| Topic
|
No. of hours
|
Lecture
|
Tutorial/Practical
|
|
Concept of a function, limits, properties, Continuity, and Differentiation.
|
5
|
1
|
1
|
|
Rules of Differentiation. Chain rule, Implicit Differentiation. Differentiation of
parametric functions.
|
5
|
1
|
1
|
|
Transcendental functions and differentiation. Trigonometric and Inverse
Trigonometric Functions. Exponential and Logarithmic Functions. Hyperbolic
and Inverse Hyperbolic functions
|
5
|
1
|
1
|
|
Application of derivatives. Taylor and Maclaurin expansion, polynomial, and
series. Extrema of a function. Asymptote lines. Curve Sketching.
|
10
|
2
|
2
|
|
Higher derivatives and Leibnitz rule. Indeterminate Forms and L 'Hopital's
Rule
|
10
|
2
|
2
|
|
Definitions and properties of determinants and matrices, Algebra of Matrices.
Inverse Matrix.
|
5
|
1
|
1
|
|
Reduced matrix. Rank of a Matrix. Solution of linear systems using inverse
Matrix, and Cramer's Rule
|
10
|
2
|
1
|
|
Gauss - Jordan Method. Homogeneous and non-homogeneous systems. Square
and rectangular systems
|
5
|
1
|
1
|
|
Solution of linear algebraic systems by Iterative Methods. Jacobi method,
Seidel Method
|
5
|
1
|
1
|
|
Solution of linear algebraic systems by Iterative Methods. Jacobi method,
|
5
|
1
|
1
|
|
Eigenvalues and Eigenvectors of a matrix.
|
5
|
1
|
1
|
|
Eigenvalues and Eigenvectors of a matrix.
|
5
|
1
|
1
|
