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Information
| Unit | FACULTY OF ENGINEERING |
| ENVIRONMENTAL ENGINEERING PR. | |
| Code | CMZ109 |
| 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 | Türkçe |
| Level | Üniversite Dersi |
| Type | Normal |
| Label | C Compulsory |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. ZERRİN GÜL ESMERLİGİL |
| Course Instructor |
Prof. Dr. ZERRİN GÜL ESMERLİGİL
(Güz)
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
Function, limit, continuity and derivative grasp the main features about drawing the graphs of these functions use the account making and problem solving. We also train the students to think analytically and to solve problems in the future issues with the methods of solution for the models.
Course Content
Numbers, functions, trigonometry, limit, continuity, derivative, applications of derivative.
Course Precondition
-
Resources
Notes
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Knows the functions and limits. Define, and refers to the continuity of some of the theorems. Solves the problem by using some of the features of continuous functions. Define and calculate the derivative. About the number of accounts with the help of some |
| LO02 | Define, and refers to the continuity of some of the theorems. Solves the problem by using some of the features of continuous functions. Define and calculate the derivative. About the number of accounts with the help of some |
| LO03 | Solves the problem by using some of the features of continuous functions. |
| LO04 | Define and calculate the derivative. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | - | Becomes equipped with adequate knowledge in mathematics, science, environment and engineering sciences | 0 |
| PLO02 | - | Becomes able to apply theoretical knowledge in mathematics, science, environment and engineering sciences | 0 |
| PLO03 | - | Determines, describes, formulates and gains capabilities in solving engineering problems | 0 |
| PLO04 | - | Analyzes a system, components of the system or process, gains the designing capabilities of the system under the real restrictive conditions. | 2 |
| PLO05 | - | Chooses ans uses the ability to apply modern tools and design technics, suitable analytical methods, modeling technics for the engineering applications | 3 |
| PLO06 | - | Designs and performs experiments, data collection, has the ability of analyzing results | 0 |
| PLO07 | - | Works individually and in inter-disciplinary teams effectively | 0 |
| PLO08 | - | Becomes able to reach knowledge and for this purpose does literature research and to uses data base and other information sources | 1 |
| PLO09 | - | Becomes aware of the necessity of lifelong learning and continuously self renewal | 1 |
| PLO10 | - | Capable of effective oral and written skills in at least one foreign language for technical or non-technical use | 4 |
| PLO11 | - | Effective use of Information and communication technologies | 0 |
| PLO12 | - | Defines necessities in learning in scientific, social, cultural and artistic areas and improves himself/herself accordingly. | 1 |
| PLO13 | - | Professional and ethical responsibility | 0 |
| PLO14 | - | Project management, workplace practices, environmental and occupational safety; awareness about the legal implications of engineering applications | 1 |
| PLO15 | - | Becomes aware of universal and social effects of engineering solutions and applications, entrepreneurship and innovation and to have idea of contemporary issues | 3 |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Numbers. Sayılar.Sıralama rational and real. Absolute value. Number axis. Spacing. Inequalities. | Review of the relevant pages from sources | |
| 2 | Functions. Finding Definition and Value Sets. Transactions related to the functions and function types. | Review of the relevant pages from sources | |
| 3 | Ascending, descending functions. Reverse function. Graphics. Off functions. | Review of the relevant pages from sources | |
| 4 | Trigonometric functions. Problem-solving. | Review of the relevant pages from sources | |
| 5 | Limit of functions of one variable. Properties of limits. One-sided limits. | Review of the relevant pages from sources | |
| 6 | Limits are endless. Limits at infinity. Continuity | Review of the relevant pages from sources | |
| 7 | Continuous functions from their properties. Problem-solving. Derivatives, slope of the tangent. Rules of differentiation. | Review of the relevant pages from sources | |
| 8 | Mid-Term Exam | topics discussed in the lecture notes and sources again | |
| 9 | The chain rule. Higher-order derivatives. Derivative of inverse functions. Physical meaning of the derivative. | Review of the relevant pages from sources | |
| 10 | The inverse trigonometric functions and their derivatives. Problem-solving. | Review of the relevant pages from sources | |
| 11 | Rolles Theorem, Mean Value Theorem. Maximum, minimum detection. 1 and 2 Derivative test. | Review of the relevant pages from sources | |
| 12 | The second derivative and convexity. Asymptotes. Graphical boot. | Review of the relevant pages from sources | |
| 13 | Maximum and minimum problems. Calculus and its applications. Exponential and logarithmic functions and their properties. | Review of the relevant pages from sources | |
| 14 | Exponential and logarithmic functions. | Review of the relevant pages from sources | |
| 15 | Uncertainties and L Hopital s rule. | 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 |