TÜRKÇE
ENGLISH
Information
| Unit | FACULTY OF SCIENCE AND LETTERS |
| CHEMISTRY PR. | |
| Code | MK108 |
| Name | General Mathematics |
| Term | 2018-2019 Academic Year |
| Semester | 2. Semester |
| Duration (T+A) | 4-0 (T-A) (17 Week) |
| ECTS | 5 ECTS |
| National Credit | 4 National Credit |
| Teaching Language | Türkçe |
| Level | Lisans Dersi |
| Type | Normal |
| Label | C Compulsory |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. ZERRİN GÜL ESMERLİGİL |
| Course Instructor |
Prof. Dr. ZERRİN GÜL ESMERLİGİL
(Bahar)
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
Mathematical and physical quantities are calculated with integral or series.
Course Content
Sequences and series, convergent, divergent series, definite and indefinite integral, area, volume and arc length with rectangular and polar coordinates.
Course Precondition
Resources
Analize Giriş Cilt II , Authors: Fikri Akdeniz, Yusuf Ünlü, Doğan Dönmez
Notes
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Students who successfully complete this course, Calculate limits of sequences. |
| LO02 | Decide whether or not an infinite series convergent. |
| LO03 | Express functions as infinite series. |
| LO04 | Identify different curves. |
| LO05 | Draw different curves. |
| LO06 | Compute indefinite integrals. |
| LO07 | Calculate definite integrals. |
| LO08 | Calculate area, volume, arc length, surface area and center of gravity using definite Integral . |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Sequences, Limits. Limit theorems, infinite limits. Monotone convergence theorem. Subsequences. | Review of the relevant pages from sources | |
| 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 | |
| 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 | |
| 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 | |
| 5 | The Indefinite Integral definition, properties. Variable change and partial Integration. | Review of the relevant pages from sources | |
| 6 | Integration of some trigonometric functions. | Review of the relevant pages from sources | |
| 7 | Integration of some algebraic functions with variable change and reduction formulas. | Review of the relevant pages from sources | |
| 8 | Mid-Term Exam | Review and Problem Solving | |
| 9 | Integration of Rational Functions. | Review of the relevant pages from sources | |
| 10 | Special trigonometric and algebraic integrals. Definition and properties of the definite integral. | Review of the relevant pages from sources | |
| 11 | Fundamental theorems of differential calculus. Change of variables formula. Improper integrals. | Review of the relevant pages from sources | |
| 12 | Convergence of improper integrals. Integral test. Cartesian and polar coordinates and area calculation. | Review of the relevant pages from sources | |
| 13 | Calculate the volume with Disk and cylindrical layers method. Arc length. | Review of the relevant pages from sources | |
| 14 | Surface area of revolution. | Review of the relevant pages from sources | |
| 15 | Finding the center of gravity. Pappus formula. | 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 |
Student Workload - ECTS
| Works | Number | Time (Hour) | Workload (Hour) |
|---|---|---|---|
| Course Related Works | |||
| Class Time (Exam weeks are excluded) | 14 | 4 | 56 |
| Out of Class Study (Preliminary Work, Practice) | 14 | 3 | 42 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 8 | 8 |
| Final Exam | 1 | 16 | 16 |
| Total Workload (Hour) | 122 | ||
| Total Workload / 25 (h) | 4,88 | ||
| ECTS | 5 ECTS | ||