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| Course Description |
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| Course Name |
: |
Mathematics 1 |
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| Course Code |
: |
TYP107 |
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| Course Type |
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Compulsory |
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| Level of Course |
: |
First Cycle |
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| Year of Study |
: |
1 |
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| Course Semester |
: |
Fall (16 Weeks) |
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| ECTS |
: |
5 |
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| Name of Lecturer(s) |
: |
Asst.Prof.Dr. NAZAR ŞAHİN ÖĞÜŞLÜ
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| Learning Outcomes of the Course |
: |
Defines and expresses the properties of the limit.
Expresses and refers to theorems on continuity
Solves problems by using some of the properties of continuous functions.
Defines and computes derivatives.
Computes irrational numbers approximately with the help of derivatives.
Finds the maximum and minimum and also draws graphs of functions of one variable.
Solves practical problems
Uses L´Hospital´ s rule to find limits.
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| Mode of Delivery |
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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 |
: |
Understand basic properties of limit, continuity and derivative and use them drawing the graphs of functions, approximate calculations and problem solving. |
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| Course Contents |
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Sets and number sets, Functions, Limits, derivative and rule of derivative, Drawing graph of functions. |
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| Language of Instruction |
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Turkish |
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| Work Place |
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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 |
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1 |
Numbers: Rational and real numbers. Order. Absolute value. Real axis. Intervals. Inequalities. |
Review of the relevant pages from sources |
Lecture and discussion |
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2 |
Functions. Finding domain and range. Operations on functions and function types. |
Review of the relevant pages from sources |
Lecture and discussion |
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3 |
Increasing and decreasing functions. Inverse function. Graphics. Implicit functions. |
Review of the relevant pages from sources |
Lecture and discussion |
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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 |
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6 |
Infinite Limits . Limits at infinity. Continuity. |
Review of the relevant pages from sources |
Lecture and discussion |
|
7 |
Continuous functions and their properties. Problem-solving. Derivatives, slope of the tangent. Geometric interpretation of the derivative. Rules of differentiation. |
Review of the relevant pages from sources |
Lecture and discussion |
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8 |
Midterm exam |
Review and Problem Solving |
Written exam |
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9 |
The chain rule. Higher-order derivatives. Derivative of inverse functions. |
Review of the relevant pages from sources |
Lecture and discussion |
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10 |
The inverse trigonometric functions and their derivatives. Problem-solving. |
Review of the relevant pages from sources |
Lecture and discussion |
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11 |
Rolle´s Theorem, Mean Value Theorem. Finding maximum and minimum . First and second derivative tests. |
Review of the relevant pages from sources |
Lecture and discussion |
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12 |
The second derivative and convexity. Asymptotes. Skethching graphs. |
Review of the relevant pages from sources |
Lecture and discussion |
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13 |
Applied 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 |
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15 |
Indefinite forms and L ´Hopital´s rule. |
Review of the relevant pages from sources |
Lecture and discussion |
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16/17 |
Written exam |
Review and Problem Solving |
Written exam |
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Required Course Resources |
| Resource Type | Resource Name |
| Recommended Course Material(s) |
 Analize Giriş Cilt I , Authors: Fikri Akdeniz, Yusuf Ünlü, Doğan Dönmez
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| Required Course Material(s) | |
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Assessment Methods and Assessment Criteria |
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Semester/Year Assessments |
Number |
Contribution Percentage |
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Mid-term Exams (Written, Oral, etc.) |
1 |
100 |
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Homeworks/Projects/Others |
0 |
0 |
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Total |
100 |
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Rate of Semester/Year Assessments to Success |
40 |
| |
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Final Assessments
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100 |
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Rate of Final Assessments to Success
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60 |
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Total |
100 |
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| Contribution of the Course to Key Learning Outcomes |
| # | Key Learning Outcome | Contribution* |
|
1 |
Accesses to the resources in the field, uses of these resources and continuous self-improvement |
4 |
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2 |
Plans activities related to operation, maintenance and repairs irrigation network,developes project formulations in monitoring and evaluations, operates the irrigation networks. |
0 |
|
3 |
Developes and implements irrigation programmes using the soil-plant-water relations and soil engineering properties |
0 |
|
4 |
Developes and implements strategies for wastewater, drainage water, runoff water such as treated waste water re-use of non-conventional water without adversely affecting the environment, makes laboratory analysis about saline alkali soils and water suitability to irrigation and reports. |
0 |
|
5 |
Prepares project about soil and water structures, animal houses, storage structures and crop production structures. Analyzes in terms of static and strength. Determines the properties of materials used in construction and makes the relevant tests.
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0 |
|
6 |
Designs crop production systems, controls environmental domestic conditions and operates, makes the selection of materials to be used, tests and prepares a report. |
0 |
|
7 |
Etudes drainage of agricultural lands, plans drainage systems,prepares projects and makes aplications, selects materials to be used, tests and prepares a report
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0 |
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8 |
Exposes the problems about soil and water conservation (erosion) and water harvesting, prepares and implements the project.
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0 |
|
9 |
Designs and projects small dams, ponds. Prepares and implements flood action plans within the scope of integrated watershed management. |
0 |
|
10 |
Works independently and takes responsibility |
3 |
|
11 |
Developes and implement s strategies of sustainable water management for the purposes of protecting water resources and agricultural production. |
0 |
|
12 |
Makes aplication of engineering design of irrigation systems and conducts tests about the materıals used ın these systems and preapares reports |
0 |
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13 |
Prepares land consolidation projects and applies. Provides farm developing systems. Prepares and implements rural development projects. |
0 |
|
14 |
Creates effective solutions for sustainable agricultural production |
3 |
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15 |
Developes projects to protect natural resources like water,and offers the benefit to society, using the information of basic engineering, basic agricultural engineering and agricultural structures and irrigation engineering .
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1 |
|
16 |
Has the ability to analyze problems ,make decisions and solve about professional subjects |
2 |
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17 |
Has the ability to design and apply analytical, modelling and experimental researches,and acquires the skill of analyzing and interpreting the complex issiues occured during this process . |
5 |
| * Contribution levels are between 0 (not) and 5 (maximum). |
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| Student Workload - ECTS |
| Works | Number | Time (Hour) | Total Workload (Hour) |
| Course Related Works |
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Class Time (Exam weeks are excluded) |
14 |
4 |
56 |
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Out of Class Study (Preliminary Work, Practice) |
14 |
3 |
42 |
| Assesment Related Works |
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Homeworks, Projects, Others |
0 |
0 |
0 |
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Mid-term Exams (Written, Oral, etc.) |
1 |
15 |
15 |
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Final Exam |
1 |
20 |
20 |
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Total Workload: | 133 |
| Total Workload / 25 (h): | 5.32 |
| ECTS Credit: | 5 |
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