Week | Topics | Study Materials | Materials |
1 |
First Meeting, Introduce the course
5.1 Antiderivatives and Indefinite Integral
5.2 Integration by Substitution
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2 |
5.3 Differential Equations; Growth and Decay
Continuous Compound Interest (Revisited)
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3 |
5.4 The Definite Integral
5.5 The Fundamental Theorem of Calculus
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4 |
5.6 Area Between Curves
Applications: Income Distribution, Gini Index
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5 |
6.1 Integration by Parts
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6 |
6.2 Other Integration Methods
Using a Table of Integrals, Substitution and Integral Tables, Reduction Formulas
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7 |
6.3 Applications in Business and Economics
Probability Density Functions, Continuous Income Stream, Future Value of a Continuous Income Stream, Consumers’ and Producers’ Surplus
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8 |
6.4 Integration of Trigonometric Functions
Application
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9 |
7.1 Functions of Several Variables
7.2 Partial Derivatives
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10 |
7.3 Maxima and Minima
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11 |
7.4 Maxima and Minima Using Lagrange Multipliers
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12 |
7.5 Method of Least Squares
Least Squares Approximation and Applications
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13 |
7.6 Double Integrals over Rectangular Regions
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14 |
7.7 Double Integrals over More General Regions
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