Science:Math Exam Resources/Courses/MATH221

From UBC Wiki
Jump to: navigation, search


Math kid.jpg
MATH221



General Course Info

Visit the course main page here.

Past Final Exams

Dynamic Course Syllabus

Official Course Syllabus here.

1.1 Systems of linear equations

1.2 Row reduction and echelon forms

1.3 Vector equations

1.4 The matrix equation Ax = b

1.5 Solution sets of linear equations

1.6 Applications of linear systems

1.7 Linear independence

1.8 Introduction to linear transformations

1.9 The matrix of a linear transformation

2.1 Matrix operations

2.2 The inverse of a matrix

2.3 Characterizations of invertible matrices

2.5 Subspaces of Rn

2.6 Dimension and rank

3.1 Introduction to determinants

3.2 Properties of determinants

4.1 Eigenvalues and eigenvectors

4.2 The characteristic equation

4.3 Diagonalization

4.6 Discrete dynamical systems

5.1 Inner product, length, and orthogonality

5.2 Orthogonal sets

5.3 Orthogonal projections

5.5 Least-squares problem

5.6 Applications to linear models

All Topics in this Course in Alphabetical Order

MER QGH flag, MER QGQ flag, MER QGS flag, MER QGT flag, MER Tag Determinants---MER QGQ flag, MER RH flag, MER RS flag, MER RT flag, MER Tag Least squares---MER QGH flag, MER QGQ flag, MER QGS flag, MER QGT flag, MER Tag Orthogonal projection---MER CH flag, MER CT flag, MER QGQ flag, MER RS flag, MER Tag Recursion---MER CH flag, MER RQ flag, MER RS flag, MER RT flag, MER Tag Eigenvalues and eigenvectors, MER Tag Reflection---MER CH flag, MER RQ flag, MER RS flag, MER RT flag, MER Tag Eigenvalues and eigenvectors, MER Tag Matrix diagonalization---MER RH flag, MER RQ flag, MER RS flag, MER RT flag, MER Tag Cayley-Hamilton theorem---MER CH flag, MER QGQ flag, MER RS flag, MER RT flag, MER Tag Invertibility, MER Tag Matrix diagonalization---MER CH flag, MER QGQ flag, MER RS flag, MER RT flag, MER Tag Eigenvalues and eigenvectors---MER CH flag, MER QGQ flag, MER RS flag, MER RT flag, MER Tag Linear independence and bases---MER CH flag, MER QGQ flag, MER RS flag, MER RT flag, MER Tag Invertibility---MER CH flag, MER QGQ flag, MER RS flag, MER RT flag, MER Tag Eigenvalues and eigenvectors, MER Tag Rank and nullity---MER CH flag, MER QGQ flag, MER RS flag, MER RT flag, MER Tag Eigenvalues and eigenvectors---MER CH flag, MER QGQ flag, MER QGS flag, MER QGT flag, MER Tag Eigenvalues and eigenvectors---MER QGQ flag, MER QGT flag, MER RH flag, MER RS flag, MER Tag Rank and nullity---MER QGQ flag, MER RH flag, MER RS flag, MER RT flag, MER Tag Linear independence and bases---MER QGQ flag, MER RH flag, MER RS flag, MER RT flag, MER Tag Linear independence and bases---MER QGQ flag, MER RH flag, MER RS flag, MER RT flag, MER Tag Linear independence and bases---MER CH flag, MER QBS flag, MER RQ flag, MER RT flag, MER Tag Linear independence and bases---MER CH flag, MER RQ flag, MER RS flag, MER RT flag, MER Tag Four fundamental subspaces---MER CH flag, MER RQ flag, MER RS flag, MER RT flag, MER Tag Linear systems---MER CH flag, MER RQ flag, MER RS flag, MER RT flag, MER Tag Determinants---MER CH flag, MER RQ flag, MER RS flag, MER RT flag, MER Tag Eigenvalues and eigenvectors---MER CH flag, MER CS flag, MER RQ flag, MER RT flag, MER Tag Least squares---MER CH flag, MER RQ flag, MER RS flag, MER RT flag, MER Tag Determinants---MER QGH flag, MER QGQ flag, MER QGS flag, MER QGT flag, MER Tag Optimization---MER QGH flag, MER QGQ flag, MER QGS flag, MER RT flag, MER Tag Reflection---MER QGH flag, MER QGQ flag, MER QGS flag, MER RT flag, MER Tag Reflection---MER QGH flag, MER QGQ flag, MER QGS flag, MER RT flag, MER Tag Reflection---MER QGH flag, MER QGQ flag, MER QGS flag, MER QGT flag, MER Tag Orthogonal complement---MER QGH flag, MER QGQ flag, MER QGS flag, MER QGT flag, MER Tag Least squares---MER QGH flag, MER QGQ flag, MER QGS