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SÜRMENE FACULTY of MARINE SCIENCES / DEPARTMENT of FISHERIES TECHNOLOGY ENGINEERING

Course Catalog
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SDBF
SÜRMENE FACULTY of MARINE SCIENCES / DEPARTMENT of FISHERIES TECHNOLOGY ENGINEERING /
Katalog Ana Sayfa
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MAT1011Mathematics - I4+0+0ECTS:5
Year / SemesterFall Semester
Level of CourseFirst Cycle
Status Compulsory
DepartmentDEPARTMENT of FISHERIES TECHNOLOGY ENGINEERING
Prerequisites and co-requisitesNone
Mode of Delivery
Contact Hours14 weeks - 4 hours of lectures per week
LecturerDoç. Dr. Devran YAZIR
Co-LecturerAsst. Prof. Dr. Devran YAZIR
Language of instructionTurkish
Professional practise ( internship ) None
 
The aim of the course:
The course aims to provide the basic information about functions, limit, derivative, integral as well as their appicaitons in various disciplines including physical and engineering sciences.
 
Learning OutcomesCTPOTOA
Upon successful completion of the course, the students will be able to :
LO - 1 : clasify numbers and understand functions and their properties1,31
LO - 2 : know the concepts of limit and continuity of functions1,31
LO - 3 : know the concepts of derivatives of functions1,31
LO - 4 : apply of the derivative to some engineering problems1,31
LO - 5 : know the concepts of integral of functions1,31
LO - 6 : apply the integration to some engineering problems and to some applications1,31
CTPO : Contribution to programme outcomes, TOA :Type of assessment (1: written exam, 2: Oral exam, 3: Homework assignment, 4: Laboratory exercise/exam, 5: Seminar / presentation, 6: Term paper), LO : Learning Outcome

 
Contents of the Course
Functions (polynomials, rational, trigonometric, hyperbolic, exponential, logarithmic and inverse trigonometric functions) graphs of basic functions, shifting and scaling graphs, limit, continuity, differentiation and applications (Intermediate Value Theorem, L'hopital's rule, Mean Value Theorem, Optimization problems, sketching the graph of a function), integration techniques
 
Course Syllabus
 WeekSubjectRelated Notes / Files
 Week 1Definition of function, Introduction to function types, Summation, subtraction etc. properties of functions,
 Week 2Graphs of basic functions and shifting graphs, Inverse functions
 Week 3Trigonometric functions, Inverse trigonometric functions
 Week 4Logarithmic, exponential and hyperbolic functions
 Week 5Limit, limit computation rules. Formal definition of limit One-sided limits
 Week 6Continuity, properties of continuous functions, Intermediate Value Theorem Limits at infinity and infinite limits, asymptotes of graphs
 Week 7Derivative of a function, geometrical meaning of derivative, Differentiation rules, Derivatives of trigonometric functions, inverse trigonometric functions, logarithmic and exponential functions.
 Week 8Chain rule, Implicit differentiation Higher order derivatives L?hospital?s rule
 Week 9Midterm exam.
 Week 10Applications of differentiation (maximum-minimum and Mean Value Theorem) First and second derivative tests
 Week 11Sketching the graph of a function by analyzing changes.
 Week 12Optimization problems
 Week 13Indefinite integrals (Anti-derivatives) Methods of integration (change of variables, integration by parts)
 Week 14Partial fractions, Integrals of trigonometric (rational) functions.
 Week 15Elimination of incomplete parts, general assessment
 Week 16Final exam
 
Textbook / Material
1Thomas, G.B., Weir, M.D., Hass, J., Thomas' Calculus, 12th Edition, 2009, Pearson, USA.
 
Recommended Reading
1Stewart, James, Calculus(Early transcendentals), 6th Edition, Thomson Brooks/Cole, 2008, USA.
2Adams, R.A., Essex, C., Calculus a Complete Course, 2010, Pearson, USA.
 
Method of Assessment
Type of assessmentWeek NoDate

Duration (hours)Weight (%)
Mid-term exam 9 22/11/2021 1 50
End-of-term exam 16 10/01/2022 1 50
 
Student Work Load and its Distribution
Type of workDuration (hours pw)

No of weeks / Number of activity

Hours in total per term
Yüz yüze eğitim 4 14 56
Sınıf dışı çalışma 5 14 70
Arasınav için hazırlık 9 1 9
Arasınav 15 1 15
Dönem sonu sınavı için hazırlık 10 1 10
Dönem sonu sınavı 2 1 2
Total work load162