ECE 570: Engineering Mathematics
Spring Semester 1998,
Professor Salapaka
# 3128, Coover Hall
Email: murti@iastate.edu
Ph: 1-515-294-0398
URL: http://www.eng.iastate.edu/~murti/
Course Outline
Part-I: Linear Algebra
- Introduction and Review
Matrices, vectors, determinants, orthogonality.
- Linear Spaces
Linear spaces, Linear operators, Linear Equations, Eigenvalues, Inner product spaces, Normed linear spaces.
- Canonical forms
Orthogonal and unitary similarity transformations, Singular-Value decomposition, Jordan Canonical form, Equivalence transformations
- Differential and Difference equations
Matrix exponential, Stability, Lyapunovs theorem, Modal decomposition.
Part-II Analysis
- Basic topology
Finite, countable and uncountable sets, open sets, closed sets, compact sets.
- Numerical sequences
Convergent sequences, subsequences, cauchy sequences
- Continuity
Limits of functions, continuous functions, compactness.
- Differentiation
Derivative, Mean-value theorems
- Optimization
Simplex, convex optimization.