GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
MATHEMATICS II/MAT102
Course Title: MATHEMATICS II
Credits 4 ECTS 6
Semester 2 Compulsory/Elective Compulsory
COURSE INFO
 -- LANGUAGE OF INSTRUCTION
  Turkish
 -- NAME OF LECTURER(S)
  Head of Department
 -- WEB SITE(S) OF LECTURER(S)
  
 -- EMAIL(S) OF LECTURER(S)
  
 -- LEARNING OUTCOMES OF THE COURSE UNIT
The ability both to make analysis and synthesis by examining different aspects of cases and looking multi-dimensionally at events is gained and to use
 -- MODE OF DELIVERY
  The mode of delivery of this course is Face to face
 -- PREREQUISITES AND CO-REQUISITES
  There is no prerequisite or co-requisite for this course.
 -- RECOMMENDED OPTIONAL PROGRAMME COMPONENTS
  There is no recommended optional programme component for this course.
 --COURSE CONTENT
1. Week  POLAR COORDINATES: Definition, drawing of an arc, calculation of area, length of an arc and surface area of revolution
2. Week  SEQUENCES: Definition, types, monotone and finite sequences, sub-sequence, convergence and divergence of sequences
3. Week  SERIES: Definition, convergence and divergence, positive series and convergence tests, alternative series, absolute and conditional convergence, powe
4. Week  SERIES EXPANSIONS: Taylor , Maclaurin and Binomial series, differentiation and integral of power series, calculations with the help of series
5. Week  VECTORS: Vector spaces, investigation of vectors in two and three-dimensional spaces,vector operations, linear independence and basis, lines, planes
6. Week  MULTIVARIABLE FUNCTIONS: Definition, domain of definition, graphs, limit and continuity of functions of two variables, partial differentiation
7. Week  Higher order partial derivatives, chain rule, implicit function derivatives, exact differentiation
8. Week  MIDTERM I
9. Week  APPLICATIONS OF PARTIAL DIFFERENTIATIONS: Gradient, divergens ve rotasyon, directional derivatives, geometrical interpretation of partial derivative,
10. Week  Taylor expansions of of functions of two variables, maxima and minima, conditional maxima and minima,maximum and minimum problems,The Jacobian transf
11. Week  DOUBLE INTEGRALS: Definition, properties, computation,The Jacobian transformation
12. Week  APPLICATIONS OF DOUBLE INTEGRALS: Calculation of area, volume, mass and moment, finding of center of masses and calculation of moment of inertia
13. Week  MIDTERM II
14. Week  TRIPLE INTEGRALS : Definition, properties, computation methods, The Jacobian transformation
15. Week  TRIPLE INTEGRALS : Definition, properties, computation methods, The Jacobian transformation
16. Week  Final
 -- RECOMMENDED OR REQUIRED READING
  - ROSE S.L., “Differential Equtions” 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, 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
14
2
28
 Searching in Internet and Library
14
2
28
 Designing and Applying Materials
0
 Preparing Reports
0
 Preparing Presentation
0
 Presentation
0
 Mid-Term and Studying for Mid-Term
1
10
10
 Final and Studying for Final
1
10
10
 Other
5
2
10
 TOTAL WORKLOAD: 
142
 TOTAL WORKLOAD / 25: 
5.68
 ECTS: 
6
 -- COURSE'S CONTRIBUTION TO PROGRAM
NO
 PROGRAM LEARNING OUTCOMES
1
2
3
4
5
1Engineering graduates with sufficient theoretical and practical background for a successful profession and with application skills of fundamental scientific knowledge in the engineering practice.X
2Engineering graduates with skills and professional background in describing, formulating, modeling and analyzing the engineering problem, with a consideration for appropriate analytical solutions in all necessary situationsX
3Engineering graduates with the necessary technical, academic and practical knowledge and application confidence in the design and assessment of machines or mechanical systems or industrial processes with considerations of productivity, feasibility and environmental and social aspects.X
4Engineering graduates with the practice of selecting and using appropriate technical and engineering tools in engineering problems, and ability of effective usage of information science technologies
5Ability of designing and conducting experiments, conduction data acquisition and analysis and making conclusions
6Ability of identifying the potential resources for information or knowledge regarding a given engineering issueX
7The abilities and performance to participate multi-disciplinary groups together with the effective oral and official communication skills and personal confidence
8Ability for effective oral and official communication skills in Turkish Language and, at minimum, one foreign language
9Engineering graduates with motivation to life-long learning and having known significance of continuous education beyond undergraduate studies for science and technology
10Engineering graduates with well-structured responsibilities in profession and ethics
11Engineering graduates who are aware of the importance of safety and healthiness in the project management, workshop environment as well as related legal issues
12Consciousness for the results and effects of engineering solutions on the society and universe, awareness for the developmental considerations with contemporary problems of humanity