“Applied Mathematics” provides agricultural science students with quantitative mathematical tools and analytical modeling skills. The syllabus covers coordinate geometry (two-dimensional and three-dimensional analytical geometry, circles, straight lines, and conic sections), matrices and determinants (matrix operations, rank, inverse matrix, and solving systems of linear equations via Cramer’s rule), differential calculus (limits, chain rule differentiation, maxima and minima), integral calculus (definite and indefinite integrals), differential equations, and mathematical optimization of single and multiple input production functions in agriculture.
Topics Covered
- Coordinate Systems and Three-Dimensional Analytical Geometry
- Straight Lines and Circles in Two-Dimensional Geometry
- Conic Sections – Parabola, Ellipse, and Hyperbola Equations and Geometry
- Binomial Theorem, Permutations, and Combinations
- Progressions – Arithmetic, Geometric, and Harmonic Progressions
- Matrices and Determinants – Matrix Types, Transpose, and Determinant Evaluation
- Inverse of a Matrix and Solution of Simultaneous Equations using Cramer’s Rule
- Vector Algebra – Vector Operations, Dot Product, and Cross Product
- Differential Calculus – Limits, Continuity, and Standard Derivatives
- Chain Rule Differentiation and Successive Differentiation
- Partial Differentiation and Applications in Multivariable Systems
- Maxima and Minima of Functions of Single and Two Variables
- Integral Calculus – Indefinite and Definite Integrals of Algebraic and Trigonometric Functions
- Integration by Parts and Method of Partial Fractions
- Differential Equations – First Order and First Degree Differential Equations
- Second Order Linear Differential Equations with Constant Coefficients
- Mathematical Modeling of Population Dynamics and Growth Curves
- Physical and Economic Optimum Determination for Single-Input Agricultural Functions
- Demand and Supply Functions – Market Equilibrium Modeling and Elasticity
File Details
| Title | Applied Mathematics |
| File Name | STAM103 – Applied Mathematics.pdf |
| File Type | PDF Document (.pdf) |
| File Size | 0.85 MB |
| Total Pages | 139 Pages |