| Course Description |
|
| Course Name |
: |
Mathematics I |
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| Course Code |
: |
G 127 |
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| Course Type |
: |
Compulsory |
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| Level of Course |
: |
First Cycle |
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| Year of Study |
: |
1 |
|
| Course Semester |
: |
Fall (16 Weeks) |
|
| ECTS |
: |
4 |
|
| Name of Lecturer(s) |
: |
Asst.Prof.Dr. NAZAR ŞAHİN ÖĞÜŞLÜ
|
|
| Learning Outcomes of the Course |
: |
Defines the limit and expresses the properties of the limit.
Defines the continuity and refers to some of the theorems
Solves the problem by using some of the properties of continuous functions.
Defines and calculates derivation.
Makes approximate calculations of some numbers through derivation.
Finds minimums and maximums of univariant functions and draws graphs.
Solves practical problems.
Finds the limits through L´Hospital rule.
|
|
| Mode of Delivery |
: |
Face-to-Face |
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| Prerequisites and Co-Prerequisites |
: |
None |
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| Recommended Optional Programme Components |
: |
None |
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| Aim(s) of Course |
: |
Understands basic properties of limit, continuity and derivation, and use them in drawing the graphs of functions, making approximate calculation and problem solving. |
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| Course Contents |
: |
Sets and number sets, Functions, Limits, derivation and rule of derivation, Drawing graphs of functions. |
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| Language of Instruction |
: |
Turkish |
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| Work Place |
: |
faculty of agriculture classrooms |
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Course Outline /Schedule (Weekly) Planned Learning Activities |
| Week | Subject | Student's Preliminary Work | Learning Activities and Teaching Methods |
|
1 |
Numbers. Rational and real numbers. Ranking. Absolute value. Number axis. Spacing. Inequalities. |
Review of the relevant pages from sources |
Lecture and discussion |
|
2 |
Functions. Finding Definition and Value Sets. Transactions related to the functions and function types. |
Review of the relevant pages from sources |
Lecture and discussion |
|
3 |
Ascending, descending functions. Reverse function. Graphics. Off functions. |
Review of the relevant pages from sources |
Lecture and discussion |
|
4 |
Trigonometric functions. Problem-solving. |
Review of the relevant pages from sources |
Lecture and discussion |
|
5 |
Limit of functions of one variable. Properties of limits. One-sided limits. |
Review of the relevant pages from sources |
Lecture and discussion |
|
6 |
Limits are endless. Limits at infinity. Continuity. |
Review of the relevant pages from sources |
Lecture and discussion |
|
7 |
Continuous functions from their properties. Problem-solving. Derivatives, slope of the tangent. Rules of differentiation. |
Review of the relevant pages from sources |
Lecture and discussion |
|
8 |
Written exam |
Review and Problem Solving |
Written exam |
|
9 |
The chain rule. Higher-order derivatives. Derivative of inverse functions. Physical meaning of the derivative. |
Review of the relevant pages from sources |
Lecture and discussion |
|
10 |
The inverse trigonometric functions and their derivatives. Problem-solving. |
Review of the relevant pages from sources |
Lecture and discussion |
|
11 |
Rolle´s Theorem, Mean Value Theorem. Maximum, minimum detection. 1. and 2. Derivative test . |
Review of the relevant pages from sources |
Lecture and discussion |
|
12 |
The second derivative and convexity. Asymptotes. Graphic design. |
Review of the relevant pages from sources |
Lecture and discussion |
|
13 |
Maximum and minimum problems. |
Review of the relevant pages from sources |
Lecture and discussion |
|
14 |
Exponential and logarithmic functions. |
Review of the relevant pages from sources |
Lecture and discussion |
|
15 |
Uncertainties and L ´Hopital´s rule. |
Review of the relevant pages from sources |
Lecture and discussion |
|
16/17 |
Written exam |
Review and Problem Solving |
Written exam |
|
|
| Contribution of the Course to Key Learning Outcomes |
| # | Key Learning Outcome | Contribution* |
|
1 |
Gains the ability to use knowledge and skills in his/her field. |
5 |
|
2 |
Improve a process-based system using the methods of measurement and evaluation |
0 |
|
3 |
Has knowledge in the fields of basic science, engineering and food science and technology |
1 |
|
4 |
Determines, identifies and resolves the problems in the areas regarding food engineering and technology applications |
0 |
|
5 |
Researches and analyzes complex systems using scientific methods |
3 |
|
6 |
Uses objective and subjective methods to evaluate food quality and interprets the results |
0 |
|
7 |
Selects and uses modern technical systems in food engineering and technology applications |
0 |
|
8 |
Uses laboratories, does food analyses and evaluates, interprets and reports the results, |
0 |
|
9 |
Has skills of Independent decision-making, self-confidence, creativity and the ability to take responsibility |
4 |
|
10 |
Complies with teamwork |
1 |
|
11 |
Analytically and critically evaluates the learned information. |
5 |
|
12 |
Knows the necessity of lifelong learning. |
5 |
|
13 |
Communicates effectively and healthily in the relevant field and uses communication technologies |
0 |
|
14 |
Knows a foreign language at a level to follow the literature about foods and communicate |
0 |
|
15 |
is respectful of professional ethics |
0 |
|
16 |
Has ability to plan, implement and develop a food process |
0 |
|
17 |
Knows the legislation and management systems related to foods |
0 |
|
18 |
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 |
| * Contribution levels are between 0 (not) and 5 (maximum). |
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