COURSE UNIT TITLE

: MATHEMATICS IV

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
MEN 2036 MATHEMATICS IV COMPULSORY 4 0 0 4

Offered By

Marine Engineering

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

ASSOCIATE PROFESSOR BURAK KARABEY

Offered to

Marine Engineering

Course Objective

The main goal of this fundamental mathematics course is to establish a way thinking that will bridge physical problems of engineering to differential equations. To supply the students the right tools to set up and handle these types of equations. To establish a sound basis for more advanced mathematical courses and engineering formation.

Learning Outcomes of the Course Unit

1   Understand Data and Relations between parameters
2   Explain definitions and fundamental theorems
3   Establish a way thinking that will bridge physical problems of engineering to Probability and Statistics
4   Apply mathematical solution to physical and engineering applications

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Introduction to Statistics and Data Analysis
2 Probability
3 Random Variables and Probability Distributions
4 Mathematical Expectation
5 Some Discrete Probability Distributions
6 Some Continuous Probability Distributions
7 Midterm Exam
8 Hypothesis Testing, Introduction, Tests for Proportions
9 One Sample Tests for Means and Variances
10 Two-Sample Tests for Means and Variances, ANOVA
11 Covariance and Correlations
12 Simple Linear Regression
13 Multiple Linear Regression
14 Factorial Experiments

Recomended or Required Reading

1. W. E. Boyce and R. C. DiPrima, Elementary Differential Equations and Boundary Value Problems, 6th ed. John Wiley & Sons, 1997
2. Shepley L. Ross, Differential Equations, John Wiley New York, 1984
3. Clay C. Ross, Differential Equations: an introduction with Mathematica, New York, Springer-Verlag, 1995
4. Stephen W. Goode, An Introduction to Differential Equations and Linear Algebra, N. J. , Prentice Hall, 1991
5. Lawrence Perko, Differential Equations and Dynamical Systems, New York, Springer-Verlag, 1996

Planned Learning Activities and Teaching Methods

Cooperative and active teaching and learning strategies

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 MTE MIDTERM EXAM
2 FINS FINAL EXAM
3 FCG FINAL COURSE GRADE MTE * 0.40 + FINS * 0.60
4 RST RESIT
5 FCGR FINAL COURSE GRADE (RESIT) MTE * 0.40 + RST * 0.60


*** Resit Exam is Not Administered in Institutions Where Resit is not Applicable.

Further Notes About Assessment Methods

None

Assessment Criteria

To be announced.

Language of Instruction

English

Course Policies and Rules

To be announced.

Contact Details for the Lecturer(s)

To be announced.

Office Hours

To be announced.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 13 4 52
0
Preparation for midterm exam 1 6 6
Preparation for final exam 1 12 12
Preparations before/after weekly lectures 13 2 26
Final 1 2 2
Midterm 1 2 2
TOTAL WORKLOAD (hours) 100

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11PO.12PO.13PO.14PO.15PO.16PO.17PO.18PO.19PO.20
LO.1555
LO.255
LO.3555555
LO.455