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N-dimensional Euclidean Space. Concepts From Point-set Topology, Compactness, Connectedness and Path-wise Connectedness. Maps Between Euclidean Spaces, Continuity and Differentiability. Taylor S Formula And Local Extrema. The Inverse and Implicit Function Theorems. Constrained Extrema and Lagrange Multipliers. Embedded Differentiable Manifolds. Curves, Length, Line Integrals. Multiple Riemann Integration, Change of Variables Formula, Improper Integrals. Surface Area and Surface Integral. Flux. Divergence and Rotor Operators. Green, Stokes and Gauss Theorems. Conservative Fields.

Faculty: Mathematics
|Undergraduate Studies

Pre-required courses

(104032 - Calculus 2m and 104173 - Linear Algebra 2) or (104032 - Calculus 2m and 104174 - Algebra Bm) or (104032 - Calculus 2m and 104168 - Algebra B) or (104168 - Algebra B and 104281 - Infinitesimal Calculus 2) or (104173 - Linear Algebra 2 and 104281 - Infinitesimal Calculus 2) or (104174 - Algebra Bm and 104281 - Infinitesimal Calculus 2)

Course with no extra credit

104004 - Differential and Integral Calculus 2 104013 - Differential and Integral Calculus 2t 104014 104020 - Calculus 2n 104022 - Differential and Integral Calculus 2m 104033 - Vector Analysis 104043 - Differential and Integral Calculus 2m1 104044 - Differential and Integral Calculus 2m2

Course with no extra credit (contained)

104282 - Infinitesimal Calculus 3

• Advanced calculus - Buck, R. Creighton
• Analysis on manifolds - Munkres, James R.
• Calculus on manifolds : a modern approach to classical theorems of advanced calculus. - Spivak, Michael
• Multivariable mathematics : linear algebra, multivariable calculus, and manifolds - Shifrin, Theodore
• Principles of mathematical analysis - Rudin, Walter
• Principles of mathematical analysis. - Rudin, Walter
• חשבון אינפיניטסימלי מתקדם - לינדנשטראוס, יורם