Fix typos and grammar issues in lecture documentation

[ChrisRackauckas-Claude]

Summary

Fixed multiple typos and grammar issues across four lecture files:

lecture1.md

• "technologeies" → "technologies"
• "algrebraic" → "algebraic"
• "it's differential operator" → "its differential operator" (possessive vs contraction)
• "assembly a problem" → "assemble a problem"
• "define it's parameters" → "define its parameters" (possessive vs contraction)
• "vise versa" → "vice versa"
• "will part of" → "will be part of"

lecture2.md

• "thru" → "through" (2 occurrences)
• "referd to" → "referred to"

lecture3.md

• "intractible" → "intractable"
• "tabeleau" → "tableau"
• "misstated the" → "misstated that the"

lecture4.md

• "precess" → "process"
• "purturbation" → "perturbation"
• "phonomena" → "phenomena" (4 occurrences)
• "It's show how" → "It's shown how"

Test plan

• Changes are documentation-only (typo fixes)
• No code functionality affected
• Verified all changes are correct via git diff

cc @ChrisRackauckas

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