Mathematics 130: Logic Tutorial Problems
MATHEMATICS 130: 2009
TUTORIAL PROBLEMS
Logic and Proof Techniques + Calculus
Tutorial 1: 10 – 11 Feb
Review of Algebra and Quiz
Tutorial 2: 17 – 18 Feb
Exercises 1.1, 1.3, 1.5, 1.7, 1.9, 1.10, 1.11, 1.12, 1.13, 1.14
Tutorial 3: 24 – 25 Feb
Exercises 1.15, 1.17-1.23, 2.1, 2.2
Tutorial 4: 03 – 04 Mar
Exercises 2.6(a, c, e, f), 2.7 – 2.12, 2.13(a, b), 2.14, 2.16 – 2.18,
2.21 – 2.23, 2.25
Tutorial 5: 10 – 11 Mar
Exercises 2.29, 2.30. 2.31, 2.33, 2.35, 2.37.
Calculus: Exercises 1.1, # 1, 11, 19, 21, 22.
Appendix A (page A6-A7): # 5, 6, 7, 10, 31, 32, 33, 35, 37, 39, 43.
Tutorial 6: 17 – 18 Mar
Calculus Appendix C (page A27)
# 1 – 5, 7, 11 – 13, 20, 21, 23 – 25, 27, 29 – 36.
Tutorial 7: 24 – 25 Mar
Appendix C (page A28) # 41, 42, 43, 44(b), 45, 49, 51.
Exercise 1.3 (page 46-48) # 3, 13, 14, 21, 23, 27, 37, 41, 43, 44, 64, 65
Tutorial 8: 31 Mar – 1 Apr
Exercises 1.5 (page 61) # 7, 11, 15, 17, 19.
Exercises 1.6 (page 72) # 15, 16, 20-23, 25, 33, 34, 39, 45(a), 46(b), 49, 51.
Exercises 2.2 (page 106) # 5, 6, 9, 11.
Exercises 2.3 (page 115) # 1, 4, 9, 11, 17, 19, 20, 27, 29, 31, 33, 34, 38, 44, 45.
Tutorial 9: 14 – 15 Apr
Exercises 2.4 (p126): 3 -7, 11, 13, 15, 20, 25 - 33 (odd numbers), 37, 39, 45.
Exercises 2.5 (p137): 1 - 7 (odd numbers), 15, 23, 25, 29, 31, 41.
Tutorial 10: 21 – 22 Apr
Exercises 2.6 (p145): 5 (a, b), 7, 11, 15, 17, 27.
Exercises 2.7 (p153): 4, 5, 7, 9, 15, 19, 23, 25, 29, 33, 35.
Exercises 2.8 (p165): 3, 7, 9, 14, 15, 23, 25, 31, 33, 37, 47, 51.
Tutorial 11: 28 – 29 Apr
Exercises 2.9 (p172): 1, 3, 5, 10, 11, 13, 17, 19, 21, 23. Omit anti derivatives [See Later in Chapter 4 (Section 4.9)]
Exercises 3.1 (p190): A selection from 3 - 25; Then 41, 43, 47, 49, 51, 52.
Tutorial 12: 5 – 6 May
Exercises 3.2 (p198): A selection from 3 - 19, 21, 23 (a), 27 (a), 31, 35, 41, 43, 47, 48.
Exercises 3.4 (p219): 39, 41, 42 (a, b).
Tutorial 13: 12 – 13 May
Exercises 3.4 (p219): 1, 3, 8, 9, 13, 16, 19, 25, 26, 27, 33, 36, 39, 41, 42(a, b).
Exercises 3.5 (p228): 1, 3, 6, 7, 10, 13, 15, 17, 22, 27, 30, 31, 37, 41, 49, 56, 57, 77.
Exercises 3.6 (p238): 3, 5, 6, 9, 10, 11, 15, 17, 27, 29, 31, 32, 35, 39, 50, 51, 52.
Exercises 3.7 (p245): 2, 3, 5, 7, 11, 14, 15, 17, 21, 23, 27, 29, 31, 36, 37, 39, 41, 42.
Tutorial 13: 19 – 20 May
Exercises 4.1. (p267): 1, 3, 7, 8, 9, 11, 13, 17, 18, 22, 26, 27, 34, 35.
Exercises 4.2 (p274): 3, 5, 9, 13, 15, 18, 21, 25, 28, 29, 37, 42, 46, 47, 48.
Exercises 4.3 (p286): 5, 7, 11, 15, 17, 19, 23, 24, 29, 30, 31, 34, 49, 50, 51, 54.
Exercises 4.6 (p311): 3, 5, 9, 10, 13, 17, 21, 23, 33, 34.
2010
Logic and Proof Techniques: 2.29, 2.30, 2.31, 2.33, 2.35, 2.37.
Stewart: Ex 1.1: Nos 1, 11, 19, 21, 22.
Appendix A (p A6-A7): Ex 5, 6, 7, 10, 31, 32, 33, 35, 37, 39, 43.
Section 1.3 [New Functions from Old]: Nos 3, 13, 14, 21, 23, 27, 37, 41, 43, 44, 64, 65.
Section 1.5 [Exponential functions]: Nos 7, 11, 15, 17, 26(a-c), 27(a,b).
Section 1.6 [Inverse functions and logs]: Nos 15, 16, 20-23, 25, 33, 34, 39, 45(a), 46(b), 49, 51, 57.
Appendix C [Inverse trig.]: Nos Ex 1-5, 7, 11-13, 20, 21, 23-25, 27, 29-36, 41, 42, 43, 44(b), 45, 49, 51.
Section 2.2 [The Limit of a Function]: Nos 5, 6, 9, 11.
Section 2.3 [Calculating Limits using the Limit Laws]: Nos 1, 4, 9, 11, 17, 19, 20, 27, 29, 31, 33, 34, 38, 44, 45.