GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
MATHEMATICS I/MATH101
Course Title: MATHEMATICS I
Credits 4 ECTS 6
Course Semester 1 Type of The Course Compulsory
COURSE INFORMATION
 -- (CATALOG CONTENT)
 -- (TEXTBOOK)
 -- (SUPPLEMENTARY TEXTBOOK)
 -- (PREREQUISITES AND CO-REQUISITES)
 -- LANGUAGE OF INSTRUCTION
  English
 -- COURSE OBJECTIVES
 -- COURSE LEARNING OUTCOMES
Students can know definiton of functions and some special functions.
Students can calculate limit of function and some special trigonometric limits.
Students can take the derivative of function.
Students can solve problems of absolute and local extremums, maxima and minima.
Students can take defined and indefinite integrals of the some special functions.

 -- MODE OF DELIVERY
  The type of this course is face to face.
 --WEEKLY SCHEDULE
1. Week  Introduction: Sets, Real numbers, intervals, inequalities, neighbourhoods, coordinates
2. Week  Functions: Definition function, definition and image of sets, injections, surjections and inverse functions, combinations of functions.
3. Week  Special Functions: Definitions of rational, irrational, trigonometric, inverse trigonometric, exponenetial, logarithmic and hyperbolic functions.
4. Week  Limit of Function: Definition of limit, right and left-hand limit, fundamental theorems about limits, some special and trigonometric limits
5. Week  Continuity of Functions: Definition of continuity, fundamental properties of continuous funcitons, discontinuties and its types.
6. Week  Concept of derivative: Definition and presence, rules of derivative, derivative of composite, inverse,and trigonometric functions.
7. Week  Differentiation of exponenetial, logarithmic, hyperbolic and inverse hyperbolic functions, closed and parametric functions, higher order derivatives
8. Week  Application of Differentiation: Geometrical interpretation of differentiaition, absolute and local extremums, maxima and minima problems.
9. Week  Physical interpretation of differentiaition, concavity Rolle’s theorem and mean value theorems. Elimination of uncertainties by using l`Hospital rule, asymptotes of an curve.
10. Week  Graphic Drawing: Graphs of rational, irrational, exponenetial, logarithmic, trigonometric, hyperbolic and parametric functions
11. Week  The Definition of Riemann Integrals and their properties
12. Week  Indefinite Integral: Differentiation of a function, definition of indefinite integral, properties, basic integration formulas
13. Week  Methods of Computing Integral : Integration by substitution, parts.
14. Week  Integral of Partial fractions, trigonometric and hyperbolic functions, integration by some special substitution.
15. Week  
16. Week  
 -- TEACHING and LEARNING METHODS
 -- ASSESSMENT CRITERIA
 
Quantity
Total Weighting (%)
 Midterm Exams
1
40
 Assignment
0
0
 Application
0
0
 Projects
0
0
 Practice
0
0
 Quiz
0
0
 Percent of In-term Studies  
40
 Percentage of Final Exam to Total Score  
60
 -- WORKLOAD
 Activity  Total Number of Weeks  Duration (weekly hour)  Total Period Work Load
 Weekly Theoretical Course Hours
14
4
56
 Weekly Tutorial Hours
0
 Reading Tasks
11
4
44
 Searching in Internet and Library
11
2
22
 Material Design and Implementation
0
 Report Preparing
0
 Preparing a Presentation
0
 Presentation
0
 Midterm Exam and Preperation for Midterm Exam
1
12
12
 Final Exam and Preperation for Final Exam
1
24
24
 Other (should be emphasized)
0
 TOTAL WORKLOAD: 
158
 TOTAL WORKLOAD / 25: 
6.32
 Course Credit (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 knowledgein these areas in complex 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.X
4Ability to devise, select, and use modern techniques and tools needed for analyzing and solving complex problems encountered in engineering practice; ability to employ information technologies effectively.X
5Ability to design and conduct experiments, gather data, analyze and interpret results for investigating complex engineering problems or discipline specific research questions.X
6Ability to work efficiently in intra-disciplinary and multi-disciplinary teams; ability to work individually.X
7Ability to communicate effectively in Turkish, both orally and in writing; knowledge of a minimum of one foreign language; ability to write effective reports and comprehend written reports, prepare design and production reports, make effective presentations, and give and receive clear and intelligible instructions.X
8Recognition of the need for lifelong learning; ability to access information, to follow developments in science and technology, and to continue to educate him/herself.X
9Consciousness to behave according to ethical principles and professional and ethical responsibility; knowledge on standards used in engineering practice.X
10Knowledge about business life practices such as project management, risk management, and change management; awareness in entrepreneurship, innovation; knowledge about sustainable development.X
11Knowledge about the global and social effects of engineering practices on health, environment, and safety, and contemporary issues of the century reflected into the field of engineering; awareness of the legal consequences of engineering solutions.X
 -- NAME OF LECTURER(S)
   (Mathematics Department Teaching Members)
 -- WEB SITE(S) OF LECTURER(S)
   (-)
 -- EMAIL(S) OF LECTURER(S)
   (fefmatematik@gazi.edu.tr)