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Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS MEN 1002 MATHEMATICS II COMPULSORY 4 0 0 4

Offered By

Marine Engineering

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

ASSISTANT PROFESSOR HANDE TUNÇEL GÖLPEK

Offered to

Marine Engineering

Course Objective

This course is continuation of Calculus I and it aims to provide more insight to advanced mathematical techniques in engineering.

Learning Outcomes of the Course Unit

1   Will be able to calculate improper integrals and volumes of solids 2   Will be able to use the applications of Taylor and Maclaurin series effectively 3   Will be able to define the concepts of limits and continuity in the functions of several variables 4   Will be able to do partial and directional derivatives calculations and applications. 5   Will be able to compute double integrals in cartesian and polar coordinates and triple integrals.

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description 1 Integration by parts, Integrals of rational functions Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Ninth Edition. 6.1, 6.2 2 Integrals of rational functions, Inverse substitutions Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Ninth Edition. 6.2, 6.3 3 Inverse substitutions, Improper Integrals Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Ninth Edition. 6.3, 6.5 4 Solids of Revolution Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Ninth Edition. 7.1 5 Taylor and Maclaurin Series, Applications of Taylor and Maclaurin Series Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Ninth Edition. 9.6, 9.7 6 Functions of Several Variables, Limits and continuity Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Ninth Edition. 12.1, 12.2 7 Limits and continuity, Partial Derivatives Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Ninth Edition. 12.2, 12.3 8 Partial Derivatives, Gradients and Directional Derivatives, Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Ninth Edition. 12.3, 12.7 9 Gradients and Directional Derivatives, Extreme Values. Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Ninth Edition. 12.7, 13.1 10 Extreme Values, Extreme Values of Functions Defined on Restricted Domains Calculus: A Complete Course by Robert A. Adams, Christopher Essex Ninth Edition. 13.1, 13.2 11 Extreme Values of Functions Defined on Restricted Domains, Lagrange Multipliers. Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Ninth Edition. 13.2, 13.3 12 Iteration of Double Integrals in Cartesian Coordinates, Double integrals in Polar Coordinates. Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Ninth Edition. 14.2, 14.4 13 Triple Integrals. Change of Variables in Triple Integrals Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Ninth Edition. 14.5, 14.6 14 REVIEW

Recomended or Required Reading

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

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

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)

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 midterm exam 1 3 3 Preparation for final exam 1 5 5 Preparation for quiz etc. 1 2 2 Final 1 2 2 Midterm 1 2 2 Quiz etc. 1 2 2 TOTAL WORKLOAD (hours) 94

Contribution of Learning Outcomes to Programme Outcomes

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