Exam

Question 1

Is open ended and explanatory, specially at the beginning.

Answer 1

Inductive model

Question 2

A model that treats objects as discrete, such as the particles in a molecular model. A clock is an example of discrete model because the clock skips to the next event start time as the simulation proceeds.

Answer 2

DISCRETE MODEL

Question 3

Emerged as a powerful, indispensable tool for studying a variety of problems in scientific research, product and process development and manufacturing.

Answer 3

Importance of Mathematical Modelling

Question 4

Some areas where mathematical models are highly used are : Climate modeling, Aerospace Science, Space Technology, Manufacturing and Design, Seismology, Environment, Economics, Material Research, Water Resource, Drug Design, Populations Dynamics, Combat and War related problems, Medicine, Biology etc.

Answer 4

Uses of Mathematical Modelling

Question 5

Is a system where all necessary information is available.

Answer 5

WHITE BOX MODEL

Question 6

Types of Empirical Models

Answer 6

1. Experiments
2. Observations

Question 7

A model that represents the objects in a continuous manner, such as the velocity field of fluid in pipe or channels, temperatures and electric field.

Answer 7

CONTINUOUS MODEL

Question 8

It is basically a conceptual model that display visually of the important components of an ecosystem and linkages between them. It is a simplification of a complex system. The humans are good at common sense with qualitative reasoning.

Answer 8

QUALITATIVE MODEL

Question 9

Models are mathematically focused and many times are based on complex formulas. In addition quantitative models generally through an input-output matrix. A model and simulation give precise numerical answers.

Answer 9

QUANTITATIVE MODEL

Question 10

Representation of real-world problem in mathematical form with some simplified assumptions which helps to understand in fundamental and quantitative way.

Answer 10

Mathematical Modelling

Question 11

Is a logical structure based on theory. A single conditional statement is made and a hypothesis (P) is stated. The conclusion (Q) is then deduced from the statement and hypothesis. (What this model represents ?)

Answer 11

DEDUCTIVE MODEL

Question 12

Is a “Top-down” approach (Quantitative). It focus on existing theory and usually begins with hypothesis.

Answer 12

INDUCTIVE MODEL

Question 13

It is used to complement theory and experiments and often to integrate them.

Answer 13

Mathematical Modelling

Question 14

Is one in which every set of variable states is uniquely determined by parameters in the model and by sets of previous states of these variables. Model that describe behavior on the basis of some physical law.

Answer 14

DETERMINISTIC MODEL

Question 15

All the operators in a mathematical model exhibit linearity, the resulting mathematical model. The model uses parameters that are constant and do not vary throughout a simulation.

Answer 15

LINEAR MODEL

Question 16

Flow chart of Inductive Model

Answer 16

see ppt

Question 17

Improves the quality of work and reduced changes, errors and rework

Answer 17

Importance of Mathematical Modelling

Question 18

A model accounts for time-dependent changes in the state of the system. Are typically represented by differential equations.

Answer 18

DYNAMIC MODEL

Question 19

To perform experiments and to solve real world problems which may be risky and expensive or time consuming.

Answer 19

Importance of Mathematical Modelling

Question 20

Has a widespread applications in all branches of Science and Engineering & Technology, Medicine and several other interdisciplinary areas.

Answer 20

Mathematical Modelling

Question 21

Solves real-world problems and has become widespread due to increasing computation power and computing methods.

Answer 21

Uses of Mathematical Modelling

Question 22

Two type of real world problems’ models

Answer 22

BLACK BOX MODEL
WHITE BOX MODEL

Question 23

Calculate the state of a system at a time using the past time from the state of the system at the current time.

Answer 23

EXPLICIT MODEL

Question 24

Solution is obtained by solving an equation involving both the current state of the system and the later one which require extra computation and could be harder to solve.

Answer 24

IMPLICIT MODEL

Question 25

A model calculates the system in equilibrium, and thus is time-invariant. A model cannot be changed, and one cannot enter edit mode when static model is open for detail view.

Answer 25

STATIC MODEL

Question 26

Types of Theoretical Models

Answer 26

1. statistical
2. mathematical
3. computational

Question 27

Is a system of which there is no prior information available.

Answer 27

BLACK BOX MODEL

Question 28

A model that is one where exact prediction is not possible and randomness is present, and variable states are not described by unique values, but rather by probability distributions.

Answer 28

PROBABILISTIC (STOCHASTIC) MODEL

Question 29

Facilitated to handle large scale and complicated problems.

Answer 29

Uses of Mathematical Modelling

Question 30

A model introduces dependent parameters that are allowed to vary throughout the course of a simulation run, and its use becomes necessary where interdependencies between parameters cannot be considered.

Answer 30

NONLINEAR MODEL

Question 31

Types of Mathematical Models

Answer 31

STATIC OR DYNAMIC
DISCRETE OR CONTINUOUS
DETERMINISTIC OR PROBABILISTIC
LINEAR OR NONLINEAR
EXPLICIT OR IMPLICIT
QUALITATIVE AND QUANTITATIVE

Question 32

Types of Mathematical Modelling

Answer 32

1. Empirical
2. Theoretical