BİLGİ PAKETİ / DERS KATALOĞU
| INFORMATION SYSTEMS ENGINEERING | |||||
|---|---|---|---|---|---|
| Qualification Awarded | Length of Program | Toplam Kredi (AKTS) | Mode of Study | Level of Qualification & Field of Study | |
| Bachelor's (First Cycle) Degree | 4 | 240 | FULL TIME |
TQF, TQF-HE, EQF-LLL, ISCED (2011):Level 6 QF-EHEA:First Cycle TQF-HE, ISCED (1997-2013): 48,52 |
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General Course Description Information
| Course Code: | MATH122 | ||||||||
| Course Name: | MATHEMATICS II | ||||||||
| Course Semester: | Spring | ||||||||
| Course Credits: |
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| Language of instruction: | English | ||||||||
| Condition of Course: | |||||||||
| Does the Course Work Experience Require?: | No | ||||||||
| Course Type : | Zorunlu | ||||||||
| Course Level: |
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| Mode of Delivery: | Face to face | ||||||||
| Name of Coordinator: | Dr. Öğr. Üyesi Şengül ERSOY | ||||||||
| Course Lecturer(s): | Ayşe Yavuz Taşcı | ||||||||
| Course Assistants: |
Objective and Contents of the Course
| Course Objectives: | 1. To provide the concepts and applications of the convergence of improper integrals, sequences and infinite series 2. To provide the knowledge of applications of partial differentiation and multiple integrals 3. To teach how to operate with vectors and vector valued functions. 4. To give an ability to apply knowledge of mathematics on engineering problems |
| Course Content: | Improper integrals, Infinite sequences and series, Vectors in Space, Vector-Valued Functions, Functions of Several Variables and Partial Derivatives , Multiple Integrals. |
Learning Outcomes
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The students who have succeeded in this course;
1) Recognize improper integrals and test if they converge 2) Use various convergence tests (geometric series test, nth term test, integral test, comparison tests, alternating series tests, ratio test, and root test) to determine convergence or divergence of series 3) Represent some functions as power series; apply the ratio and root tests to find the radius of convergence for a power series. 4) Write the equations of lines and planes using appropriate information 5) Have the knowledge about limits and continuity of functions of several variables, partial differentiation, total differential, maxima and minima (with/without constraints) , the Hessian test for local extrema, the method of Lagrange multipliers 6) Evaluate double and triple iterated integrals, express areas and volumes as double and triple integrals |
Ders Akış Planı
| Week | Subject | Related Preparation |
| 1) | Improper Integrals , Sequences, Infinite Series | |
| 2) | The Integral Test, Comparison Tests, The Ratio and Root Tests | |
| 3) | Alterne Seri Testi, Mutlak ve Koşullu Yakınsaklık, Kuvvet Serileri | |
| 4) | Taylor and Maclaurin Series, Convergence of Taylor Series, The Binomial Series and Applications of Taylor Series | |
| 5) | Parameterizations of Plane Curves , Calculus with Parametric Curves, Polar Coordinates, Graphing in Polar Coordinates | |
| 6) | Areas and Lengths in Polar Coordinates, Three-Dimensional Coordinate Systems, Vectors | |
| 7) | The Dot Product, The Cross Product, Lines and Planes in Space | |
| 8) | Curves in Space and Their Tangents, Integrals of Vector Functions; Projectile Motion, Arc Length in Space, Curvature and Normal Vectors of a Curve, Tangential and Normal Components of Acceleration, Velocity and Acceleration in Polar Coordinates | |
| 9) | Functions of Several Variables, Limits and Continuity in Higher Dimensions, Partial Derivatives, The Chain Rule | |
| 10) | Directional Derivatives and Gradient Vectors, Tangent Planes and Differentials | |
| 11) | Extreme Values and Saddle Points, Lagrange Multipliers | |
| 12) | Double and Iterated Integrals over Rectangles, Double Integrals over General Regions | |
