Maths Crossword Puzzle

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Across
  1. 2. Dimension of column space of a matrix
  2. 4. Determinant of partial derivatives in coordinate transformation.
  3. 8. Direction of steepest increase of a scalar field
  4. 9. Integral transform used to solve differential equations.
  5. 11. Series expansion of a function about a point.
  6. 12. The study of continuous change, focusing on derivatives and integrals.
Down
  1. 1. Vectors whose dot product equals zero.
  2. 3. Graph of a quadratic function.
  3. 5. Scalar associated with a matrix transformation
  4. 6. Value where a function approaches but may not reach.
  5. 7. Measure of outward flux density of a vector field
  6. 10. Vector operator representing rotation of a vector field.