COURSE UNIT TITLE

: MATHEMATICS II

DEGREE PROGRAMMES

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
MTE 1102 MATHEMATICS II COMPULSORY 4 0 0 4

Offered By

Marine Transportation Engineering (English)

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

ASSISTANT PROFESSOR HANDE TUNÇEL GÖLPEK

Offered to

Marine Transportation Engineering (English)

Course Objective

1.To provide the concepts and applications of the convergence of improper integrals, sequences and infinite series.
2.To provide the knowledge of applications of partial differentiation and multiple integrals.
3.To give an ability to apply knowledge of mathematics on engineering problems.

Learning Outcomes of the Course Unit

1   Compute limits of sequences and series; determine the convergence of the series and
2   Represent a known function as a Taylor series; approximate a known function with a
3   Compute the standard representation of a vector in 3-space, compute the dot product and
4   Use the concepts of continuity, differentiation, and integration of vector-valued functions.
5   Understand the multivariable functions, analyze limits, determine continuity, and

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Sequences and Convergence, Infinite Series.
2 Convergence Tests for Positive Series.
3 Absolute and Conditional Convergence, Power Series.
4 Linear approximations, Taylor polynomials.
5 Taylor and Maclaurin Series, Applications of Taylor and Maclaurin Series.
6 Functions of Several Variables, Limits and continuity.
7 Partial Derivatives, Gradients and Directional Derivatives.
8 Extreme Values, Extreme Values of Functions Defined on Restricted Domains.
9 Lagrange Multipliers.
10 Iteration of Double Integrals in Cartesian Coordinates.
11 Double integrals in Polar Coordinates.
12 Triple Integrals.
13 Change of Variables in Triple Integrals
14 Rewiev

Recomended or Required Reading

Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Eight Edition.

Planned Learning Activities and Teaching Methods

Literature review , Solving problems , Presentation and discussion , Assignments , Case studies

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


Further Notes About Assessment Methods

None

Assessment Criteria

In relation to mathematic 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

The minimum rate of attendance for the course is 70 per cent.

Contact Details for the Lecturer(s)

Yrd. Doc. Dr. Hande Tunçel Gölpek
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 13 2 26
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) 94

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
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Phone: +90(232) 412 12 12 - Fax: +90 (232) 464 81 35

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