| 13) | Area by Double Integration, Double Integrals in Polar Form | |
| 14) | Triple Integrals in Rectangular Coordinates, Triple Integrals in Cylindrical and Spherical Coordinates |
Sources
| Course Notes / Textbooks: | Thomas' Calculus,13th Edition, G. B. Thomas, M. D. Weir, J. R. Hass, Pearson, 2014. |
| References: | 1. Calculus: A Complete Course, 7th Edition, Robert A. Adams and Christopher Essex, Pearson, Canada, 2010. 2. Calculus: A New Horizon, Howard Anton, 6th Edition; John Wiley & Sons, 1999. 3. Calculus: Early Transcendentals, J. Stewart, D. K. Clegg, S. Watson and L. Redlin, 9th Edition, Cengage Learning, 2020. |
Contribution of The Course Unit To The Programme Learning Outcomes
| Course Learning Outcomes | 1 |
2 |
3 |
4 |
5 |
6 |
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| Program Outcomes | ||||||||||||
| 1) An ability to apply knowledge of mathematics, science, and engineering | 1 | 1 | 1 | 1 | 1 | 1 | ||||||
| 2) An ability to design and conduct experiments, as well as to analyze and interpret data | 1 | 1 | ||||||||||
| 3) An ability to design a system, component or process to meet desired needs | 1 | |||||||||||
| 4) Ability to function on multi-disciplinary teams | ||||||||||||
| 5) An ability to identify, formulate, and solve engineering problems | 1 | 1 | 1 | 1 | ||||||||
| 6) An understanding of professional and ethical responsibility | ||||||||||||
| 7) An ability to communicate effectively | ||||||||||||
| 8) The broad education necessary to understand the impact of engineering solutions in a global and societal context | 1 | 1 | 1 | 1 | ||||||||
| 9) A recognition of the need for, and an ability to engage in life-long learning | 1 | 1 | ||||||||||
| 10) A knowledge of contemporary issues | 1 | 1 | ||||||||||
| 11) An ability to use the techniques, skills and modern engineering tools necessary for engineering practice | 1 | 1 | 1 | 1 | 1 | 1 | ||||||
| 12) An ability to apply basic knowledge in database systems, networking, hardware, software, electronics, systems and contemporary topics in the context of Information Systems Engineering | 1 | 1 | 1 | |||||||||
Course - Learning Outcomes
| No Effect | 1 Lowest | 2 Average | 3 Highest |
| Program Outcomes | Level of Contribution | |
| 1) | An ability to apply knowledge of mathematics, science, and engineering | |
| 2) | An ability to design and conduct experiments, as well as to analyze and interpret data | |
| 3) | An ability to design a system, component or process to meet desired needs | |
| 4) | Ability to function on multi-disciplinary teams | |
| 5) | An ability to identify, formulate, and solve engineering problems | |
| 6) | An understanding of professional and ethical responsibility | |
| 7) | An ability to communicate effectively | |
| 8) | The broad education necessary to understand the impact of engineering solutions in a global and societal context | |
| 9) | A recognition of the need for, and an ability to engage in life-long learning | |
| 10) | A knowledge of contemporary issues | |
| 11) | An ability to use the techniques, skills and modern engineering tools necessary for engineering practice | |
| 12) | An ability to apply basic knowledge in database systems, networking, hardware, software, electronics, systems and contemporary topics in the context of Information Systems Engineering |
Learning Activities and Teaching Methods
Assessment & Evaluation Methods of the Course Unit
Assessment & Grading
| Semester Requirements | Number of Activities | Level of Contribution |
| Quizzes | 5 | % 30 |
| Midterms | 1 | % 30 |
| Semester Final Exam | 1 | % 40 |
| Total | % 100 | |
| PERCENTAGE OF SEMESTER WORK | % 60 | |
| PERCENTAGE OF FINAL WORK | % 40 | |
| Total | % 100 | |
Workload & ECTS Credits of The Course Unit
| Aktiviteler | Number of Activities | Duration (Hours) | Workload |
| Course | 14 | 3 | 42 |
| Application | 14 | 2 | 28 |
| Quizzes | 5 | 3 | 15 |
| Midterms | 1 | 25 | 25 |
| Semester Final Exam | 1 | 32 | 32 |
| Total Workload | 142 | ||