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Information
| Unit | FACULTY OF ENGINEERING |
| AUTOMOTIVE ENGINEERING PR. | |
| Code | OMZ102 |
| Name | Engineering Mathematics II |
| Term | 2019-2020 Academic Year |
| Semester | 2. Semester |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 4 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | Türkçe |
| Level | Lisans Dersi |
| Type | Normal |
| Label | C Compulsory |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. ALİ KESKİN |
| Course Instructor |
Doç. Dr. DİLEK ERSALAN
(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
Resources
Notes
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Knows the concept of integral. |
| LO02 | Learn the rules of integration |
| LO03 | Calculates integral of functions. |
| LO04 | Learns integral applications |
| LO05 | Learns the concept of series |
| LO06 | Determines whether a series is convergent. |
| LO07 | Knows the basic definitions and theorems of mathematics |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|
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 | Lecture notes | |
| 17 | Final examination | Lecture notes |
Assessment (Exam) Methods and Criteria
| Assessment Type | Midterm / Year Impact | End of Term / End of Year Impact |
|---|---|---|
| 1. Midterm Exam | 100 | 20 |
| General Assessment | ||
| Midterm / Year Total | 100 | 20 |
| 1. Final Exam | - | 80 |
| Grand Total | - | 100 |
Student Workload - ECTS
| Works | Number | Time (Hour) | Workload (Hour) |
|---|---|---|---|
| Course Related Works | |||
| Class Time (Exam weeks are excluded) | 14 | 3 | 42 |
| Out of Class Study (Preliminary Work, Practice) | 14 | 3 | 42 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 7 | 7 |
| Final Exam | 1 | 18 | 18 |
| Total Workload (Hour) | 109 | ||
| Total Workload / 25 (h) | 4,36 | ||
| ECTS | 4 ECTS | ||