Elementary Functions and Calculus I (Math 131, Sec 42)

Autumn 2004

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 1 to 2 and 3. Please see the Course Document via the link below for more basic details.

David Rule

Office Hours

I will hold office hours from 12:30pm to 1:30pm on Wednesday and from 4pm to 5pm on Thursday. 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.

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
  • Handout 1 [pdf] [ps] [dvi]
  • Practice Mid-term 1 [pdf] [ps] [dvi]
  • Practice Mid-term 2 [pdf] [ps] [dvi]
  • Practice Mid-term 2 Solutions [pdf] [ps] [dvi]
  • Final Revision Sheet [pdf] [ps] [dvi]
  
  
  
• Homework Questions
  • Problem Set 1 (due 1st Oct)
    Page 5, questions 21 to 30; page 9, questions 7 to 12, 14, 19 and 20.
  • Problem Set 2 (due 8th Oct)
    (i) Questions 31, 32, 33 and 34 on page 13 and questions 2, 4, 8, 18, 22, 31, 40 and 41 on page 18.
    (ii) Questions 2, 4, 6, 16, 21 and 24 from page 22 and questions 10, 12, 14 and 22 on page 27.
  • Problem Set 3 (due 15th Oct)
    (i) Question 39 on page 32, questions 10, 12 and 14 on page 42 and questions 1, 3, 4, 6 and 11 on page 48.
    (ii) Questions 2, 4, 6, 10, 12, 14, 16, 18, 30 and 32 on page 64.
    (iii) Questions 4, 8, 10, 19, 20 and 28 on pages 71-2.
  • Problem Set 4 (due 22nd Oct)
    (i) Use the definitions of left and right-hand limits to prove that if the left and right-hand limits exist and are equal, then the limit exists and equals the same value as either of the one sided limits.
    (ii) Questions 2, 4, 6, 7, 15, 18, 22, 33, 34 and 36 from pages 76-7.
  • Problem Set 5 (due 29th Oct)
    (i) Problems 2, 8, 12, 18, 24, 32 and 43 on page 85.
    (ii) Use the main limit theorem (2.6A) to prove theorem 2.9A in the book. Answer questions 37, 38, 42, 43 and 55 on pages 92-3.
  • Problem Set 6 (due 5th Nov)
    (i) Questions 10, 12, 16, 18 and 22 on pages 105-6.
    (ii) Questions 2, 4, 6, 8, 10, 16, 28 and 48 on pages 111-2.
  • Problem Set 7 (due 12th Nov)
    (i) Read the first section of 3.3 to understand the alternative notation for derivatives. Do questions 2, 4, 6, 10, 12, 14, 16, 21, 24, 26, 30 and 47 on page 119.
    (ii) Problems 2, 4, 8, 20, 22, 24, 30 and 52 on pages 127-8.
  • Problem Set 8 (due 19th Nov)
    (i) Questions 2, 4, 6, 8, 10, 12, 18 and 19 on page 138.
    (ii) Questions 2, 6, 8, 10, 20, 22, 24, 26, 37 and 38 on pages 143-4.
  • Problem Set 9 (due 3rd Dec)
    (i) Questions 2, 4, 8 and 20 on pages 149-50.
    (ii) Questions 4, 8, 10, 12, 14, 16, 20 on page 166.