COURSE INFORMATON
Course Title Code Semester L+P Hour Credits ECTS
Engineering Mathematics II AEN   152 2 3 3 4

Prerequisites and co-requisites Yok
Recommended Optional Programme Components None

Language of Instruction English
Course Level First Cycle Programmes (Bachelor's Degree)
Course Type
Course Coordinator Prof.Dr. Kadir AYDIN
Instructors
Prof.Dr.HAMİDE KAVAK1. Öğretim Grup:A
 
Assistants
Goals
Recalling the effective use of students prior knowledge of mathematics concepts to improve their skills
Content
Sequences and series. Sequential convergence, arithmetic and geometric sequences. Convergence and divergence of series. Power series. Taylor and MacLaurin series. Binom series. Fourier series and applications. Complex numbers. Basic algebraic rules for complex numbers. Vector analysis. Curves and surfaces. Line integrals, calculation of work by line integrals. Gradient of scalar fields. Divergence and curl of vector fields. Existence and uniqueness of solutions. First order differential equations. Second-order differential equations with constant coefficients. Laplace transformations. Power series solutions of differential equations. Introduction to partial differential equations

Learning Outcomes
1) Acquires analytical thinking ability and improves skills by using mathematical concepts
2) Sequences and series
3) arithmetic and geometric sequences
4) Taylor and MacLaurin series
5) Binom series. Fourier series and applications.
6) Complex numbers
7)
8)
9)
10)
11)
12)
13)
14)
15)


Course's Contribution To Program
NoProgram Learning OutcomesContribution
12345
1
Utilizes computer systems and softwares
X
2
Is equipped with a variety of skills and techniques in engineering.
X
3
Generates solutions for the problems in other disciplines by using statistical techniques
X
4
Designs a system, component or process so as to meet various engineering needs within technical, economic, environmental, manufacturability, sustainability limitations.
X
5
Comprehends visual, database and web programming techniques and has the ability of writing objective program
X
6
Examines and learns applications in an enterprise independently, makes critical assesments of problems, formulates problems and selects suitable techniques for solutions.
X
7
Leads the identification, development and usage of a product or production method.
X
8
Is aware of the need for lifelong learning and self-renew
X
9
Has effective oral and written English for technical or non-technical use
X
10
Uses computers very effectively, makes computer-aided drafting, designs, analysis, and presentations.
X
11
Improves constantly itself , as well as professional development scientific, social, cultural and artistic fields according to his/her interests and abilities identifying needs of learning.
X
12
Is aware of the technical and ethical responsibilities, has inquisitive and innovative quality
X

Course Content
WeekTopicsStudy Materials _ocw_rs_drs_yontem
1 Squences and series Lecture notes Lecture
Question-Answer
Discussion
2 Sequential convergence, arithmetic and geometric sequences Lecture notes Lecture
Question-Answer
Discussion
Drilland Practice
3 Convergence and divergence of series Lecture notes Lecture
Question-Answer
Discussion
Drilland Practice
Problem Solving
4 Power series Lecture notes Lecture
Drilland Practice
Problem Solving
5 Taylor and MacLaurin series Lecture notes Lecture
Question-Answer
Discussion
6 Binom series Lecture notes Lecture
Discussion
Problem Solving
7 Fourier series and applications Lecture notes Lecture
Discussion
Problem Solving
8 Midterm examination Written examination Testing
9 Complex numbers Lecture notes Lecture
Discussion
Problem Solving
10 Basic algebraic rules for complex numbers Lecture notes Lecture
Discussion
Problem Solving
11 Vector analysis. Lecture notes Lecture
Drilland Practice
Problem Solving
12 Curves and surfaces Lecture notes Lecture
Problem Solving
13 Line integrals, calculation of work by line integrals Lecture notes Lecture
Problem Solving
14 First order differential equations. Second-order differential equations with constant coefficients. Lecture notes Lecture
Problem Solving
15 Laplace transformations. Power series solutions of differential equations. Introduction to partial differential equations Lecture notes
16-17 Final examination Written examination Testing

Recommended or Required Reading
Textbook
Additional Resources