Could you please get the Engineering Mathematics 1st Year Semester 1 syllabus issued by Savitribai Phule Pune University?

Don’t worry I will get the Engineering Mathematics 1st Year Semester 1 syllabus issued by Savitribai Phule Pune University so that you can check it easily.

Here is the syllabus
Unit 1 (09 Hrs.)
Matrices: Rank, Normal form, System of Linear Equations, Linear Dependence and Independence, Linear and Orthogonal Transformations. Eigen values, Eigen Vectors, Cayley – Hamilton Theorem. Application to problems in Engineering (Translation and Rotation of Matrix).

Unit 2 (09 Hrs.)
Complex Numbers & Applications: Argand’s Diagram, De'Moivre's theorem and its application to find roots of algebraic equations. Hyperbolic Functions, Inverse Hyperbolic Functions, Logarithm of Complex Numbers, Separation into Real and Imaginary parts, Application to problems in Engineering.

Unit 3 (09 Hrs.)
Infinite Series: Infinite Sequences, Infinite Series, Alternating Series, Tests for Convergence, Absolute and Conditional Convergence, Range of Convergence. Differential Calculus: Successive Differentiation, Leibnitz Theorem.

Unit 4 (09 Hrs.)
Expansion of Functions: Taylor's Series and Maclaurin's Series. Differential Calculus: Indeterminate Forms, L' Hospital's Rule, Evaluation of Limits.

Unit 5 (09 Hrs.)
Partial Differentiation and Applications: Partial Derivatives, Euler's Theorem on Homogeneous Functions, Implicit functions, Total Derivatives, Change of Independent Variables.

Unit 6 (09 Hrs.)
Jacobian: Jacobians and their applications. Errors and Approximations. Maxima and Minima: Maxima and Minima of Functions of two variables, Lagrange's method of undetermined multipliers.


For full information please have a look on file

Engineering Mathematics 1st Year Semester 1 syllabus







Address:-
Savitribai Phule Pune University
Ganeshkhind, Pune, Maharashtra 411007

Phone:-
020 2569 6064

Attached Files

Engineering Mathematics 1st Year Semester 1 syllabus.pdf (81.5 KB, 107 views)