COMPUTER ENGINEERING | |||||
Bachelor | TR-NQF-HE: Level 6 | QF-EHEA: First Cycle | EQF-LLL: Level 6 |
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 | ||||||||
Type of course: | Necessary | ||||||||
Course Level: |
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Mode of Delivery: | Face to face | ||||||||
Course Coordinator : | Dr.Öğr.Üyesi Recep DURANAY | ||||||||
Course Lecturer(s): |
Dr.Öğr.Üyesi Recep DURANAY |
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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) PO 1.1) Sufficient knowledge in mathematics, science and computer engineering | ||||||||||||||||
2) PO 1.2) Ability to apply theoretical and applied knowledge in mathematics, science and computer engineering for modeling and solving engineering problems. | ||||||||||||||||
3) PO 2.1) Identifying complex engineering problems | ||||||||||||||||
4) PO 2.2) Defining complex engineering problems | ||||||||||||||||
5) PO 2.3) Formulating complex engineering problems | ||||||||||||||||
6) PO 2.4) Ability to solve complex engineering problems | ||||||||||||||||
7) PO 2.5) Ability to choose and apply appropriate analysis and modeling methods | ||||||||||||||||
8) PO 3.1) Ability to design a complex system, process, device or product to meet specific requirements under realistic constraints and conditions. | ||||||||||||||||
9) PO 3.2) Ability to apply modern design methods under realistic constraints and conditions for a complex system, process, device or product | ||||||||||||||||
10) PO 4.1) Developing modern techniques and tools necessary for the analysis and solution of complex problems encountered in engineering applications | ||||||||||||||||
11) PO 4.2) Ability to select and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in engineering applications | ||||||||||||||||
12) PO 4.3) Ability to use information technologies effectively. | ||||||||||||||||
13) PO 5.1) Examination of complex engineering problems or discipline-specific research topics, designing experiments | ||||||||||||||||
14) PO 5.2) Examination of complex engineering problems or discipline-specific research topics, experimentation | ||||||||||||||||
15) PO 5.3 ) Analysis of complex engineering problems or discipline-specific research topics, data collection | ||||||||||||||||
16) PO 5.4) Analyzing the results of complex engineering problems or discipline-specific research topics | ||||||||||||||||
17) PO 5.5) Examining and interpreting complex engineering problems or discipline-specific research topics |
No Effect | 1 Lowest | 2 Low | 3 Average | 4 High | 5 Highest |
Program Outcomes | Level of Contribution | |
1) | PO 1.1) Sufficient knowledge in mathematics, science and computer engineering | |
2) | PO 1.2) Ability to apply theoretical and applied knowledge in mathematics, science and computer engineering for modeling and solving engineering problems. | |
3) | PO 2.1) Identifying complex engineering problems | 5 |
4) | PO 2.2) Defining complex engineering problems | |
5) | PO 2.3) Formulating complex engineering problems | |
6) | PO 2.4) Ability to solve complex engineering problems | |
7) | PO 2.5) Ability to choose and apply appropriate analysis and modeling methods | |
8) | PO 3.1) Ability to design a complex system, process, device or product to meet specific requirements under realistic constraints and conditions. | |
9) | PO 3.2) Ability to apply modern design methods under realistic constraints and conditions for a complex system, process, device or product | |
10) | PO 4.1) Developing modern techniques and tools necessary for the analysis and solution of complex problems encountered in engineering applications | |
11) | PO 4.2) Ability to select and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in engineering applications | |
12) | PO 4.3) Ability to use information technologies effectively. | |
13) | PO 5.1) Examination of complex engineering problems or discipline-specific research topics, designing experiments | |
14) | PO 5.2) Examination of complex engineering problems or discipline-specific research topics, experimentation | |
15) | PO 5.3 ) Analysis of complex engineering problems or discipline-specific research topics, data collection | |
16) | PO 5.4) Analyzing the results of complex engineering problems or discipline-specific research topics | |
17) | PO 5.5) Examining and interpreting complex engineering problems or discipline-specific research topics |
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 |