Calculus I (MATH151) Course Detail

Course Name	Course Code	Season	Lecture Hours	Application Hours	Lab Hours	Credit	ECTS
Calculus I	MATH151	1. Semester	4	2	0	5	7

Pre-requisite Course(s)
N/A

Course Language	English
Course Type	Compulsory Departmental Courses
Course Level	Bachelor’s Degree (First Cycle)
Mode of Delivery	Face To Face
Learning and Teaching Strategies	Lecture, Question and Answer, Problem Solving.
Course Coordinator
Course Lecturer(s)
Course Assistants
Course Objectives	The course is designed to fill the gaps in students knowledge that they have in their pre-college education and then to give them computational skills in one-variable differential and integral calculus to handle engineering problems
Course Learning Outcomes	The students who succeeded in this course; understand, define and use functions, and represent them by means of graphs understand fundamental concepts of limit and continuity understand the meaning of derivative and calculate derivatives of one-variable functions use derivatives to solve problems involving maxima, minima, and related rates understand integration, know integration techniques, use them to solve area, volume and other problems
Course Content	Preliminaries, limits and continuity, differentiation, applications of derivatives, L`Hopital's Rule, integration, applications of integrals, integrals and transcendental functions, integration techniques and improper integrals, squences.

Weekly Subjects and Releated Preparation Studies

Week	Subjects	Preparation
1	P.1 Real Numbers and the Real Line, P.2 Cartesian Coordinates in the Plane, P.3 Graphs of Quadratic Equations, P.4 Functions and Their Graphs,	pp:3-33
2	P.5 Combining Functions to Make New Functions, P.6 Polynomials and Rational Functions, P.7 Trigonometric Functions,	pp:33-57
3	1.1 Examples of Velocity, Growth Rate, and Area, 1.2 Limits of Functions, 1.3 Limits at Infinity and Infinite Limits, 1.4 Continuity,	pp:58-87
4	1.5 The Formal Definition of Limit, 2.1 Tangent Lines and Their Slopes, 2.2 The Derivative, 2.3 Differentiation Rules,	pp:87-114
5	2.4 The Chain Rule, 2.5 Derivatives of Trigonometric Functions, 2.6 Higher-Order Derivatives,	pp:115-129
6	2.7 Using Differentials and Derivatives, 2.8 The Mean Value Theorem, 2.9 Implicit Differentiation, 3.1 Inverse Functions,	pp:129-147 pp:163-169
7	Midterm
8	3.2 Exponential and Logarithmic Functions, 3.3 The Natural Logarithm and Exponential, 3.4 Growth and Decay (Theorem 4, Theorem 5, Theorem 6 and Examples for these theorems), 3.5 The Inverse Trigonometric Functions,	pp:169-187 pp:190-197
9	3.6 Hyperbolic Functions (only their definition and derivatives), 4.1 Related Rates, 4.3 Indeterminate Forms,	pp:198-203 pp:213-219 pp:227-232
10	4.4 Extreme Values, 4.5 Concavity and Inflections, 4.6 Sketching the Graph of a Function,	pp:232-252
11	4.8 Extreme-Value Problems, 4.9 Linear Approximations, 2.10 Antiderivatives and Initial Value Problems (Antiderivatives, The Indefinite Integral), 5.1 Sums and Sigma Notation,	pp:258-271 pp:147-150 pp:288-293
12	5.2 Areas as Limits of Sums, 5.3 The Definite Integral, 5.4 Properties of the Definite Integral, 5.5 The Fundamental Theorem of Calculus,	pp:293-316
13	5.6 The Method of Substitution, 5.7 Areas of Plane Regions, 6.1 Integration by Parts,	pp:316-337
14	6.2 Integrals of Rational Functions, 6.3 Inverse Substitutions, 6.5 Improper Integrals,	pp:337-353 pp:359-367
15	7.1 Volumes by Slicing – Solids of Revolution, 7.2 More Volumes by Slicing, 7.3 Arc Length and Surface Area (only Arc Length), Review,	pp:390-407
16	Final Exam

