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Week
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Topics
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Study Metarials
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1
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Real numbers and number line, absolute value; Cartesian coordinate system in plane, lines and equations
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K1-Kalkülüs Eksiksiz Bir Ders Cilt 1
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2
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Graphs of second order equations; functions and graphics; operations and properties between functions
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K1-Kalkülüs Eksiksiz Bir Ders Cilt 1
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3
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Polynomials and rational functions; trigonometric functions
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K1-Kalkülüs Eksiksiz Bir Ders Cilt 1
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4
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Limits of functions; limits and infinite limits at infinity; continuity
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K1-Kalkülüs Eksiksiz Bir Ders Cilt 1
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5
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Tangent lines and slopes; Derivative and Derivative Rules
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K1-Kalkülüs Eksiksiz Bir Ders Cilt 1
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6
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Chain rule; derivatives of trigonometric functions; higher order derivatives
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K1-Kalkülüs Eksiksiz Bir Ders Cilt 1
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7
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Mean Value Theory and its applications; closed derivation; inverse function and derivative
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K2-Genel Matematik
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8
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Exponential and logarithmic functions; natural logarithm and inverse function
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K2-Genel Matematik
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9
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Inverse trigonometric functions; hyperbolic functions
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K2-Genel Matematik
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10
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Relative ratios; ambiguous forms, L? hospital rule; extreme values and first derivative test
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K2-Genel Matematik
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11
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Concavity and bending point, second derivative test; asymptotes and graphic drawings
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K3-Yüksek Matematik
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12
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Optimization problems; linear approach
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K3-Yüksek Matematik
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13
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Area problem, definite integral and properties; The Basic Theory of Analysis
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K3-Yüksek Matematik
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14
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Variable changing method; Areas of plane regions
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K3-Yüksek Matematik
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Prerequisites
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-
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Language of Instruction
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Turkish
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Responsible
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Prof. Dr. Ayhan ŞERBETÇİ
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Instructors
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-
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Assistants
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-
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Resources
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K1-Terziler M., Öner T., Kalkülüs Eksiksiz Bir Ders Cilt 1, Palme Yayınevi, 2017, Ankara. (Kitabın Orjinali : Adams, R. A., Christopfer E., Calculus : A Complete Course, Pearson, 2010, Toronto.)
K2-Balcı, M., Genel Matematik , Balcı Yayınları, 2006, Ankara
K3-Halilov, H., Hasanoğlu A., Can , M., Yüksek Matematik, Literatür yayıncılık,2014, İstanbul
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Supplementary Book
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-
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Goals
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To teach the basic concepts and subjects required for the solution of the mathematical problems related to the discipline of the student
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Content
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Real numbers and number line, absolute value; Cartesian coordinate system in plane, lines and equations. Graphs of second order equations; functions and graphics; Functions between functions and their properties Polynomials and rational functions; trigonometric functions Limits of functions; limits and infinite limits at infinity; continuity Tangent lines and slopes; derivative and derivation rules Chain rule; derivatives of trigonometric functions; higher order derivatives The Mean Value Theorem and its applications; closed derivation; inverse function and derivative, exponential and logarithmic functions; natural logarithm and inverse function Inverse trigonometric functions; hyperbolic functions Relative ratios; indefinite forms. L- Hospital was established; extreme values ??and first derivative test, concavity and twist point, second derivative test; asymptotes and graphical drawings Optimization problems; linear approach, field problem, definite integral and properties; Basic Theory of Analysis; areas of plane regions,
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Program Learning Outcomes |
Level of Contribution |
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1
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Acquired the necessary skills in the areas of mathematics, applied sciences and his/her own field; has the ability to use collectively these concepts and applications of these fields to solve the problems of Electrical and Electronics Engineering,
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4
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2
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Has the ability to define, identify, formulate and solve the problems of Electrical and Electronics Engineering and selects the appropriate analytic solutions, modelling and applies them in an orderly manner,
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3
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3
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Analyses a system or a process and designs it under the given constraints meeting the requirements; applies the up to date design techniques in this direction,
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-
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4
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Has the ability to choose and utilize the modern technologies and tools of engineering; has the ability to use information technologies and at least one software language (at the advanced European License level) in an efficient way,
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-
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5
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Has the ability to design experiments, carries out experiments, analyses results and makes comments on these results,
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-
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6
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Has access to information and undertakes literature survey in this direction; has the ability to search and use databases and other data resources,
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3
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7
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Can participate and assume responsibility in multidisciplinary task forces,
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-
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8
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Has the ability to communicate in Turkish verbally and in written forms; has the knowledge of one foreign language of European portfolio at the B1 level,
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-
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9
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Conscious of lifelong learning; follows the science and technological developments and updates himself/herself continually,
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3
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10
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Has the responsibility and conscious in his/her profession,
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-
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11
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Has the ability to conduct projects, has knowledge of the work procedures, health of workers, environment and safety procedures of work places; is aware of legal consequences of engineering applications,
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-
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12
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Is conscious of the consequences and effects of engineering solutions and applications in public and universal dimensions; is aware of innovation matters and has knowledge of the contemporary issues and problems,
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4
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