This is a class at NTU by the professor Siao-Hao Guo. The main textbook is Introduction to Calculus and Analysis I, Introduction to Calculus and Analysis II/1, and Introduction to Calculus and Analysis II/2 written by Courant, Richard and John, Fritz.
HW0, complex notation. note
HW1, Review, supplements. note
HW2. note
HW3, approximation to identity. note
HW4, Remark on Differentiability. note
HW5. note
HW6, Quiz2, Example on Inverse Function Theorem. note
Fundamental Theorem of Algebra, Spherical Coordinate. note
HW7, Midterm, Examples on Implicit Function. note
HW8, Higher Dimension Taylor Expansion, Extreme Values of Quadratic Form. note
HW9. note
Quiz3 solution. note
HW10. note
HW11. note
HW12. note
HW13. note
Quiz4 solution. note
Final solution. note