Midterm #2 Information
Date, Time and Location Monday 12 November, 7:00 p.m. to 8:15 p.m, in various rooms on campus. Specic locations are listed on the course Web site. Question & Answer Session There will be a Question & Answer
Faculty of Mathematics University of Waterloo MATH 135
Monday 15 October 2007
MIDTERM EXAM #1 Fall 2007
1. Let a, b, c Z. Suppose that P is the statement: If a | b or a | c, then a | bc.  (a) Write down the converse of P
MATH 135 Assignment #8
Due: Thursday 22 November 2007, 8:20 a.m.
In problems 3 and 4, please do your work by hand and show this work. (Of course, using MAPLE to check your answers is probably a good idea.) The last page of this d
MATH 135 Assignment #7
Due: Wednesday 07 November 2007, 8:20 a.m.
1. In each part, determine if the congruence has solutions. If it does, determine the complete solution. (a) 1653x 77 (mod 2000) (b) 1492x 77 (mod 2000)
MATH 135 Assignment #6
Hand-In Problems 1. In each part, explain how you got your answer. (a) What is the remainder when 14585 is divided by 3? (b) Is 824 + 1312 divisible by 7? (c) What is the last digit in the base 6 representation of 824 ? (d) Det
MATH 135 Assignment #5
Hand-In Problems 1. (a) Convert (84 808)9 to base 10. Show your work.
Due: Wednesday 24 October 2007, 8:20 a.m.
(b) Convert 37 390 to base 16, using A for ten, B for eleven, C for twelve, D for thirteen, E for fourt
Term Test 2 Information
Monday, March 9th, 7:00 - 8:50 pm
Material Covered: Sections 3-4, 4-1, 4-2, 4-3, 4-4. You need to know: - All denitions and statements of theorems and lemmas. - The vector space axioms. - How to prove a subset of a
Math 136 Section 3-4 Exercises
Assignment 5 Solutions
B3. a) S is not a subspace of R4 since it does not contain the zero vector. b) We rst observe T contains the zero vector and hence is a non-empty subset of R4 . Let x, y T then (x1 , x2 , x3 ,
Monday January 5 Lecture 1 : Review : Vectors in R2 and R3. (Refers to section 1.1 and 1.2 in your text) Objectives: 1. 2. 3. 4. 5. 6. 7. Define vectors in Rn and in particular in R2 and R3. Define scalars, coordinates, components. Represent vectors
ASSIGNMENT 7 for SECTION 001
Questions from the textbook Section 3-5: B1, matrices A and E [2 marks]; B3 (a) and (b), parts (i) and (ii) [3 marks]; D1 [2 marks]; D4 [2 marks]; and D5 [2 marks] Section 3-6: B1 (a), (b) and (c) [3 marks]; and B4 [4 ma
ASSIGNMENT 3 for SECTION 001 Solutions
Questions from the textbook Section 3-2: B1 [4 marks]; B3 (a) and (b) [6 marks]; B4 (b) and (c) [6 marks]; and B5 [4 marks] In addition to the questions listed here, do the MATLAB question from Assignment 3 for
ASSIGNMENT 3 for SECTION 001
Questions from the textbook Section 3-2: B1 [4 marks]; B3 (a) and (b) [4 marks]; B4 (b) and (c) [6 marks]; and B5 [4 marks] In addition to the questions listed here, do the MATLAB question from Assignment 3 for the other