TÜRKÇE
ENGLISH
Information
| Unit | FACULTY OF SCIENCE AND LETTERS |
| CHEMISTRY PR. | |
| Code | MK135 |
| Name | Mathematic |
| Term | 2021-2022 Academic Year |
| Semester | 1. 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
(Güz)
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
Understand basic properties of limit, continuity and derivative and use them drawing the graphs of functions, approximate calculations and problem solving.
Course Content
Sets and number sets, Functions, Limits, derivative and rule of derivative, Graph of functions.
Course Precondition
Resources
Analize Giriş Cilt I , Authors: Fikri Akdeniz, Yusuf Ünlü, Doğan Dönmez
Notes
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Students who successfully complete this course, Define the limit. |
| LO02 | Express the properties of the limit. |
| LO03 | Define the continuity |
| LO04 | Express to theorems on continuity |
| LO05 | Solve problems by using some of the properties of continuous functions. |
| LO06 | Define derivatives. |
| LO07 | Compute derivatives. |
| LO08 | Compute irrational numbbers approximately with the help of derivatives. |
| LO09 | Find the maximum and minimum of functions of one variable. |
| LO10 | Draw graphs of functions of one variable. |
| LO11 | Solve practical problems. |
| LO12 | Use LHospitals rule to find limits. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Numbers: Rational and real numbers. Order. Absolute value. Real axis. Intervals. Inequalities. | Review of the relevant pages from sources | |
| 2 | Functions. Finding domain and range. Operations on functions and function types. | Review of the relevant pages from sources | |
| 3 | Increasing and decreasing functions. Inverse function. Graphics. Implicit functions. | Review of the relevant pages from sources | |
| 4 | Trigonometric functions. Problem-solving. | Review of the relevant pages from sources | |
| 5 | Limit of functions of one variable. Properties of limits. One-sided limits. | Review of the relevant pages from sources | |
| 6 | Infinite Limits . Limits at infinity. Continuity. | Review of the relevant pages from sources | |
| 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 | |
| 8 | Mid-Term Exam | Review and Problem Solving | |
| 9 | The chain rule. Higher-order derivatives. Derivative of inverse functions. | Review of the relevant pages from sources | |
| 10 | The inverse trigonometric functions and their derivatives. Problem-solving. | Review of the relevant pages from sources | |
| 11 | Rolle Theorem, Mean Value Theorem. Finding maximum and minimum . First and second derivative tests. | Review of the relevant pages from sources | |
| 12 | The second derivative and convexity. Asymptotes. Skethching graphs. | Review of the relevant pages from sources | |
| 13 | Applied maximum and minimum problems. | Review of the relevant pages from sources | |
| 14 | Exponential and logarithmic functions. | Review of the relevant pages from sources | |
| 15 | Indefinite forms and LHopitals rule. | 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 | ||