TÜRKÇE
ENGLISH
Information
| Unit | FACULTY OF ENGINEERING |
| AUTOMOTIVE ENGINEERING PR. (ENGLISH) | |
| Code | AEN152 |
| Name | Engineering Mathematics II |
| Term | 2017-2018 Academic Year |
| Semester | 2. Semester |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 4 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | İngilizce |
| Level | Üniversite Dersi |
| Type | Normal |
| Label | C Compulsory |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. KADİR AYDIN |
| Course Instructor |
Prof. Dr. HAMİDE KAVAK
(Bahar)
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
Recalling the effective use of students prior knowledge of mathematics concepts to improve their skills
Course 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
Course Precondition
Yok
Resources
Notes
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Acquires analytical thinking ability and improves skills by using mathematical concepts |
| LO02 | Sequences and series |
| LO03 | arithmetic and geometric sequences |
| LO04 | Taylor and MacLaurin series |
| LO05 | Binom series. Fourier series and applications. |
| LO06 | Complex numbers |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | - | Utilizes computer systems and softwares | |
| PLO02 | - | Is equipped with a variety of skills and techniques in engineering. | |
| PLO03 | - | Generates solutions for the problems in other disciplines by using statistical techniques | |
| PLO04 | - | Designs a system, component or process so as to meet various engineering needs within technical, economic, environmental, manufacturability, sustainability limitations. | |
| PLO05 | - | Comprehends visual, database and web programming techniques and has the ability of writing objective program | |
| PLO06 | - | Examines and learns applications in an enterprise independently, makes critical assesments of problems, formulates problems and selects suitable techniques for solutions. | |
| PLO07 | - | Leads the identification, development and usage of a product or production method. | |
| PLO08 | - | Is aware of the need for lifelong learning and self-renew | |
| PLO09 | - | Has effective oral and written English for technical or non-technical use | |
| PLO10 | - | Uses computers very effectively, makes computer-aided drafting, designs, analysis, and presentations. | |
| PLO11 | - | 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. | |
| PLO12 | - | Is aware of the technical and ethical responsibilities, has inquisitive and innovative quality |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Squences and series | Lecture notes | |
| 2 | Sequential convergence, arithmetic and geometric sequences | Lecture notes | |
| 3 | Convergence and divergence of series | Lecture notes | |
| 4 | Power series | Lecture notes | |
| 5 | Taylor and MacLaurin series | Lecture notes | |
| 6 | Binom series | Lecture notes | |
| 7 | Fourier series and applications | Lecture notes | |
| 8 | Midterm examination | Written examination | |
| 9 | Complex numbers | Lecture notes | |
| 10 | Basic algebraic rules for complex numbers | Lecture notes | |
| 11 | Vector analysis. | Lecture notes | |
| 12 | Curves and surfaces | Lecture notes | |
| 13 | Line integrals, calculation of work by line integrals | Lecture notes | |
| 14 | First order differential equations. Second-order differential equations with constant coefficients. | Lecture notes | |
| 15 | Laplace transformations. Power series solutions of differential equations. Introduction to partial differential equations | Lecture notes | |
| 16 | Final examination | Written examination | |
| 17 | Final examination | Written examination |
Assessment (Exam) Methods and Criteria
| Assessment Type | Midterm / Year Impact | End of Term / End of Year Impact |
|---|---|---|
| 1. Midterm Exam | 100 | 40 |
| General Assessment | ||
| Midterm / Year Total | 100 | 40 |
| 1. Final Exam | - | 60 |
| Grand Total | - | 100 |