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Mathematics I

PİRİ REİS UNIVERSITY

FACULTY OF ECONOMICS AND ADMINISTRATIVE SCIENCES

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