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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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Mean value theorem, increasing and decreasing functions
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R1. Chapter 4
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2
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Extremum values and first derivative test
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R1. Chapter 4
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3
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Concavity and reflection points, second derivative test
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R1. Chapter 4
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4
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L`Hospital rule
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R1. Chapter 4
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5
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Asymptotes and graph plotting
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R1. Chapter 4
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6
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Optimization problems, relative ratio
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R1. Chapter 4
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7
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Indefinite integral and basic integration formulas
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R1. Chapter 5
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8
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Methods of indefinite integration, changing variables method
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R1. Chapter 5
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9
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Integration by parts and integration by simple fractions
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R1. Chapter 5
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10
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Definite integral and its properties, the mean value theorem of the integral
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R1. Chapter 6
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11
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Area under a curve
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R1. Chapter 7
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12
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The volume of a solid of revolution
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R1. Chapter 7
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13
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Multivariable functions,
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R1. Chapter 13
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14
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Partial derivatives,
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R1. Chapter 14
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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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Assoç. Prof. Dr. Faruk KARAASLAN
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Instructors
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-
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Assistants
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Members of Mathematics Department
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Resources
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R1. Balcı, M. (2016). Genel matematik II, Palme Yayıncılık
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Supplementary Book
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SR1.Temel Matematik, Doç.Dr.Basri Çelik, Prof.Dr.İsmail Naci Cangül, Yrd.Doç.Dr.Nisa Çelik, Doç.Dr.Osman Bizim, Doç.Dr.Metin Öztürk, Dora Basım-Yayın, 2010
SR2. Bittinger, M. L., Ellenbogen, D., Surgent, S. A., & Kramer, G. F. (2012). Calculus and its applications. Reading, MA, Harlow: 10th Ed. Addison-Wesley.
SR3. Weir, G. B., Hass, J., & Giordano, F. R. (2005). Thomas calculus. 11th (international edition) ed.
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Goals
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Teaches the basic mathematical notions and subjects that are necessary for a student to solve the mathematical problems of his area
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Content
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Mean value theorem, increasing and decreasing functions, Extremum values, first derivative test, concavity and inflection points, second derivative test, L`hospital rule, Asymptotes and sketching graphs, Optimization problems, related rates, indefinite integral, basic integral formulas, technics for computing indefinite integrals, integration by changing variables, integration by parts, integrals of rational functions, the definite integral and its properties, Mean value theorem for integrals, area under the curves, volumes of solids of revolution, Functions in multivariables, partial dervatives.
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Program Learning Outcomes |
Level of Contribution |
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1
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Having advanced theoretical and applied knowledge in the basic areas of mathematics
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4
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2
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Ability of abstract thinking
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3
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3
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To be able to use the acquired mathematical knowledge in the process of defining, analyzing and separating the problem encountered into solution stages.
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-
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4
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Associating mathematical achievements with different disciplines and applying them in real life
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-
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5
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Ability to work independently in a problem or project that requires knowledge of mathematics
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-
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6
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Ability to work harmoniously and effectively in national or international teams and take responsibility
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-
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7
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Having the skills to critically evaluate and advance the knowledge gained from different areas of mathematics
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4
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8
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To be able to determine what kind of knowledge learning the problem faced and to direct this knowledge learning process.
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-
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9
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To adopt the necessity of learning constantly by observing the improvement of scientific accumulation over time
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-
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10
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Ability to verbally and in writing convey thoughts on mathematical issues, and solution proposals to problems, to experts or non-experts.
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-
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11
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Being able to produce projects and organize events with social responsibility awareness
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-
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12
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Being able to follow publications in the field of mathematics and exchange information with colleagues by using a foreign language at least at the European Language Portfolio B1 General Level
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-
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13
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Ability to use computer software (at least at the Advanced Level of European Computer Use License), information and communication technologies for solving mathematical problems, transferring ideas and results
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-
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14
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Being conscious of acting in accordance with social, scientific, cultural and ethical values
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-
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