Sample ProblemsThe following are practice problems taken from the course textbook (unless otherwise stated). These have been chosen to help you practice your skills and prepare for the tests. It is strongly recommended that you do these problems as the course progresses, as it is very easy to fall behind in this material. 
Practice Materials & NotesThe following are collected examples, and extended notes, intended to assist you in the progress of the course. These will be useful in studying for the term tests, so make sure you go through them at or before the point where they are mentioned during the course. 


Practice Problems  From 8th ed. ONLY7th Edition Problems are Linked HERE Section 7.53,7,11,45,73 Section 7.814[ans. 11/e],17,24[ans. 1],29,31,32[ans. Pi/2] ,37,53,57,58[ans. p>1, 1/(p1)] Chap. 7 Review7, 11, 15, 45 Appendix E38,41,47(use induction) Section 11.19, 15, 17, 29, 33, 35, 39, 41, 49, 73, 77, 80 [b) ans. 2], 81 Section 11.215, 17, 19, 23, 25, 37, 42[ans. diverge], 45, 47, 57, 59, 67 Section 11.323, 24[ans. converge], 29, 37(a,c,d), 40[ans. n>e^{100}] Section 11.43, 5, 7, 9, 13, 15, 21, 25 Section 11.5313(odd only) 23, 25 Section 11.63, 5,9, 23, 25, 29, 31,43 Section 11.71, 7, 13, 19, 21 Section 11.83, 5, 11, 15, 17, 23, 27, 29, 30[ans. a) conv. b) div. c) conv. d) div.] ___________________Section 11.95, 7, 9, 13, 15, 25, 40[ans. a) 1/(1x)^{2},b) x/(1x)^{2}, 2, c) 2x^{2}/(1x)^{3}, 4, 2] Section 11.1011, 13, 15, 23, 31, 47, 53, 55, 73 Section 11.119, 15, 25, 27 Section 8.21(a),9,12,13,15,16[ans. 6Pi/5],27 Section 8.31, 3, 5, 9, 13, 15 Section 9.13, 4[a) ans. ±5/2], 9, 11, 13, 15 Section 9.39, 15, 19, 20[ans. 1+exp(x^{2}/2)], 29, 39, 45 Section 3.83, 9, 11, 14[ans. y=5*exp(2x)], 17 Section 9.5715(odd only), 29, 33 Section 10.11, 3, 7, 11, 15, 19, 24 [ans. a)III b)I c)IV d)II], 25 Section 10.27, 11, 19, 33, 41, 43, 51, 61 ___________________Section 10.33, 5, 7, 11, 17, 19, 21, 25, 29, 31, 37, 54 [ans. a)VI b)III c)II d)IV e)V f)I ], 63 Section 14.19, 11, 13, 15, 19, 2331(odd only), 32 [ans.a)III b)I c)IV d)V e)VI f)II], 45, 47, 49, 53, 61 [ans. C II],62 [ans. A IV],63 [ans. F I], 64 [ans. E III],65 [ans. B VI],66 [ans. D V] Section 14.2517 (odd only), 29, 31, 33, 37 Section 14.35, 6, 7, 10[ans. f_{x}(2,1)~+3,f_{y}(2,1)~2], 11, 1535,(odd only), 47, 49, 51, 53, 59, 65, 67, 75, 77, 81 Section 14.41, 3, 5, 11, 13, 19, 21, 27, 31, 33 Section 14.5313(odd only), 14, 23, 25, 27, 29, 35, 49, 51 Section 14.615, 19, 21, 29, 31, 33, 39 Section 15.11,3,7,9,11,15, 17, 19, 21, 32, 33, 37, 39, 47 Section 15.27, 9, 11, 15, 22, 23, 4553(odd only), 61 ___________________ 
Lecture Notes (By Section)
C. McLean's Notes ___________Tutorial Material___________Sample TestsThese practice tests are a similar flavour to those that will
appear on your tests.
Sample Test #1 2nd Sample Test #1 Sample Test #2 2nd Sample Test #2 Sampler of Post Test 2 Questions (Reassambled from the former "Sample Test 3") Sample Final Examination  now Updated for 2020 ___________Supplemental Notes
Identities and Integrals from 1A03/1ZA3 Basic Derivative Rules Summary l'Hopital's Rule Example (Review) Note and Example of Proof by Induction Note and Example of Series and Connection to Sequences 