COURSE INFORMATON Course Title MATHEMATICS II Code Year Semester T+P+L (Hour/Week) Credits ECTS 0201201 First Year Spring 4+0+0 4 6 Department CIVIL ENGINEERING Course Level First Cycle (B.Sc.) Language of Instruction Turkish Course Type Compulsory Mode of Delivery Face-To-Face Prerequisites and co-requisites None Recommended Optional Programme Components Name of Lecturer Prof. Dr. Kerim KOCA Co-Lecturer Work Placement None Teaching Methods Lecturing. Problem solving. Objectives of the Course To teach both theory and applications of integral at undergraduate level. To explain the difference between finite and infinite summations of integral and inverse derivative. To learn about both theory and applications of integral. To be familiar with the difference between finite and infinite summations of integral and inverse derivative. Learning Outcomes Course Content Concept of derivative: definition of derivative, properties of derivative, derivative of implicit functions, Rolle and mean value theorems, monotony theorem. Concept of derivative: first and second derivative tests, inverse function theory of single value functions, graphing of logarithmic and power functions. Concept of derivative: inverse trigonometric functions, L’Hospital theory. Concept of derivative: Asymptotes and graphical drawing, maxima and minima problems.Integral: definition of integral, Reimann summations. Integral: definitions of lower and upper integral summations. Integral: numerical integration methods.Inverse derivative groups, mean value theory for integration, fundamental theory of analysis. Integration techniques, variable alternation method, separation method, fractioning method, trigonometric variable alternation , tan(x/2) variable alternation. COURSE CONTENT (SYLLABUS) 1 Week Topics Study Materials 1 Concept of derivative: definition of derivative, properties of derivative, derivative of implicit functions, Rolle and mean value theorems, monotony theorem. 2 Concept of derivative: definition of derivative, properties of derivative, derivative of implicit functions, Rolle and mean value theorems, monotony theorem. 3 Concept of derivative: definition of derivative, properties of derivative, derivative of implicit functions, Rolle and mean value theorems, monotony theorem. 4 Concept of derivative: first and second derivative tests, inverse function theory of single value functions, graphing of logarithmic and power functions. 5 Concept of derivative: inverse trigonometric functions, L’Hospital theory. 6 Concept of derivative: Asymptotes and graphical drawing, maxima and minima problems. 7 Integral: definition of integral, Reimann summations. 8 MIDTERM EXAM 9 Integral: definitions of lower and upper integral summations. 10 Integral: numerical integration methods. 11 Inverse derivative groups, mean value theory for integration, fundamental theory of analysis. 12 Inverse derivative groups, mean value theory for integration, fundamental theory of analysis. 13 Integration techniques, variable alternation method, separation method, fractioning method, trigonometric variable alternation , tan(x/2) variable alternation. 14 Integration techniques, variable alternation method, separation method, fractioning method, trigonometric variable alternation , tan(x/2) variable alternation. RECOMMENDED SOURCES Textbook Genel Matematik, BALCI, M., Balcı Yayınları, 1. Baskı, Ankara, 2000. Additional Resources Differential Equations, ROSE S.L., Blaisdel Publishing Company. Diferensiyel Denklemler, AYRES F. Uygulamalı Matematik, Prof. Dr. İrfan Baki YAŞAR, Gazi Üniversitesi. MATERIAL SHARING Documents Assignments Exams Midterm Exam, Final Exam, Supplementary Exam. ASSESSMENT 2 EXAMS QUANTITY PERCENTAGE Contribution of Mid -Term Examination to Overall Grade 1 40 Contribution of Final Examination to Overall Grade 1 60 TOTAL 100 COURSE'S CONTRIBUTION TO PROGRAMME Nr. Contribution Programme Learning Outcomes 1 2 3 4 5 1 To gain the ability to apply knowledge of mathematics, science, and engineering to civil engineering problems. 2 To be able to identify, model and solve civil engineering problems in consideration with safety, economy, aesthetics and environmental factors. 3 To get familiar with modern techniques and computation methods in civil engineering. X 4 To learn measurement and evaluation methods and techniques in civil engineering. X 5 To gain the responsibility for work and labor safety in all civil engineering applications. 6 To be able to identify, analyze, and synthesize civil engineering problems and applications. 7 To have enough knowledge about construction materials. 8 To be able to conduct laboratory and site experiments, to evaluate, and to interpret experimental data. 9 To be able to work together with other people, to adapt teamwork. 10 To take initiative and responsibility, to work independently, and to innovate. 11 To gain the ability for effective written and oral communication in Turkish and English. 12 To recognize the need for, and to gain the ability to engage in life-long learning. X ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION Activities Quantity Duration (Hour) Total Workload (Hour) Course Duration (Including the exam week: 16x Total course hours) 16 4 64 Hours for off-the-classroom study (Pre-study, practice) 16 3 48 Mid-term 1 16 16 Final examination 1 16 16 Assignments Presentation / Preparing Seminar Total Work Load 144 Total Work Load / 30 (h) 4,8 ECTS Credit of the Course 6 3