Course Information Semester Course Code Course Title T+P+L Credit ECTS 1 99600002 CalculusI 4+0+0 5 5 Course Details Language : Level : Department / Program : Mode of Delivery : Type : Objectives : Content : Methods & Techniques : Prerequisites and co-requisities : Course Coordinator : Name of Lecturers : Assistants : Work Placement(s) : Recommended or Required Reading Course Category Mathematics and Basic Sciences 50% Engineering 50% In-Term Study Informations In-Term Studies Quantity Percentage Mid-terms 1 40% Final examination 1 60% Total 2 100% Activity Informations Activities Quantity Duration Total Work Load Course Duration 14 4 56 Hours for off-the-c.r.stud 14 2 28 Assignments 4 4 16 Mid-terms 1 15 15 Final examination 1 15 15 Total Work Load ECTS: 5 130 Course Learning Outcomes Upon the successful completion of this course, students will be able to: No Learning Outcomes 1 Know basic mathematics knowledge and theorems. 2 Applies basic math knowledge and theorems to engineering field. 3 Know numerical analysis and approximate calculation methods. 4 It builds mathematical models of engineering systems and simulates them on a computer. Weekly Detailed Course Contents Week Topics 1 Cartesian coordinate system, slope and right equations. Functions, graph of function and types of functions 2 Limit, limit rules, formal definition of limit, unilateral and infinite limits, continuity. 3 Tangents and derivatives, rules of derivation 5 Derivatives of chain rule, trigonometric, logarithmic and exponential functions 7 Higher order derivatives, logarithmic derivatives, derivatives of closed and parametric functions 8 Rate of change, ambiguous shapes and L`Hospital rule 9 Extremum values, Rolle and Mean value theorems 10 Asymptotes and graphic drawing, optimization problems 11 Indefinite integral, integration techniques. Definite integral 12 Basic theorem, area between curves, arc length and surface area of rotating bodies 14 The volume of revolutions, shell method. Contribution of Learning Outcomes to Programme Outcomes P1P2P3P4P5P6P7P8P9P10P11 All 5555 C1 5555 C2 5555 C3 5555 C4 5555 bbb
