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| Course Description |
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| Course Name |
: |
Mathematics 2 |
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| Course Code |
: |
TYP108 |
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| Course Type |
: |
Compulsory |
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| Level of Course |
: |
First Cycle |
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| Year of Study |
: |
1 |
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| Course Semester |
: |
Spring (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 |
: |
Calculates limits of sequences.
Decides whether or not an infinite series are convergent.
Expresses functions as infinite series.
Identifies and draws different curves.
Computes indefinite integrals.
Calculates definite integrals.
Calculates area, volume, arc length, surface area and center of gravity using definite Integral .
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| 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 |
: |
Mathematical and physical quantities are calculated with integral or series. |
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| Course Contents |
: |
Sequences and series, convergent, divergent series, definite and indefinite integral, area, volume and arc length with rectangular and polar coordinates. |
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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 |
|
1 |
Sequences, Limits. Limit theorems, infinite limits. Monotone convergence theorem. Subsequences. |
Review of the relevant pages from sources |
Lecture and discussion |
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2 |
Convergence of the series, the n-th term test, geometric series, p-series, Comparison, Limit Comparison, Ratio and Root Tests. |
Review of the relevant pages from sources |
Lecture and discussion |
|
3 |
Power series, radius of convergence, power series term term Differentiation theorem, Taylor and McLaurin series, Binomial theorem. |
Review of the relevant pages from sources |
Lecture and discussion |
|
4 |
Polar Coordinates. Some of the important curves. Curve drawings. The slope of the tangent formula. Parameterized curves. |
Review of the relevant pages from sources |
Lecture and discussion |
|
5 |
The Indefinite Integral definition, properties. Variable change and partial Integration. |
Review of the relevant pages from sources |
Lecture and discussion |
|
6 |
Integration of some trigonometric functions. |
Review of the relevant pages from sources |
Lecture and discussion |
|
7 |
Integration of some algebraic functions with variable change and reduction formulas. |
Review of the relevant pages from sources |
Lecture and discussion |
|
8 |
Written exam |
Review and Problem Solving |
Written exam |
|
9 |
Integration of Rational Functions. |
Review of the relevant pages from sources |
Lecture and discussion |
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10 |
Special trigonometric and algebraic integrals. Definition and properties of the definite integral. |
Review of the relevant pages from sources |
Lecture and discussion |
|
11 |
Fundamental theorems of differential calculus. Change of variables formula. Improper integrals. |
Review of the relevant pages from sources |
Lecture and discussion |
|
12 |
Convergence of improper integrals. Integral test. Cartesian and polar coordinates and area calculation. |
Review of the relevant pages from sources |
Lecture and discussion |
|
13 |
Calculate the volume with Disk and cylindrical layers method. Arc length. |
Review of the relevant pages from sources |
Lecture and discussion |
|
14 |
Surface area of revolution. |
Review of the relevant pages from sources |
Lecture and discussion |
|
15 |
Finding the center of gravity. Pappus formula. |
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 II , 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
|
100 |
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Rate of Final Assessments to Success
|
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 |
5 |
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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 |
|
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 |
|
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 |
0 |
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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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0 |
|
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 . |
4 |
| * 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 |
|
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 |
|
Homeworks, Projects, Others |
0 |
0 |
0 |
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Mid-term Exams (Written, Oral, etc.) |
1 |
15 |
15 |
|
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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