Differential Calculus And Linear Algebra: CV Stream 1BMATC101
Module-wise notes, PYQs, and a built-in resource explorer — everything you need to crack 1BMATC101 in one focused page.
Browse ResourcesSyllabus Overview
Module 1: Polar Curves and Curvature
(8 Hours Theory + 4 Hours Tutorials) 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- 4.7-4.11
Module 2: Detailed Syllabus
Series Expansion, Indeterminate Forms and Multivariable Calculus (8Hours Theory) + (4Hours Tutorials) 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- 4.4-5.11
Module 3: Detailed Syllabus
Ordinary Differential Equations of First Order (8Hours Theory) + (4Hours Tutorials) Linear and Bernoulli’s differential equation. Exact and reducible to exact differential equations with integrating factors - 𝟏 𝑵 ( 𝝏𝑴 𝝏𝒚 − 𝝏𝑵 𝝏𝒙) and 𝟏 𝑴 ( 𝝏𝑵 𝝏𝒙 − 𝝏𝑴 𝝏𝒚 ). Orthogonal trajectories, Law of natural growth and decay. Textbook-1: Chapter- 11.9-11.12
Module 4: Detailed Syllabus
Ordinary Differential Equations of Higher Order (8Hours Theory) + (4Hours Tutorials) Higher-order linear ordinary differential equations with constant coefficients, homogeneous and non-homogeneous equations (eax, sin(ax+b), cos(ax+b), xn only), Method of variation of parameters, Cauchy’s and Legendre’s homogeneous differential equations. Applications: Solving governing differential equations of Mass Spring. Textbook-1: Chapter-13.1-13.8
Module 5: Detailed Syllabus
Linear Algebra (8Hours Theory) + (4Hours Tutorials) Elementary row transformation of a matrix, Rank of a matrix. Consistency and Solution of system of linear equations - Gauss-elimination method and approximate solution by Gauss-Seidel method. Eigenvalues and Eigenvectors, Rayleigh’s power method to find th e dominant Eigenvalue and Eigenvector. Applications: Traffic flow. Textbook-1: Chapter-2.7-2.13, 28.6-28.9
Textbooks & Resources
- B.S. Grewal, Higher Engineering Mathematics, Khanna Publishers, 44th Ed., 2021.
- E. Kreyszig, Advanced Engineering Mathematics, John Wiley & Sons, 10th Ed., 2018.
- Gilbert Strang, Linear Algebra and its Applications, Cengage Publications, 4th Ed., 2025.
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Frequently Asked Questions
What is 1BMATC101 (Differential Calculus And Linear Algebra: CV Stream)?
Differential Calculus And Linear Algebra: CV Stream (1BMATC101) is a VTU course covered through module-wise syllabus, notes, and PYQ-driven exam practice available on this page.
How many credits is 1BMATC101?
Credits for 1BMATC101: 04.
Are notes and previous year question papers available for 1BMATC101?
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 1BMATC101 for VTU exams?
Start with module summaries, solve recent PYQs unit-wise, and finish with complete paper practice under time constraints for SEE readiness.
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About Mathematics-I (1BMATC101)
Mathematics-I (1BMATC101) 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.
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