# Engineering Mathematics 1 [M1] MCQs – SPPU

Engineering mathematics-1 also known as M1, is subject included for First Year engineering for all the branches no matter whichever branch you has chosen, you will be studying M1 & M2 in the first year in First & Second semester respectively

We will be providing you multiple choice questions for 6 different units which covers the whole syllabus for Engineering Mathematics 1.

So, you can practice questions using these mcqs which will finally help you to score good marks in the presem and end sem examinations.

## Course Contents: Units for M1

### Unit I: Differential Calculus

Rolle’s Theorem, Mean Value Theorems, Taylor’s Series and Maclaurin’s Series, Expansion of functions using standard expansions, Indeterminate Forms, L’ Hospital’s Rule Evaluation of Limits and Applications.

### Unit II: Fourier Series

Definition, Dirichlet’s conditions, Full range Fourier series, Half range Fourier series, Harmonic analysis, Parseval’s identity and Applications to problems in Engineering.

### Unit III: Partial Differentiation

Introduction to functions of several variables, Partial Derivatives, Euler’s Theorem on Homogeneous functions, Partial derivative of Composite Function, Total Derivative, Change of Independent variables

### Unit IV: Applications of Partial Differentiation

Jacobian and its applications, Errors and Approximations, Maxima and Minima of functions of two variables, Lagrange’s method of undetermined multipliers.

### Unit V: Linear Algebra-Matrices, System of Linear Equations

Rank of a Matrix, System of Linear Equations, Linear Dependence and Independence, Linear and Orthogonal Transformations, Application to problems in Engineering.

### Unit VI: Linear Algebra-Eigen Values and Eigen Vectors, Diagonaliztion

Eigen Values and Eigen Vectors, Cayley Hamilton theorem, Diagonaliztion of a matrix, Reduction of Quadratic forms to Canonical form by Linear and Orthogonal transformations.