Engineering Mathematics- I 2024 pattern
Validity : 6 Months
Description
Master the Foundations of Engineering Mathematics – Your Path to Success!
🚀 Course Title: Engineering Mathematics I
🔍 Designed For: SPPU, AKTU, BATU – First Year Engineering (2024 Pattern)
⏳ Total Duration: 40 Hours | 5 Comprehensive Units
🔢 Unit I: Single Variable Calculus (08 Hours)
Unleash the power of calculus!
- Explore Rolle’s Theorem and Mean Value Theorems to understand function behaviors.
- Decode complex expressions with Taylor’s and Maclaurin’s Series.
- Conquer limits with Indeterminate Forms and L'Hospital's Rule.
- Dive into Fourier Series — Full & Half Range — and Harmonic Analysis for solving real-world engineering problems.
🏞️ Unit II: Multivariable Calculus – Partial Differentiation (08 Hours)
Step into the world of multiple dimensions!
- Get hands-on with functions of several variables, their limits and continuity.
- Grasp Partial Derivatives and Euler's Theorem for homogeneous functions.
- Master the art of Total Derivatives and the impact of changes in independent variables.
🧮 Unit III: Applications of Partial Differentiation (08 Hours)
Mathematics meets engineering!
- Unlock the power of Jacobians for transformations.
- Minimize Errors and Approximations with precision.
- Find Maxima and Minima of two-variable functions — essential for engineering optimization.
- Solve real-world problems with Lagrange's Method of Undetermined Multipliers.
📊 Unit IV: Linear Algebra – Matrices & System of Equations (08 Hours)
Matrix your way to engineering solutions!
- Understand the Rank of a Matrix and tackle complex System of Linear Equations.
- Distinguish between Linear Dependence and Independence.
- Apply Linear and Orthogonal Transformations to solve engineering challenges.
🔑 Unit V: Eigenvalues, Eigenvectors & Diagonalization (08 Hours)
Discover the hidden power of matrices!
- Decode matrices with Eigenvalues and Eigenvectors — the backbone of engineering solutions.
- Apply the Cayley-Hamilton Theorem to simplify matrix operations.
- Master Diagonalization and reduce Quadratic Forms to Canonical Form with transformations.
✨ Why Enroll in This Course?
✅ Strong foundation for advanced engineering concepts.
✅ Real-world applications tailored for SPPU, AKTU & BATU curricula.
✅ Expert guidance with step-by-step problem-solving.
🚀 Join Now! Transform the way you approach Engineering Mathematics! 🔑
