First Year (FE)
Topics
- Applied Chemistry
- Applied Mathematics-I
- Applied Physics
- Basic Electrical & Electronics Engineering
- Engineering Materials
- Environmental Chemistry and Non-conventional energy sources
- Indian Knowledge System
- Induction cum Universal Human Values
- Introduction to Computational Chemistry
- Physics for Emerging Fields
- Physics of Measurements and Sensors
- Professional Communication and Ethics
- Semiconductor Physics
Practice tests
See all →- Mumbai University FE Sem 1 Basic Electrical & Electronics Engineering (ESC102) Question Paper June 2025 (KT)
- Mumbai University FE Sem 1 Basic Electrical & Electronics Engineering (ESC102) Question Paper December 2025
- Mumbai University FE Sem 1 Basic Electrical & Electronics Engineering (ESC102) Question Paper December 2024
- Mumbai University FE Sem 1 Applied Chemistry (BSC103) Question Paper June 2025 (KT)
Notes
See all →- Semiconductor Physics Notes FE Sem 1 Applied Physics | MU MU FE Sem 1 Applied Physics Module 6: direct and indirect band gap, drift velocity, mobility, conductivity, Fermi-Dirac function, Fermi leve...
- Fundamentals of Communication Notes FE Sem 1 PCE | MU Fundamentals of Communication notes for MU FE Sem 1 PCE: definition, process, verbal and non-verbal methods, barriers and organisational com...
- Listening Skills Notes FE Sem 1 PCE | Mumbai University Developing Basic Listening Skills notes for MU FE Sem 1 PCE: active listening, listening for details, gist and inference, and language lab p...
- Speaking Skills Notes FE Sem 1 PCE | Mumbai University Developing Basic Speaking Skills notes for MU FE Sem 1 PCE: monologues, dialogues, role plays, pronunciation, word stress, rhythm and intona...
- Reading Skills Notes FE Sem 1 PCE | Mumbai University Developing Basic Reading Skills notes for MU FE Sem 1 PCE: verbal aptitude, common grammar errors, skimming, scanning, SQ5R and graphic orga...
- Writing Skills Notes FE Sem 1 PCE | Mumbai University Developing Basic Writing Skills notes for MU FE Sem 1 PCE: coherence, cohesion, 7 Cs, formal letters, e-mails, user instructions and social...
Top questions
See all →- What is a Jacobian of two or three variables and how do I calculate it? In one line The Jacobian J=∂(u,v)/∂(x,y) is the determinant of all first partial derivatives of u,v with respect to x,y ; it measures how a... 1
- What is Lagrange's method of undetermined multipliers for finding maxima and minima with a constraint? In one line To optimise f(x,y,z) subject to φ(x,y,z)=0 , form F=f+λφ and solve F_x=F_y=F_z=0 together with φ=0 . Explained simply Suppose yo... 1
- What are symmetric and skew-symmetric matrices, and how is any square matrix written as their sum? In one line A square matrix is symmetric if A^T=A and skew-symmetric if A^T=-A ; every square matrix equals 1/2(A+A^T)+1/2(A-A^T) , a symmet... 1
- How do I find the inverse of a 3×3 matrix using the adjoint method? In one line If |A|≠0 , then A⁻¹=1/|A| adj A , where adj A is the transpose of the matrix of cofactors. Explained simply The inverse of a num... 1
- What are Hermitian and skew-Hermitian matrices and what properties do they have? In one line A complex square matrix is Hermitian if it equals its conjugate transpose ( A^θ=A ) and skew-Hermitian if A^θ=-A ; they are the... 1
- What are orthogonal and unitary matrices and how do I check whether a matrix is one? In one line A real matrix is orthogonal if AA^T=I (so A⁻¹=A^T ); a complex matrix is unitary if AA^θ=I (so A⁻¹=A^θ ). Explained simply Rotat... 1