Mathematics Crossword Puzzle

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