Linear Algebra and Calculus
Matrices, rank, systems of linear equations, eigenvalues, differential and integral calculus.
Available materials
3 notes and 3 documents currently available.
Unit 1: 2 notes · Unit 2: 1 notes
StudyDump notes are student-curated. Document source labels identify official or faculty materials where supplied. Update and added dates describe the listing, not a faculty review.
Unit 1: Partial Differentiation & Applications
- LAC Unit 1: Partial Differentiation & Multivariable Calculus — Student-curated StudyDump note · Updated 2026-09-16 · Comprehensive Unit 1 study notes on multivariable differential calculus covering 10+2 foundations, partial derivatives, Euler's theorem (first & second order, composite), total differentiation, multivariable chain rule, implicit functions, Jacobians and coordinate transformations, two-variable Taylor & Maclaurin series, step-by-step mathematical proofs, worked examination problems, and a 15-question practice bank.
- LAC CAT-1: Partial Derivatives Question Bank — Student-curated StudyDump note · Updated 2026-10-02 · 163 official examination multiple-choice questions with step-by-step mathematical working and derivations for LAC CAT-1 covering Partial Derivatives, Euler's Theorem, Tangent Planes & Normal Lines, Multivariable Chain Rule, Implicit Differentiation, Errors & Approximations, Jacobians, Taylor/Maclaurin Series, Differential Identities, Maxima/Minima, and Lagrange Multipliers.
Unit 2: Maxima, Minima, Matrix Rank, Linear Systems & Eigenvalues
- LAC CAT-2: Maxima, Minima, Rank & Eigenvalues Question Bank — Student-curated StudyDump note · Updated 2026-10-14 · Comprehensive 162-question CAT-2 examination question bank organized topic-wise with step-by-step mathematical working across Extrema & Lagrange Multipliers, Matrix Rank & Normal Form, Linear Systems Consistency, and Eigenvalues & Cayley-Hamilton Theorem.
Course documents and resources
- Linear Algebra and Calculus CHO (25APS0101) (Official · PDF · Added 2026-09-15)
- LAC CAT-1: Partial Derivatives Question Bank (PDF) (Official · PDF · Added 2026-09-16)
- Higher Engineering Mathematics — B. V. Ramana (Reference Book · PDF · Author & Rights: B. V. Ramana · McGraw-Hill Education · Added 2026-10-02)