MITx Multivariable Calculus starts next week

Syllabus<p><pre><code> Unit 1: Functions of two variables Graphing functions and slicing Level curves Partial derivatives Tangent planes Linear approximation Unit 2: Geometry of derivatives Vectors Dot products Gradients Vector fields Directional derivatives Unit 3: Optimization Critical points Second derivative test Constrained optimization Lagrange multipliers Least squares approximation Unit 4: Matrices Systems of equations Matrix algebra Undetermined and overdetermined systems Linear functions as matrix maps Unit 5: Curves Parametric curves in 2 and 3 dimensions Chain rule Vectors and derivatives in three dimensions and higher</code></pre>