MATH-111 Elementary Mathematics

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Objectives

Algebra: Progressions- Arithmetic, Geometric and Harmonic Progressions. Matrices:
Definition of Matrices, Addition, Subtraction, Multiplication, Transpose and Inverse up to 3rd
order by adjoint method, Properties of determinants up to 3rd order and their evaluation.
Differential Calculus: Definition, Derivatives of sum, difference, product and quotient of two
functions, Methods, Increasing and Decreasing Functions. Application of Differentiation-
Growth rate, Average Cost, and Marginal cost, Marginal Cost, Marginal Revenue. Partial
differentiation: Homogeneous function, Euler’s theorem, Maxima and Minima of the functions
of the form y = f (x) and y = f (x1, x2).

Lecture Schedule: Theory

1. Progressions- Arithmetic, Geometric and Harmonic Progressions 2
2. Matrices: Definition of Matrices, Addition, Subtraction 1
3. Matrices: Multiplication, Transpose and Inverse up to 3rd order by adjoint method 2
4. Properties of determinants up to 3rd order and their evaluation. 1
5. Differential Calculus: Definition, Derivatives of sum, difference, product and quotient of two functions 2
6. Increasing and Decreasing Functions 2
7. Application of Differentiation- Growth rate, Average Cost, and Marginal cost, Marginal Cost, Marginal Revenue 2
8. Partial differentiation: Homogeneous function, Euler’s theorem 2
9. Maxima and Minima of the functions of the form y = f (x) and y = f(x1, x2). 2

References

1. Krishi Ganita by Gokhroo and Jain
2. Differential Calculus by Gokhroo.
3. Integral Calculus by Gokhroo.