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Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS MEN 1001 MATHEMATICS I 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

Teaching about general mathematics

Learning Outcomes of the Course Unit

1   an ability to understand functions and their properties 2   an ability to find limits of a functions and continuity 3   an ability to evaluate derivatives of explicit and implicit functions 4   an ability to use application of derivatives 5   an ability to evatuate definite integral and areas of plane regions

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description 1 Graphs of quadratic functions, Polynomials and rational functions, The trigonometric functions, Examples of velocity, growth rate and area Calculus: A Complete Course by Robert A, Christopher Essex, 9th Ed. P3,P6,P7, 1.1 2 Limits of Functions, Limits at Infinity and Infinite Limits. Calculus: A Complete Course by Robert A, Christopher Essex, 9th Ed. 1.2, 1.3 3 Continuity, tangent lines and their slopes Calculus: A Complete Course by Robert A, Christopher Essex, 9th Ed. 1.4, 2.1 4 The Derivatives, Differentiation Rules, The Chain Rule, Derivative of Trigonometric Functions Calculus: A Complete Course by Robert A, Christopher Essex, 9th Ed. 2.2, 2.3, 2.4, 2.5 5 Higher Order Derivatives, The Mean Value Theorem Calculus: A Complete Course by Robert A, Christopher Essex, 9th Ed. 2.6, 2.8 6 Implicit Differentiation, Inverse Functions Calculus: A Complete Course by Robert A, Christopher Essex, 9th Ed. 2.9, 3.1 7 Exponential and Logarithmic Functions and natural forms Calculus: A Complete Course by Robert A, Christopher Essex, 9th Ed. 3.2, 3.3 8 The Inverse Trigonometric Functions Calculus: A Complete Course by Robert A, Christopher Essex, 9th Ed. 3.5 9 Related Rates, Indeterminate Forms Calculus: A Complete Course by Robert A, Christopher Essex, 9th Ed. 4.1, 4.3 10 Extreme Values, Concavity and Inflections Calculus: A Complete Course by Robert A, Christopher Essex, 9th Ed. 4.4, 4.5 11 Sketching the Graphs, Extreme value Problems Calculus: A Complete Course by Robert A, Christopher Essex, 9th Ed. 4.6, 4.8 12 Extreme Value Problems, Properties of Definite Integral. Fundamental Theorem of Calculus Calculus: A Complete Course by Robert A, Christopher Essex, 9th Ed. 4.8, 5.3, 5.4, 5.5 13 Method of Substitution, Areas of Plane Region Calculus: A Complete Course by Robert A, Christopher Essex, 9th Ed. 5.6, 5.7 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 learning and teaching 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

Wednesday 12:00-13:00

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. 0 0 0 Final 1 2 2 Midterm 1 2 2 Quiz etc. 0 0 0 TOTAL WORKLOAD (hours) 90

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