Text Reference 
Reference Books
1.
Title:
Numerical Recipes  The Art of Scientific
Computing
Authors:
William H. Press,
Saul A. Teukolsky,
William
T.
Vetterling, Brian P. Flannery
Cambridge University Press 2007. ISBN: 978
0521880688
2.
Title:
Scientific Computing
Author: Michael T. Heath
McGrawHill 2002. ISBN: 978007239910
3
3.
Title: Numerical Optimization
Authors:
Jorge Nocedal, Stephen Wright
Springer 2006. ISBN: 9780387303031
4.
Title:
Numerical Linear Algebra
Authors:
Lloyd N. Trefethen,
David Bau III
SIAM 1997. ISBN: 9780898713619
5.
Title: Probability, Random Variables and Stochastic
Processes
Authors:
Athanasios Papoulis, S. Unnikrishna Pillai
McGrawHill 2002. ISBN: 9780071226615
6.
Title: Elements of Information Theory
Authors: Thomas M. Cover, Joy A. Thomas
WileyInterscience 2006. ISBN: 9780471241959
7.
Title: Elementary Differential Geometry

Description 
Multivariate Calculus: Functions (multivariable,
vectorvalued) and their derivatives, Taylor series,
matrix calculus, basic vector calculus
2.
Optimization: unconstrained (gradient descent,
Newton`s method, LevenbergMarquardt algorithm,
quasiNewton methods), constrained (equality
constraints, Lagrange multipliers)
3.
Interpolation and regression: linear, polynomial,
Barycentric coordinates
4.
Numerical linear algebra: special matrices, matrix
decompositions
5.
Probability and statistics: distributions, mean,
variance, covariance, bounds, likelihood function,
Bayes rule, entropy, divergence, mutual information
6.
Introductory projective geometry
7.
Introductory differential geometry: tangent, normal,
curvature
8.
Numerical integration of functions and introductory
numerical differential equations
The implementationbased exercises will rely on C/C++ or
Scilablike intelligentcomputing environments. As part of
the implementationbased exercises, the students will be
introduced to software tools for intelligent computing. 