MATH 2200: Calculus for Scientists II
- Page ID
- 10151
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In this course, students will learn advanced methods of integration, partial differentiation, introduction to first and second-order linear differential equations and a variety of applications. The main concepts of multivariable calculus will also be introduced.
- 1: Applications of Integration
- 1.1: Volumes of solids of revolution -cross-sections
- 1.2: Volumes of solids of revolution - cylindrical shells
- 1.3: Surface area (surfaces of revolution)
- 1.4: Other applications: Work, centroid, and center of mass
- 1.5: Moments and Centers of Mass
- 1.7: Calculus of the Hyperbolic Functions
- 1.E: Chapter Review Exercises
- 6: Parametric Equations and Polar Coordinates
- 6.0: Prelude to Parametric Equations and Polar Coordinates
- 6.1: Parametric equations - Tangent lines and arc length
- 6.2: Calculus of Parametric Curves
- 6.3: Polar coordinates: definitions, arc length, and area for polar curves
- 6.4: Area and Arc Length in Polar Coordinates
- 6.5: Conic Sections
- 6E: Chapter Exercises
- 9: Multiple Integration
- 9.1 Double Integrals over Rectangular Regions
- 9.2: Double Integrals over General Regions
- 9.3: Double Integrals in Polar Coordinates
- 9.4: Triple Integrals
- 9.5: Triple Integrals in Cylindrical and Spherical Coordinates
- 9.6: Calculating Centers of Mass and Moments of Inertia
- 9.7: Change of Variables in Multiple Integrals
- 9E: Chapter Review Exercises