Course Name : Basic Mathematics-I

Degree:  Associate’s Degree

Code

Year/Semester

Local Credits

ECTS Credits

Course Implementation, Hours/Week

Course

Tutorial

Laboratory

MATH 1003

1/1 (fall)

3

4

3

0

-

Department

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

Instructors

Contact Information

Office Hours

Web page

http://www.pirireis.edu.tr

Course Type

 Compulsory

Course Language

Turkish

Course Prerequisites

  -

Course Category by Content, %

Basic Sciences

Engineering Science

Engineering Design

Humanities

100

Course Description

Numbers (Integers, fractional numbers, exponentials. Radicals, decimals and rounding), Algebra, Proportion, Deviation and Interpolation,Measure and Uncertainity in Measurement, Functions, Time and Angle Calculations,Trigonometry, Complex Numbers, Logarithm, Using the Mathematics  Scale, Geometry, Spherical Trigonometry, Vectors, Linear Algebra (Matrices and Determinants)

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. do the arithmetic and algebraic operations on numbers
2. have the knowledge about  methods of measurement and types of errors and  do errors account
3. describe a function,  and  determine the domain and range of functions, and sketch the graph of functions by using reflection, translation and scaling of graphs of functions
4. explain the trigonometric concepts and do the trigonometric conversions, have the knowledge about spherical trigonometry
5. write the complex numbers and do the operations on complex numbers,
6. calculate the areas and the volumes by recognizing the geometrical figures, write the equations of lines and planes using appropriate information
7. explain the correlation between exponential function and the logarithm
8. know vectors and properties
9. defines the concept of matrix and function of determinant and know properties of them, calculate the determinant of a matrix

Instructional Methods and Techniques

Tutorial Place

Co-term Condition

Textbook

Other References

Homework & Projects

Laboratory Work

Computer Use

Other Activities

Assessment Criteria

Activities

Quantity

Effects on Grading, %

Attendance

Midterm

1

40

Quiz

5

                        10

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

ECTS/

WORKLOAD TABLE

Activities

Count

Hours

Total

Workload

Lecture

14

3

42

Midterm

1

10

10

Quiz

5

       3

15

Homework

10

1

10

Term Paper/Project

Laboratory Work

Practices

1

14

                   14

Tutorial

Seminar

Presentation

Field Study

Final Exam

1

15

15

Total Workload

106

Total Workload/25

106/25

Course ECTS Credits

4

Week

Topics

Course Outcomes

1

Numbers ,Algebraic Operations, Factorization

I

2

First degree equations  in one and two variable

II

3

Power and root accounts, absolute value

III

4

Measurement and  uncertainty of  measurement

I-II-IV

5

Functions and Their Graphs, Combining Functions; Shifting and

Scaling Graphs

V

6

 Time and angel accounts, calculation methods in terms of  degree, minute and second

II-VI

7

Trigonometry, the use of trigonometric tables

Mid Term

II-VI

8

Complex Numbers, operations on complex numbers

II-VI

9

Logarithm, the use of logarithmic tables

II-VI

10

Planar geometry (triangle, square and circle)

II-VII

11

Areas and volumes of solids

VIII-IX

12

Spherical Trigonometry

VIII

13

Vector algebra, equality of vectors, dot product, cross product

VIII-IX

14

Matrices and determinants

IX

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

c

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

d

Ability to function on multi-disciplinary teams

e

An ability to identify, formulate, and solve professional problems

f

An understanding of professional and ethical responsibility

g

An ability to communicate effectively

h

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

i

A knowledge of contemporary issues

j

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

k

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

l

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

m

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

Course

I

II

III

IV

    V

    VI

Outcomes

Programme Outcomes

VII

VIII

IX

a

b

c

d

e

f

g

h

i

j

k

l

m