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The syllabus for the AUCET (Andhra University Common Entrance Test) Mathematics exam may vary slightly from year to year. However, I can provide you with a general overview of the topics commonly included in the AUCET Mathematics syllabus. It is advisable to refer to the official AUCET website or the information brochure for the most accurate and updated syllabus. Here are the main subject areas typically covered:

1. Algebra: Sets, relations, functions, complex numbers, quadratic equations, matrices, determinants, linear equations, mathematical induction, permutations and combination, binomial theorem, etc.

2. Calculus: Limits, continuity, differentiation, applications of derivatives, integration, definitely and indefinite integral, differential equations, sequences and series, etc.

3. Analytical Geometry: Coordinated geometry of two and three dimensions, lies, circles, conic sections, transformation, etc.

4. Linear Algebra: Vector space, linear transformation, matrices, determinants, eigenvalues, eigenvectors, systems of linear equations, etc.

5. Differential Equations: First-order and higher-order differential equations, applications of differential equations, solution techniques, etc.

6. Probability and Statistics: Probability theory, random variables, probability distributions (binomial, Poisson, normal), statistical inference, hypothesis testing, correlation and regression, etc.

7. Real Analysis: Real numbers, sequences and series, limits, continuity, differentiability, Riemann integration, convergence of functions, etc.

8. Complex Analysis: Complex numbers, analytic functions, contour integration, Taylor series, Laurent series, resides, etc.

9. Discrete Mathematics: Combinatorics, graph theory, sets, relations, functions, logic, algorithms, etc.

Please note that the above-mentioned topics provide a general overview of the AUCET Mathematics syllabus. The specific topics and their weightage may vary from year to year. It is recommended to refer to the official AUCET website or the information brochure for the detailed and updated syllabus.

Additional, candidates are advise to thoroughly study their undergraduate mathematics curriculum and textbooks. Practice solving previous years question papers and take mock tests to familiarize yourself with the exam pattern and improve your problem-solving skills.

Good luck with your AUCET Mathematics exam preparation!