Engineering Mathematics is an important section in the GATE CE exam. It holds a significant weightage and contributes to a substantial portion of the total marks. Here is a detailed breakdown of the weightage for the Engineering Mathematics section in the GATE CE exam:

Weightage:
- The Engineering Mathematics section carries approximately 15% weightage in the GATE CE exam.
- It is one of the core subjects and is crucial for scoring well in the exam.

Topics Covered:
The Engineering Mathematics section in the GATE CE exam covers various topics. Some of the key topics include:

1. Linear Algebra:
- Vector spaces, basis, linear dependence and independence, matrices, rank, eigenvalues, eigenvectors, Cayley-Hamilton theorem, diagonalization, matrix transformations.

2. Calculus:
- Functions of single and multiple variables, continuity, limits, differentiation, maxima and minima, mean value theorem, Taylor series, evaluation of definite and improper integrals, partial derivatives, gradient, divergence, curl, vector identities, line, surface and volume integrals, Stokes, Green, and Gauss theorems.

3. Differential Equations:
- First-order ordinary differential equations, linear and nonlinear higher-order ordinary differential equations, initial and boundary value problems, Laplace transforms, solutions of partial differential equations, variable separable method, Fourier series.

4. Probability and Statistics:
- Probability theory, random variables, probability distributions, mean, median, mode, standard deviation, correlation, regression, analysis of variance, hypothesis testing.

5. Numerical Methods:
- Solutions of linear and nonlinear algebraic equations, interpolation, numerical integration, numerical differentiation, numerical solutions of ordinary differential equations, numerical solutions of partial differential equations.

Preparation Tips:
- Understand the syllabus thoroughly and make a study plan.
- Refer to standard textbooks for each topic and make concise notes.
- Practice solving previous year question papers and sample papers to get familiar with the exam pattern and question types.
- Focus on understanding the concepts and principles rather than rote learning.
- Join online forums or study groups to discuss doubts and exchange knowledge.
- Take mock tests regularly to assess your preparation level and identify areas for improvement.
- Time management is crucial, so practice solving questions within the given time frame.

In conclusion, the Engineering Mathematics section holds a significant weightage in the GATE CE exam. It covers various topics from linear algebra, calculus, differential equations, probability and statistics, and numerical methods. By dedicating sufficient time and effort to this section, understanding the concepts, and practicing ample questions, candidates can increase their chances of scoring well in the exam.