TÜRKÇE
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Information
| Unit | FACULTY OF AGRICULTURE |
| FOOD ENGINEERING PR. | |
| Code | G131 |
| Name | Mathematics I |
| Term | 2018-2019 Academic Year |
| Semester | 1. Semester |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 4 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | Türkçe |
| Level | Belirsiz |
| Type | Normal |
| Label | C Compulsory |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Arş.Gör. Dr. AYŞE ÇOBANKAYA |
| Course Instructor |
Arş.Gör. Dr. AYŞE ÇOBANKAYA
(Güz)
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
Understands basic properties of limit, continuity and derivation, and use them in drawing the graphs of functions, making approximate calculation and problem solving.
Course Content
Sets and number sets, Functions, Limits, derivation and rule of derivation, Drawing graphs of functions.
Course Precondition
Resources
Notes
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Defines the limit and expresses the properties of the limit. |
| LO02 | Defines the continuity and refers to some of the theorems |
| LO03 | Solves the problem by using some of the properties of continuous functions. |
| LO04 | Defines and calculates derivation. |
| LO05 | Makes approximate calculations of some numbers through derivation. |
| LO06 | Finds minimums and maximums of univariant functions and draws graphs. |
| LO07 | Solves practical problems. |
| LO08 | Finds the limits through LHospital rule. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | - | Has knowledge in the fields of basic science, engineering and food science and technology | 0 |
| PLO02 | - | Determines, identifies and resolves the problems in the areas regarding food engineering and technology applications | 0 |
| PLO03 | - | Gains the ability to use knowledge and skills in his/her field. | 5 |
| PLO04 | - | Improve a process-based system using the methods of measurement and evaluation | 0 |
| PLO05 | - | Researches and analyzes complex systems using scientific methods | 3 |
| PLO06 | - | Uses objective and subjective methods to evaluate food quality and interprets the results | 0 |
| PLO07 | - | Selects and uses modern technical systems in food engineering and technology applications | 0 |
| PLO08 | - | Uses laboratories, does food analyses and evaluates, interprets and reports the results, | 2 |
| PLO09 | - | Has skills of Independent decision-making, self-confidence, creativity and the ability to take responsibility | 4 |
| PLO10 | - | Complies with teamwork | 3 |
| PLO11 | - | Analytically and critically evaluates the learned information. | 4 |
| PLO12 | - | Knows the necessity of lifelong learning. | 5 |
| PLO13 | - | Communicates effectively and healthily in the relevant field and uses communication technologies | 0 |
| PLO14 | - | Knows a foreign language at a level to follow the literature about foods and communicate | 0 |
| PLO15 | - | Constantly improves himself/herself determining his/her training needs in accordance with his/her interests and abilities in the scientific, cultural, artistic and social fields besides his/her professional development | 0 |
| PLO16 | - | is respectful of professional ethics | 3 |
| PLO17 | - | Has ability to plan, implement and develop a food process | 0 |
| PLO18 | - | Knows the legislation and management systems related to foods | 0 |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Numbers. Rational and real numbers. Ranking. 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 | Review and Problem Solving | |
| 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. Graphic design. | Review of the relevant pages from sources | |
| 13 | Maximum and minimum problems. | Review of the relevant pages from sources | |
| 14 | Exponential and logarithmic functions. | Review of the relevant pages from sources | |
| 15 | Uncertainties and LHopitals rule. | Review of the relevant pages from sources | |
| 16 | Term Exams | Review and Problem Solving | |
| 17 | Term Exams | Review and Problem Solving |
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 |