GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
MATHEMATICS I/MAT101E
Course Title: MATHEMATICS I
Credits 4 ECTS 6
Semester 1 Compulsory/Elective Compulsory
COURSE INFO
 -- LANGUAGE OF INSTRUCTION
  English
 -- NAME OF LECTURER(S)
   head of Chemical Engneering Department
 -- WEB SITE(S) OF LECTURER(S)
  -
 -- EMAIL(S) OF LECTURER(S)
  -
 -- LEARNING OUTCOMES OF THE COURSE UNIT
Acquiring a useful tool for using in exploration of the behaviour of functions which come out as








 -- MODE OF DELIVERY
  Delivery of this course is Face to face
 -- PREREQUISITES AND CO-REQUISITES
   There is no prerequisite
 -- RECOMMENDED OPTIONAL PROGRAMME COMPONENTS
  There is no recommended optonal programme
 --COURSE CONTENT
1. Week  Check-in: sets, numbers (real and complex), ranges, inequalities, neighborhoods, coordinates.
2. Week  Functions: definition, description and image sets, 1-1, onto and inverse functions, and the resultant combination of functions, some special functions
3. Week  Algebraic and Transcendental Functions: rational, irrational, trigonometric, inverse trigonometric, exponential, logarithmic, hyperbolic and inverse h
4. Week  Limits of functions: limit the definition of the left and right limits, limits the basic theorems, and some special trigonometric limits.
5. Week  Functions Continuity and discontinuity: the definition of continuity, continuous functions, the basic features and types of discontinuities.
6. Week  Derivative Concept definition and presence, derivative rules, derivative of composite and inverse functions, algebraic, trigonometric and inverse trig
7. Week  Exponential, logarithmic, hyperbolic and inverse hyperbolic functions, derivative of implicit and parametric functions, higher order derivatives..
8. Week  Medterm I
9. Week  Applications of Derivatives: the meaning and applications of derivatives, the absolute and local extrema, the maximum-minimum problems, physical defin
10. Week   Rolle and the mean value theorem, uncertainties, uncertainties with L'Hospital rule, asymptotes of a curve.
11. Week  Graphic Drawings: rational, irrational, exponential, logarithmic, trigonometric, hyperbolic and parametric functions.
12. Week  Indefinite integrals: the differential of a function, indefinite integral definition, characteristics, basic integration formulas.
13. Week  Medterm II
14. Week  Techniques of integration, change of variable, integration of rational fractions, integrals of trigonometric and hyperbolic functions.
15. Week  
16. Week  
 -- RECOMMENDED OR REQUIRED READING
  - ROSES.L., “DifferentialEqutions” Blaisdel Publishing Company. - AYRES Frank, “Diferensiyel Denklemler”. - Prof. Dr. İrfan Baki YAŞAR, “Uygulamalı Matematik” Gazi Üniversitesi
 -- PLANNED LEARNING ACTIVITIES AND TEACHING METHODS
  Lecture, Question & Answer, Demonstration, Drill - Practise
 -- WORK PLACEMENT(S)
  Not Applicable
 -- ASSESSMENT METHODS AND CRITERIA
 
Quantity
Percentage
 Mid-terms
2
60
 Assignment
0
0
 Exercises
0
0
 Projects
0
0
 Practice
0
0
 Quiz
0
0
 Contribution of In-term Studies to Overall Grade  
60
 Contribution of Final Examination to Overall Grade  
40
 -- WORKLOAD
 Efficiency  Total Week Count  Weekly Duration (in hour)  Total Workload in Semester
 Theoretical Study Hours of Course Per Week
14
4
56
 Practising Hours of Course Per Week
0
 Reading
0
 Searching in Internet and Library
0
 Designing and Applying Materials
0
 Preparing Reports
0
 Preparing Presentation
0
 Presentation
0
 Mid-Term and Studying for Mid-Term
2
25
50
 Final and Studying for Final
1
25
25
 Other
1
19
19
 TOTAL WORKLOAD: 
150
 TOTAL WORKLOAD / 25: 
6
 ECTS: 
6
 -- COURSE'S CONTRIBUTION TO PROGRAM
NO
 PROGRAM LEARNING OUTCOMES
1
2
3
4
5
1Adequate knowledge in mathematics, science and engineering subjects pertaining to the relevant discipline; ability to use theoretical and applied information in these areas to model and solve engineering problems.X
2Ability to identify, formulate, and solve complex engineering problems; ability to select and apply proper analysis and modeling methods for this purpose.X
3Ability to design a complex system, process, device or product under realistic constraints and conditions, in such a way as to meet the desired result; ability to apply modern design methods for this purpose. (Realistic constraints and conditions may include factors such as economic and environmental issues, sustainability, manufacturability, ethics, health, safety issues, and social and political issues, according to the nature of the design.)
4Ability to devise, select, and use modern techniques and tools needed for engineering practice; ability to employ information technologies effectively.
5Ability to design and conduct experiments, gather data, analyze and interpret results for investigating engineering problems.
6Ability to work efficiently in intra-disciplinary teams.
7Ability to work efficiently in multi-disciplinary teams; ability to work individually.
8Ability to communicate effectively in Turkish, both orally and in writing; knowledge of a minimum of one foreign language.
9Recognition of the need for lifelong learning; ability to access information, to follow developments in science and technology, and to continue to educate him/herself.
10Awareness of professional and ethical responsibility.
11Information about business life practices such as project management, risk management, and change management.
12Information about awareness of entrepreneurship, innovation, and sustainable development.
13Knowledge about contemporary issues and the global and societal effects of engineering practices on health, environment, and safety.
14Knowledge about awareness of the legal consequences of engineering solutions.