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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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Derivative, Differentials, Rules for derivative, Chain rule
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2
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Increasing and decreasing functions, Mean Value Theorem
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3
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Implicit differentiation, Higher order derivatives, Anti derivative
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4
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Inverse functions, Exponential and logarithmic functions, Natural logarithm
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5
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Inverse trigonometric functions, Hyperbolic functions
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6
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Liear differential equations with constant coefficients
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7
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Related rates, Concavity and inflection points
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8
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Linear approximations, Error analysis, Undetermined forms
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9
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Sum and product symbols, Some sum and product formulas, Series and sequences
Definite integral, Fundamental Theorem of Calculus
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10
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Techniques of integration
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11
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Improper integrals
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12
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Volumes of solids of revolution, Multiple integrals
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13
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Line integrals, Surface integrals, Green?s
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14
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Theorem, Divergence Theorem, Stokes? Theorem
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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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Course Coordinator
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Assoc. Prof. Dr. Faruk POLAT
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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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Larry Zafran, Math Made a Bit Easier: Basic Math Explained in Plain English, CreateSpace, 2009.
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Supplementary Book
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Natanson, I. P., Theory of Functions of a Real Varible, Chap. 1,, 14, Ungar, 1955.
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Document
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Lecture notes, www.tureng.com, http://tmd2.org/sozluk , Dictionary of technical terms
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Goals
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The aim of this course is, in general, to teach basic terms related to mathematics included in scientific publications in English, and in particular to comprehend terms parallel to seen in basic mathematics courses and to provide students the ability of making translations from English to Turkish or vice versa.
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Content
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-
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Program Learning Outcomes |
Level of Contribution |
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1
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To have a grasp of theoretical and applied knowledge in main fields of mathematics
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4
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2
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To have the ability of abstract thinking
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3
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3
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To be able to use the gained mathematical knowledge in the process of identifying the problem, analyzing and determining the solution steps
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2
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4
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To be able to relate the gained mathematical acquisitions with different disciplines and apply in real life
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3
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5
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To have the qualification of studying independently in a problem or a project requiring mathematical knowledge
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2
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6
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To be able to work compatibly and effectively in national and international groups and take responsibility
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4
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7
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To be able to consider the knowledge gained from different fields of mathematics with a critical approach and have the ability to improve the knowledge
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-
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8
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To be able to determine what sort of knowledge the problem met requires and guide the process of learning this knowledge
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3
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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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5
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10
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To be able to transfer thoughts on issues related to mathematics, proposals for solutions to the problems to the expert and non-expert shareholders written and verbally
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4
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11
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To be able to produce projects and arrange activities with awareness of social responsibility
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-
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12
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To be able to follow publications in mathematics and exchange information with colleagues by mastering a foreign language at least European Language Portfolio B1 General Level
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3
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13
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To be able to make use of the necessary computer softwares (at least European Computer Driving Licence Advanced Level), information and communication technologies for mathematical problem solving, transfer of thoughts and results
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-
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14
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To have the awareness of acting compatible with social, scientific, cultural and ethical values
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3
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