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Semester I

Introductory Mathematics

AST 111 · 1 (1+0) credit hours

Syllabus

Topic-wise syllabus

Non-gradial. Students take either Introductory Mathematics or Introductory Biology.

Theory

7 topics · 17 lectures

Theory topics
No.TopicLectures
Unit I
1Algebra: Progressions- Arithmetic, Geometric and Harmonic Progressions1
2Matrices: 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 evaluation3
3Mathematical Models: Agricultural systems - Mathematical models - classification of mathematical models; Fitting of Linear, quadratic and exponential models to experimental data3
Unit II
4Differential Calculus: Definition - Differentiation of function using first principle, Derivatives of sum, difference, product and quotient of two functions2
5Methods, Increasing and Decreasing Functions. Application of Differentiation- Growth rate, Average Cost, Marginal Cost, Marginal Revenue. Partial differentiation2
6Homogeneous function, Euler's theorem, Maxima and Minima of the functions of the form y = f (x) and y = f (x1, x2)2
Unit III
7Integral Calculus: Integration - Definite and Indefinite Integrals - Methods - Integration by substitution, Integration by parts. Area under simple well-known curves4

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