MATH 138 Winter 2012 Assignment 1 Topics: Review the Fundamental Theorems of Calculus, Integration by substitution and by parts. Due: 11 am Friday, January 13.
Instructions: Print your name and I.D. n
CS 136 Assignment 2 Final 100114.2
Revision 1: score should be 'undefined if no games have been played Revision 2: added bonus question Due Thursday, January 21 at 22:00 sharp. No late marks will be a
CS 136 Assignment 5 Draft 100205.5
Due Thursday, February 11 at 22:00 sharp. No late marks will be awarded. This assignment will use RunC tool v0.2 (updated since assignment 4) to evaluate your C and
Math 136
Assignment 3 Solutions
2 1 1 and v = -1. Calculate projv u and perpv u. 1. Let u = 3 1 Solution: We have 1 uv 4 projv u = v = -1 v 2 3 1 2 1 2/3 4 perpv u = u - projv u = 1 - -1 = 7/3 3 1 3
Math 136
Assignment 3
Due: Wednesday, Jan 25th
2 1 1 and v = -1. Calculate projv u and perpv u. 1. Let u = 3 1 1 1 2 and v = 0. Calculate projv u and perpv u. 2. Let u = -3 1 -2 1 1 1 onto the plane
Math 136
Assignment 2 Solutions
1. Determine, with proof, which of the following are subspaces of R3 and which are not. x1 a) S1 = 0 R3 | x1 - x2 = 0 x2 0 3 0 S1 since 0 - 0 = 0. Thus, S1 is a Solutio
Math 136
Term Test 1 Information
Monday, Feb 6th, 7:00 - 8:30 pm
Material Covered: Chapters 1 and 2 (assignments 1 - 4). You need to know: - All definitions and statements of theorems. - How to perfor
Computer Science 136: Elementary Algorithm Design and Data Abstraction Winter 2012
David R. Cheriton School of Computer Science
Lecture 12 Memoization and Ordered Lists
We examine more closely the ide
Computer Science 136: Elementary Algorithm Design and Data Abstraction Winter 2012
David R. Cheriton School of Computer Science
Lecture 11 - Destructive and Non-destructive List Processing
The list op
Math 136
Assignment 5
Due: Wednesday, Feb 15th
1. Let A = (a) 2A - B
1 2 -1 1 0 0 5 -1 2 ,B= ,C= . Determine the following 3 -2 -1 0 2 -3 1 -1 2
(b) A(B T + C T ) (c) BAT + CAT 2. Find t1 , t2 , t3 R
Section 5.3 54) Evaluate the integral and interpret it as a difference of areas. Illustrate with a sketch.
2
cos x dx.
/6
Solution:
2
cos x dx = [sin x]2 = 0 - /6
/6
1 1 =- . 2 2
It is a sum of the tw
MATH 138 Winter 2012 Assignment 2 Topics: Trigonometric Integrals, Trigonometric Substitutions Due: 11 am Friday, January 20.
Instructions: Print your name and I.D. number at the top of the first page
MATH 138 Winter 2012 Assignment 3 Topics: Integration by rational functions and Volumes of revolution Due: 11 am Friday, January 27.
Instructions: Print your name and I.D. number at the top of the fir
MATH 138 Winter 2012 Assignment 4 Topics: Volumes of revolution, Approximate Integration and Improper Integrals Due: 11 am Friday, February 3.
Instructions: Print your name and I.D. number at the top
MATH 138 Winter 2012 Assignment 5 Topics: Differential Equations (Chapter 9) Due: 11 am Friday, February 17th.
Instructions: Print your name and I.D. number at the top of the first page of your soluti
Computer Science 136: Elementary Algorithm Design and Data Abstraction Winter 2012
David R. Cheriton School of Computer Science
Lecture 10 Linked Structures, Racket
We look more deeply at pointers and
Computer Science 136: Elementary Algorithm Design and Data Abstraction Winter 2012
David R. Cheriton School of Computer Science
Lecture 9 A Miscellany of C-isms
So far we have taken an idiomatic appro
Computer Science 136: Elementary Algorithm Design and Data Abstraction Winter 2012
David R. Cheriton School of Computer Science
Lecture 9 Linked Data Structures
The C language does not provide the con
CS 136 Assignment 3 Final 100124.5
Due Thursday, January 28 at 22:00 sharp. No late marks will be awarded. All work must be submitted to the Marmoset submission system. See the preamble of assignment
CS 136 Assignment 4 Final (revised 100131.7)
Note (January 31): float and double are prohibited.
Due Thursday, February 4 at 22:00 sharp. No late marks will be awarded. All work must be submitted to t
Formula Sheet: MATH 138-W12-003 Trigonometric Identites: sin2 x + cos2 x = 1 tan2 x + 1 = sec2 x sin2 x = 1 (1 - cos 2x) , 2 cos2 x = 1 (1 + cos 2x) . 2
Midterm 2012
1 [sin(A - B) + sin(A + B)] , 2 1
MATH 138 Maple Lab 1 Assignment (for Assignment 4)
Integral Approximations in Maple
Due: Friday, February 3, 2012 by 11:00 a.m. in the MATH 138 dropboxes outside of MC 4066. Be sure to staple your Map
Section 7.2: 14) Evaluate the integral, cos cos5 (sin ) d. Solution: Substitute u = sin and du = cos d to obtain, cos cos5 (sin ) d = cos5 u du
Next, we separate one of the cosines and use the trigono
Assignment 3: Solutions MATH 138 2012 Section 7.4: 14) Evaluate the integral, 1 dx. (x + a)(x + b) Solution: If a = b then we have the following decomposition, 1 1 = (x + a)(x + b) b-a 1 1 - x+a x+b
W
Computer Science 136: Elementary Algorithm Design and Data Abstraction Winter 2012
David R. Cheriton School of Computer Science
Lecture 1 Welcome to CS136
CS 136 builds on CS 135. Introduction of C (a
Computer Science 136: Elementary Algorithm Design and Data Abstraction Winter 2012
David R. Cheriton School of Computer Science
Lecture 2 I/O and a bit of mutation
Side-effects, Input/Output Formatted
Computer Science 136: Elementary Algorithm Design and Data Abstraction Winter 2012
David R. Cheriton School of Computer Science
Lecture 3 Separation of Concerns
Separate code which implements function
Computer Science 136: Elementary Algorithm Design and Data Abstraction Winter 2012
David R. Cheriton School of Computer Science
Lecture 4 Abstract Data Types (ADTs)
An Abstract Data Type is a mathemat