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Week - 1 |
Limit and Continuity |
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Week - 2 |
Definition of Derivative, Tangent Line, Properties of Derivatives, Chain Rule |
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Week - 3 |
Derivatives of Polynomial, Rational, and Algebraic Functions |
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Week - 4 |
Derivatives of Exponential and Logarithmic Functions |
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Week - 5 |
Applications of Derivatives: Increasing and Decreasing Functions, Local Extremum Points |
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Week - 6 |
Concavity, Graphic Drawing |
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Week - 7 |
Indefinite Integral; Basic Integral Rules |
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Week - 8 |
Integrals of Polynomial, Rational, Algebraic, Exponential, and Logarithmic Functions |
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Week - 9 |
Methods of Indefinite Integration: Substitution Method, Integration by Parts, and Decomposition into Simple Fractions |
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Week - 10 |
Definite Integrals and Their Properties |
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Week - 11 |
Application of Definite Integrals to Area and Volume Calculations |
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Week - 12 |
Matrix Definition and Operations on Matrices |
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Week - 13 |
Determinant |
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Week - 14 |
Solutions of Linear Equation Systems |