The TestMe™ below is a limited version of the full TestMe™ feature.
To access the full functionality of the TestMe™ feature:
Register Now
Hide This
Differential Calculus
Differential calculus, an advanced form of secondary school algebra, is a foundational mathematical discipline.
Topics Covered
- Review of numbers, inequalities, functions, analytic geometry; limits, continuity; derivatives and applications, Taylor polynomials; logarithms, exponents, and inverse trigonometric functions
- Integration, fundamental theorem of calculus substitution, trapezoidal, Simpson's rules, area between curves, techniques of integration
- Applications of integration to planar areas and lengths, volumes and masses
- First order ordinary differential equations: separable, linear, direction fields, Euler's method, applications
- Infinite series, power series, Taylor expansions with remainder terms
- Polar coordinates
- Rectangular, spherical and cylindrical coordinates in three-dimensional space
- Parametric curves in the plane and space: graphing, arc length, curvature; normal binormal, tangent plane in three-dimensional space
- Volumes and surface areas of rotation, partial differentiation, derivatives of integrals
- Multiple integration using rectangular, cylindrical, and spherical coordinates
- Vector Field Theory
