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 Chemical Engneering Department
 -- WEB SITE(S) OF LECTURER(S)
  -
 -- EMAIL(S) OF LECTURER(S)
  -
 -- LEARNING OUTCOMES OF THE COURSE UNIT
The most widely used applications of mathematics series, vectors, functions of several variables, such as floors and line integrals to teach subjects.
 -- MODE OF DELIVERY
  The mode of delivery of this course is Face to face
 -- PREREQUISITES AND CO-REQUISITES
  There is no prerequisite
 -- RECOMMENDED OPTIONAL PROGRAMME COMPONENTS
  There is no recommended optional programme
 --COURSE CONTENT
1. Week  Polar Coordinates: Definition, curve sketching, area, arc length, and areas of surfaces of revolution account.
2. Week  Arrays: Definition, Types, monotonous and limited series, sub-series, convergence and divergence of sequences.
3. Week  Series: Definition of convergence and divergence, positive series and convergence tests, alternative series, absolute and conditional convergence, pow
4. Week  Perspectives series: Taylor and Maclaurin and binomial expansions, differentiation and integration of power series, the series with the help of the ca
5. Week  Vectors: vector spaces, examination of two-and three-dimensional space of vectors, vector operations, linear independence and bases, lines and planes
6. Week  Sums of power series.Applications of Taylor’s remainder formula.Convergence of sequences of numbers.Infinite series of numbers.
7. Week  High-order partial derivatives, chain rule, implicit derivative of the exact differentials.
8. Week  Vectors and three-dimentional analytic geometry:Rectangular coorinates , curves, and surfaces. Planes and lines.
9. Week  Applications of partial derivatives: Gradient, divergence and rotation, directional derivatives, partial derivatives geometry, equations of tangent pl
10. Week  Taylor expansion of functions of two variables, maxima and minima, maxima and minumumlar conditional maximum - minimum problems, transformations in th
11. Week  Double integrals: definition, properties, calculation of the regional transformations.
12. Week  Applications of double integrals: area, volume, mass, momentum accounts, there is the center of gravity and moment of inertia.
13. Week  Relative maxima and minima.Absolute maxima and minima.Lagrange multipliers.
14. Week  Least squares.Differentials.Taylor series for multivariable functions.Double integrals. Triple integrals: definition, properties, methods of calculat
15. Week  
16. Week  
 -- RECOMMENDED OR REQUIRED READING
  ROSE S.L., “Differential Equtions” Blaisdel Publishing Company AYRES Frank, “Diferensiyel Denklemler” Prof. Dr. İrfan Baki YAŞAR, “Uygulamalı Matematik” Gazi ÜniversitesiI
 -- PLANNED LEARNING ACTIVITIES AND TEACHING METHODS
  Lecture
 -- 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
20
20
 TOTAL WORKLOAD: 
151
 TOTAL WORKLOAD / 25: 
6.04
 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.