| SOFTWARE ENGINEERING | |||||
| Bachelor | TR-NQF-HE: Level 6 | QF-EHEA: First Cycle | EQF-LLL: Level 6 | ||
| Course Code | Course Name | Semester | Theoretical | Practical | Credit | ECTS |
| MAT1051 | Calculus I | Fall | 3 | 2 | 4 | 7 |
| Language of instruction: | English |
| Type of course: | Must Course |
| Course Level: | Bachelor’s Degree (First Cycle) |
| Mode of Delivery: | Face to face |
| Course Coordinator : | Instructor NERMINE AHMED EL SISSI |
| Course Lecturer(s): |
Prof. Dr. SÜREYYA AKYÜZ RA DUYGU ÜÇÜNCÜ Dr. Öğr. Üyesi LAVDİE RADA ÜLGEN RA AYSUN SOYSAL Dr. Öğr. Üyesi MESUT NEGİN Dr. Öğr. Üyesi MÜRÜVVET ASLI AYDIN Assoc. Prof. HALE GONCE KÖÇKEN Prof. Dr. NAFİZ ARICA Dr. Öğr. Üyesi DOĞAN AKCAN |
| Recommended Optional Program Components: | This is not defined for this course |
| Course Objectives: | The purpose of the course is to give to the student a mathematical understanding of relations, functions, limits, continuity and differentiation and thus provide the necessary background so that a rational approach to problem solving is attained. |
|
The students who have succeeded in this course; 1 Understand and make calculations with numbers and functions, function’s types, and interpret different type of functions; 2 Calculate limit and asymptots and prove some basic evidence about limit and continuity. 3 Define derivatives s as a rate of change; apply linearization methods on nonlinear functions and use this on calculations. 4 Learn different derivation methods 5 Solve related rate problems 6 Use derivation methods in curve sketching 7 Calculate absolute and local maximum minimum values of univariate functions 8 Solve basic optimization problems; |
| Relations, functions, limits, continuity, differentiation, rules of differentiation, The chain rule and implicit differentiation. Derivatives of trigonometric, exponential, logarithmic, inverse trigonometric functions.Related rates, linearization and differentials, extreme values, the Mean Value theorem, curve sketching, applied optimization problems. Indeterminate forms and L'Hopital's rule. Newton's method and antiderivatives. |
| Week | Subject | Related Preparation |
| 1) | Number systems and functions. | |
| 2) | Functions and their properties. | |
| 3) | Definition of limits and properties of limits. | |
| 4) | Undefined limits, horizontal and vertical asymptotes. Continuity. | |
| 5) | Definition of derivative. Tangents and derivative at a point. The derivative as a function. | |
| 6) | The derivative as a rate of change. Differentiation rules. | |
| 7) | Derivatives of functions. The chain rule and implicit differentiation. | |
| 8) | Derivatives of functions (cont'd). Approximations and differentials. | |
| 9) | Applications of the derivative. Related rate problems. | |
| 10) | Applications of differentiation (cont'd). The Mean value theorem, maximum, minimum values, increasing and decreasing functions, | |
| 11) | Curve sketching. | |
| 12) | Indeterminate forms and L'Hopital's rule. | |
| 13) | Optimization problems and Newton's method. | |
| 14) | Linearization of non linear functions |
| Course Notes / Textbooks: | Robert Adams, Christopher Essex, Calculus, Eight Edition, Pearson |
| 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 |
| 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 | 14 | 3 | 42 |
| Midterms | 1 | 28 | 28 |
| Final | 1 | 30 | 30 |
| Total Workload | 170 | ||
| No Effect | 1 Lowest | 2 Low | 3 Average | 4 High | 5 Highest |
| Program Outcomes | Level of Contribution | |
| 1) | Be able to specify functional and non-functional attributes of software projects, processes and products. | 4 |
| 2) | Be able to design software architecture, components, interfaces and subcomponents of a system for complex engineering problems. | 1 |
| 3) | Be able to develop a complex software system with in terms of code development, verification, testing and debugging. | |
| 4) | Be able to verify software by testing its program behavior through expected results for a complex engineering problem. | |
| 5) | Be able to maintain a complex software system due to working environment changes, new user demands and software errors that occur during operation. | 2 |
| 6) | Be able to monitor and control changes in the complex software system, to integrate the software with other systems, and to plan and manage new releases systematically. | 1 |
| 7) | Be able to identify, evaluate, measure, manage and apply complex software system life cycle processes in software development by working within and interdisciplinary teams. | 2 |
| 8) | Be able to use various tools and methods to collect software requirements, design, develop, test and maintain software under realistic constraints and conditions in complex engineering problems. | 1 |
| 9) | Be able to define basic quality metrics, apply software life cycle processes, measure software quality, identify quality model characteristics, apply standards and be able to use them to analyze, design, develop, verify and test complex software system. | 1 |
| 10) | Be able to gain technical information about other disciplines such as sustainable development that have common boundaries with software engineering such as mathematics, science, computer engineering, industrial engineering, systems engineering, economics, management and be able to create innovative ideas in entrepreneurship activities. | 5 |
| 11) | Be able to grasp software engineering culture and concept of ethics and have the basic information of applying them in the software engineering and learn and successfully apply necessary technical skills through professional life. | |
| 12) | Be able to write active reports using foreign languages and Turkish, understand written reports, prepare design and production reports, make effective presentations, give clear and understandable instructions. | |
| 13) | Be able to have knowledge about the effects of engineering applications on health, environment and security in universal and societal dimensions and the problems of engineering in the era and the legal consequences of engineering solutions. |