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Admission Test AIEEE-Math-2010 Exam Syllabus Topics:

SectionObjectives
Calculus- Limits and Continuity
  • 1. Standard limits
    • 2. Continuity and differentiability basics
      - Differentiation and Integration
      • 1. Derivative rules and applications
        • 2. Indefinite and definite integrals
          Trigonometry- Trigonometric Ratios
          • 1. Inverse trigonometric functions
            • 2. Identities and equations
              Coordinate Geometry- Straight Lines
              • 1. Distance between points and angle between lines
                • 2. Slope and intercept forms
                  - Conic Sections
                  • 1. Circle
                    • 2. Parabola, Ellipse, Hyperbola basics
                      Vectors and 3D Geometry- Vector Algebra
                      • 1. Dot product and cross product
                        - Three Dimensional Geometry
                        • 1. Direction cosines and ratios
                          Algebra- Quadratic Equations
                          • 1. Roots and nature of roots
                            • 2. Relations between roots and coefficients
                              - Complex Numbers
                              • 1. Algebraic operations and properties
                                • 2. Polar form and Argand diagram basics
                                  Probability and Statistics- Probability
                                  • 1. Basic probability rules
                                    • 2. Conditional probability
                                      - Statistics
                                      • 1. Variance and standard deviation basics
                                        • 2. Mean, median, mode

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