Dersi Veren Birim: Mühendislik Fakültesi Dersin Türkçe Adı: MATEMATİK I Dersin Orjinal Adı: CALCULUS I Dersin Düzeyi:(Ön lisans, Lisans, Yüksek Lisans, Doktora) Lisans Dersin Kodu: MAT 1001 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 Interpret a function from an algebraic, numerical, graphical and verbal perspective and extract information relevant to the phenomenon modelled by the function. Verify the value of the limit of a function at a point using the definition of the limit. Find points of discontinuity for functions and classify them. Show whether a function is differentiable at a point. Find the derivative of elementary polynomials, exponential, logarithm and trigonometric functions. Interpret the definite integral geometrically as the area under a curve and the volumes of solids using the areas of their cross-sections. 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 Değerlendirme Yöntemlerine İlişkin Açıklamalar: Percentage of mid-term exams is % to the course grade. L1--3- will be examined Percentage of final exam is 0% to the course grade. All learning targets (L1--3--- 6) will be examined. Tel: 0 3 301 7 1 Faks: 0 3 301 7 10 Erişim: http://www.eng.deu.edu.tr
Değerlendirme Kriteri Percentage of mid-term exams is % to the course grade. L1--3- will be examined Percentage of final exam is 0% to the course grade. All learning targets (L1--3--- 6) 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 Preliminaries, Functions, Limits and Continuity 3 6 7 8 Differentiation, Tangent Lines and Their slopes The Derivative, Differentiation Rules, The Chain Rule Derivatives of Trigonometric Functions,Higher Order Derivatives,The Mean Value Theorem Implicit Differentiation,Transcendental Function,Inverse Functions, Exponential and Logarithmic Functions The Natural Logarithm and Exponential,The inverse Trigonometric Functions, Hyperbolic Functions Midterm Exam 1 More Applications in Differentiation, Related Rates Tel: 0 3 301 7 1 Faks: 0 3 301 7 10 Erişim: http://www.eng.deu.edu.tr
9 10 11 1 Indeterminate Forms,Extreme Values,Concavity and Inflections Sketching the Graph of a Function,Extreme-Value Problems,Linear Approximations Integration,Sums and Sigma Notation,Areas as Limits of Sums,The Definite Integral,Properties of the Definite Integral The Fundamental Theorem of Calculus The Method of Substitution,Areas of Plane Regions,Integration by Parts,Integrals of Rational Functions, Inverse Substitutions, Improper Integrals,Applications of Integration, More Volumes by Slicing,Arc Length and Surface Area 1 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 Lectures 1 8 Sınavlar Final 1 Midterm Ders Dışı Etkinlikler Preparation before/after weekly lectures 1 3 36 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