||||||
21) 7.5 Ability to give and receive clear and understandable instructions | ||||||||||||||||||||||||||||||
22) 8.1 Awareness of the necessity of lifelong learning | ||||||||||||||||||||||||||||||
23) 8.2 The ability to access information, follow developments in science and technology and constantly renew oneself | ||||||||||||||||||||||||||||||
24) 9.1 Acting in accordance with ethical principles, awareness of professional and ethical responsibility | ||||||||||||||||||||||||||||||
25) 9.2 Information about standards used in engineering applications | ||||||||||||||||||||||||||||||
26) 10.1 Knowledge of business practices such as project management, risk management and change management | ||||||||||||||||||||||||||||||
27) 10.2 Awareness about entrepreneurship, innovation | ||||||||||||||||||||||||||||||
28) 10.3 Information about sustainable development | ||||||||||||||||||||||||||||||
29) 11.1 Information about the effects of engineering practices on health, environment and security at universal and social dimensions and the problems of the age reflected in the field of engineering | ||||||||||||||||||||||||||||||
30) 11.2 Awareness of the legal consequences of engineering solutions | ||||||||||||||||||||||||||||||
31) 12.1 Having knowledge about discrete mathematics |
No Effect | 1 Lowest | 2 Low | 3 Average | 4 High | 5 Highest |
Program Outcomes | Level of Contribution | |
1) | 1.1 Sufficient knowledge of subjects such as mathematics and science | |
2) | 1.2 Ability to apply theoretical and applied knowledge in mathematics, science and computer engineering for modeling and solving engineering problems. | |
3) | 1.3 Ability to use theoretical and applied knowledge in fields such as mathematics and science in complex engineering problems. | |
4) | 2.1 Ability to identify, define, formulate and solve complex engineering problems | 4 |
5) | 2.2 Ability to select and apply appropriate analysis and modeling methods for this purpose | |
6) | 3.1 Ability to design a complex system, process, device or product to meet specific requirements under realistic constraints and conditions | |
7) | 3.2 Ability to apply modern design methods for this purpose | |
8) | 4.1 Ability to develop, select and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in engineering applications. | |
9) | 4.2 Ability to use information technologies effectively | |
10) | 5.1 Ability to design experiments to examine complex engineering problems or discipline-specific research issues | |
11) | 5.2 Ability to conduct experiments to examine complex engineering problems or discipline-specific research topics | |
12) | 5.3 Ability to collect data to examine complex engineering problems or discipline-specific research topics | |
13) | 5.4 Ability to analyze and interpret experimental results for the study of complex engineering problems or discipline-specific research issues | |
14) | 6.1 Ability to work individually within the discipline | |
15) | 6.2 Ability to work effectively in interdisciplinary teams | |
16) | 6.3 Ability to work effectively in multidisciplinary teams | |
17) | 7.1 Ability to communicate effectively and make presentations both verbally and in Turkish | |
18) | 7.2 Knowledge of at least one foreign language | |
19) | 7.3 Ability to write effective reports and understand written reports | |
20) | 7.4 Ability to prepare design and production reports | |
21) | 7.5 Ability to give and receive clear and understandable instructions | |
22) | 8.1 Awareness of the necessity of lifelong learning | |
23) | 8.2 The ability to access information, follow developments in science and technology and constantly renew oneself | |
24) | 9.1 Acting in accordance with ethical principles, awareness of professional and ethical responsibility | |
25) | 9.2 Information about standards used in engineering applications | |
26) | 10.1 Knowledge of business practices such as project management, risk management and change management | |
27) | 10.2 Awareness about entrepreneurship, innovation | |
28) | 10.3 Information about sustainable development | |
29) | 11.1 Information about the effects of engineering practices on health, environment and security at universal and social dimensions and the problems of the age reflected in the field of engineering | |
30) | 11.2 Awareness of the legal consequences of engineering solutions | |
31) | 12.1 Having knowledge about discrete mathematics |
Yazılı Sınav (Açık uçlu sorular, çoktan seçmeli, doğru yanlış, eşleştirme, boşluk doldurma, sıralama) | |
Homework | |
Uygulama |
Semester Requirements | Number of Activities | Level of Contribution |
Quizzes | 4 | % 20 |
Midterms | 1 | % 30 |
Semester Final Exam | 1 | % 50 |
total | % 100 | |
PERCENTAGE OF SEMESTER WORK | % 50 | |
PERCENTAGE OF FINAL WORK | % 50 | |
total | % 100 |
Activities | Number of Activities | Duration (Hours) | Workload |
Course Hours | 14 | 4 | 56 |
Study Hours Out of Class | 14 | 6 | 84 |
Homework Assignments | 10 | 3 | 30 |
Midterms | 1 | 2 | 2 |
Final | 1 | 3 | 3 |
Total Workload | 175 |