MATH 210: Multivariable CalculusProfessorDr. JamshidiSchoolLake Forest CollegeSemesterFall 2024Lecture NotesCourtesy of Sara Jamshidi, PhD · Shared with Permission1.Vectors & Surfaces[5]Drawing Three Dimensions — part 1Drawing Three Dimensions — part 2VectorsThe Dot ProductThe Cross Product2.Vector Functions[4]Vector Functions and Space CurvesDerivatives and Integrals of Vector FunctionsArc Length and CurvatureMotion in Space: Velocity and Acceleration3.Derivatives & Optimization[2]Partial DerivativesDirectional Derivatives and the Gradient Vector4.Integration[6]Double IntegralsDouble Integrals in Polar CoordinatesApplications of Double IntegralsSurface AreaTriple IntegralsTriple Integrals in Cylindrical and Spherical Coordinates5.Vector Calculus[1]Line Integrals, Green's Theorem, Divergence & Curl **My own handwritten notes.
