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Information
| Unit | FACULTY OF ENGINEERING |
| TEXTILE ENGINEERING PR. | |
| Code | TMZ102 |
| Name | Mathematics II |
| Term | 2018-2019 Academic Year |
| Semester | 2. Semester |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 5 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | Türkçe |
| Level | Üniversite Dersi |
| Type | Normal |
| Label | C Compulsory |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Doç. Dr. LEYLA BUGAY |
| Course Instructor |
Doç. Dr. LEYLA BUGAY
(Bahar)
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
The aim of this course is to teach the basic mathematical theory knowledge required of the engineering profession, gain the ability to use the knowledge acquired in the required fields correctly
Course Content
The inverse function theorem, exponential and logarithmic functions, trigonometric and inverse trigonometric functions, indefinite forms and Taylor polynomial, Polar coordinates, Idefinite integral, definite integral, integral applications, functions of several variables, maximum - minimum problems of functions of sevral variables , the method of Lagrange multipliers
Course Precondition
Yok
Resources
Notes
Ders Notu ve Kitaplar
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Defines the reversible function. describes the relationship between the definition of the inverse function and main function. |
| LO02 | Illustrates the inverse functions of special type |
| LO03 | Defines the coordinate systems with coordinate systems, and explains the relationship between the polar coordinate system and vertical coordinate system . |
| LO04 | Knows how to take the integral and makes integral applications |
| LO05 | Defines a function of multivariate. Understands a surfacescan be expressed by a functions of several variables |
| LO06 | Calculates the partial derivatives of a multivariate functions. |
| LO07 | Finds the critical points of functions of several variables. |
| LO08 | Solves conditional maximum-minimum problems using the method of Lagrange multipliers |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | - | Has sufficient background in the fields of Mathematics, Science and Textile Engineering | 2 |
| PLO02 | - | Uses the knowledge obtained from the basic sciences and engineering in the field of textile engineering | 2 |
| PLO03 | - | Does process analysis, Identifies problems, interprets and evaluates data in the field of textile engineering | 2 |
| PLO04 | - | Selects and uses modern techniques and tools for engineering applications | 2 |
| PLO05 | - | Has the skills of designing experiments, data collection, cognitive analysis and interpretation of the results | 2 |
| PLO06 | - | Works effectively both individually and as a team member and takes responsibility | 2 |
| PLO07 | - | Searches literature, has access to information, uses databases and other sources of information | 3 |
| PLO08 | - | Recognizes the need of lifelong learning; follows developments in science and technology and renews self continuosly | 2 |
| PLO09 | - | Has effective oral and written communication skills. | 2 |
| PLO10 | - | Follows developments in the field in a foreign language, has good communication skills with colleagues. | 0 |
| PLO11 | - | Uses information and communication technologies and softwares at a required level | 0 |
| PLO12 | - | Defines learning requirements in scientific, social, cultural and artistic areas and improves himself/herself accordingly. | 2 |
| PLO13 | - | Has the professional and ethical responsibility. | 2 |
| PLO14 | - | Has the necessary awareness on the fields of occupational health and safety, legal side of engineering applications and environmental health. | 0 |
| PLO15 | - | Has required competence in project management, entrepreneurship and innovation. | 1 |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Exponential and logarithmic functions | Review of the relevant pages from sources | |
| 2 | Trigonometric and inverse trigonometric functions | Review of the relevant pages from sources | |
| 3 | Indeterminate forms | Review of the relevant pages from sources | |
| 4 | Taylaor polynomial | Review of the relevant pages from sources | |
| 5 | The polar coordinate system | Review of the relevant pages from sources | |
| 6 | Methods of integration | Review of the relevant pages from sources | |
| 7 | Integrals of trigonometric and inverse trigonometric functions | Review of the relevant pages from sources | |
| 8 | Mid-Term Exam | topics discussed in the lecture notes and sources again | |
| 9 | Integration of rational functions using simple fractions | Review of the relevant pages from sources | |
| 10 | Definite integral | Review of the relevant pages from sources | |
| 11 | Applications of definite integral | Review of the relevant pages from sources | |
| 12 | Applications of definite integral | Review of the relevant pages from sources | |
| 13 | Limits and continuity of functions of several variables | Review of the relevant pages from sources | |
| 14 | Minimum - maximum and derivative of functions of several variables | Review of the relevant pages from sources | |
| 15 | Lagrange multipliers method | Review of the relevant pages from sources | |
| 16 | Term Exams | topics discussed in the lecture notes and sources again | |
| 17 | Term Exams | topics discussed in the lecture notes and sources again |
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 |