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Academics
Quantitative and Other Sciences
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Quantitative and Other
Sciences Courses
| Area |
Course Code
|
Course Name
|
Prerequisites
|
| Quant |
104
|
Physics
|
x |
x |
|
|
Vectors;
oscillations; wave motion; sound waves; electrostatics and field concepts;
electromagnetic induction; electromagnetic waves; electrical conduction
in conductors and semiconductors; network. Astrophysics, black holes,
tiling, etc. |
|
|
| Quant |
105
|
Logic and Discrete
Structures
|
x |
x |
|
|
Topics
include; Fundamental algebraic, logical and combinatorial concepts
such as; set algebra, partition algebra, relational algebra; algebraic
structures algorithmic closure, groups and semi-groups; Boolean algebra
and propositional logic, finite state machines, regular expressions;
Elements of the theory of directed and undirected graphs; finite state
machines; homomorphism, realization; Reachability; Applications of
these structures to various areas of computer science. Sets theory,
Mapping, Translation, Algebras, categories, predicate calculus, calculi,
discrete structures |
|
|
| Quant |
106
|
Calculus
|
x |
x |
|
|
Real
and complex numbers. Absolute values. Inequalities. Rectangular coordinates.
Functions and graphs. Fundament theorem of calculus. Cramer’s
rule. Limits and continuity functions. Derivatives. Differentiation
of algebraic functions. Integration. Definite integrals as limits
of upper and lower sums. Laplace and Fourier Transforms |
|
|
| Quant |
204
|
Statistics
|
x |
x |
|
|
Data
presentation, frequency distribution, measures of central tendencies,
Measures of dispersions, Regression analysis, Index Numbers, Time
series. Introduction to set and probability theory. Distribution of
Random Variables, Some special, discrete and continuous, probability
distributions, sampling theory, Estimation of statistical parameters,
Testing of Hypothesis, Analysis of Variance. |
|
|
| Quant |
303
|
Numerical Methods
and Numerical Algorithms
|
205
|
x
|
|
|
Concepts
and analysis; solutions of nonlinear equations by various methods
e.g. Inter-halving, linear interpolation, Newton, fixed point, q-d
Muller, etc. Interpolating polynomials; various types of differences;
representation of polynomials by differences; operators and their
relation; symbolic derivation; interpolation with unequal intervals;
inverse interpolation; 2 and 3 dimensional interpolation; numerical
differentiation and integration. Solution of systems of linear equations
by various methods.
Topics include systems of linear equations,
numerical integration, ordinary differential equations, and nonlinear
equations. Construction and use of large numerical systems. Influence
of data representation and computer architecture on algorithm choice
and development.
Fundamentals of numerical methods,
including discussion of errors, interpolation and approximation,
linear systems of equations, solution of nonlinear equations, and
numerical solution of ordinary differential equations. Emphasis
on algorithmic approach and the efficient use of the computer.
|
|
|
| Quant |
305
|
Operations Research
|
204
|
x
|
|
|
The
nature of operations research; formulating problems bad objective
analysis; types of problems, risk situations, maximizing effectiveness
& efficiency; maximum; model construction and approximations;
sequential decision models; transportations and assignment problem,
simplex method, duality; nature and structure of inventory problem;
deterministic problem form one item, one level; replacement maintenance;
capital equipment discounting cost; replacement in anticipation of
failures; group replacement; decision tree; reliability & probabilistic
problems; sequencing and coordination; pert and cpm. Solution of linear
system of equations by iterative methods; error analysis and illconditioning;
solution of system of nonlinear equations; linear programming, theory
of approximation; orthogonal polynomials; various order spleens; eigen
value computation. Solution of ordinary differential equations; various
order r-k methods; finite element analysis. |
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