MA 301: Introduction to Proofs Through Real Analysis (Spring 2010)

office: MATH 602
office phone: (765) 496-2835 
email: jzuniga at math dot purdue dot edu
 

Office Hours : Tuesdays 3:00pm - 5:00pm.

Final's date and time: Thursday May 6th, 10:20am - 12:20pm at WTHR 320. Here is the first page of the final.

Midterms' Dates:

• Midterm 1: Thursday, February 18th. Chapters 1-5. Solutions to the first midterm. Gradelines: A>=46, B>=36, C>=25, D>=15. Average=34.
• Midterm 2: Thursday, April 1st. Chapters 6-9. Solutions to the second midterm. Gradelines: A>=30, B>=20, C>=10, D>=5. Average=17.

Homework:

1. January 19. Chapter 1: 1 (b), 3, 9, 11 (b), 13
2. January 26. Chapter 2: 1 (c), 1 (k), 5, 7, 9 (iii), 16 (g)
3. February 2. Chapter 3: 1, 3 (c), 4(b), 7 (d)
4. February 9. Chapter 4: 2 (b), 5, 11 (b), 14 (b), 39 (b)
5. February 16. Chapter 5: 1 (b), 3 (a), 3 (b), Extra problems
6. March 2. Chapter 6: 1 (b), 1 (g), 1 (k), 2 (prove it only for sup), 14. Solutions
7. March 9. Chapter 7: 3 (b), 3(n), 9 (a), 9 (c), 22, 25. Solutions
8. March 23. Chapter 8: 2 (a), 3 (g), 13, 16 (c), (d), (e). Solutions
9. March 30. Chapter 9: 1 (a), 11 (e), 12, 14, 13 (a), 20, 21 (c). Solutions
10. April 13. Chapter 10: 3 (b) (iii), 6 (b), 9 (e), 16, 22 (f) (Warning: there seems to be a typo and so you will find two problems numbered (f), solve only the FIRST one). Solutions
11. April 20. Chapter 11: 2, 5, 7, 9, 14, 17, 19. (Hints: (2) you can use the definition of derivative. (5) consider left and right limits. (7) try to negate the definition of continuity OR consider sequences of rationals and irrationals and Theorem 3. (14) Consider two cases, one them is the case when f(0)=0 or f(1)=1. 17,19 are both aplications of the I.V.T.) Solutions
12. April 27. Chapter 12: Solve all problems in here . Notes for this chapter can be found here . Solutions to the homework are here.