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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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The Malthusian Model
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R1 - Chapter 1.1
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2
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Nonlinear Models
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R1 - Chapter 1.2
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3
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Analyzing Nonlinear Models
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R1 - Chapter 1.3
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4
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Variations on the Logistic Model
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R1 - Chapter 1.4
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5
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Comments on Discrete and Continuous Models
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R1 - Chapter 1.5
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6
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Linear Models and Matrix Algebra
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R1 - Chapter 2.1
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7
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Projection Matrices for Structured Models
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R1 - Chapter 2.2
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8
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Eigenvectors and Eigenvalues
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R1 - Chapter 2.3
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9
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Computing Eigenvectors and Eigenvalues
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R1 - Chapter 2.4
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10
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A Simple Predator-Prey Model
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R1 - Chapter 3.1
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11
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Equilibria of Multipopulation Models
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R1 - Chapter 3.2
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12
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Linearization and Stability
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R1 - Chapter 3.3
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13
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Positive and Negative Interactions 1
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R1 - Chapter 3.4
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14
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Positive and Negative Interactions 2
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R1 - Chapter 3.4
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Prerequisites
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-
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Language of Instruction
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English
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Responsible
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Dr. Harun Baldemir
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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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R1 - Allman, E. S., & Rhodes, J. A. (2004). Mathematical models in biology: an introduction. Cambridge University Press.
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Supplementary Book
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SR1 - Murray, J. D. (1989). Mathematical biology, vol. 19 of Biomathematics.
SR2 - Edelstein-Keshet, L. (2005). Mathematical models in biology. Society for Industrial and Applied Mathematics.
SR3 - Allen, L. J. (2007). Introduction to mathematical biology. Pearson/Prentice Hall.
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Goals
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Mathematical Biology course deals with mathematical expressions and solutions of biological models. This course will explain how difference equations and differential equations are used in the biological modeling.
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Content
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Difference equations and applications of differential equations in biology. Stability and its applications. Fork theory and applications.
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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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3
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2
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Ability of abstract thinking
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-
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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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4
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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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4
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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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-
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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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