| Course Description |
|
| Course Name |
: |
Mathematics II |
|
| Course Code |
: |
G 108 |
|
| Course Type |
: |
Compulsory |
|
| Level of Course |
: |
First Cycle |
|
| Year of Study |
: |
1 |
|
| Course Semester |
: |
Spring (16 Weeks) |
|
| ECTS |
: |
4 |
|
| Name of Lecturer(s) |
: |
Asst.Prof.Dr. NAZAR ŞAHİN ÖĞÜŞLÜ
|
|
| Learning Outcomes of the Course |
: |
Can calculate limits of sequences.
Can decide if the infinite series are convergent.
Can express functions in infinite series.
Identify and draw different curves.
Calculate the indefinite integral.
Calculate the definite integral.
Can calculate area, volume, arc length, surface area and the center of gravity using the Definite Integral .
|
|
| Mode of Delivery |
: |
Face-to-Face |
|
| Prerequisites and Co-Prerequisites |
: |
None |
|
| Recommended Optional Programme Components |
: |
None |
|
| Aim(s) of Course |
: |
Calculation of Mathematical and physical quantities through integral or series. |
|
| Course Contents |
: |
Sequences and series, convergent, divergent series, definite and indefinite integral, area, volume and arc length with rectangular and polar coordinates. |
|
| Language of Instruction |
: |
Turkish |
|
| Work Place |
: |
faculty of agriculture classrooms |
|
|
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 |
|
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 |
|
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 |
|
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 |
3 |
|
3 |
Has knowledge in the fields of basic science, engineering and food science and technology |
0 |
|
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 |
1 |
|
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 |
1 |
|
14 |
Knows a foreign language at a level to follow the literature about foods and communicate |
0 |
|
15 |
is respectful of professional ethics |
3 |
|
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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