LINKS TO SUPPLEMENTARY ONLINE CALCULUS NOTES
Supplementary Notes and Problems(Rossi) | ||
Topics | ||
Supplementary Notes (Rossi), Chapter 13, PDF | ||
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, Geometry of Space Curves, Supplementary Notes (Rossi), Sections 14.2-3 | ||
Practice Problems 3, PDF | ||
Answers to Practice Problems 3, PDF | ||
Coordinates and Surfaces, Supplementary Notes (Rossi), Chapter 15 PDF | ||
Graphs, Quadric Surfaces, Other coordinates, 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 in Several 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 in Several Variables | ||
Optimization, Lagrange 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 Surface 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's Theorem | ||
Supplementary Notes (Rossi), Section 18.3,4 | ||
Practice Problems 11, PDF | ||
Answers to Practice Problems 11, PDF | ||
Stokes' and Gauss' Divergence Theorems, Vector Calculus in 3D | ||
Supplementary Notes (Rossi), Section 18.5 | ||
Practice Problems 12, PDF | ||
Answers to Practice Problems 12, PDF |