ECTS - Calculus II

Atılım University - ECTS INFORMATION GUIDE

Calculus II (MATH152) Course Detail

Course Name Course Code Season Lecture Hours Application Hours Lab Hours Credit ECTS
Calculus II MATH152 3. Semester 4 2 0 5 7
Pre-requisite Course(s)
MATH151
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 as a continuation of MATH151 Calculus I and aims to give the students the computational skills in series, analytic geometry and multi-variable differential and integral calculus to handle engineering problems.
Course Learning Outcomes The students who succeeded in this course;
  • understand and use sequences, infinite series, power series of functions, Taylor and Maclaurin series,
  • use analytic geometry through vectors and interpret lines, planes and surfaces in 3-dimensional space,
  • understand and use the functions of several variables, partial derivatives, directional derivatives, gradient vectors and tangent planes
  • find local and absolute extrema of multivariable functions, use Lagrange Multipliers and solve optimization problems,
  • understand and use double and triple integrals in different coordinate systems
Course Content Infinite series, vectors in the plane and polar coordinates, vectors and motions in space, multivariable functions and their derivatives, multiple integrals: double integrals, areas, double integrals in polar coordinates, triple integrals in rectangular, cylindrical and spherical coordinates, line integrals, Independence of path,Green's theorem.

Weekly Subjects and Releated Preparation Studies

Week Subjects Preparation
1 9.1. Sequences and Convergence, 9.2. Infinite Series, pp:495-409
2 9.3. Convergence Tests for Positive Series (The Integral Test, Comparison Tests, The Ratio and Root Tests), 9.4. Absolute and Conditional Convergence, pp:510-526
3 9.5. Power Series, 9.6. Taylor and Maclaurin Series (Convergence of Taylor Series; Error Estimates), pp:526-545
4 9.7. Applications of Taylor and Maclaurin Series, 10.1. Analytic Geometry in Three Dimensions, pp:546-549 pp:562-568
5 10.2. Vectors, 10.3. The Cross Product in 3-Space, pp:568-585
6 10.4. Planes and Lines, 10.5. Quadric Surfaces, pp:585-596
7 Midterm,
8 12.1. Functions of Several Variables, 12.2. Limits and Continuity, pp:669-681
9 12.3. Partial Derivatives, 12.4. Higher Order Derivatives, 12.5. The Chain Rule, pp:681-703
10 12.6. Linear Approximations, Differentiability, and Differentials, 12.7. Gradient and Directional Derivatives, 12.8. Implicit Functions, pp:703-705 pp:706-707 pp:714-726
11 13.1. Extreme Values, 13.2. Extreme Values of Functions Defined on Restricted Domains, pp:743-754
12 13.3. Lagrange Multipliers, 14.1. Double Integrals, pp:756-760 pp:790-796
13 14.2. Iteration of Double Integrals in Cartesian Coordinates, 14.4. Double Integrals in Polar Coordinates, pp:796-802 pp:808-812
14 14.5. Triple Integrals, 14.6. Change of Variables in Triple Integrals (Cylindrical and Spherical Coordinates), pp:818-830
15 14.6. Change of Variables in Triple Integrals (Cylindrical and Spherical Coordinates), pp:824-830
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
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 2 10 20
Prepration of Final Exams/Final Jury 1 18 18
Total Workload 176