Elementary Functions and Calculus III (Math 133, Sec 42)

Spring 2005

I am the lecturer for this course. This page contains useful information and handouts from the course. The recommended text for this course is Calculus by Varberg, Purcell and Rigdon. The course will cover chapters 7 to 10. Please see the Course Document via the link below for more basic details.

David Rule

Office Hours

I will hold office hours on Wednesdays 1:30pm to 2:30pm and Thursdays 1:30pm to 2:30pm and by appointment. I will also answer emailed questions. My office number is E16 and other contact details are on this link. Homework is due during the lecture on the Friday after it is assigned. Remember to staple (do not paper-clip or fold) your homework together in the top left-hand corner. Staple everything you are handing in for each week all together and in the order in which it was assigned. Label each answer clearly with the question number and on the front sheet write your name and your tutor's name.

Mid-term Examinations

There will be two mid-term examinations. The first mid-term will be held on the Friday of week three and the second on the Friday of week eight.

Feedback

Should you wish to send an anonymous message to me about my teaching or if you want to make some constructive comments you can use my feedback form. The address that the email appears to be from is that which is contained in the Email field. So if you wish to remain anonymous, do not fill in any identifying information. However, if you would like a reply I need your email address to reply to.

Course Material and Homework

I will make available here material given out in lectures and any other useful material I have.

• Course Document [pdf] [ps] [dvi]
  
  
• Handouts
  • Practise for Mid-term 1 [pdf] [ps] [dvi]
  • Last year's Mid-term 1 [pdf] [ps] [dvi]
  • Solutions for last year's Mid-term 1 [pdf] [ps] [dvi]
  • Practise for Mid-term 2 [pdf] [ps] [dvi]
  • Last year's Mid-term 2 [pdf] [ps] [dvi]
  • Solutions for last year's Mid-term 2 (jpeg) [page 1] [page 2] [page 3] [page 4]
  • Practise for the final [pdf] [ps] [dvi]
  
  
• Homework Questions
  • Problem Set 1 (due 1st April)
    (i) Questions 2, 4, 13, 15, 17, 26 and 27 on page 346.
  • Problem Set 2 (due 8th April)
    (i) Questions 2, 4, 6, 8, 18 and 22 on page 350.
    (ii) Questions 2, 4, 6, 8, 10, 20, 24 and 30 on pages 356-7.
    (iii) Questions 4, 6, 8, 12, 14, 18, 20, 22, and 24 on pages 375-6.
  • Problem Set 3 (due 15th April)
    (i) Questions 2, 4, 8, 10 and 12 on page 380.
    (ii) Questions 2, 4, 6, 8, 10, 18, 20 and 24 on page 385.
  • Problem Set 4 (due 25th April -- hand in on 22th for 15pts 'extra credit')
    (i) Questions 2, 6, 10, 14, 18, 24. 42. 44. 46 and 85 on pages 390-1.
  • Problem Set 5 (due 29th April)
    (i) Questions 2, 4, 6, 8, 10 and 41 on page 397.
    (ii) Questions 2, 4, 6, 8, 10 on page 407.
    (iii) Questions 4, 10, 14, 18, 20 and 34 on page 413 and finally answer this question on improper integrals: [pdf] [ps] [dvi].
  • Problem Set 6 (due 6th May)
    (i) Questions 2, 4, 6 and 10 on page 419 and 2, 4, 8 and 24 on page 423.
    (ii) Questions 2, 10, 14, 20, 49, 50, and 51 on pages 434-5.
    (iii) Questions 2, 4, 5, 6, 8, 12, 14 and 23 on pages 440-1.
    (iv) Repeat the final question from last weeks homework. I have corrected the typographical errors in the sheet. (Hand this part in to me.)
  • Problem Set 7 (due 13th May)
    (i) Questions 2, 4, 6, 8, 29, 30 and 31 on page 446.
    (ii) Questions 2, 4, 6, 8, 10, 41 (Hint: think about how we proved the comparison test) and 42 on pages 452-3.
    (iii) Do the final question from Problem Set 5 if there is a Moon on your paper. If you have a Sun on your paper you do not need to re-do it.
  • Problem Set 8 (due 20th May)
    (i) Questions 2, 4, 6 (Just show these converge, don't bother estimating errors and things about S₉.), 8, 10, 12, 14 and 16 on page 457.
    (ii) Questions 2, 6, 21 and 22 on page 461.
    (iii) Re-do the final question from Problem Set 5 if you received a Moon.
  • Problem Set 9 (due 27th May)
    (i) Questions 2, 4, 6, 8, 14 and 16 on page 466.
    (ii) Questions 4 and 20 on page 473.
    (iii) Re-do the final question if you got a Moon. I will multiply your mid-term 2 score by one if you get a Sun and zero if you get a Moon when determining your final grade, so you probably want to get this done eventually.