DOKUZ EYLUL UNIVERSITY FACULTY OF ENGINEERING OFFICE OF THE DEAN COURSE / MODULE / BLOCK DETAILS ACADEMIC YEAR / SEMESTER. Course Code: MAT 1010

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1 Offered by: Mühendislik Fakültesi Course Title: CALCULUS II Course Org. Title: MATEMATİK II Course Level: Lisans Course Code: MAT 00 Language of Instruction: Türkçe Form Submitting/Renewal Date 5/08/03 Weekly Course Hours: Course Coordinator: YRD.DOÇENT ŞERİFE FAYDAOĞLU Theory Application Laboratory National Credit: 0 0 ECTS Credit: Wire: Fax: Access: Dokuz Eylül Üniversitesi Tınaztepe Yerleşkesi 3560 Buca/İZMİR

2 Offered to: Course Status: Compulsory/Elective Name of the Department: Civil Engineering Mechanical Engineering Civil Engineering Environmental Engineering Geophysical Engineering Mechanical Engineering Metallurgical and Materials Engineering Geological Engineering Mining Engineering Textile Engineering Geological Engineering Industrial Engineering Mining Engineering Wire: Fax: Access: Dokuz Eylül Üniversitesi Tınaztepe Yerleşkesi 3560 Buca/İZMİR

3 Instructor/s: Wire: Fax: Access: Dokuz Eylül Üniversitesi Tınaztepe Yerleşkesi 3560 Buca/İZMİR

4 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: 3 5 Recognizing the coordinate systems and the conic sections; be able to express in the different coordinates conic sections Be able to understand the equations of line and plane in two-and threedimensional space Be able to understand the multivariate functions and its features Be able to comprehend the limits, continuity and derivative in the multivariate functions, to apply to engineering problems. 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 Learning and Teaching Strategies: Sunum, Uygulama, Ödev Assessment Methods: Name Code Calculation formula.vize.vize Final Bütünleme Notu BNS Bütünleme Sonu Başarı Notu VZ VZ FN BUT BNS BBN VZ * 05 + VZ * 05 + FN * 050 VZ * 05 + VZ * 05 + BUT * 050 Further Notes about Assessment Methods: Wire: Fax: Access: Dokuz Eylül Üniversitesi Tınaztepe Yerleşkesi 3560 Buca/İZMİ

5 Assessment Criteria:.Vize (%5)+.Vize(%5)+Final(%50) Textbook(s)/References/Materials:. Thomas G.B. and Finney R.L., Calculus and Analytic Geometry, Part II, Addison- Wesley, New York, 99.. Sherman K. Stein, Anthony Barcellos, Calculus ve Analitik Geometri?,.Cilt, McGraw- Hill-Literatür Yayıncılık, İstanbul, Hughers H., Gleason M., at al., Single and Multivariable Calculus, John Wiley and Sons, 3rd Edition, New York, 00. Course Policies and Rules: Yok Contact Details for the Instructor: Phone: GSM: Fax: serife.faydaoglu@deu.edu.tr Office Hours: Çarşamaba (9.00 /.00) Course Outline: Week Topics: Notes: The coordinate systems; Cartesian, Polar, Cylindrical and Spherical coordinates Conic Sections Quadratic Equations and Rotations Wire: Fax: Access: Dokuz Eylül Üniversitesi Tınaztepe Yerleşkesi 3560 Buca/İZMİ

6 Vectors and Analytic geometry in space Lines, Planes and Quadratic surfaces Multivariable Functions Functions of several variables Limits and continuity Partial Derivatives Differentiability, Linearization and Differential Higher-order Derivatives The Chain Rule Implicit Differentiation Midterm Exam (6.03.0) Applications of Partial Derivatives Directional derivatives, Gradients Vectors and Tangent Planes.st Midterm Exam Extreme Values and Saddle Points Extreme alues of functions defined on restricted domains Lagrange Multipliers Taylor Series Multiple Integrals Double Integrals in Cartesian and Polar Coordinates and Their Applications Midterm Exam ( ) Triple Integrals in Cylindrical and Spherical Coordinates and Their Applications Vector Functions, Vector and Scalar Fields Line integrals Conservative Fields Surface integrals Green?s Theorem, Divergence theorem, and Stokes?s Theorem Final Exam (8.05.0).nd Midterm Exam Wire: Fax: Access: Dokuz Eylül Üniversitesi Tınaztepe Yerleşkesi 3560 Buca/İZMİ

7 ECTS Table Course Activities Number Duration Total Work (hour) Load (hour) In Class Activities Lectures 8 Exams Final Midterm Out Class activities Preparations before/after weekly lectures Preparation for midterm exam 7 Preparation for final exam 9 9 Total Work Load (hour) ECTS Credits of the Course= Total Work Load (hour) / 5 0 Wire: Fax: Access: Dokuz Eylül Üniversitesi Tınaztepe Yerleşkesi 3560 Buca/İZMİ