Differential Calculus and Linear Algebra: ME Stream 1BMATM101
Module-wise notes, PYQs, and a built-in resource explorer — everything you need to crack 1BMATM101 in one focused page.
Browse ResourcesSyllabus Overview
Module 1: Polar Curves and Curvature
(8 Hours Theory + 4 Hours Tutorial) Polar coordinates, Polar curves, angle between the radius vector and the tangent, angle between two curves. Pedal equations. Curvature and radius of curvature - Cartesian, parametric, polar and pedal forms. Textbook 1: Chapter 4 :4.7-4.11
Module 2: Detailed Syllabus
Series Expansion, Indeterminate Forms and Multivariable Calculus (8Hours Theory) + (4Hours Tutorial) Statement and problems on Taylor’s and Maclaurin’s series expansion for one variable. Indeterminate forms - L’Hospital’s rule. Partial differentiation, total derivative – differentiation of composite functions. Jacobian. Maxima and minima for the function of two variables. Textbook 1: Chapter 4 :4.4,4.5, Chapter 5 :5.1-5.7
Module 3: Detailed Syllabus
Ordinary Differential Equations of First Order (8Hours Theory) + (4Hours Tutorial) 2 Linear and Bernoulli’s differential equation. Exact and reducible to exact differential equations with integrating factor: 𝟏 (𝝏𝑴 − 𝝏𝑵) and 𝟏 (𝝏𝑵 − 𝝏𝑴). Orthogonal trajectories, Law of natural 𝑵 𝝏𝒚 𝝏𝒙 𝑴 𝝏𝒙 𝝏𝒚 growth and decay. Textbook 1: Chapter 11:11.9-,11.12(4), Chapter 12:12.3-12.8, Textbook 2: Chapter 8: 8.17, 8.18
Module 4: Detailed Syllabus
Linear Algebra -1(8Hours Theory) + (4Hours Tutorial) Elementary row transformation of a matrix, Row echelon form and Rank of a matrix. Inverse of matrix by Jordan method. Consistency and Solution of system of linear equations - Gauss- elimination method, LU decomposition method and approximate solution by Gauss-Seidel method. Application to traffic flow. Textbook 1: Chapter 2 :2.7,2.10, Chapter 28 :28.6(1,2,3), 28.7(2) Textbook 3: Chapter 7
Module 5: Detailed Syllabus
Linear Algebra -2 (8Hours Theory) + (4Hours Tutorial) Eigenvalues and Eigenvectors, Rayleigh’s power method to find the dominant Eigenvalue and Eigenvector. Model matrix, Diagonalization of the matrix, inverse of a matrix by Cayley-Hamilton theorem, Characteristic and minimal polynomials of block matrices, Moore-Penrose pseudoinverse. Textbook 3: Chapter 4: 4.0, Chapter 8 :8.1, Chapter 20: 20.8, Textbook 1: Chapter 2:2.16(1),2.15, Chapter 28 :28.7(1) Textbook 2:
Textbooks & Resources
- B.S. Grewal, Higher Engineering Mathematics, Khanna Publishers,44nd Ed., 2021.
- Seymour Lipschutz and Marc Lipson, Linear Algebra, Schaum’s outlines series, 4th Ed., 2008.
- E.Kreyszig, Advanced Engineering Mathematics, JohnWiley & Sons,10th Ed.,2018.
- Gilbert Strang, Linear Algebra and its Applications, Cengage Publications,4thEd.,2025.
Resource Explorer
Browse all 1BMATM101 study materials — notes, PYQs, and revision resources. Navigate folders for module-wise content and preview files before downloading.
Recently Viewed
Need another subject?
Jump to other subjects and complete your study session.
Frequently Asked Questions
What is 1BMATM101 (Differential Calculus and Linear Algebra: ME Stream)?
Differential Calculus and Linear Algebra: ME Stream (1BMATM101) is a VTU course covered through module-wise syllabus, notes, and PYQ-driven exam practice available on this page.
How many credits is 1BMATM101?
Credits for 1BMATM101: 04.
Are notes and previous year question papers available for 1BMATM101?
Yes. You can access organized notes, PDFs, and PYQ material from the file explorer/resources section on this page.
How should I prepare Mathematics-I 1BMATM101 for VTU exams?
Start with module summaries, solve recent PYQs unit-wise, and finish with complete paper practice under time constraints for SEE readiness.
Is this 1BMATM101 page updated for current VTU scheme?
Yes, this page is maintained with current scheme-oriented materials and practical exam-focused resource curation.
Explore More VTU Notes
About Mathematics-I (1BMATM101)
Mathematics-I (1BMATM101) is a critical course in the VTU curriculum, essential for any student looking to master the foundations of engineering. It covers key theoretical frameworks and practical concepts that are widely used in the industry today, ensuring students are well-prepared for both exams and their future careers.
Success Strategy
Highlight definitions, advantages/disadvantages, and use case examples. Clear headings and bullet points are essential for VTU evaluators.