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DMYO Kurulu Karar No:

Course Name :Basic Mathematics-II

Degree:  Associate’s Degree

Code

Year/Semester

Local Credits

ECTS Credits

Course Implementation, Hours/Week

Course

Tutorial

Laboratory

MAT1004

1/2

3

4

3

0

-

Department

Marine Transportation and Management, Marine Engineering, Yacth Operation and Management, Ship Construction, Maritime and Port Management, Mechatronics,

Maritime Brokerage, Logistics, Computer Programming

Instructors

Instr. Azime Çetinkaya

Contact Information

Piri Reis University, Tuzla-Istanbul

Phone: +90 216 5810050

Ext:1669

E-mail: acetinkaya@pirireis.edu.tr

Office Hours

Web page

http://www.pirireis.edu.tr

Course Type

 Compulsory

Course Language

Turkish

Course Prerequisites

  MAT 1003

Course Category by Content, %

Basic Sciences

Engineering Science

Engineering Design

Humanities

100

Course Description

Limits and Continuity, Differentiation, Graphs, Differential ,  İntegration and Methods of Integration, Area and Volume Computations, Series (Taylor-Maclaurin Series), Ellipse and Hyperbola

Course Objectives

1. To ensure that constitute the infrastructure for vocational courses of mathematics

2. To develop logic thinking

Course Learning Outcomes

Upon successful completion of the course, students should be able to

1. take the limit of a function and search for continuity
2. use differentiation in sketching  the graphs and in finding extreme values of functions
3. evaluate integrals and  apply integration to compute area and volume
4. integrate various functions by using techniques of integration     
5. find the Taylor or Mclaurin series of a given function
6. explain the concepts of the ellipse and the hyperbola and their properties

Instructional Methods and Techniques

Lecture, problem solving

Tutorial Place

Co-term Condition

Textbook

Temel Matematik (Meslek Yüksek Okulu ve Teknik Eğitim Fakülteleri İçin) , Mustafa BALCI, Sürat Üniversite Yayınları/ Eğitim Dizisi, İstanbul, 2013.
 

Other References

1. Yüksek Matematik, Ahmet A. Karadeniz
2. Çözümlü Yüksek Matematik –Calculus-Problemleri 1, Doç. Dr. Cevdet CERİT, İstanbul, 2006.

Homework & Projects

Laboratory Work

Computer Use

Other Activities

Assessment Criteria

Activities

Quantity

Effects on Grading, %

Attendance

Midterm

1

30

Quiz

5

20

Homework

Term Paper/Project

Laboratory Work

Practices

Tutorial

Seminar

Presentation

Field Study

Final Exam

1

50

TOTAL

100

Effects of Midterm on Grading, %

50

Effects of Final on Grading, %

50

TOTAL

100

Week

Topics

Course Outcomes

1

One-sided limits, continuity, Limits Involving Infinity

I

2

Differentiation and Differentiation Rules

II

3

Implicit differentiation, Parametric Functions and their derivatives, Higher order differentiation

II

4

Geometric interpretation of the derivative, increasing and decreasing functions

II

5

Maximum and minimum value problems, sketching of a function

II

6

Indeterminate forms, L’Hospital’s Rule

II

7

Differential, Fundamental Theorem of Calculus, Indefinite Integrals

Midterm

III

8

Substitution and integration by parts

III-IV

9

Trigonometric Integrals, Integration of Rational Functions by Partial Fractions, Partial Fractions

III-IV

10

Definite integral, area between two curves

III-IV

11

Volumes of solids of revolution

III-IV

12

Taylor and  Mclaurin series

V

13

Ellipse and its properties

VI

14

 Hyperbole and its properties

VI

Program Outcomes

Level of Contribution

1

2

3

a

An ability to apply knowledge of mathematics, physics and chemistry

X

b

An  ability to design and conduct experiments, as well as to analyze and interpret data

X

c

An ability to design a system, component or process to meet desired needs

X

d

Ability to function on multi-disciplinary teams

X

e

An ability to identify, formulate, and solve professional problems

X

f

An understanding of professional and ethical responsibility

X

g

An ability to communicate effectively

X

h

A recognition of the need for, and an ability to engage in life-long learning

X

i

A knowledge of contemporary issues

X

j

An ability to use the techniques, skills and modern professional tools necessary for professional practice

X

k

An ability to apply legal, societal and environmental knowledge in maritime transport and in all respective modes of transport operations.

X

l

An ability to interpret and analysis of the data regarding maritime management and operations, recognition and solution of problems for decision making process.

X

m

An ability to do business, follow up, control, reporting and development of business in international environment

X

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