FACULTY OF ENGINEERING
GEOMATICS ENGINEERING
Course Name   MATHEMATICS-1
Semester Course Code Theoretical / Practice time ECTS
1 1205103 4 / 2 10
Course Degree Bachelor's degree
Course Language Turkish
Format of Delivery: Face to Face
Course Coordinator Assoc. Prof. Dr. Abdullah Selçuk KURBANLI
Coordinator e-mail aselcuk.kurbanli selcuk.edu.tr
Instructors
Doç. Dr. Abdullah Selçuk KURBANLI , Dr. Öğr. Üyesi Mehmet Emre ERDOĞAN
Asistant Instructors
Course Objectives Calculuss methods, practices and ways of mathematical thinking exercises and examples to develop and recognize the concepts of the theory in a readable order and communicate mathematical ideas to unleash incorporated in physical and mathematical topics, especially about providing accurate and based on differentiation and integration in a way that make sense to do the unthinkable.
Basic Sciences Engineering Scinces Social Sciences Educational Sciences Artistic sciences Medical Science Agricultural sciences
100 0 0 0 0 0 0
Course Learning Methods and Techniquies
Course teaching methods: lectures, question and answer, Practice and implementation, Problem solving. Course Measurement Techniques: Exam, Homework
Week Course Content Resource
1 Functions Functions and Graphs, functions in the Combine Charts and Scale Wrap, trigonometric functions G. B. Thomas, M. D. Weir and J. R. Hass, Thomas Calculus, 1st Volume, 12. Printing translation, 1. Edition, Pearson Publishing, Ankara, 2011.
2 Limits and continuity Exchange rates and tangents of curves, Limit of a function and Limit rules, Definitely definition of limit and one sidely (right and left) Limits G. B. Thomas, M. D. Weir and J. R. Hass, Thomas Calculus, 1st Volume, 12. Printing translation, 1. Edition, Pearson Publishing, Ankara, 2011.
3 Continuity, infinitely Contains Limits Asimptots of graphs, Derivatives Tangents and derivative at a point, As a function derivative, and its derivatives, Differentiation Rules, and As the rate of change derivative. G. B. Thomas, M. D. Weir and J. R. Hass, Thomas Calculus, 1st Volume, 12. Printing translation, 1. Edition, Pearson Publishing, Ankara, 2011.
4 Derivatives of trigonometric functions, chain rule, indoor Functions Derivative, relative proportions, Lineerleştirme and Differantials are separated, the applications of derivatives Higher Order Values Of Functions G. B. Thomas, M. D. Weir and J. R. Hass, Thomas Calculus, 1st Volume, 12. Printing translation, 1. Edition, Pearson Publishing, Ankara, 2011.
5 Mean value theorem, the first Derivative test, Konkavlık and Monotone functions and Curve Sketching, applied Optimization Problems and reverse Variants G. B. Thomas, M. D. Weir and J. R. Hass, Thomas Calculus, 1st Volume, 12. Printing translation, 1. Edition, Pearson Publishing, Ankara, 2011.
6 Integral Alan and finite Totals like to assume, the Sigma Notation and finite limits of definite İntegral, fundamental theorem of Kalkülüsün, Totals, indefinite integrals, and Put Methods, variable Transforms and Curves Between Fields G. B. Thomas, M. D. Weir and J. R. Hass, Thomas Calculus, 1st Volume, 12. Printing translation, 1. Edition, Pearson Publishing, Ankara, 2011.
7 Applications Of Integrals In Particular Rotary-Sections by using the locate in Cylindrical Volume Kabuklarla Volume (cut your apples) to Find the length of Arc G. B. Thomas, M. D. Weir and J. R. Hass, Thomas Calculus, 1st Volume, 12. Printing translation, 1. Edition, Pearson Publishing, Ankara, 2011.
8 Rotational Surface areas, Moments and weight Centers G. B. Thomas, M. D. Weir and J. R. Hass, Thomas Calculus, 1st Volume, 12. Printing translation, 1. Edition, Pearson Publishing, Ankara, 2011.
9 Transandant Functions Inverse functions and derivatives, natural logarithm, exponential functions and Exponential Change G. B. Thomas, M. D. Weir and J. R. Hass, Thomas Calculus, 1st Volume, 12. Printing translation, 1. Edition, Pearson Publishing, Ankara, 2011.
10 Midterm exam
11 Vague shapes and LHospital Rule, the inverse trigonometric Functions G. B. Thomas, M. D. Weir and J. R. Hass, Thomas Calculus, 1st Volume, 12. Printing translation, 1. Edition, Pearson Publishing, Ankara, 2011.
12 Hyperbolic functions and Relative Growth rates, Integration Techniques Partial Integration G. B. Thomas, M. D. Weir and J. R. Hass, Thomas Calculus, 1st Volume, 12. Printing translation, 1. Edition, Pearson Publishing, Ankara, 2011.
13 Integrals and trigonometric Conversions G. B. Thomas, M. D. Weir and J. R. Hass, Thomas Calculus, 1st Volume, 12. Printing translation, 1. Edition, Pearson Publishing, Ankara, 2011.
14 Rational Functions İntegrasyonu have fun at work and Partial Numeric Integration G.. B. Thomas, M. D. Weir and J. R. Hass, Thomas Calculus, 1st Volume, 12. Printing translation, 1. Edition, Pearson Publishing, Ankara, 2011.
15 Generalized Integrals. G. B. Thomas, M. D. Weir and J. R. Hass, Thomas Calculus, 1st Volume, 12. Printing translation, 1. Edition, Pearson Publishing, Ankara, 2011.
Assesment Criteria   Mid-term exam Final exam
  Quantity Percentage Quantity Percentage  
Term Studies : - - - -
Attendance / Participation : - - - -
Practical Exam : - - - -
Special Course Exam : - - - -
Quiz : - - - -
Homework : - - - -
Presentations and Seminars : - - - -
Projects : - - - -
Workshop / Laboratory Applications : - - - -
Case studies : - - - -
Field Studies : - - - -
Clinical Studies : - - - -
Other Studies : - - - -
Mid-term exam   1 40 - -
Final exam   - - 1 60
ECTS WORK LOAD TABLE   Number Duration
Course Duration : 14 6
Classroom Work Time : 14 10
Presentations and Seminars : - -
Course Internship : - -
Workshop / Laboratory Applications : - -
Field Studies : - -
Case studies : - -
Projects : - -
Homework : - -
Quiz : - -
Mid-term exam : 1 34
Final Exam : 1 42
ECTS 10
No COURSE LEARNING OUTCOMES CONTRIBUTION
D.Ö.Ç. 1 Recognizes function and some special functions 3
D.Ö.Ç. 2 States taking limit on one point of functions 3
D.Ö.Ç. 3 Uses the properties of continuous functions. 3
D.Ö.Ç. 4 Explains the concept of the derivative. 3
D.Ö.Ç. 5 Compares the physical and geometric meaning of the derivative. 3
D.Ö.Ç. 6 Comments theorems related derivative. 3
D.Ö.Ç. 7 Calculates limit on indefinitely expressions 3
D.Ö.Ç. 8 Describes the drawing of the curve. 3
D.Ö.Ç. 9 Recognizes the concept of indefinite integral and learns techniques of taking integral. 3
D.Ö.Ç. 10 Applicates techniques of taking integral. 3
D.Ö.Ç. 11 Understands applications of definite integral and solves its problems. 3
D.Ö.Ç. 12 Learns numerical integration. 3
D.Ö.Ç. 13 Recognizes generalized integrals and interprets its properties. 3
* 1: Zayıf - 2: Orta - 3: İyi - 4: Çok İyi
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