Dersi Veren Birim: Mühendislik Fakültesi Dersin Türkçe Adı: MATEMATİK II Dersin Orjinal Adı: CALCULUS II Dersin Düzeyi:(Ön lisans, Lisans, Yüksek Lisans, Doktora) Lisans Dersin Kodu: MAT 100 Dersin Öğretim Dili: İngilizce Formun Düzenleme / Yenilenme Tarihi: 3/07/01 Haftalık Ders Saati: Ders Koordinatörü (Ders girşinden sorumlu olan kişi): YRD.DOÇENT MUSTAFA ÖZEL Teori Uygulama Laboratuvar Dersin Ulusal Kredisi: 0 0 Dersin AKTS Kredisi: Tel: 0 3 301 7 1 Faks: 0 3 301 7 10 Erişim: http://www.eng.deu.edu.tr
Dersi Alan Birimler Birim Adı Elektrik-Elektronik Mühendisliği Bilgisayar Mühendisliği Türü Zorunlu Zorunlu Tel: 0 3 301 7 1 Faks: 0 3 301 7 10 Erişim: http://www.eng.deu.edu.tr
Dersin Öğretim Üyesi / Üyeleri PROFESÖR VALERIY YAKHNO YRD.DOÇENT MUSTAFA ÖZEL Dersin Amacı: The sequence Math 1001-100 is the standard complete introduction to the concepts and methods of calculus. It is taken by all engineering students. The emphasis is on concepts, solving problems, theory and proofs. Students will develop their reading, writing and questioning skills in Mathematics. Dersin Öğrenme Çıktıları : 1 3 6 7 8 Define the sequence of partial sum for an infinite series and relate the convergence of this sequence to the convergence of the series. Then find or estimate the sum. Find the interval and radius of convergence for a given power series. Understand and identify vectors in the plane and in the three dimensional space. Find the total differential of a function of several variables and use it to approximate incremental change in the function. Do simple manipulations involving gradient, divergence, and curl, and understand their geometrical/physical meaning. Analyze and solve constrained and unconstrained optimization problems. Evaluate multiple integrals either by using iterated integrals. Understand vector fields, line integrals, and Green?s theorem. Conservative Vector fields, and independence path. Surface integrals, divergence theorem and Stokes?s theorem. Öğrenme ve Öğretme Yöntemleri: Teaching should combine basic education and training with the development of creative thinking and application. Değerlendirme Yöntemleri: Adı Kodu Hesaplama Formülü 1.Vize.Vize Final BNS VZ1 VZ FN BNS VZ1 * 0 + VZ * 0 + FN * 00 Tel: 0 3 301 7 1 Faks: 0 3 301 7 10 Erişim: http://www.eng.deu.edu.tr
Değerlendirme Yöntemlerine İlişkin Açıklamalar: Değerlendirme Kriteri Percentage of mid-term exams is % to the course grade. L1--3---6 will be examined Percentage of final exam is 0% to the course grade. All learning targets (L1--3--- 6-7-8) will be examined. Ders İçin Önerilen Kaynaklar Textbook(s): Thomas Calculus (1th Edition), George B. Thomas, Maurice D. Weir, Joel Hass, 010. Supplementary Book(s):? Calculus, Robert A. Adams & Christopher Essex, 008. Derse İlişkin Politika ve Kurallar Ders Öğretim Üyesi İletişim Bilgileri Asst.Prof.Dr. Mustafa ÖZEL Ders Öğretim Üyesi Görüşme Günleri ve Saatleri Monday 09.00-11.00 Dersin İçeriği Hafta Konular Açıklama 1 Infinite series Convergence tests for positive series Power series, Taylor and Maclaurin series 3 Quadratic forms(conic Sections) Vectors and coordinate geometry in three dimensional space Analytic geometry in three dimensions, Plane, lines, and quadratic surfaces Functions of several variables Limits and continuity Tel: 0 3 301 7 1 Faks: 0 3 301 7 10 Erişim: http://www.eng.deu.edu.tr
6 Partial derivatives Higher-order derivatives The chain rule Linear approximation Gradients and directional derivatives Implicit functions Midterm Exam 1 7 8 9 10 Midterm Exam 1 Applications of partial derivatives Extreme values Extreme values of functions defined on restricted domains Lagrange multipliers Multiple integration Double integrals, iteration of double integrals in Cartesian- Coordinates Surface area using by double integrals Double integrals in Polar Coordinates 11 1 1 Vector and scalar fields Line integrals Conservative fields Surface integrals Green?s theorem, divergence theorem, and Stokes?s theorem. Midterm Exam Tel: 0 3 301 7 1 Faks: 0 3 301 7 10 Erişim: http://www.eng.deu.edu.tr
AKTS Tablosu: Derse İlişkin Etkinlikler Sayısı Süresi Top.İşyükü Ders İçi Etkinlikler Ders Anlatımı 1 6 Sınavlar Final 1 Mid-term Ders Dışı Etkinlikler Preparation before/after weekly lectures 1 8 Preparation for Mid-term Exam 6 Preparation for Final Exam 1 Toplam İşyükü Dersin AKTS Kredisi 19 Tel: 0 3 301 7 1 Faks: 0 3 301 7 10 Erişim: http://www.eng.deu.edu.tr