The tentative syllabus is the following chapters/sections from Tom Lyche and Knut M?rken: Spline Methods, Draft, 2018. Electronic version
- Chapter 1, Only Sections 1.1-1.4.
- Chapter 2 Only Sec. 2.1-2.3 and 2.5. Alternative to Sec. 2.5: here (Section 1: Recursions)
- Chapter 3. Alternative to Sec. 3.1: here. Alternative to Sec. 3.2: here
- Chapter 4 Only Sections 4.1 and 4.4. Alternative to Sec. 4.4: here
- Chapter 5
- Chapter 6
- Chapter 7 Only Sec. 7.1 and 7.2. Not the proof Proposition 7.6
- Chapter 8 Only Secs. 8.1 and 8.2.
- Chapter 9 Only Secs. 9.1 and 9.2.
- Schoenberg-Whitney theorem and total positivity of the B-spline collocation matrix: see here