COMPUTER ENGINEERING | |||||
Bachelor | TR-NQF-HE: Level 6 | QF-EHEA: First Cycle | EQF-LLL: Level 6 |
Course Code: | MAT1052 | ||||||||
Ders İsmi: | Calculus II | ||||||||
Ders Yarıyılı: | Spring | ||||||||
Ders Kredileri: |
|
||||||||
Language of instruction: | English | ||||||||
Ders Koşulu: | |||||||||
Ders İş Deneyimini Gerektiriyor mu?: | No | ||||||||
Type of course: | Must Course | ||||||||
Course Level: |
|
||||||||
Mode of Delivery: | Face to face | ||||||||
Course Coordinator : | Dr. Öğr. Üyesi GÜLSEMAY YİĞİT | ||||||||
Course Lecturer(s): | |||||||||
Course Assistants: |
Course Objectives: | The objective of the course is to give to the students an understanding of the integral and its applications as well as introducing them to sequences and series so as to improve their ability to think critically, and enrich the tools they can use in analyzing and solving problems. |
Course Content: | Definite integral, fundemantal theorem, indefinite integral and techniques of integration, application of the integral, areas, arc length, volumes and area of surfaces of revolution, numerical integration and improper integrals. Sequences and series, convergence tests of series, alternating series, power series, Taylon, MacLaurin series and their applications. Finding limit, continuity, partial derivatives, tangent surfaces and normal lines in multivariable functions. Calculating double integrals in multivariable functions, changing the integral sequence, finding a volume limited to a region determined under a surface |
The students who have succeeded in this course;
|
Week | Subject | Related Preparation |
1) | Antiderivatives, Estimating areas with finite sums.Riemann sum, upper and lower sums. | |
2) | Definite Integral. The Fundamental Theorem of Calculus. Properties of the definite integral. | |
3) | Indefinite integral, substitution rule. Area Between Curves. | |
4) | Basic Integration Formulas and integration by parts. Integrals of logaritmic and exponential functions. Integration of Rational Functions | |
5) | Trigonometric Integrals,Trigonometric substitution and additional methods of integration. Improper Integrals, | |
6) | Applications of Integrations, Volumes of Solids Revolution. | |
7) | Arc Length and Surface Area, Sequences and Convergence | |
8) | Review for Midterm | |
9) | Infinite Series, Convergence Tests for Positive Series, Integral Test , comparison ratio and root tests. | |
10) | Alternating Series, Absolute and Conditional Convergence, Power Series | |
11) | Taylor and Maclaurin Series, Convergence of Taylor Series; error estimates, applications of power series. | |
12) | Functions of Several Variables, Level Curves, Limits and Continuity, Partial Derivative, Higher Order Derivatives | |
13) | Multiple Integration, Double Integrals, Iteration of Double Integrals in Cartesian Coordinates, Improper Integrals and a Mean Value Theorem | |
14) | Review for Final Exam |
Course Notes / Textbooks: | Thomas' Calculus International Edition 12th Edition George Thomas, Maurice Weir, Joel Hass, Frank Giordano |
References: | James Stewart Calculus, 5th Ed. Brooks/Cole Publishing Company C.H. Edwards,Jr. David E. Penney, Calculus with Analytic Geometry Richard Silverman, Calculus with Analytic Geometry, Prentice Hall |
Ders Öğrenme Kazanımları | ||||||||||
---|---|---|---|---|---|---|---|---|---|---|
Program Outcomes | ||||||||||
1) Adequate knowledge in mathematics, science and computer engineering; the ability to use theoretical and practical knowledge in these areas in complex engineering problems. | ||||||||||
2) Ability to identify, formulate, and solve complex engineering problems; ability to select and apply appropriate analysis and modeling methods for this purpose. | ||||||||||
3) Ability to design a complex system, process, device or product to meet specific requirements under realistic constraints and conditions; ability to apply modern design methods for this purpose. | ||||||||||
4) Ability to develop, select and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in computer engineering applications; ability to use information technologies effectively. | ||||||||||
5) Ability to design, conduct experiments, collect data, analyze and interpret results for the study of complex engineering problems or computer engineering research topics. | ||||||||||
6) Ability to work effectively within and multi-disciplinary teams; individual study skills. | ||||||||||
7) Ability to communicate effectively in verbal and written Turkish; knowledge of at least one foreign language; ability to write active reports and understand written reports, to prepare design and production reports, to make effective presentations, to give and receive clear and understandable instructions. | ||||||||||
8) Awareness of the necessity of lifelong learning; ability to access information, to follow developments in science and technology and to renew continuously. | ||||||||||
9) To act in accordance with ethical principles, professional and ethical responsibility; information on the standards used in engineering applications. | ||||||||||
10) Information on business practices such as project management, risk management and change management; awareness of entrepreneurship and innovation; information about sustainable development. | ||||||||||
11) Knowledge of the effects of engineering practices on health, environment and safety in the universal and social scale and the problems of the era reflected in engineering; awareness of the legal consequences of engineering solutions. |
No Effect | 1 Lowest | 2 Low | 3 Average | 4 High | 5 Highest |
Program Outcomes | Level of Contribution | |
1) | Adequate knowledge in mathematics, science and computer engineering; the ability to use theoretical and practical knowledge in these areas in complex engineering problems. | 5 |
2) | Ability to identify, formulate, and solve complex engineering problems; ability to select and apply appropriate analysis and modeling methods for this purpose. | 5 |
3) | Ability to design a complex system, process, device or product to meet specific requirements under realistic constraints and conditions; ability to apply modern design methods for this purpose. | |
4) | Ability to develop, select and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in computer engineering applications; ability to use information technologies effectively. | |
5) | Ability to design, conduct experiments, collect data, analyze and interpret results for the study of complex engineering problems or computer engineering research topics. | |
6) | Ability to work effectively within and multi-disciplinary teams; individual study skills. | |
7) | Ability to communicate effectively in verbal and written Turkish; knowledge of at least one foreign language; ability to write active reports and understand written reports, to prepare design and production reports, to make effective presentations, to give and receive clear and understandable instructions. | |
8) | Awareness of the necessity of lifelong learning; ability to access information, to follow developments in science and technology and to renew continuously. | |
9) | To act in accordance with ethical principles, professional and ethical responsibility; information on the standards used in engineering applications. | |
10) | Information on business practices such as project management, risk management and change management; awareness of entrepreneurship and innovation; information about sustainable development. | |
11) | Knowledge of the effects of engineering practices on health, environment and safety in the universal and social scale and the problems of the era reflected in engineering; awareness of the legal consequences of engineering solutions. |
Semester Requirements | Number of Activities | Level of Contribution |
Midterms | 1 | % 40 |
Final | 1 | % 60 |
Total | % 100 | |
PERCENTAGE OF SEMESTER WORK | % 40 | |
PERCENTAGE OF FINAL WORK | % 60 | |
Total | % 100 |
Activities | Number of Activities | Duration (Hours) | Workload |
Course Hours | 14 | 3 | 42 |
Application | 14 | 2 | 28 |
Study Hours Out of Class | 47 | 1 | 47 |
Midterms | 1 | 15 | 15 |
Final | 1 | 25 | 25 |
Total Workload | 157 |