BCA Semester III - Applied Mathematics
Applied Mathematics
Updated on Jun, 2025
Language - English
Teaching and Academics ,Math,Algebra
Lectures -77
Resources -24
Quizzes -4
Duration -8 hours
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Course Description
This course is for BCA 3rd semester. This is going to teach you:
Unit I- Partial Differentiation
Function of two variable
Continuity of a Function of two variables
Limit of a Function of two variables
Partial Derivatives
Homogeneous Functions
Unit II - Theorem on Total Differentials
Functions composition
Implicit Differentiation
Maximum and Minimum Values
Examples: Maximum and Minimum Values
Absolute Maximum and Minimum Values
Lagrange Multipliers
Examples: Lagrange Multipliers
Lagrange Multipliers with Two Constraints
Unit III - Linear Equations in Linear Algebra
Systems of Linear Equations
Matrix Algebra
Linear Independence
Linearly Dependent sets
Unit IV -Vector spaces and Subspaces
Vector spaces and Subspaces,
Linearly independent sets;
bases Eigenvalues and Eigenvectors
Unit V -Vector spaces and Subspaces
Linear combination of vectors
Transpose of matrix
Determinant and adjoint matrix
Eigenvectors and eigenvalues of a matrix
Diagonalizing Matrices
Prerequisites
No Prior Knowledge is required.
Curriculum
Check out the detailed breakdown of what’s inside the course
Unit I- Partial Differentiation
10 Lectures
-
Partial Derivatives
18:08
18:08
-
Interpretations of Partial Derivatives
04:49
04:49
-
Overview of Homogeneous Functions
03:50
03:50
-
Homogeneous Functions in Detail
03:14
03:14
-
Overview of Homogeneous Differential Equations
02:14
02:14
-
Homogeneous Differential Equations Problem Example 1
06:47
06:47
-
Homogeneous Differential Equations Problem Example 2
06:24
06:24
-
Homogeneous Differential Equations Problem Example 3
02:53
02:53
-
Homogeneous Differential Equations Problem Example 4
05:00
05:00
-
Unit-1 Assessments
Unit II Theorem on Total Differentials
9 Lectures
Unit III Linear Equations in Linear Algebra
30 Lectures
Unit IV Vector spaces and Subspaces
14 Lectures
Unit V Diagonalization
14 Lectures
Instructor Details
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