Math 210
Advanced Calculus For Data Science
| Section | Notes | Slides | Exercises | Solutions | ||
|---|---|---|---|---|---|---|
| Introduction | html | html | ||||
| > 1 Review of Algebra and Calculus | html | expand |
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| 1.1 Graphs of Functions | html | |||||
| 1.2 Limits and Derivatives | html | |||||
| 1.3 Applications of Derivatives | html | |||||
| 1.4 Definite Integrals | html | |||||
| > 2 Advanced Integration and Applications | html | html | expand |
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| 2.1 Area Between Curves | html | html | ||||
| 2.2 Volumes | html | html | ||||
| 2.3 Integration by Parts | html | html | ||||
| 2.4 Approximate Integration | html | html | ||||
| 2.5 Improper Integrals | html | html | ||||
| 2.6 Probability | html | html | ||||
| 2.7 Functions of Random Variables | html | html | ||||
| > 3 Series | html | html | expand |
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| 3.1 Taylor Polynomials | html | html | ||||
| 3.2 Sequences | html | html | ||||
| 3.3 Series | html | html | ||||
| 3.4 Power Series | html | html | ||||
| 3.5 Taylor Series | html | html | ||||
| > 4 Multivariable Functions | html | html | expand |
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| 4.1 Three-Dimensional Coordinate Systems | html | html | ||||
| 4.2 Functions of Several Variables | html | html | ||||
| 4.3 Limits and Continuity | html | html | ||||
| 4.4 Partial Derivatives | html | html | ||||
| 4.5 Linear Approximations | html | html | ||||
| > 5 Vectors in Calculus | html | html | expand |
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| 5.1 Vectors | html | html | ||||
| 5.2 The Dot Product | html | html | ||||
| 5.3 Normal Equations of Planes | html | html | ||||
| 5.4 The Gradient Vector | html | html | ||||
| 5.5 The Chain Rule | html | html | ||||
| 5.6 Maximum and Minimum Values | html | html | ||||
| 5.7 Lagrange Multipliers | html | html | ||||
| > 6 Multivariable Integration | html | html | expand |
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| 6.1 Double Integrals | html | html | ||||
| 6.2 Double Integrals over General Regions | html | html | ||||
| 6.3 Joint Probability Distributions | html | html | ||||
| 6.4 Triple Integrals | html | html | ||||