COURSE UNIT TITLE

: CALCULUS II

DEGREE PROGRAMMES

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
MAT 1010 CALCULUS II 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

To understand the issues related to Analytic Geometry and Analysis, to provide the practice of this in an effective way in the professional areas. It also aims to show the importance and purpose of mathematics is by the acquisition of analytical mindset.

Learning Outcomes of the Course Unit

1   Recognizing the coordinate systems and the conic sections; be able to express in the different coordinates conic sections
2   Be able to understand the equations of line and plane in two-and three-dimensional space
3   Be able to understand the multivariate functions and its features
4   Be able to comprehend the limits, continuity and derivative in the multivariate functions, to apply to engineering problems.
5   Be able to define multiple integrals over plane and solid regions; being able to use in applications in relation to the concepts of area, volume, mass and energy

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 The coordinate systems; Cartesian, Polar, Cylindrical and Spherical coordinates
2 Conic Sections, Quadratic Curves; Ellipse, Hyperbola, Parabola and Circle
3 Quadratic Equations, Rotations and Applications
4 Analytic geometry in space; Lines, Planes and Quadratic surfaces
5 Multivariable Functions, Limits and continuity
6 Partial Derivatives, Differentiability, Linearization, The Chain Rule
7 Applications of Partial Derivatives, Directional Derivatives
8 Gradients Vectors and Tangent Planes
9 Extreme Values and Saddle Points
10 Taylor Series, Lagrange Multiplies
11 Multiple Integrals, Double Integrals in Cartesian and Polar Coordinates and Their Applications Midterm Exam 2 (08.05.2012)
12 Triple Integrals in Cylindrical and Spherical Coordinates and Their Applications
13 Vector Functions, Vector and Scalar Fields, Line integrals, Conservative Fields
14 Surface integrals, Green, Divergence and Stokes Theorem Final Exam (28.05.2012)

Recomended or Required Reading

1. Thomas G.B. and Finney R.L., Calculus and Analytic Geometry, Part II, Addison-Wesley, New York, 1994.
2. Sherman K. Stein, Anthony Barcellos, Calculus ve Analitik Geometri , 2.Cilt, McGraw-Hill-Literatür Yayıncılık, Istanbul, 1996.
3. Hughers H., Gleason M., at al. , Single and Multivariable Calculus, John Wiley and Sons, 3rd Edition, New York, 2002.

Planned Learning Activities and Teaching Methods

Sunum, Uygulama, Ödev

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


Further Notes About Assessment Methods

None

Assessment Criteria

1.Vize (%50)+Final(%50)+BÜTÜNLEME

Language of Instruction

Turkish

Course Policies and Rules

Yok

Contact Details for the Lecturer(s)

serife.faydaoglu@deu.edu.tr

Office Hours

Friday: 10.00-11.00

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 14 4 56
Preparations before/after weekly lectures 14 2 28
Preparation for midterm exam 1 5 5
Preparation for final exam 1 7 7
Final 1 1,5 2
Midterm 1 1,5 2
TOTAL WORKLOAD (hours) 100

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11PO.12
LO.15
LO.25
LO.35
LO.45
LO.55

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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