COURSE UNIT TITLE

: CALCULUS I

DEGREE PROGRAMMES

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
MAT 1009 CALCULUS I COMPULSORY 4 0 0 4

Offered By

Faculty of Engineering

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

ASSOCIATE PROFESSOR ŞERIFE FAYDAOĞLU

Offered to

Geophysical Engineering
Mechanical Engineering (Evening)
Textile Engineering
Mechanical Engineering
Civil Engineering
Environmental Engineering
Mining Engineering
Geological Engineering
Metallurgical and Materials Engineering
Civil Engineering (Evening)
Industrial Engineering
Geological Engineering (Evening)
Mining Engineering (Evening)

Course Objective

This course aims at constructing the base by teaching fundamental mathematical knowledge with theory and application. It also targets to make students gain practical skills for vocational areas besides a rational approach and solution ability for the problems. It is also within the scope of this course to show the significance and aim of mathematics.

Learning Outcomes of the Course Unit

1   Be able to comprehend function and characteristics, limits and continuity of functions
2   Be able to comprehend the derivative of the functions, to make various applications and to apply engineering problems
3   Be able to comprehend integration of functions, to apply engineering problems and areas of use in real-life
4   Be able to comprehend matrices, determinants, vectors and vector spaces
5   Be able to understand eigenvalues and eigenvectors, to solve systems of linear equations, to apply engineering problems

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Functions, Limits and Continuity
2 The Derivative, Geometric and Physical Interpretation of the Derivative, Differentiation Rules
3 The Chain Rule, The Derivatives of Functions, Higher Order Derivatives
4 Differentiation, Rolle Theorem, The Mean Value Theorem, L Hopital Rule
5 Maximum and Minimum Problems, Taylor and Maclaurin Series
6 Sketching the Graph of a Function
7 Midterm Exam
8 Integration, Indefinite Integrals, Integral Rules
9 Definite Integrals and Their Applications
10 Integration by parts, Integrals of Rational Functions, Improper Integrals
11 Matrixes, Determinants, Vectors and Vector Spaces
12 Eigenvalues and Eigenvectors, Matrix Functions
13 Linear Systems of Equation and Inequalities
14 Final Exam

Recomended or Required Reading

1. Thomas, George B. and Finney, Ross L., Calculus and Analytic Geometry, Part I, Addison-Wesley, New York, 1994.
2. Sherman K. Stein, Anthony Barcellos, Calculus ve Analitik Geometri, 1.Cilt, McGraw-Hill-Literatür Yayıncılık, Istanbul, 1996.
3. Johnston, Elgin H. and Mathews, Jerold C., Calculus, Addison Wesley, New York, 2002.
4. Leon, Steven J. Linear Algebra with Applications, Prentice Hall, 6th edition, New Jersey, 2002.
5. Talluri, Kalyan T., van Ryzin, Garrett J., The Theory and Practice of Revenue Management, Kluwer Academic Publishers, 2004. ISBN 1-4020-7701-7.

Planned Learning Activities and Teaching Methods

Presentation, Application, Homework

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 MTE MIDTERM EXAM
2 FIN FINAL EXAM
3 FCG FINAL COURSE GRADE MTE * 0.50 + FIN * 0.50
4 RST RESIT
5 FCGR FINAL COURSE GRADE (RESIT) MTE * 0.50 + RST * 0.50


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

Further Notes About Assessment Methods

None

Assessment Criteria

Midterm Exam (%50)+Final Exam (%50)+Condition Exam

Language of Instruction

Turkish

Course Policies and Rules

To be announced.

Contact Details for the Lecturer(s)

serife.faydaoglu@deu.edu.tr

Office Hours

Wednesday (09.00 / 11.00)

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 12 4 48
Preparations before/after weekly lectures 12 2 24
Preparation for midterm exam 2 7,5 16
Preparation for final exam 1 9 9
Midterm 1 1,5 2
Final 1 1,5 2
TOTAL WORKLOAD (hours) 101

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11
LO.153
LO.253
LO.353
LO.453
LO.553

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

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