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Course Detail

Course Name Introductory Mathematics
Course Code 26MAT107
Program BSc. (Hons.) Agriculture
Semester 1
Credits 1
Campus Coimbatore

Syllabus

Syllabus

Theory

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 – Differentiation of function using first principle, 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).

Integral Calculus: Integration -Definite and Indefinite Integrals-Methods- Integration by substitution, Integration by parts. Area under simple well-known curves.

Mathematical Models: Agricultural systems-Mathematical models-classification of mathematical models-Fitting of Linear, quadratic and exponential models to experimental data.

Objectives and Outcomes

Objectives

  1. To provide students with a fundamental understanding of algebra, matrices, differential and integral calculus, and mathematical modelling relevant to agricultural sciences.

  2. To enable students to apply mathematical concepts and techniques for solving agricultural problems, analysing experimental data and developing suitable mathematical models.

Course Outcome:

Any student who has undergone the course shall be able to:

Sl.No

Course outcome

CO

Blooms level

1

Explain the concepts of arithmetic, geometric and harmonic progressions, and perform matrix operations including addition, subtraction, multiplication, transpose, inverse and evaluation of determinants.

CO1

Understand

2

Apply the principles of differential and partial differentiation to analyze functions, solve optimization problems, and evaluate growth rate, average cost, marginal cost, and marginal revenue in agricultural applications

CO 2

Apply

3

Apply techniques of definite and indefinite integration, including substitution and integration by parts, to solve mathematical problems and determine the area under simple curves

CO3

Apply

4

Develop and interpret linear, quadratic and exponential mathematical models by fitting them to agricultural experimental data for problem-solving and decision-making.

CO4

Create

 

Text Books / References

Suggested Readings

  1. Introductory Agricultural Mathematics , Y.B. Singh, Neeraj Singh, Kalyani Publishers, 2025.
  2. Higher Engineering Mathematics, B. S. Grewal, 1965, 45th edition, Khanna Publishers
  3. Advanced Engineering Mathematics, Erwin Kreyszig, 2020, 10th Edition, Wiley Plus
  4. Differential Calculus, P K Mittal & Shanti Narayan, 1942, S. Chand, New Delhi
  5. A textbook of Matrices, P K Mittal & Shanti Narayan, 1953, S. Chand, New Delhi
  6. An Introduction to Mathematical Modeling, Edward A. Bender, 1978, John Wiley & Sons
  7. Integral Calculus, Shanti Narayan & P K Mittal, S. Chand & Company Ltd., New Delhi
  8. Mathematical Modeling in Agriculture, John H M Thornley and John France, Wiley Plus.

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