everything.study
BIT 1101

Mathematics II for IMD

0.5 credit · Undergraduate

Tailored for students in the Interactive MultiMedia Design program, this course covers systems of linear equations, vector space of n-tuples, subspaces and bases, matrix transformations, kernel, range, matrix algebra and determinants, inner products and orthogonality, eigenvalues, diagonalization and applications.

2022

Topics

  • Gaussian elimination and Gauss-Jordan elimination. Solution sets of
  • linear equations.
  • Geometric vectors, algebraic vectors, vector operations, dot and cross
  • product. Rn, vector spaces, subspaces, matrix vector space.
  • Linear combinations, spanning sets and linear independence, bases
  • and dimensions.
  • Linear transformations, null spaces, ranges, matrix représentations of
  • a lienar transformation, composition.
  • Tutorial 4 – Assignement 2
  • and systems of linear equations.
  • Coordinates and change of basis, the determinant of a matrix
  • properties of determinants.
  • Cramer’s Rule, eigenvalues and eigenvectors.
  • Diagonalization, linear transformations and orthogonal matrices.
  • Orthogonal bases and GramSchmidt process, scaling transformations
  • rotation transformation.
  • Homogeneous coordinats, four-dimensional transformations, points
  • directions, geometrical interpretation of x-coordinate.
  • Transforming normal vectors. Quaternions.
  • Review.

Prerequisites & course information

Precludes additional credit for BIT 1001 , BIT 1201 , ECON 1401 , ECON 1402 , MATH 1104 , MATH 1107 , MATH 1119 , MATH 1152 , MATH 1401 , MATH 1402 . Lectures three hours a week, tutorial and laboratory one hour a week.

Sources