TÜRKÇE
ENGLISH
Information
| Unit | FACULTY OF ENGINEERING |
| COMPUTER ENGINEERING PR. (ENGLISH) | |
| Code | CEN107 |
| Name | Mathematics 1 |
| Term | 2018-2019 Academic Year |
| Semester | 1. Semester |
| Duration (T+A) | 4-0 (T-A) (17 Week) |
| ECTS | 5 ECTS |
| National Credit | 4 National Credit |
| Teaching Language | İngilizce |
| Level | Lisans Dersi |
| Type | Normal |
| Label | C Compulsory |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. ŞEHMUS FINDIK |
| Course Instructor |
Prof. Dr. ŞEHMUS FINDIK
(Güz)
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
To teach the student the topics of limit, derivative and integral, which are the main topics of engineering mathematics, in a functional integrity
Course Content
Preliminaries, Functions, Limits and Continuity, Derivatives, Applications of Derivative
Course Precondition
Yok
Resources
Notes
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Identifies every function, draw their graphics. |
| LO02 | Comprehends the limit concept and evaluates limits. |
| LO03 | Grasps the geometical and physical meaning of derivative, writes the derivative definition, defines the derivative rules based on this definition, evaluates the derivative of any function. |
| LO04 | Defines definite integral, evaluates indefinite integrals using appropriate methods |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | - | Has capability in the fields of mathematics, science and computer that form the foundations of engineering | 5 |
| PLO02 | - | Identifies, formulates, and solves engineering problems, selects and applies appropriate analytical methods and modeling techniques, | 3 |
| PLO03 | - | Analyzes a system, its component, or process and designs under realistic constraints to meet the desired requirements,gains the ability to apply the methods of modern design accordingly. | 1 |
| PLO04 | - | Ability to use modern techniques and tools necessary for engineering practice and information technologies effectively. | 0 |
| PLO05 | - | Ability to design and to conduct experiments, to collect data, to analyze and to interpret results | 4 |
| PLO06 | - | Has ability to work effectively as an individual and in multi-disciplinary teams, take sresponsibility and builds self-confidence | 1 |
| PLO07 | - | Can access information,gains the ability to do resource research and uses information resources | 3 |
| PLO08 | - | Awareness of the requirement of lifelong learning, to follow developments in science and technology and continuous self-renewal ability | 3 |
| PLO09 | - | Ability to communicate effectively orally and in writing, and to read and understand technical publications in at least one foreign language | 0 |
| PLO10 | - | Professional and ethical responsibility, | 0 |
| PLO11 | - | Awareness about project management, workplace practices, employee health, environmental and occupational safety, and the legal implications of engineering applications, | 1 |
| PLO12 | - | Becomes aware of universal and social effects of engineering solutions and applications, entrepreneurship and innovation, and knowledge of contemporary issues | 1 |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Introduction to functions | Reading the lecture notes | |
| 2 | Limit concept, limit definition | Reading the lecture notes | |
| 3 | Limit at infinity, infinity as a limit, continuity | Reading the lecture notes | |
| 4 | Tangent problem, derivative definition | Reading the lecture notes | |
| 5 | Derivative rules, derivatives of trigonometric functions | Reading the lecture notes | |
| 6 | Chain rule, higher order derivatives, implicit differentiation | Reading the lecture notes | |
| 7 | Curve sketching, applied optimization problems | Reading the lecture notes | |
| 8 | Review, midterm exam | Reading the lecture notes | |
| 9 | Area problem, definite integral and its properties | Reading the lecture notes | |
| 10 | Fundamental Theorem of Calculus, indefinite integral, substitution rule | Reading the lecture notes | |
| 11 | Exponential and logarithmic functions | Reading the lecture notes | |
| 12 | Inverse trigonometric functions, indeterminate limits and L´Hospital rule | Reading the lecture notes | |
| 13 | Integration by parts, trigonometric integrals, trigonometric substitution | Reading the lecture notes | |
| 14 | Integration of rational functions, rationalizing substitutions | Reading the lecture notes | |
| 15 | FINAL | Reading the lecture notes | |
| 16 | FINAL | Reading the lecture notes | |
| 17 | FINAL | Reading the lecture notes |
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 |
Student Workload - ECTS
| Works | Number | Time (Hour) | Workload (Hour) |
|---|---|---|---|
| Course Related Works | |||
| Class Time (Exam weeks are excluded) | 14 | 4 | 56 |
| 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 | 8 | 8 |
| Final Exam | 1 | 16 | 16 |
| Total Workload (Hour) | 122 | ||
| Total Workload / 25 (h) | 4,88 | ||
| ECTS | 5 ECTS | ||