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Course Details
KTO KARATAY UNIVERSITY
Mühendislik ve Doğa Bilimleri Fakültesi
Programme of Electrical and Electronics Engineering
Course Details
Course Code Course Name Year Period Semester T+A+L Credit ECTS
99600004 Calculus II 1 Spring 2 4+0+0 4 5
Course Type Compulsory
Course Cycle Bachelor's (First Cycle) (TQF-HE: Level 6 / QF-EHEA: Level 1 / EQF-LLL: Level 6)
Course Language English
Methods and Techniques -
Mode of Delivery Face to Face
Prerequisites -
Coordinator -
Instructor(s) Asst. Prof. Sümeyye BAKIM
Instructor Assistant(s) -
Course Instructor(s)
Name and Surname Room E-Mail Address Internal Meeting Hours
Asst. Prof. Sümeyye BAKIM A-130 [email protected] 7483 Wednesday
11:00-12:00
Course Content
Sequences. Series with positive terms, series with arbitrary terms, absolute and conditional convergence, power series, Taylor and Maclaurin series. Vector calculus. Functions of multiple variables; limits, continuity, partial derivatives, chain rule, directional derivatives, maxima and minima, Lagrange multipliers, Taylor' s formula. Double and triple integrals, line integrals, Green' s theorem in the plane, Surface area and surface integrals, Divergence and Stokes theorem.
Objectives of the Course
The sequence Calculus I-II is the standard complete introduction to the concepts and methods of calculus. It is taken by all engineering students. The emphasis is on concepts, solving problems, theory and proofs. Students will develop their reading, writing and questioning skills in Mathematics.
Contribution of the Course to Field Teaching
Basic Vocational Courses X
Specialization / Field Courses
Support Courses
Transferable Skills Courses
Humanities, Communication and Management Skills Courses
Relationships between Course Learning Outcomes and Program Outcomes
Relationship Levels
Lowest Low Medium High Highest
1 2 3 4 5
# Program Learning Outcomes Level
P1 Solid knowledge base in mathematics, natural sciences, and engineering-related subjects, along with the ability to solve complex engineering problems using this knowledge. 5
P2 Ability to identify, describe, mathematically express, and solve challenging engineering problems; the capability to select and utilize appropriate analysis and modeling techniques for this purpose. 2
P3 Ability to design a complex system, process, device, or product to meet specific requirements within real-world constraints and conditions; using current design techniques to achieve this goal. 4
P4 Ability to develop, prefer, and utilize current techniques and tools for analyzing and solving complex problems in engineering applications; proficiency in effectively utilizing information technologies. 3
P5 Ability to plan experiments, conduct them, collect data, analyze and interpret results regarding complex engineering problems or discipline-specific research topics. 3
P8 Belief in continuous learning; ability to access information, keep up with advancements in science and technology, and continuously update oneself. 3
P9 Adherence to ethical values, understanding of professional and ethical responsibilities; knowledge of standards used in engineering practices. 4
P10 Knowledge of topics related to project management, risk management, and change management in the business world; awareness of entrepreneurship and innovation; knowledge of sustainable development. 4
P11 Knowledge of the health, environmental, and safety impacts of engineering applications on a global and societal level, as well as awareness of issues influencing contemporary engineering disciplines; awareness of the legal consequences of engineering solutions. 3
Course Learning Outcomes
Upon the successful completion of this course, students will be able to:
No Learning Outcomes Outcome Relationship Measurement Method **
O1 Basic mathematics knowledge and theorems are known. P.1.74 1
O2 Knows the applications of mathematics in engineering P.1.75 1
O3 Knows numerical calculations and analysis P.1.76 1
O4 Mathematical models of engineering problems are created and simulated P.1.77 1
** Written Exam: 1, Oral Exam: 2, Homework: 3, Lab./Exam: 4, Seminar/Presentation: 5, Term Paper: 6, Application: 7
Weekly Detailed Course Contents
Week Topics
1 Infinite Sequences and Series.
2 Infinite Sequences and Series.
3 Infinite Sequences and Series.
4 Vector-Valued Functions
5 Vector-Valued Functions
6 Vector-Valued Functions
7 Vector-Valued Functions
8 Functions of Several Variables.
9 Functions of Several Variables.
10 Functions of Several Variables.
11 Multiple Integrals.
12 Multiple Integrals.
13 Integration in vector fields
14 Integration in vector fields
Textbook or Material
Resources George B.Thomas, Maurice D. Weir, Joel R.Hass, Thomas'Calculus 11th Edition
Evaluation Method and Passing Criteria
In-Term Studies Quantity Percentage
Attendance - -
Laboratory - -
Practice - -
Homework - -
Presentation - -
Projects - -
Quiz - -
Listening - -
Midterms 1 40 (%)
Final Exam 1 60 (%)
Total 100 (%)
ECTS / Working Load Table
Quantity Duration Total Work Load
Course Week Number and Time 14 4 56
Out-of-Class Study Time (Pre-study, Library, Reinforcement) 14 3 42
Midterms 1 22 22
Quiz 0 0 0
Homework 0 0 0
Practice 0 0 0
Laboratory 0 0 0
Project 0 0 0
Workshop 0 0 0
Presentation/Seminar Preparation 0 0 0
Fieldwork 0 0 0
Final Exam 1 30 30
Other 0 0 0
Total Work Load: 150
Total Work Load / 30 5
Course ECTS Credits: 5
Course - Learning Outcomes Matrix
Relationship Levels
Lowest Low Medium High Highest
1 2 3 4 5
# Learning Outcomes P1
O1 Basic mathematics knowledge and theorems are known. 4
O2 Knows the applications of mathematics in engineering 4
O3 Knows numerical calculations and analysis 5
O4 Mathematical models of engineering problems are created and simulated 5