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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R1-Chapter 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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R1-Chapter 2
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3
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Polynomials and rational functions; trigonometric functions
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R1-Chapter 3
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4
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Limits of functions; limits and infinite limits at infinity; continuity
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R1-Chapter 4
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5
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Tangent lines and slopes; Derivative and Derivative Rules
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R2-Chapter 1
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6
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Chain rule; derivatives of trigonometric functions; higher order derivatives
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R2-Chapter 2
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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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R2-Chapter 3
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8
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Exponential and logarithmic functions; natural logarithm and inverse function
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R2-Chapter 4
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9
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Inverse trigonometric functions; hyperbolic functions
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R2-Chapter 5
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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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R3-Chapter 1
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11
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Concavity and bending point, second derivative test; asymptotes and graphic drawings
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R3-Chapter 2
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12
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Optimization problems; linear approach
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R3-Chapter 3
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13
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Area problem, definite integral and properties; The Basic Theory of Analysis
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R3-Chapter 4
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14
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Variable changing method; Areas of plane regions
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R3-Chapter 5
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