104004 – Differential and Integral Calculus 2

Differential and Integral Calculus 2 – 104004

Lecture Topics

  1. Vectors, the dot and cross products
  2. Lines, planes, curves and surfaces
  3. Functions – limits and continuity
  4. Differentiability, partial and directional derivatives, the chain rule, the gradient
  5. Taylor’s theorem, the implicit function theorem, extrema and Lagrange multipliers
  6. Double and triple integrals, change of variables
  7. Line integrals and surface integrals
  8. Divergence and curl, Green, Gauss and Stokes’ theorems, conservative fields

Prerequisites

Differential and Integral Calculus 2, 104003

Textbook

The mandatory material is what we cover in class. For further reading, a standard Multivariable Calculus book is “Vector Calculus” by Marsden and Tromba, 5’th edition. There are many first year Calculus books, most of which are rather similar, that can be found in the Technion libraries, and contain plenty of additional exercises. Also, the course webpage includes a link to a free online book called “Introduction to Real Analysis” by W. Trench

Contact Hours per Week

Lecture: 4 hours

Recitation: 2 Hours

Credit points: 5