Weeks | Topics |
1 |
Introduction
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2 |
Limits, Properties of limit, One sided limits
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3 |
Infinite limits, Limits at Infinity , Limits and Algebraic Manipulation
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4 |
Continuity
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5 |
Derivative, Rules for differentiation, Higher-order derivatives, chain rule
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6 |
Derivative of parametric equations, Geometric Interpretation of the derivative, Derivatives of exponential and logarithmic function
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7 |
L’Hospital Rule, derivative of implicit function
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8 |
Partial derivatives, second order partial derivatives, Maxima and minima calculations
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9 |
Integration, Basic Integrations Formulas
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10 |
Integration by Substitution, Partial integration
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11 |
Integration of fractions
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12 |
The definite integral, Area between curves
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13 |
Matrix Algebra, Properties and operations of matrices
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14 |
Determinant concept, Cramer rule
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