BT-102 Mathematics‑I Notes
5 notes for Mathematics‑I, unit by unit.
Notes for BT-102
- Unit 1 · Short notes Calculus Rolle’s theorem · Mean Value theorems · Expansion of functions by Mc. Laurin’s and Taylor’s for one variable · Taylor’s theorem for functions of two variables · Partial Differentiation · Maxima & Minima (two and three variables)
- Unit 2 · Short notes Calculus Definite Integral as a limit of a sum and its application in summation of series · Beta and Gamma functions and their properties · Applications of definite integrals to evaluate surface areas and volumes of revolutions · Multiple Integral · Change the order of integration · Applications of multiple integrals for calculating area and volumes of curves
- Unit 3 · Short notes Sequences and Series Convergence of sequences and series · Tests for convergence · Power series · Taylor's series · Series for exponential, trigonometric and logarithmic functions · Fourier series: half‑range sine and cosine series
- Unit 4 · Short notes Vector Spaces Vector Space · Vector Sub‑Space · Linear Combination of Vectors · Linear Dependence and Linear Independence · Basis of a Vector Space · Linear Transformations
- Unit 5 · Short notes Matrices Rank of a Matrix · Solution of simultaneous linear equations by elementary transformation · Consistency of equations · Eigenvalues and eigenvectors · Diagonalization of matrices · Cayley‑Hamilton theorem and its applications to find inverse
More for BT-102
Other 1st semester AIML subjects
- BT-201 Engineering Physics
- BT-203 Basic Mechanical Engineering
- BT-204 Basic Civil Engineering & Mechanics
- BT-205 Basic Computer Engineering
- BT-206 Language Lab & Seminars