Prerequisite Materials for Math 3D
- Substitution Rule
Reviews the substitution rule for evaluating indefinite integrals.
- Integration by Parts
Reviews the integration by parts technique for evaluating indefinite integrals.
- Improper Integrals
Covers the definition for definite integrals whose upper limit of integration is infinity, and tools for computing such integrals, including l'Hopital's Rule.
- Integration with Parameters
In Math 3D there are lots of integrals with an extra variable in them. This section covers how we deal with such integrals.
- Linear Indepedence
Reviews the definition for linear indepence of vectors, and extends the definition to polynomials.
- Eigenvalues and Eigenvectors
Reviews the definition of eigenvalues, eigenvectors and eigenspaces of a square matrix, and the algorithm to compute them.
- Sigma Notations
Briefly reviews how to write sums elegantly using sigma notations, and introduces how to "shift index" for sigma notations.