PILOTAGE (EN) | |||||
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 |
The course opens with the approval of the Department at the beginning of each semester |
Language of instruction: | En |
Type of course: | Must Course |
Course Level: | Bachelor |
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 |
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: | 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 |
Attendance | % 0 | |
Laboratory | % 0 | |
Application | % 0 | |
Field Work | % 0 | |
Special Course Internship (Work Placement) | % 0 | |
Quizzes | % 0 | |
Homework Assignments | % 0 | |
Presentation | % 0 | |
Project | % 0 | |
Seminar | % 0 | |
Midterms | 1 | % 40 |
Preliminary Jury | % 0 | |
Final | 1 | % 60 |
Paper Submission | % 0 | |
Jury | % 0 | |
Bütünleme | % 0 | |
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 |
Laboratory | 0 | 0 | 0 |
Application | 14 | 2 | 28 |
Special Course Internship (Work Placement) | 0 | 0 | 0 |
Field Work | 0 | 0 | 0 |
Study Hours Out of Class | 14 | 3 | 42 |
Presentations / Seminar | 0 | 0 | 0 |
Project | 0 | 0 | 0 |
Homework Assignments | 0 | 0 | 0 |
Quizzes | 0 | 0 | 0 |
Preliminary Jury | 0 | 0 | 0 |
Midterms | 1 | 28 | 28 |
Paper Submission | 0 | 0 | 0 |
Jury | 0 | 0 | 0 |
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) | Apply scientific methods or concepts in solving aviation-related problems | 5 |
2) | Analyze and interpret data | 5 |
3) | Work effectively on multi‐disciplinary and diverse teams | 5 |
4) | Make professional and ethical decisions | 4 |
5) | Communicate effectively, using both written and oral communication skills | 4 |
6) | Engage in and recognize the need for life‐long learning | 5 |
7) | Use the techniques, skills, and modern technology necessary for professional practice | 5 |
8) | Assess the national and international aviation environment | 4 |
9) | Apply pertinent knowledge in identifying and solving contemporary problems in the field of aviation | 4 |
10) | Apply knowledge of business sustainability to aviation issues | 4 |