Course Information Semester Course Code Course Title T+P+L Credit ECTS 1 99600002 Calculus I 4+0+0 4 5 Course Details Language : Turkish Level : Bachelor's Degree Department / Program : Electrical and Electronics Engineering Mode of Delivery : Face to Face Type : Compulsory Objectives : The sequence Calculus I-II 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. Content : Functions, limits, continuity and derivatives. Applications. Extreme values, the Mean value Theorem and its applications. L`Hopital`s rule. Graphing. Optimization problems. The indefinite integral. Techniques of integration. The definite integral. Area and volume as integrals. Methods & Techniques : Prerequisites and co-requisities : None Course Coordinator : Asist Prof.Dr. Nurten URLU ÖZALAN Name of Lecturers : None Assistants : None Work Placement(s) : No Recommended or Required Reading Resources : George B.Thomas, Maurice D. Weir, Joel R.Hass, Thomas’ Calculus 11th Edition Course Category Mathematics and Basic Sciences 100% 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 3 42 Assignments 5 1 5 Mid-terms 1 15 15 Final examination 1 30 30 Total Work Load ECTS: 5 148 Course Learning Outcomes Upon the successful completion of this course, students will be able to: No Learning Outcomes 1 Know the fundamental mathematics knowledge and theorems 2 Know the applications of mathematics in engineering 3 Know the numerical calculations and analysis 4 Build mathematical models of engineering problems and simulate them Weekly Detailed Course Contents Week Topics 1 Cartesian coordinate system. Functions. Identifying functions and shifting. 2 Cartesian coordinate system. Functions. Identifying functions and shifting. 3 Limits, limit laws, precise definition of limit, one-sided Limits, infinite limits. Continuity. 4 Limits, limit laws, precise definition of limit, one-sided Limits, infinite limits. Continuity. 5 Tangents and Derivatives. Differentiation rules. 6 Derivatives of trigonometric, logarithmic and exponential functions. 7 Chain rule, implicit differentiation. Indeterminate forms and L’Hospital’s Rule. 8 Extreme values. Extreme Value, Rolle’s and Mean Value Theorems. 9 Extreme values. Extreme Value, Rolle’s and Mean Value Theorems. 10 Curve Sketching. Optimization Problems. 11 Indefinite Integrals. Techniques of integration. The Definite Integral. 12 Indefinite Integrals. Techniques of integration. The Definite Integral. 13 The Fundamental Theorem of Calculus. Area between curves and area of a surface of revolution. 14 Volumes of solids of revolution, volumes by cylindrical shells, arc length. Contribution of Learning Outcomes to Programme Outcomes P1P2P3P4P5P6P7P8P9P10P11 All 5 C1 5 C2 5 C3 5 bbb
