Additional Mathematics -I (1BMATDIP310)

Additional Mathematics -I (Common to all Branches)

Course Code: 1BMATDIP310 
CIE Marks 50
Course Type (Theory/Practical/Integrated): NCMC 
MCQ online exam Marks 50
Total Marks 100
Teaching Hours/Week (L:T:P: S) 3:0:0:0 
Total Hours of Pedagogy 42 hours Theory 
Credits 00 (PP)

Module-1: Polar Curves and Curvature (8 hours)

Polar coordinates, Polar curves, angle between the radius vector and the tangent, angle between two curves. Pedal equations. Indeterminate forms: L’Hospital’s rule 

Module-2: Partial Differentiation (9 hours)

Introduction: Partial derivatives, total derivative - differentiation of composite functions, Jacobian and problems.

Taylor’s and Maclaurin’s series expansion for one variable (Statement only) – problems

Module-3: Integral Calculus (9 hours)

Module-4: Vector Calculus (8 hours)

Differentiation of vector functions: Velocity and acceleration of a particle moving on a space curve. Scalar and vector point functions. Gradient, Divergence and Curl, Solenoidal and irrotational vector fields-Problems.

Module-5: Linear Algebra (8 hours)

Introduction to linear algebra:

Elementary row transformation of a matrix, Rank of a matrix. Consistency and Solution of system of linear equations - Gauss-elimination method, Gauss Siedel method. Eigenvalues and Eigenvectors (2×2).

Suggested Learning

Resources Textbooks:

1. B.S. Grewal, Higher Engineering Mathematics, Khanna Publishers, 44th Ed., 2021

2. Gilbert Strang, Linear Algebra and its Applications, Cengage Publications, 4th Ed., 2022.

3. Erwin Kreyszig . Advanced Engineering Mathematics, wiley

Reference Books:

1. H K Das and Rajaneesh Varma, Higher Engineering Mathematics, S. Chand.

2. B. V. Ramana, Higher Engineering Mathematics, McGraw Hill.

3. Mangey Ram, Mathematics in Engineering Sciences, CRC Press

4. N. P. Bali, Manish Goyal - A Textbook of Engineering Mathematics, Laxmi Publications

5. David Poole, Linear Algebra, Cengage Learning India Pvt Ltd.