Sources

Course Book	1. Calculus: A complete Course, R. A. Adams, C. Essex, 7th Edition; Pearson Addison Wesley
Other Sources	2. Thomas’ Calculus Early Transcendentals, 11th Edition.( Revised by M. D. Weir, J.Hass and F. R. Giardano; Pearson , Addison Wesley)
	3. Calculus: A new horizon, Anton Howard, 6th Edition; John Wiley & Sons
	4. Calculus with Analytic Geometry, C. H. Edwards; Prentice Hall
	5. Calculus with Analytic Geometry, R. A. Silverman; Prentice Hall

Evaluation System

Requirements	Number	Percentage of Grade
Attendance/Participation	-	-
Laboratory	-	-
Application	-	-
Field Work	-	-
Special Course Internship	-	-
Quizzes/Studio Critics	-	-
Homework Assignments	-	-
Presentation	-	-
Project	-	-
Report	-	-
Seminar	-	-
Midterms Exams/Midterms Jury	2	60
Final Exam/Final Jury	1	40
Toplam	3	100

Percentage of Semester Work	60
Percentage of Final Work	40
Total	100

Course Category

Core Courses	X
Major Area Courses
Supportive Courses
Media and Managment Skills Courses
Transferable Skill Courses

The Relation Between Course Learning Competencies and Program Qualifications

#	Program Qualifications / Competencies	Level of Contribution
#	Program Qualifications / Competencies	1	2	3	4	5
1	Has the theoretical background necessary to analyze operational situations encountered during flight.		X
2	Critically evaluates flight safety, airspace management, and crisis scenarios.					X
3	Develops applicable strategic solutions in emergency situations.
4	Possesses knowledge of flight safety, meteorology, flight planning, and emergency management.
5	Analyzes technical and environmental problems encountered during flight and produces appropriate solutions.
6	Applies risk management strategies for emergency situations.		X
7	Takes responsibility for effective decision-making and conducting safe operations in various flight scenarios.
8	Has knowledge of task sharing, communication protocols, and team dynamics in flight crews.
9	Communicates effectively in both written and verbal forms with flight crews.
10	Collaborates actively within the team and fulfills assigned responsibilities.
11	Ensures operational safety in multi-crew flights through effective cooperation and communication.
12	Has knowledge of flight operations management, leadership principles, and crisis management.
13	Demonstrates leadership in flight planning and operational processes.
14	Manages teams and uses resources efficiently.
15	Assumes responsibility for decision-making and guiding flight operations during crises.
16	Has knowledge of national and international aviation regulations, safety standards, and ethical principles.
17	Acts in accordance with ethical rules and legal regulations during flight duties.
18	Complies with safety standards.
19	Bears responsibility for acting in accordance with ethical principles and regulations in the aviation sector.
20	Has knowledge of professional development tools and performance evaluation methods.
21	Evaluates own flight performance and identifies areas for improvement.
22	Plans personal professional development goals.
23	Takes responsibility for continuous development with a lifelong learning approach.
24	Has knowledge of flight simulations, air traffic management, and navigation systems.
25	Applies learned knowledge in simulator applications and real flight conditions.
26	Successfully manages crisis scenarios in a simulation environment.
27	Demonstrates responsibility for operational decision-making by applying skills acquired through simulation-based training.
28	Has knowledge of commercial flight operations, multi-crew systems, and flight safety procedures.
29	Carries out duties and assumes operational responsibilities in advanced flight scenarios.
30	Applies crew coordination and aircraft management processes.
31	Assumes responsibility for leadership, safety, and management in commercial flight operations.
32	Acquires an accredited ATPL (Frozen) CPL/IR(A) pilot license with international validity approved by the Directorate General of Civil Aviation (DGCA).

ECTS/Workload Table

Activities	Number	Duration (Hours)	Total Workload
Course Hours (Including Exam Week: 16 x Total Hours)	16	4	64
Laboratory
Application	16	2	32
Special Course Internship
Field Work
Study Hours Out of Class	14	3	42
Presentation/Seminar Prepration
Project
Report
Homework Assignments
Quizzes/Studio Critics
Prepration of Midterm Exams/Midterm Jury
Prepration of Final Exams/Final Jury	1	18	18
Total Workload			156