## alwaei.comEMATICS 2210-90 Multivariable Calculus III

LINKS TO SUPPLEMENTARY ONLINE CALCULUS NOTES

**Supplementary Notes (Rossi), Chapter 13,**PDF

| Supplementary Notes and also Problems(Rossi) | ||

Topics | |||

Vector Algebra, Supplementary Notes (Rossi), Ch. 13.1 | |||

Planar vectors, distance and dot product, Supplementary Notes (Rossi), Sections 13.2,3 | |||

Practice Problems 1,PDF | |||

Answers to Practice Problems 1,PDF | |||

Supplementary Notes (Rossi), Chapter 14, Vector Calculus PDF | |||

Vector Algebra, Supplementary Notes (Rossi), Ch. 13.3,4,14.1 | |||

Vectors in Space, Lines and Planes, Vector Functions, Supplementary Notes (Rossi), Sections 13.4,14.1 | |||

Practice Problems 2, PDF | |||

Answers to Practice Problems 2, PDF | |||

Vector Calculus, Geomeattempt of Space Curves, Supplementary Notes (Rossi), Sections 14.2-3 | Practice Problems 3, PDF | ||

Answers to Practice Problems 3, PDF | |||

Coordinates and Surdeals with, Supplementary Notes (Rossi), Chapter 15PDF | |||

Graphs, Quadric Surencounters, Other collaborates, Supplementary Notes (Rossi), Sections 15.1-2 | |||

Practice Problems 4, PDF | |||

Answers to Practice Problems 4, PDF | |||

Supplementary Notes (Rossi), Sections 15.3,4 | |||

Differentiation inSeveral Variables, Supplementary Notes (Rossi), Chapter 16 PDF | |||

Chain Rule, Differentials, Tangent Plane, Gradients, Supplementary Notes (Rossi), Sections 16.1-2 | Practice Problems 5, PDF | ||

Answers to Practice Problems 5, PDF | |||

Differentiation inSeveral Variables | |||

Optimization, Lagselection Multipliers, Supplementary Notes (Rossi), Sections 16.3-4 | |||

Practice Problems 6, PDF | |||

Answers to Practice Problems 6, PDF | |||

Double Integrals,Supplementary Notes (Rossi), Chapter 17, PDF | |||

Double and Iterated Integrals, Supplementary Notes (Rossi), Chapter 17.1,2 | |||

Practice Problems 7, PDF | |||

Answers to Practice Problems 7, PDF | |||

Change of Variables | |||

Polar Coordinates, Change of Variables,Applications, Supplementary Notes (Rossi), Section 17.3,4 | |||

Practice Problems 8, PDF | |||

Answers to Practice Problems 8, PDF | |||

Triple and Surconfront Integrals, Supplementary Notes (Rossi), Chapter 17.5, PDF | |||

Iterated Integrals, Mass and Moment in 3D, Supplementary Notes (Rossi), Section 17.5 | |||

Practice Problems 9, PDF | |||

Answers to Practice Problems 9, PDF | |||

Line Integrals, Supplementary Notes (Rossi), Chapter 18, PDF | |||

Vector Fields, Div and Curl, Exact Differentials,Line Integrals, Independence of path | |||

Supplementary Notes (Rossi), Section 18.1,2,3 | |||

Practice Problems 10, PDF | |||

Answers to Practice Problems 10, PDF | |||

Independence of Path, Green"sTheorem | |||

Supplementary Notes (Rossi), Section 18.3,4 | |||

Practice Problems 11, PDF | |||

Answers to Practice Problems 11, PDF | |||

Stokes" and Gauss" Aberration Theorems, Vector Calculus in 3D | |||

Supplementary Notes (Rossi), Section 18.5 | |||

Practice Problems 12, PDF | |||

Answers to Practice Problems 12, PDF |