MATHEMATICS AND BIOSTATISTICS complete syllabus

  

PHARMACY PRACTICE-I (PHARM. MATHEMATICS AND BIOSTATISTICS) (Theory)

Paper 6                                                                                                                                                                                                                                                                                                           Marks 100

 

        PART A: (PHARMACEUTICAL MATHEMATICS)                                                                                                                                                                 (40 MARKS)

1.       ALGEBRA:

(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: Measurement of Angles in Radian and Degrees. Definitions of circular functions. Derivation of circular function for simple cases.

 

3.       ANALYTICAL GEOMETRY: Coordinates of point in a plane. Distance between two points in a plane. Locus, Equations of straight line, Equation of Parabola, Circle and Ellips.

4.       DIFFERENTIAL CALCULUS: Functions, variations in functions, limits,  differential coefficient, differentiation of algebraic, trigonometric, exponential and logarithmic functions, partial derivatives. Maxima and minima values. Points of inflexion.

5.       INTEGRAL CALCULUS: Concept of integration, Rules of integration, Integration of algebraic, exponential, logarithmic and trigonometric functions by using different techniques and numerical integration. 

 

        PART B:  (BIOSTATISTICS)                                                                                                                      (60 MARKS)

 

1. DESCRIPTION OF STATISTICS: Descriptive Statistics: What is Statistics? Importance of Statistics. What is Biostatistics? Application of Statistics in Biological and Pharmaceutical Sciences. How samples are selected?

 

2   ORGANIZING and DISPLAYING DATA: Vriables, Quantitative and  Qualitative Variables, Univariate Data, Bivariate Data, Random Variables, Frequency Table, Diagrams, Pictograms, Simple Bar Charts, Multiple Bar Charts, Histograms.

 

3.       SUMMARIZING DATA and VARIATION: The Mean, The Median, The Mode, The

Mean Deviation, The Variance and Standard Deviation, Coefficient of Variation.

 

4.       CURVE FITTING: Fitting a Straight Line. Fitting of Parabolic or High Degree Curve.

 

5.       PROBABILITY: Definitions, Probability Rules, Probability Distributions (Binomial & Normal Distributions).

 

6.       SIMPLE         REGRESSION          AND             CORRELATION:     Introduction.   Simple             Linear

Regression Model. Correlation co-efficient.

 

7.       TEST OF HYPOTHESIS AND SIGNIFICANCE: Statistical Hypothesis. Level of Significance. Test of Significance. Confidence Intervals, Test involving Binomial and Normal Distributions.

 

8.       STUDENT “t”, “F” and Chi-Square Distributions: Test of Significance    based   on

―t‖, ―F‖ and Chi-Square distributions.

 

9.       ANALYSIS OF VARIANCE: One-way Classification, Two-way         Classification, Partitioning of Sum of Squares and Degrees of Freedom,  Multiple   Compression Tests such as LSD, The analysis of Variance Models.

 

STATISTICAL PACKAGE: An understanding of data analysis by using different statistical tests using various statistical software’s like SPSS, Minitab, Statistica etc.