COURSE UNIT TITLE

: MATHEMATICS I

DEGREE PROGRAMMES

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
MTE 1101 MATHEMATICS I COMPULSORY 4 0 0 4

Offered By

Marine Transportation Engineering

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

ASSISTANT PROFESSOR BURAK KÖSEOĞLU

Offered to

Marine Transportation Engineering

Course Objective

1.To provide the concepts of functions, limits, continuity, differentiation and integration
2.To provide the knowledge of applications of differentiation and integration
3.To give an ability to apply knowledge of mathematics on engineering problems

Learning Outcomes of the Course Unit

1   Compute the limit of various functions, use the concepts of the continuity, use the
2   Sketch the graph of a function using asymptotes, critical points and the derivative
3   Set up max/min problems and use differentiation to solve them
4   Evaluate integrals by using the Fundamental Theorem of Calculus
5   Apply integration to compute areas and volumes , volumes of revolution and

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Preliminaries: Equations of a straight line, a circle. Functions Review of precalculus
2 Introduction o Limit, Infinite Limits and Limit at Infinity, Continuity
3 Tangent line and its slopes. The Derivative
4 The Derivative
5 Higher order derivatives, implicit differentiation. Initial value Problems.
6 Inverse, exponential, logarithmic functions and its derivatives.
7 Inverse trigonometric functions, related rates
8 Midterm
9 Extreme values, concavity, inflection points and sketching graphs
10 Linear Approximations, Taylor Polynomials, Indeterminate forms, Sums and Sigma notations.
11 Definite integrals and areas as limits of sums.
12 Fundamental theorem of Calculus. Method of Substitution. Areas of Planes
13 Integration by Parts, Integrals of Rational Functions
14 Volume, Arc lenght, Surface Area

Recomended or Required Reading

Calculus: A Complete Course, 8th Edition, Robert A.Adams, Chistopher Essex.
Thomas' Calculus, Multivariable (13th Edition) , George B. Thomas Jr. ,Maurice D. Weir , Joel R. Hass.

Planned Learning Activities and Teaching Methods

Literature review , Solving problems , Presentation and discussion.

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

In relation to Mathematics topics at undergraduate level, skills and competencies in having knowledge , research, interpretation, verbal and written expression, solving problems will be evaluated.

Language of Instruction

English

Course Policies and Rules

To be announced.

Contact Details for the Lecturer(s)

Asst. Prof. Dr. Hande Tunçel Gölpek
phone: 0232 301 88 22
e-mail: hande.tuncel@deu.edu.tr

Office Hours

To be announced.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 13 4 52
Preparations before/after weekly lectures 14 2 28
Preparation for final exam 1 8 8
Preparation for midterm exam 1 4 4
Midterm 1 2 2
Final 1 2 2
TOTAL WORKLOAD (hours) 96

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.17
LO.15353
LO.25353
LO.35353
LO.45353
LO.55353

CONTACT INFORMATION
Dokuz Eylül Üniversitesi Cumhuriyet Bulvarı No: 144 35210 Alsancak / İZMİR
Phone: +90(232) 412 12 12 - Fax: +90 (232) 464 81 35

Copyright 2015 DEÜ. BİD

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