Course Name : Mathematics I

Degree: Bachelor

Code

Year/Semester

Local Credits

ECTS Credits

Course Implementation, Hours/Week

Course

Tutorial

Laboratory

EF 114

1/1 (fall)

3.5

7

3

1

-

Department

Instructors

Assist. Prof. Dr. Emre CAKMAK

Contact Information

e-mail: emre.cakmak@pirireis.edu.tr

Office Hours

Wednesday 09:00- 12:50

Web page

http://www.pirireis.edu.tr/pruonline/www/index.php

Course Type

 Compulsory

Course Language

English

Course Prerequisites

  None

Course Description

Introduction and Basic Concepts / Applications of Equations and Inequalities / Graphs / Systems of Equations / Exponential and Logarithmic Functions / Applications: Math. Finance / Limits / Continuity / Differentiation

Course Objectives

This course together with its follow up will be an extensive introduction to the differentiation and integral calculus. Topics covered here will provide you with the required mathematical foundation on which you will have the chance to master your skills in your own major fields. The quantitative side of Social Sciences becomes more and more demanding and involving so that the abilities required for a competitive set of skills goes through a profound mathematical background.

Course Learning Outcomes

By students who passed from EF114 Mathematics I successfully

Students will be able to

1. Apply equations to various practical situations.
2. Introduce constant functions, functions, rational functions, case-defined functions, the absolute-value function, and factorial notation.
3. Develop the notion of slope and different forms of equations of lines and sketch parabolas arising from quadratic functions.
4. Extend the notion of compound interest to include effective rates and to solve interest problems whose solutions require logarithms.
5. Apply limits and their basic properties in different types of problems
6. Apply sketch a tangent line to a curve, to define the slope of a curve, and to define a derivative and give it a geometric interpretation.
7. Apply the basic rules for differentiating constant functions, a multiplication/division of two functions and power functions

Instructional Methods and Techniques

Theoretical and practical lectures

Tutorial Place

-

Co-term Condition

-

Textbook

Introductory Mathematical Analysis for Business, Economics, and the Life and Social Sciences, Pearson Education, E. Haeussler, R. Paul, R. Wood.

Other References

Homework & Projects

Laboratory Work

Computer Use

Other Activities

Quizzes will be managed after the lecture subjects in some weeks.

Assessment Criteria

Activities

Quantity

Effects on Grading, %

Attendance

Midterm

1

30

Quiz

4

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

Introduction and Basic Concepts I

I

2

Basic Concepts II

I, II

3

Applications of Equations and Inequalities

I, II, IV

4

Graphs I

II, III

5

Graphs II

II, III

6

Systems of Equations

II, III

7

Midterm

8

Systems of Equations

II, III

9

Exponential and Logarithmic Functions

I, II, III

10

Applications: Math. Finance

IV

11

Limits

V

12

Continuity

V

13

Differentiation I

VI, VII

14

Differentiation II

VI, VII

Program Outcomes

Level of Contribution

1

2

3

a

An ability to apply knowledge of mathematics, science, and engineering

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

d

Ability to function on multi-disciplinary teams

e

An ability to identify, formulate, and solve engineering problems

X

f

An understanding of professional and ethical responsibility

X

g

An ability to communicate effectively

X

h

The broad education necessary to understand the impact of engineering solutions in a global and societal context

i

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

j

A knowledge of contemporary issues

k

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

X

l

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

X

m

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

X