PHARMACEUTICAL MATHEMATICS AND BIOSTATISTICS
Part A Pharmaceutical
Mathematics
1.
ALGEBRA:
i.
Sets and Functions
ii.
Elementary concepts of sets
iii.
Concept of Functions
iv.
Domain and Range of a Function
v.
Different types of Functions
vi.
Graphical representation of a function.
vii.
Some applications of functions.
A. Solution
of Linear and Quadratic Equations. Equations reducible to Quadratic Form. Solution
of simultaneous Equations
B. Arithmetic,
Geometric and Harmonic Progressions. Arithmetic, Geometric and Harmonic Means.
C. Permutations
and Combinations
D. Binomial
Theorem: Simple application.
2.
TRIGONOMETRY:
a. Measurement
of Angles in Radian and degrees.
b. Definitions
of circular functions.
c. Derivation
of circular function for simple cases.
3.
ANALYTICAL
GEOMETRY:
a. Coordinates
of point in a plane.
b. Distance
between two points in a plane.
c. Locus,
Equations of straight line,
d. Equation
of Parabola,
e. Circle
and Ellips.
4.
DIFFERENTIAL
CALCULUS:
a. Concept
of Derivations.
b. Rules
of Differentiation.
c. Examples
on the evaluation of Derivations.
d. Derivatives
of Exponential and Logarithmic Functions, Partial Derivations.
e. Higher
Order Derivatives.
f. Maxima
& Minima points of Inflections.
5.
INTEGRAL
CALCULUS:
a. Concept
of Integration.
b. Rules
of Integrations.
c. Integrations
of Algebric and Trignomatric functions by using different techniques
Part B BIOSTATISTICS
1.
DESCRIPTION
OF STATISTICS:
a. Descriptive
Statistics: What is Statistics?
b. Importance
of Statistics.
c. What
is Biostatistics?
d. Application
of Statistics in Biological and Pharmaceutical Sciences.
e. How
samples are selected?
2.
ORGANIZING
and DISPLAYING DATA:
a. Variables,
b. Quantitative
and Qualitative Variables
c. Univariate
Data,
d. Bivariate
Data,
e. Random
Variables,
f. Frequency
Table,
g. Diagrams,
h. Pictograms,
i. Simple
Bar Charts,
j. Multiple
Bar Charts,
k. Histograms.
3.
SUNNARIZING
DATA and VARIATION:
a. The
Mean,
b. The
Median,
c. The
Mode,
d. The
Mean Deviation,
e. The
Variance and Standard Deviation,
f. Coefficient
of Variation.
4.
CURVE
FITTING:
a. Fitting
a Straight Line.
b. Fitting
of Parabolic or High Degree Curve.
5.
PROBABILITY:
a. Definitions,
b. Probability
Rules,
c. Probability
Distributions (Binomial & Normal Distributions).
6.
SIMPLE
REGRESSION AND CORRELATION:
a. Introduction.
b. Simple
Linear Regression Model.
c. Correlation
co-efficient.
7.
TEST
OF HYPOTHESIS AND SIGNIFICANCE:
a. Statistical
Hypothesis.
b. Level
of Significance.
c. Test
of Significance.
d. Confidence
Intervals
e. Test
involving Binomial and Normal Distributions.
8.
ANALYSIS
OF VARIANCE:
a. One-way
Classification,
b. Two-way
Classification,
c. Partitioning
of Sum of Squares and Degrees of Freedom,
d. Multiple
Compression Tests such as LSD,
e. The
analysis of Variance Models.
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