G101 Mathematics I

5 ECTS - 3-0 Duration (T+A)- 1. Semester- 3 National Credit

Information

Code G101
Name Mathematics I
Term 2022-2023 Academic Year
Semester 1. Semester
Duration (T+A) 3-0 (T-A) (17 Week)
ECTS 5 ECTS
National Credit 3 National Credit
Teaching Language Türkçe
Level Lisans Dersi
Type Normal
Mode of study Yüz Yüze Öğretim
Catalog Information Coordinator Arş.Gör.Dr. AYŞE ÇOBANKAYA
Course Instructor Doç. Dr. DİLEK KAHYALAR (A Group) (Ins. in Charge)


Course Goal / Objective

Understands basic properties of limit, continuity and derivation, and use them in drawing the graphs of functions, making approximate calculation and problem solving.

Course Content

Sets and number sets, Functions, Limits, derivation and rule of derivation, Drawing graphs of functions.

Course Precondition

none

Resources

Notes



Course Learning Outcomes

Order Course Learning Outcomes
LO01 Defines the limit and expresses the properties of the limit.
LO02 Defines the continuity and refers to some of the theorems
LO03 Solves the problem by using some of the properties of continuous functions.
LO04 Defines and calculates derivation.
LO05 Makes approximate calculations of some numbers through derivation.
LO06 Finds minimums and maximums of univariant functions and draws graphs.
LO07 Solves practical problems.
LO08 Finds the limits through LHospital rule.


Relation with Program Learning Outcome

Order Type Program Learning Outcomes Level
PLO01 Bilgi - Kuramsal, Olgusal Have sufficient knowledge in the fields of basic sciences (mathematics / science) and food engineering and the ability to use theoretical and applied knowledge in these areas in complex engineering problems. 5
PLO02 Bilgi - Kuramsal, Olgusal Identifies, defines and solves complex engineering problems in applications in the fields of food engineering and technology.
PLO03 Bilgi - Kuramsal, Olgusal Gains the ability to apply a complex system or process related to food products and production components using modern design methods under certain constraints and conditions.
PLO04 Bilgi - Kuramsal, Olgusal Choosing and using modern technical tools necessary for analysis and solution of complex problems encountered in food engineering and technology applications; For this purpose, he/she uses information technologies.
PLO05 Bilgi - Kuramsal, Olgusal Gaining laboratory skills for the analysis and solution of complex problems in the field of food engineering, designing an experiment, conducting an experiment, collecting data, analyzing and interpreting the results.
PLO06 Bilgi - Kuramsal, Olgusal Takes responsibility individually and as a team member to solve problems encountered in food engineering applications.
PLO07 Bilgi - Kuramsal, Olgusal Gains the ability to communicate verbally and in writing in Turkish / English related to the field of food engineering, to write reports, to prepare design and production reports, to present effectively and to use communication technologies.
PLO08 Bilgi - Kuramsal, Olgusal Recognizing the necessity of lifelong learning and constantly improving himself/herself in the field of food engineering.
PLO09 Bilgi - Kuramsal, Olgusal Gains the awareness of food legislation and management systems and professional ethics.
PLO10 Bilgi - Kuramsal, Olgusal Using the knowledge of project design and management, he/she attempts to develop and realize new ideas about food engineering applications; have information about sustainability.
PLO11 Bilgi - Kuramsal, Olgusal Has awareness about the effects and legal consequences of engineering practices related to food safety and quality on consumer health and environmental safety within the framework of national and international legal regulations.


Week Plan

Week Topic Preparation Methods
1 Numbers. Rational and real numbers. Ranking. Absolute value. Number axis. Spacing. Inequalities. Review of the relevant pages from sources Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma
2 Functions. Finding Definition and Value Sets. Transactions related to the functions and function types. Review of the relevant pages from sources Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma
3 Ascending, descending functions. Reverse function. Graphics. Off functions. Review of the relevant pages from sources Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma
4 Trigonometric functions. Problem-solving. Review of the relevant pages from sources Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma
5 Limit of functions of one variable. Properties of limits. One-sided limits. Review of the relevant pages from sources Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma
6 Limits are endless. Limits at infinity. Continuity. Review of the relevant pages from sources Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma
7 Continuous functions from their properties. Problem-solving. Derivatives, slope of the tangent. Rules of differentiation. Review of the relevant pages from sources Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma
8 Mid-Term Exam Review and Problem Solving Ölçme Yöntemleri:
Yazılı Sınav
9 The chain rule. Higher-order derivatives. Derivative of inverse functions. Physical meaning of the derivative. Review of the relevant pages from sources Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma
10 The inverse trigonometric functions and their derivatives. Problem-solving. Review of the relevant pages from sources Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma
11 Rolles Theorem, Mean Value Theorem. Maximum, minimum detection. 1. and 2. Derivative test . Review of the relevant pages from sources Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma
12 The second derivative and convexity. Asymptotes. Graphic design. Review of the relevant pages from sources Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma
13 Maximum and minimum problems. Review of the relevant pages from sources Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma
14 Exponential and logarithmic functions. Review of the relevant pages from sources Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma
15 Uncertainties and LHopitals rule. Review of the relevant pages from sources Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma
16 Term Exams Review and Problem Solving Ölçme Yöntemleri:
Yazılı Sınav, Performans Değerlendirmesi
17 Term Exams Review and Problem Solving


Student Workload - ECTS

Works Number Time (Hour) Workload (Hour)
Course Related Works
Class Time (Exam weeks are excluded) 14 3 42
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 12 12
Final Exam 1 18 18
Total Workload (Hour) 114
Total Workload / 25 (h) 4,56
ECTS 5 ECTS

Update Time: 14.11.2022 10:25