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Friday, February 15, 2019

Affine approximation and Integration D(3&4)


Chapter 3: Best affine approximations

3.1 Best affine approximations Download here

3.2 Best affine approximations, derivatives, and rates of change Download here

3.3 Differentiation of polynomials and rational functions Download here

3.4 Differentiation of compositions of functions Download here

3.5 Differentiation of trigonometric functions Download here

3.6 Newton’s method Download here

3.7 Rolle’s Theorem and the Mean Value Theorem Download here

3.8 Finding maximum and minimum values Download here

3.9The geometry of graphs Download here


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Chapter 4: Integration

4.1 The definite integral Download here

4.2 Numerical approximations of definite integrals Download here

4.3 The fundamental theorem of calculus Download here

4.4Using the fundamental theorem Download here

4.5 More techniques of integration Download here

4.6 Improper integrals Download here

4.7 More on area Download here

4.8 Distance, position, and the length of curves Download here

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