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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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Set notion, Operations on sets, Universal set, The power set, Representation of sets
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R1- Section 2.1-2.6
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2
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Real numbers and its subsets, Four operations in numbers and their properties
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R2- Preliminaries-P1
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3
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Intervals, Absolute value, Equations, Inequalities, Solutions of systems of equations and inequalities
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R2- Preliminaries-P1
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4
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Plane, Cartesian coordinates in plane, Lines, Equation of lines
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R2- Preliminaries-P2
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5
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Circles, Disks, Parabola, Ellipse and Hyperbolic equations
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R2- Preliminaries-P3
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6
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Functions and their graphs, Odd and even functions, Some special functions, Operations in functions
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R2- Preliminaries-P4
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7
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Composite functions, Piecewise defined functions
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R2- Preliminaries-P5
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8
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Trigonometric functions, Some trigonometric identities, Sum and difference formulas
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R2- Preliminaries-P7
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9
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Limit of functions, Limit rules, Squeeze Theorem
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R2- Section 1.1-1.3
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10
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The continuity of a function at a point and in an interval
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R2- Section 1.4
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11
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Discontinuity, Removable discontinuity, Continuous extensions
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R2- Section 1.4
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12
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Continuous functions on a finite and closed interval
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R2- Section 1.4
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13
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Formal definition of limit and its applications
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R2- Section 1.5
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14
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Tangent and normal lines
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R2- Section 2.1
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