GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
CALCULUS I/MAT101
Course Title: CALCULUS 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
  Turkish
 -- 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 defined and indefinite integrals of the some special functions.

 -- MODE OF DELIVERY
  The type 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  Midterm; Application of Differentiation: Geometrical interpretation of differentiaition, absolute and local extremums, maxima and minima problems.
9. Week  Application of Differentiation: Geometrical interpretation of differentiaition, absolute and local extremums, maxima and minima problems.
10. Week  Graphic Drawing: Graphs of rational, irrational, exponenetial, logarithmic, trigonometric, hyperbolic and parametric functions.
11. Week  The Definition of Riemann Integrals and their properties
12. Week   Indefinite Integral : Differentiation of a function, definition of indefinite integral, propereties, basic integration formulas.
13. Week   Methods of Computing Integral : Integration by substitution, parts.
14. Week  Integral of Partial fractions, trigonometric and hyperbolic functions, integration by some special substitution.
15. Week  
16. Week  
 -- TEACHING and LEARNING METHODS
 -- ASSESSMENT CRITERIA
 
Quantity
Total Weighting (%)
 Midterm Exams
1
40
 Assignment
0
0
 Application
0
0
 Projects
0
0
 Practice
0
0
 Quiz
0
0
 Percent of In-term Studies  
40
 Percentage of Final Exam to Total Score  
60
 -- WORKLOAD
 Activity  Total Number of Weeks  Duration (weekly hour)  Total Period Work Load
 Weekly Theoretical Course Hours
14
4
56
 Weekly Tutorial Hours
0
0
0
 Reading Tasks
11
4
44
 Searching in Internet and Library
11
4
44
 Material Design and Implementation
0
0
0
 Report Preparing
0
0
0
 Preparing a Presentation
0
0
0
 Presentation
0
0
0
 Midterm Exam and Preperation for Midterm Exam
1
12
12
 Final Exam and Preperation for Final Exam
0
0
0
 Other (should be emphasized)
0
0
0
 TOTAL WORKLOAD: 
156
 TOTAL WORKLOAD / 25: 
6.24
 Course Credit (ECTS): 
6
 -- COURSE'S CONTRIBUTION TO PROGRAM
NO
PROGRAM LEARNING OUTCOMES
1
2
3
4
5
1To be able to evaluate the case in terms of physics.
2Improving experimental practicality.
3To earn the ability of problem solving and analysis.
4Analyzing current problems with physical thought.
5To learn the relationship between the courses taught in the other departments and to learn to use these features.
6To develop the ability to connect physics and mathematics and to model natural phenomena.
7Informing the audience correctly in an milieu where physics-related events are discussed.
8To learn how to use the acquired knowledge in the development of society.
9To have a competing personality to compare the acquired knowledge with those given in similar institutions and to go further.
10To have a self-confident personality in the international scientific arena.
11To have the ability to follow every development related to his / her profession and to use the acquired knowledge.
12To educate people who are aware that scientific work will never end and should always be studied.
 -- NAME OF LECTURER(S)
   (Mathematics Department Teaching Members)
 -- WEB SITE(S) OF LECTURER(S)
   (http://matematik.gazi.edu.tr/)
 -- EMAIL(S) OF LECTURER(S)
   (fefmatematik@gazi.edu.tr)