GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
MATHEMATICS-I/MAT-101
Course Title: MATHEMATICS-I
Credits 4 ECTS 6
Semester 1 Compulsory/Elective Compulsory
COURSE INFO
 -- LANGUAGE OF INSTRUCTION
  Turkish
 -- NAME OF LECTURER(S)
  Assist. Prof. Dr. Fatih ŞAHİN
 -- WEB SITE(S) OF LECTURER(S)
  http://websitem.gazi.edu.tr/site/fasahin
 -- EMAIL(S) OF LECTURER(S)
  fasahin@gazi.edu.tr
 -- LEARNING OUTCOMES OF THE COURSE UNIT
Upon completion of the course the student will be able to:
know function types, sketch function graphs, transform function graphs,
model a real world system with an appropriate function type,
solve linear equation systems,
sketch graph of a polar equation and convert the equation to rectangular coordinates,
perform the dot product and the cross product of vectors, obtain equations of lines and planes
identify type of a conic equation and sketch of its' graph,
find limit of a function,
obtain tangent line of a function at a specified point,
calculate area using limit.
 -- MODE OF DELIVERY
  The mode of delivery of this course is Face to face
 -- PREREQUISITES AND CO-REQUISITES
  There is no prerequisiteco-requisite for this course.
 -- RECOMMENDED OPTIONAL PROGRAMME COMPONENTS
  There is no recommended optional programme component for this course.
 --COURSE CONTENT
1. Week  Fundamentals, equations, inequalities, coordinate geometry, line equations
2. Week  Functions, graphs of functions, transformaion of functions, combining of functions, average rate of change of funcstions
3. Week  Polynomial functions, quadratic functions, dividing polynomials, complex numbers, complex zeros, rational functions
4. Week  Exponential functions, natural exponential functions, logarithmic functions, laws of loharitms, exponential and logaritmic equations
5. Week  Trigonometric functions, unit circle approach, trigonometric graphs, inverse trigonometric functions and their graphs
6. Week  Trigonometric functions, right triangle approach, angle measure, trigonometry of right triangles, thw law of sines, the law of cosines
7. Week  Analytic trigonometry, trigonometric identities, addition, subtraction, double angle, half angle, production-sum formulas, trigonometric equations
8. Week  Midterm exam
9. Week  Polar coordinates, polar equations and their graphs, polar form of complex numbers, plane curves and parametric equations
10. Week  Vectors in two dimensions, the dot product, three-dimensional coordinate geometry, the cross product, equations of lines and planes
11. Week  Linear equation systems, matrix algebra, determinants and Cramer's rule, partial fractions, systems of nonlinear equation, systems of inequalities
12. Week  Conic sections, parabolas, ellipses, hyperbolas, shifted conics, rotation of axes, polar equations of conics
13. Week  Sequences and series, arithmetic and geometric sequences, the binomial theorem
14. Week  Limits, finding limits, tangent lines and derivatives, limits at infinity, limits of sequences, areas
15. Week  Limit applications
16. Week  Final exam
 -- RECOMMENDED OR REQUIRED READING
  1. Stewart, J., Redlin, L., Watson, S., Precalculus: Mathematics for Calculus, Sixth edition, 2012.
 -- PLANNED LEARNING ACTIVITIES AND TEACHING METHODS
  Lecture, Question & Answer, Drill - Practise
 -- WORK PLACEMENT(S)
  Not Applicable
 -- ASSESSMENT METHODS AND CRITERIA
 
Quantity
Percentage
 Mid-terms
1
30
 Assignment
0
0
 Exercises
0
0
 Projects
0
0
 Practice
0
0
 Quiz
2
20
 Contribution of In-term Studies to Overall Grade  
50
 Contribution of Final Examination to Overall Grade  
50
 -- 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
14
4
56
 Designing and Applying Materials
0
 Preparing Reports
0
 Preparing Presentation
0
 Presentation
0
 Mid-Term and Studying for Mid-Term
1
18
18
 Final and Studying for Final
1
20
20
 Other
0
 TOTAL WORKLOAD: 
150
 TOTAL WORKLOAD / 25: 
6
 ECTS: 
6
 -- COURSE'S CONTRIBUTION TO PROGRAM
NO
PROGRAM LEARNING OUTCOMES
1
2
3
4
5
1Capability of obtaining adequate knowledge in mathematics, science and engineering subjects in the automotive field; applying theoretical and practical knowledge for modeling and solving engineering problems in this field.X
2Capability of formulation and solving engineering problems; for this purpose selecting and appliying the appropriate analysis and modeling methods.X
3Capability of evaluation of engine and vehicle design projects, designing any engine and vehicle parts, to bring prototype and series production stage.X
4Capability of design of complex systems for specific needs, component or process in whole or in part.X
5Capability of development of modern methods and tools necessary for engineering applications, selection and effective use and to use of information technologies effectively.X
6Capability of analysis of the engineering problems and for the solution designing and performing experiments, collecting data, analyzing and interpretting the results.X
7Capability of work in team and individual and ability to work effectively with other disciplines.X
8Capability of effective communication both verbal and written in Turkish and at least one foreign language konwledgeX
9Capability of access to information in the framework of lifelong learning, to follow the developments in science and technology and self-improvement.X
10Resposibility of professional and ethical liability.X
11Awareness of leadership, entrepreneurship, innovation and sustainable development in business life.X
12Being competent in the engineering applications, legislations, legal consequences and in the field of occupational health and safety.X
13Capability of research and application in the subjects of noise, environment and emissions.X
14Capability of making education in the field.X