| Management Information Systems | |||||
| Bachelor | TR-NQF-HE: Level 6 | QF-EHEA: First Cycle | EQF-LLL: Level 6 | ||
| Course Code: | YBS102 | ||||
| Course Name: | Mathematics for Data Science 2 | ||||
| Semester: | Spring | ||||
| Course Credits: |
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| Language of instruction: | Turkish | ||||
| Course Condition: | |||||
| Does the Course Require Work Experience?: | No | ||||
| Type of course: | Compulsory Courses | ||||
| Course Level: |
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| Mode of Delivery: | Face to face | ||||
| Course Coordinator: | Doç. Dr. ŞEBNEM ÖZDEMİR | ||||
| Course Lecturer(s): |
Dr. Öğr. Üy. KADER ŞİMŞİR ACAR Dr. Öğr. Üy. NADİ SERHAN AYDIN |
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| Course Assistants: |
| Course Objectives: | 1. To provide the concepts of functions, limits, continuity, differentiation and integration. 2. To provide the applications of differentiation and integration 3. To give an ability to apply knowledge of mathematics on engineering problems |
| Course Content: | Preliminaries: Real Numbers and the Real Line, Lines, Circles,and Parabolas, Functions and Their Graphs, Identifying Functions; Mathematical Models, Combining Functions; Shifting and Scaling Graphs, Trigonometric Functions. Limits and Continuity: Rates of Change and Limits, Calculating Limits Using the Limits Law, The Precise Definition of a Limit, One-Sided Limitsa and Limits at Infinity, Infinite Limits and Vertical Asymptotes, Continuity, Tangents and Derivatives Differentiation: The Derivative as a Function, Differentiation Rules, The Derivative as a Rate of Change, Derivatives of Trigonometric Functions, The Chain Rule and Parametric Equations, Implicit Diff. Applications of Derivatives: Extreme Values of Functions, The Mean Value Theorem, Monotonic Functions and the First Derivative Test, Concavity and Curve Sketching, Applied Optimization Problems, Indeterminate Forms and L’Hopital’s Rule, Integration: Estimating with Finite Sums, Sigma Notation and Limits of Finite Sums, The Definite Integral, The Fundamental Theorem of Calculus, Indefinite Integrals and the Substitution Rule, Substitution and Area Between Curves |
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The students who have succeeded in this course;
1) Compute the limit of various functions, use the concepts of the continuity, use the rules of differentiation 2) Sketch the graph of a function using asymptotes, critical points and the derivative test for increasing/decreasing and concavity properties. 3) Set up max/min problems and use differentiation to solve them. 4) Evaluate integrals by using the definition of definite integral and apply integration to compute areas. |
| Week | Subject | Related Preparation |
| 1) | The Indefinite Integral | |
| 2) | Integration Rules | |
| 3) | Integration By Substitution | |
| 4) | The Definite Integral and the Fundamental Theorem of Calculus | |
| 5) | Area Between Curves and Average Value | |
| 6) | Integration by Partial Fractions and Integration by Parts | |
| 7) | Functions of Several Variables, Partial Derivatives | |
| 8) | Midterm Exams | |
| 9) | Maxima and Minima, Lagrange Multipliers | |
| 10) | Sequences | |
| 11) | Series | |
| 12) | Systems of Linear Equations in Two Variables | |
| 13) | Systems of Linear Equations and Augmented Matrices | |
| 14) | Gauss-Jordan Elimination and Matrices (Basic Operations) | |
| 15) | Determinants and The Inverse of a Matrix | |
| 16) | Final Exams |
| Course Notes / Textbooks: | 1) Calculus, Early Transcendentals, 7th Edition, by J. Stewart, 2008, Brook/Cole 2) Thomas’ Calculus, 11th Edition, G.B Thomas, M.D.Weir, J.Hass and F.R.Giordano, Addison-Wesley,2005. |
| References: | Ders Notları Lecturer's handouts |
| Course Learning Outcomes | 1 |
2 |
3 |
4 |
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| Program Outcomes | |||||||||||||
| 1) It has a wide range of interdisciplinary approaches to management information systems, primarily business and computer engineering. | 3 | 3 | 3 | 3 | |||||||||
| 2) Comprehends the management information systems in terms of technical, organizational and managerial aspects and uses the current programming language by knowing the logic of programming. | 1 | 1 | 2 | 2 | |||||||||
| 3) Uses different information technologies and systems for understanding and solving various business problems. | |||||||||||||
| 4) Interpret the data, concepts and ideas in the field of management information systems with scientific and technological methods. | 2 | 2 | 3 | 3 | |||||||||
| 5) Analyze the needs for an information system and analyze the processes of analysis, design and implementation of the database. | |||||||||||||
| 6) Gains technical and managerial contributions to IT projects and takes responsibility. | 1 | 1 | 2 | 3 | |||||||||
| 7) Solve complex business and informatics problems by using various statistical techniques and numerical methods and make analyzes using statistical programs effectively. | 3 | 3 | 3 | 2 | |||||||||
| 8) Uses a foreign language at the B1 General Level in terms of European Language Portfolio criteria according to the level of education. | 1 | 2 | 2 | 3 | |||||||||
| 9) Develops teamwork, negotiation, leadership and entrepreneurship skills. | 2 | 2 | 3 | 3 | |||||||||
| 10) Has universal ethical values, social responsibility awareness and sufficient legal knowledge. | |||||||||||||
| 11) Develops positive attitudes related to lifelong learning and identifies individual learning needs and carries out studies to correct them. | 3 | 3 | 3 | 3 | |||||||||
| 12) Students will be able to communicate their ideas and solutions both written and orally, and present and publish them on both national and international platforms. | |||||||||||||
| 13) It uses information and communication technologies together with computer software at the advanced level of European Computer Driving License required by the field. | |||||||||||||
| No Effect | 1 Lowest | 2 Average | 3 Highest |
| Program Outcomes | Level of Contribution | |
| 1) | It has a wide range of interdisciplinary approaches to management information systems, primarily business and computer engineering. | 3 |
| 2) | Comprehends the management information systems in terms of technical, organizational and managerial aspects and uses the current programming language by knowing the logic of programming. | 1 |
| 3) | Uses different information technologies and systems for understanding and solving various business problems. | 1 |
| 4) | Interpret the data, concepts and ideas in the field of management information systems with scientific and technological methods. | 2 |
| 5) | Analyze the needs for an information system and analyze the processes of analysis, design and implementation of the database. | |
| 6) | Gains technical and managerial contributions to IT projects and takes responsibility. | 1 |
| 7) | Solve complex business and informatics problems by using various statistical techniques and numerical methods and make analyzes using statistical programs effectively. | 3 |
| 8) | Uses a foreign language at the B1 General Level in terms of European Language Portfolio criteria according to the level of education. | 1 |
| 9) | Develops teamwork, negotiation, leadership and entrepreneurship skills. | 2 |
| 10) | Has universal ethical values, social responsibility awareness and sufficient legal knowledge. | |
| 11) | Develops positive attitudes related to lifelong learning and identifies individual learning needs and carries out studies to correct them. | 3 |
| 12) | Students will be able to communicate their ideas and solutions both written and orally, and present and publish them on both national and international platforms. | |
| 13) | It uses information and communication technologies together with computer software at the advanced level of European Computer Driving License required by the field. |
| 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 | Workload |
| Course Hours | 14 | 42 |
| Study Hours Out of Class | 14 | 28 |
| Midterms | 6 | 22 |
| Final | 10 | 24 |
| Total Workload | 116 | |