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Engineering
GATE
School
Pharmacy
Competitive Exams
Intermediate
General
REMEDIAL MATHEMATICS (Theory)
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Unit I
31
Partial Fraction -- Introduction
Partial Fraction -- Introduction
Polynomial
Polynomial
Rational Fractions
Rational Fractions
Proper and Improper Fractions
Proper and Improper Fractions
Partial Fraction
Partial Fraction
Resolving into Partial Fraction
Resolving into Partial Fraction
Application of Partial Fraction in Chemical Kinetics and Pharmacokinetics
Application of Partial Fraction in Chemical Kinetics and Pharmacokinetics
Logarithms -- Introduction
Logarithms -- Introduction
Definition, Theorems/Properties of Logarithms
Definition, Theorems/Properties of Logarithms
Common Logarithms
Common Logarithms
Characteristic and Mantissa, worked examples
Characteristic and Mantissa, worked examples
application of logarithm to solve pharmaceutical problems
application of logarithm to solve pharmaceutical problems
Function: Real Valued function, Classification of real valued functions
Function: Real Valued function, Classification of real valued functions
Limits and continuity : Introduction
Limits and continuity : Introduction
Limit of a function, Definition of limit of a function
Limit of a function, Definition of limit of a function
Product of Determinants
UNit II
34
Matrices and Determinant: Introduction Matrices
Matrices and Determinant: Introduction Matrices
Types of Matrices
Types of Matrices
Operation on Matrices
Operation on Matrices
Transpose of a Matrix
Transpose of a Matrix
Matrix Multiplication
Matrix Multiplication
Determinants
Determinants
Properties of Determinants
Properties of Determinants
Product of Determinants
Product of Determinants
Minors and co-Factors
Minors and co-Factors
Adjoint or Adjugate of a Square Matrix
Adjoint or Adjugate of a Square Matrix
Singular and non-singular Matrices
Singular and non-singular Matrices
Inverse of a Matrix
Inverse of a Matrix
Solution of System of Linear of Equations using Matrix Method
Solution of System of Linear of Equations using Matrix Method
Cramer’s rule
Cramer’s rule
Characteristic equation and roots of a square matrix
Characteristic equation and roots of a square matrix
Cayley–Hamilton theorem
Cayley–Hamilton theorem
Applicationof Matrices in solving Pharmacokinetic equations
Application of Matrices in solving Pharmacokinetic equations
Unit III
2
Calculus Differentiation
Calculus Differentiation
Unit IV
6
Analytical Geometry Introduction
Analytical Geometry Introduction
Straight Line
Straight Line
Integration
Integration
Unit V
2
Differential Equations
Laplace Transform
Characteristic and Mantissa, worked examples
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