flag, MER RT flag, MER Tag Orthogonal projection---MER QGH flag, MER QGQ flag, MER QGS flag, MER RT flag, MER Tag Orthogonal projection---MER QGH flag, MER QGQ flag, MER QGS flag, MER RT flag, MER Tag Orthogonal projection---MER CH flag, MER RQ flag, MER RS flag, MER RT flag, MER Tag Four fundamental subspaces---MER CH flag, MER RQ flag, MER RS flag, MER RT flag, MER Tag Gaussian elimination---MER CH flag, MER RQ flag, MER RS flag, MER RT flag, MER Tag Invertibility, MER Tag Matrix operations---MER CH flag, MER RQ flag, MER RS flag, MER RT flag, MER Tag Vector space---MER CH flag, MER RQ flag, MER RS flag, MER RT flag, MER Tag Determinants---MER CH flag, MER RQ flag, MER RS flag, MER RT flag, MER Tag Determinants, MER Tag Invertibility---MER CH flag, MER RQ flag, MER RS flag, MER RT flag, MER Tag Linear independence and bases---MER CH flag, MER CT flag, MER RQ flag, MER RS flag, MER Tag Matrix operations---MER CH flag, MER RQ flag, MER RS flag, MER RT flag, MER Tag Eigenvalues and eigenvectors---MER CH flag, MER RQ flag, MER RS flag, MER RT flag, MER Tag Eigenvalues and eigenvectors---MER CH flag, MER RQ flag, MER RS flag, MER RT flag, MER Tag Eigenvalues and eigenvectors, MER Tag Rank and nullity---MER CH flag, MER RQ flag, MER RS flag, MER RT flag, MER Tag Eigenvalues and eigenvectors, MER Tag Reflection---MER CH flag, MER RQ flag, MER RS flag, MER RT flag, MER Tag Eigenvalues and eigenvectors---MER CH flag, MER RQ flag, MER RS flag, MER RT flag, MER Tag Eigenvalues and eigenvectors---MER CH flag, MER RQ flag, MER RS flag, MER RT flag, MER Tag Eigenvalues and eigenvectors---MER CH flag, MER RQ flag, MER RS flag, MER RT flag, MER Tag Matrix diagonalization---MER QGH flag, MER QGQ flag, MER QGS flag, MER RT flag, MER Tag Linear independence and bases---MER QGH flag, MER QGQ flag, MER QGS flag, MER QGT flag, MER Tag Determinants---MER RH flag, MER RQ flag, MER RS flag, MER RT flag, MER Tag Determinants---MER RH flag, MER RQ flag, MER RS flag, MER RT flag, MER Tag Linear independence and bases---MER RH flag, MER RQ flag, MER RS flag, MER RT flag, MER Tag Orthogonal projection---MER QGH flag, MER QGQ flag, MER QGS flag, MER QGT flag, MER Tag Eigenvalues and eigenvectors---MER QGH flag, MER QGQ flag, MER QGS flag, MER QGT flag, MER Tag Eigenvalues and eigenvectors, MER Tag Matrix diagonalization---MER QGQ flag, MER RH flag, MER RS flag, MER RT flag, MER Tag Determinants---MER RH flag, MER RQ flag, MER RS flag, MER RT flag, MER Tag Eigenvalues and eigenvectors, MER Tag Matrix similarity---MER CH flag, MER CT flag, MER RQ flag, MER RS flag, MER Tag Eigenvalues and Eigenvectors---MER CH flag, MER RQ flag, MER RS flag, MER RT flag, MER Tag Linear transformation definition---MER CH flag, MER RQ flag, MER RS flag, MER RT flag, MER Tag Matrix similarity---MER RH flag, MER RQ flag, MER RS flag, MER RT flag, MER Tag Linear independence and bases---MER RH flag, MER RQ flag, MER RS flag, MER RT flag, MER Tag Eigenvalues and eigenvectors, MER Tag Matrix diagonalization---MER QGQ flag, MER RH flag, MER RS flag, MER RT flag, MER Tag Determinants, MER Tag Eigenvalues and eigenvectors---MER CH flag, MER RQ flag, MER RS flag, MER RT flag, MER Tag Determinants---MER CH flag, MER CT flag, MER QGQ flag, MER RS flag, MER Tag Eigenvalues and eigenvectors---MER CH flag, MER QGQ flag, MER RS flag, MER RT flag, MER Tag Recursion---MER CH flag, MER RQ flag, MER RS flag, MER RT flag, MER Tag Least squares---MER CH flag, MER QGQ flag, MER RS flag, MER RT flag, MER Tag Eigenvalues and eigenvectors---MER CH flag, MER QGQ flag, MER RS flag, MER RT flag, MER Tag Eigenvalues and eigenvectors---MER QGH flag, MER QGQ flag, MER QGS flag, MER RT flag, MER Tag Matrix diagonalization---MER QGH flag, MER QGQ flag, MER QGS flag, MER RT flag, MER Tag Matrix operations---


Day of final exam: Wednesday, December 17th at 12pm