Elementary Functions and Calculus II (Math 132, Sec 50)

Winter 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 4 to 7. Please see the Course Document via the link below for more basic details.

David Rule

Office Hours

My office hours are Wednesday 2-3pm, Thursday 2-3pm 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

The first mid-term will be held on the Friday of week four and the second on the Friday of week seven.

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
  • Revision Sheet for Mid-term 1 [pdf] [ps] [dvi]
    
  • Here is last year's first mid-term. I will go over the answers in the problem session. Your mid-term will be very similar in spirit to this one.
    [pdf] - the picture might not have come out right in this version; question 1 should have a circle in it. [ps] [dvi]
  • Revision Sheet for the Final [pdf] [ps] [dvi]
    
  • Last Year's Final [ps] [pdf]
  
  
• Homework Questions
  • Problem Set 1 (due 7th Jan)
    (i) Questions 4, 8, 10, 14, 16, 20 on page 166. Room numbers for the tutorial: David Lawlor C116; Sara Revi C106; Louis Sloniker C103. Remember the tutorials are on TuTh 4:30-5:50pm.
  • Problem Set 2 (due 14th Jan)
    (i) Questions 1, 2, 10, 11, 12, 26 and 33 on pages 57-8.
    (ii) Questions 2, 4, 6, 8 and 17 on page 80. Also prove the claim made in class: if, for a function f and a point c, lim_x→c |f(x)| = 0, then lim_x→c f(x) = 0.
    (iii) Questions 4, 5, 6, 10, 12 and 16 on page 122. Also complete the proof of theorem A on page 121: Prove that (cos)' x = -sin x for any real number x.
  • Problem Set 3 (due 21st Jan)
    (i) Questions 2, 4, 9, 22, 33 and 35 on page 201.
    (ii) Questions 6, 12, 14, 20, 22, 24 and 28 on page 172. Prove part (ii) of the monotonicity theorem. (Hint: it's very similar to the proof of (i))
    (iii) Questions 2, 4, 8, 10, 12 and 14 on page 178.
  • Problem Set 4 (due 28th Jan)
    (i) Questions 1, 2, 3, 29 and 30 on pages 185-7.
    (ii) Questions 2, 3, 6 and 8 on page 196.
  • Problem Set 5 (due 4th Feb)
    (i) Questions 2, 4, 6, 8, 14, 16 and 18 on page 214. Prove theorem D on page 212.
    (ii) Questions 10, 12, 14, 16, 36, 49 and 50 on pages 226-7.
  • Problem Set 6 (due 11th Feb)
    (i) Read section 5.4 in the book and do questions 8 and 12 on page 233.
  • Problem Set 7 (due 18th Feb)
    (i) Questions 1, 2, 3, 4, 8, 10 and 12 on page 240.
    (ii) Questions 6, 8, 10, 12, 46 and 48 on pages 249-50.
  • Problem Set 8 (due 25th Feb)
    (i) Questions 29, 31 and 51 on page 250.
  • Problem Set 9 (due 4th Mar)
    (i) Questions 2, 4, 6, 8, 10, 16, 22, 24, 26 and 53 on page 256.
  • Problem Set 10 (due 11th Mar)
    (i) Questions 6, 8, 14, 16, 28, 48 and 58 on page 264.
    (ii) Questions 2, 4, 6, 8 and 10 on page 292.