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A companion single-variable calculus text, Difference Equations to Differential Equations is available here.
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|Geometry of Rn||Introduction to Rn||07-23-01|
|Angles and the dot product||07-23-01|
|The cross product||09-18-01|
|Lines, planes, and hyperplanes||07-23-01|
|Linear and affine functions||07-24-01|
|Operations with matrices||07-26-01|
|Functions from R to Rn||Curves||07-31-01||Best affine approximations||08-06-01||Motion along a curve||08-13-01|
|Functions from Rn to R||Geometry, limits, and continuity||09-07-01||Directional derivatives and the gradient||09-03-01||Best affine approximations||06-11-02||Second-order approximations||05-03-02||Extreme values||06-19-02||Definite integrals||07-24-02||Change of variables in integrals||07-29-02|
|Functions from Rm to Rn||Geometry, limits, and continuity||07-31-02||Best affine approximations||08-14-02||Line integrals||08-19-02||Green's theorem||08-22-02|