Exercises - Mathematics for Data Science

Exercises for Winter Semester 2026/2027.

  • The numbers refer to the chapter-end exercises in Humpherys/Jarvis/Evans Volume 1.
  • Starred questions are candidates for the weekly short test
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Solve before Thursday, November 12

  1. Exercise 3.16
  2. *Exercise 3.17
  3. Exercise 3.26
  4. *Exercise 3.29
  5. *Exercise 3.37 (You may take the inner product over the interval [-1,1]. In that case, you can directly refer to Example 3.3.3 for a suitable orthonormal basis. If you work on [0,1] as stated in the exercise, you need to compute an orthonormal basis first, or find it in the literature.)
  6. Exercise 3.40
  7. Exercise 3.44
  8. *Exercise 3.46
  9. *Exercise 3.47
  10. Prove equation (3.2.7) in Theorem 3.5.20

Solve before Thursday, November 5

  1. *Exercise 2.50
  2. Exercise 2.51
  3. *Exercise 2.52
  4. *Exercise 3.1
  5. Exercise 3.2
  6. *Exercise 3.5
  7. *Exercise 3.8
  8. Exercise 3.10
  9. Exercise 3.11
  10. Exercise 3.15

Solve before Thursday, October 29

  1. *Exercise 2.13
  2. Exercise 2.14
  3. *Exercise 2.19
  4. Exercise 2.20
  5. *Exercise 2.21
  6. *Exercise 2.23
  7. Exercise 2.25
  8. Exercise 2.30
  9. Exercise 2.38
  10. Exercise 2.40

Solve before Thursday, October 22

  1. *Exercise 1.9
  2. Exercise 1.11
  3. *Exercise 1.12
  4. Exercise 1.14
  5. *Exercise 1.23
  6. *Exercise 2.1
  7. Exercise 2.2
  8. Exercise 2.3

Solve before Thursday, October 15

  1. Exercise 1.1
  2. *Exercise 1.3
  3. *Exercise 1.4
  4. *Exercise 1.5
  5. Exercise 1.6
  6. Exercise 1.7 and 1.8
  7. Excercise 1.15 and 1.16
  8. Work through the proof of Theorem 1.3.7. Can you explain the overall logic, can you explain the details of each step?