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 undefined integrals of the some special functions.
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 -- MODE OF DELIVERY
   The mode of delivery 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   Midterm exam.
10. Week  Physical interpretation of differentiaition, concavity Rolle’s theorem and mean value theorems.
11. Week   Elimination of uncertainties by using l`Hospital rule, asymptotes of an curve.
12. Week  Graphic Drawing : Graphs of rational, irrational, exponenetial, logarithmic, trigonometric, hyperbolic and parametric functions.
13. Week   Indefinite Integral : Differentiation of a function, definition of indefinite integral, propereties, basic integration formulas.
14. Week  Methods of Computing Integral : Integration by substitution, parts.
15. Week   Partial fractions, integral of trigonometric and hyperbolic functions, integration by some special substitution.
16. Week  Final exam
 -- TEACHING and LEARNING METHODS
 -- ASSESSMENT CRITERIA
 
Quantity
Total Weighting (%)
 Midterm Exams
1
0
 Assignment
0
0
 Application
0
0
 Projects
0
0
 Practice
0
0
 Quiz
0
0
 Percent of In-term Studies  
60
 Percentage of Final Exam to Total Score  
40
 -- 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 knowledge in these areas in complex engineering problems.X
2Ability to identify, formulate, and solve complex civil 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.environmental and social aspects.X
4Ability to devise, select, and use modern techniques and tools needed for analyzing and solving complex problems encountered in civil engineering practice; ability to employ information technologies and to use at least one computer programming language effectively.X
5Ability to design and conduct experiments, gather data, analyze and interpret results for investigating complex civil engineering problems or discipline specific research questions.
6Ability to work efficiently in intra-disciplinary and multi-disciplinary teams.X
7Ability to work individually.X
8Ability to communicate effectively in Turkish, both orally and in writing; ability to write effective reports and comprehend written reports.X
9Knowledge of English of B1 level according to Common European Framework of ReferenceX
10Prepare design and production reports, make effective presentations, and give and receive clear and intelligible instructions.
11Recognition of the need for lifelong learning; ability to access information, to follow developments in science and technology, and to continue to educate him/herself.
12Consciousness to behave according to ethical principles and professional and ethical responsibility.
13Knowledge on standards used in civil engineering practice.
14Knowledge about business life practices such as project management, risk management, and change management.
15Awareness in entrepreneurship, innovation; knowledge about sustainable development.
16Knowledge 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.
17Awareness of the legal consequences of engineering solutions.
 -- NAME OF LECTURER(S)
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 -- WEB SITE(S) OF LECTURER(S)
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 -- EMAIL(S) OF LECTURER(S)
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