MATH 3200: Mathematical Methods Last updated Nov 19, 2020 Save as PDF 3.E: Chapter Review Excercises Front Matter Page ID10152 Pamini ThangarajahMount Royal University ( \newcommand{\kernel}{\mathrm{null}\,}\) Front MatterTitlePageInfoPageTable of ContentsLicensing1: Power SeriesNo image available1.1: Power Series1.2: Properties of Power Series1.3: Taylor and Maclaurin Series1.4: Working with Taylor Series1 E: Chapter Exercises2: Ordinary differential equationsNo image available2.1: Linear Second Order Homogeneous Equations2.2: Linear Second Order Constant Coefficient Homogeneous Equations2.3: Linear Second Order Nonhomogeneous Linear Equations2.4: The Method of Undetermined Coefficient2E: Exercises3: Series Solutions of Linear Second order EquationsNo image available3.1: Review of Power Series3.2: Series Solutions Near an Ordinary Point I3.3: Series Solutions Near an Ordinary Point II3.4: Regular Singular Points: Euler Equations3.5: The Method of Frobenius I3.6: The Method of Frobenius II3.7: The Method of Frobenius IIIShow all4: Linear Systems of Ordinary Differential Equations (LSODE)No image available4.1: Introduction to Systems of Differential Equations4.2: Linear Systems of Differential Equations4.3: Basic Theory of Homogeneous Linear System4.4: Constant Coefficient Homogeneous Systems I4.5: Constant Coefficient Homogeneous Systems II4.6: Constant Coefficient Homogeneous Systems III4.7: Variation of Parameters for Nonhomogeneous Linear SystemsShow all5: Vector-Valued FunctionsNo image available5.1: Vector-Valued Functions and Space Curves5.2: Calculus of Vector-Valued Functions5.3: Arc Length and Curvature5.4: Motion in Space5E: Excercises6: Differentiation of Functions of Several VariablesNo image available6.1: Functions of Several Variables6.2: Limits and Continuity6.3: Partial Derivatives6.4: Tangent Planes and Linear Approximations6.5: The Chain Rule for Multivariable Functions6.6: Directional Derivatives and the Gradient6.7: Maxima/Minima Problems6.8: Lagrange MultipliersShow all7: Multiple IntegrationNo image available7.1 :Double Integrals over Rectangular Regions7.2: Double Integrals over General Regions7.3: Double Integrals in Polar Coordinates7.4: Triple Integrals7.5: Triple Integrals in Cylindrical and Spherical Coordinates7.6: Calculating Centers of Mass and Moments of Inertia7.7: Change of Variables in Multiple IntegralsShow all8: Partial Differential EquationsNo image available8.1: Laplace Equations8.2: The heat equation8.3: Wave Equations8E: Excercise9: Vector CalculusNo image available9.1: Vector Fields9.2: Line Integrals9.3: Conservative vector Fields9.4: Green's Theorem9.5: Divergence and Curl9.6: Surface Integrals9.7: Stoke's Theorem9.8: The Divergence Theorem9E: Chapter ExercisesShow allSummary TablesNo image availableSummary of Convergence TestsSummary of TheoremsSummary table of derivativesSummary Table Of IntegralsBack MatterIndexGlossaryDetailed Licensing