GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION

Analysis I/KİM103G

Course Title:	Analysis I
Credits	4	ECTS	5
Semester	1	Compulsory/Elective	Compulsory

COURSE INFO

-- LANGUAGE OF INSTRUCTION

Analysis I

-- NAME OF LECTURER(S)

Asst.Prof.Dr. Sevgi Atlıhan

-- WEB SITE(S) OF LECTURER(S)

www.gazi.edu.tr\asaevgi

-- EMAIL(S) OF LECTURER(S)

asevgi@gazi.edu.tr

-- LEARNING OUTCOMES OF THE COURSE UNIT

The student will be able to interpret a function from an algebraic, numerical, graphical and verbal perspective and extract information relevant to th
The student will be able to verify the value of the limit of a function at a point using the definition of the limit
The student will be able to find points of discontinuity for functions and classify them.
The student will be able to understand the consequences of the intermediate value theorem for continuous functions
The student will be able to interpret the derivative of a function at a point the as the instantaneous rate of change in the quantity modeled and stat
The student will be able to interpret the derivative of a function at a point as the slope of the tangent line and estimate its value from the graph
The student will be able to interpret the value of the first and second derivative as measures of increase and concavity of a functions
The student will be able to identify the extrema of a function on an interval and classify them as minima , maxima or saddles using the first derivati
The student will be able to understand the consequences of Rolle’s theorem and the Mean Value theorem for differentiable functions
The student will be able to ction at a point using the definition of the limit calculate the limit of a function at a point numerically and algebraica

-- MODE OF DELIVERY

The mode of delivery of this course is to Face to face

-- PREREQUISITES AND CO-REQUISITES

There is no prerequisite or co-requisite for this

-- RECOMMENDED OPTIONAL PROGRAMME COMPONENTS

There is no recommended optional programme component for this course.

--COURSE CONTENT
1. Week	Sets,numbers, powers and roots, quadratic equations and inequalities, analyticity, the analytical examination of the circle
2. Week	The concept of function, some special functions, some practical illustrations
3. Week	Trigonometric functions, inverse trigonometric functions
4. Week	Exponential and logarithmic functions, hyperbolic functions and their inverses
5. Week	Limit, the right and left-sided limits and limits of some trigonometric
6. Week	Continuity and properties of continuous functions on a closed interval
7. Week	The concept of derivative, the derivative and the inverse function derivative of the general rules
8. Week	Midterm exam
9. Week	Derivative of the trigonometric functions, derivative of the inverse trigonometric functions, derivative of the logarithmic function and derivative of
10. Week	Derivatives of the hyperbolic and inverse hyperbolic function, derivative of parametric functions, derivative of the function defined as closed, deriv
11. Week	The geometrical meaning of derivative,convexity and determination of the maximum-minimum points
12. Week	Theorems on derivatives, L'Hospital's rule and applications of L'Hospital's rule
13. Week	Theorems on derivatives, L'Hospital's rule and applications of L'Hospital's rule and
14. Week	Drawing curve
15. Week
16. Week

-- RECOMMENDED OR REQUIRED READING

1.CALCULUS AND ANALYTIC GEOMETRY, R. C. Fisher- A. D. Ziebur. 2.Genel Matematik, Mustafa Balcı

-- PLANNED LEARNING ACTIVITIES AND TEACHING METHODS

Lecture, Question & Answer, Demonstration, Drill - Practise

-- WORK PLACEMENT(S)

-- ASSESSMENT METHODS AND CRITERIA

	Quantity	Percentage
Mid-terms	1	30
Assignment	1	10
Exercises	0	0
Projects	0	0
Practice	0	0
Quiz	0	0
Contribution of In-term Studies to Overall Grade		40
Contribution of Final Examination to Overall Grade		60

-- 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	12	2	24
Searching in Internet and Library	12	2	24
Designing and Applying Materials			0
Preparing Reports			0
Preparing Presentation			0
Presentation			0
Mid-Term and Studying for Mid-Term	7	2	14
Final and Studying for Final	7	2	14
Other			0
TOTAL WORKLOAD:			132
TOTAL WORKLOAD / 25:			5.28
ECTS:			5

-- COURSE'S CONTRIBUTION TO PROGRAM

NO	PROGRAM LEARNING OUTCOMES	1	2	3	4	5
1	Perceives the structure, features, classification and the changes of the matter and explains the related concepts, models, principles, theories and laws used.			X
2	Explains the working principles of the methods or the devices used the analysis or the syntheses of substances.			X
3	Establishes the link between the philosophy, sociology, psychology and history and the science of chemistry and explains the importance of scientific knowledge.	X
4	Relates between knowledge in chemistry and other disciplines.				X
5	Describes teaching techniques and strategies such as inquiry , concept maps, meaning analyzing tables, argumentation and guess-observe –explain techniques by the use of relevant examples from chemical science topics to 9-12 year students.			X
6	Perceives the behavioral, descriptive , socio-cognitive and neuropsychological learning concepts and their limitations and explains their reflections to the chemistry teaching and learning process.
7	Investigates the contribution of the national and international cultures upon the various branches of science and especially chemistry and explains the viewpoints of these cultures on the current disputable social science subjects.
8	Realizes the problems related to the chemistry and chemical education, analyses them and develops solution by the use of scientific research techniques.			X
9	Analyses the pre-knowledge of and the learning difficulties of the students related to chemistry and applies to relevant teaching techniques and methods according to the capacity and the skills of the students.			X
10	Prepares models, games , experimental set ups and visual lecture notes related to chemistry for the contribution of the cognitive, descriptive and psychomotor skills of the students		X
11	Develops and applies alternative and authentic techniques such as open ended, multiple choice , fill the gaps , descriptive, branched tree and constructed grid questions for the evaluation of the learning outcomes of the various subjects of chemistry			X
12	Designs and implements an individual research for the solution of the any problem in teaching any chemistry concepts and carries out mutual projects in close coordination with his/her counterparts to contribute the chemistry and chemistry education
13	Defines the metacognitive activities such as self-regulation and self-evaluation to evaluate the knowledge in chemistry and chemistry education
14	Adapts the motto of lifelong learning as his/her lifestyle and effectively utilizes the internet systems to follow the new developments related to the chemistry and chemistry education			X
15	Follows and effectively uses the latest developments in the information technology related to the solutions of the problems encountered in chemistry and chemistry education			X
16	Follows and uses the latest developments related to the teaching profession and knows a foreign language enough to correspond with his/her counterparts	X
17	Realizes and uses the basic principles, values and virtues upon which the Turkish Education system is founded
18	Uses new knowledge and information in order to improve him/herself and develop his/her institution		X
19	Acts in accordance with the ethical and cultural values of the democratic and scientific society in all the applications related to chemistry and its education		X
20	Has a sufficient knowledge to protect the health and life of his/her students and staff working in his/her institution and takes necessary precautions in the laboraties.

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GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR