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07:0807:08, 7 February 2018 diff hist 0‎ Science:Math Exam Resources/Courses/MATH152/April 2015/Question A 03 ‎No edit summary
07:0707:07, 7 February 2018 diff hist +511‎ N Science:Math Exam Resources/Courses/MATH152/April 2015/Question A 03/Solution 1 ‎ Created page with "We want to have an answer in the form <math> a + ib </math>, so first, get rid of the imaginary part of the denominator by multiplying both the numerator and the denominator b..."
06:5606:56, 7 February 2018 diff hist +201‎ N Science:Math Exam Resources/Courses/MATH152/April 2015/Question A 03/Hint 1 ‎ Created page with "Consider the following property for any complex number <math> z </math> and <math> z^{*} </math> where <math> z^{*} </math> is the complex conjugate of <math> z </math>: <mat..."
06:5306:53, 7 February 2018 diff hist 0‎ Science:Math Exam Resources/Courses/MATH152/April 2015/Question A 02 ‎No edit summary
06:5206:52, 7 February 2018 diff hist 0‎ m Science:Math Exam Resources/Courses/MATH152/April 2015/Question A 02/Solution 1 ‎No edit summary
06:5106:51, 7 February 2018 diff hist +207‎ N Science:Math Exam Resources/Courses/MATH152/April 2015/Question A 02/Solution 1 ‎ Created page with "Expand and separate into real and imaginary components. <math> zu = (1+3i)(1-i) = (1)(1) - (1)(i) + (3)(1)(i) + (3)(i)(-i) </math> <math> = 1 - i + 3i + 3 = (1+3) + (3-1)i..."
06:4606:46, 7 February 2018 diff hist +58‎ Science:Math Exam Resources/Courses/MATH152/April 2015/Question A 01/Solution 1 ‎No edit summary
06:4406:44, 7 February 2018 diff hist 0‎ Science:Math Exam Resources/Courses/MATH152/April 2015/Question A 01 ‎No edit summary
06:4106:41, 7 February 2018 diff hist +17‎ Science:Math Exam Resources/Courses/MATH152/April 2015/Question A 01/Solution 1 ‎No edit summary
06:4006:40, 7 February 2018 diff hist +2‎ Science:Math Exam Resources/Courses/MATH152/April 2015/Question A 01/Solution 1 ‎No edit summary
06:3906:39, 7 February 2018 diff hist −1‎ Science:Math Exam Resources/Courses/MATH152/April 2015/Question A 01/Solution 1 ‎No edit summary
06:3806:38, 7 February 2018 diff hist +129‎ N Science:Math Exam Resources/Courses/MATH152/April 2015/Question A 01/Solution 1 ‎ Created page with "<math> z = 1 + 3i </math> <math> 2u = 2(1 - i) = 2 - 2i </math> <math> z + 2u = 1 + 3i - 2 + 2i = \color{blue}{-1 + 5i} </math>"

06:5906:59, 26 November 2017 diff hist 0‎ Science:Math Exam Resources/Courses/MATH105/April 2015/Question 02 (b) ‎No edit summary
06:5806:58, 26 November 2017 diff hist −1‎ Science:Math Exam Resources/Courses/MATH105/April 2015/Question 02 (b)/Hint 2 ‎No edit summary
06:5806:58, 26 November 2017 diff hist +67‎ Science:Math Exam Resources/Courses/MATH105/April 2015/Question 02 (b)/Hint 2 ‎No edit summary
06:5606:56, 26 November 2017 diff hist +1,491‎ N Science:Math Exam Resources/Courses/MATH105/April 2015/Question 02 (b)/Solution 1 ‎ Created page with "<math> \int_{2}^{4} \frac{x^2 -4x +4}{\sqrt{12+4x-x^2}}dx = \int_{2}^{4} \frac{x^2 -4x +4}{\sqrt{-(x^2-4x+4) + 16}}dx </math> This problem requires two clever substitutions...."
06:0106:01, 26 November 2017 diff hist +123‎ N Science:Math Exam Resources/Courses/MATH105/April 2015/Question 02 (b)/Hint 2 ‎ Created page with "Consider the trigonometric identity <math> a^2\sin^2(x) + a^2\cos^2(x) = a^2 </math> for some constant <math> a </math>."
05:5905:59, 26 November 2017 diff hist +52‎ N Science:Math Exam Resources/Courses/MATH105/April 2015/Question 02 (b)/Hint 1 ‎ Created page with "Try making the substitution <math> u = x-2 </math>"

06:5506:55, 23 November 2017 diff hist 0‎ Science:Math Exam Resources/Courses/MATH105/April 2015/Question 01 (n) ‎No edit summary
06:5506:55, 23 November 2017 diff hist +1,708‎ N Science:Math Exam Resources/Courses/MATH105/April 2015/Question 01 (n)/Solution 1 ‎ Created page with "To find the limit of the sequence <math> \{ \ln(\sin\frac{1}{n}) + \ln(2n)\}, </math> we'll need to evaluate <math> \lim_{n \rightarrow \infty} [\ln(\sin\frac{1}{n}) + \ln(2..."

08:2808:28, 20 November 2017 diff hist 0‎ Science:Math Exam Resources/Courses/MATH105/April 2015/Question 01 (n) ‎No edit summary
08:2808:28, 20 November 2017 diff hist +1‎ Science:Math Exam Resources/Courses/MATH105/April 2015/Question 01 (n)/Hint 3 ‎No edit summary current
08:2708:27, 20 November 2017 diff hist +74‎ N Science:Math Exam Resources/Courses/MATH105/April 2015/Question 01 (n)/Hint 3 ‎ Created page with "If you get stuck when evaluating a limit, try considering L'Hopital's rule"
08:2008:20, 20 November 2017 diff hist −88‎ Science:Math Exam Resources/Courses/MATH105/April 2015/Question 01 (n)/Hint 2 ‎No edit summary current
08:1708:17, 20 November 2017 diff hist +141‎ N Science:Math Exam Resources/Courses/MATH105/April 2015/Question 01 (n)/Hint 2 ‎ Created page with "Recall that <math> \lim_{n \rightarrow \infty} (f(n) + g(n)) = \lim_{n \rightarrow \infty} f(n) + \lim_{n \rightarrow \infty} g(n) </math>"
08:1608:16, 20 November 2017 diff hist +116‎ N Science:Math Exam Resources/Courses/MATH105/April 2015/Question 01 (n)/Hint 1 ‎ Created page with "To find the limit of the sequence <math> \{{a_n}\} </math>, evaluate <math> \lim_{n \rightarrow \infty} a_n </math>" current
08:1108:11, 20 November 2017 diff hist 0‎ Science:Math Exam Resources/Courses/MATH105/April 2015/Question 01 (l) ‎No edit summary
08:1008:10, 20 November 2017 diff hist +227‎ N Science:Math Exam Resources/Courses/MATH105/April 2015/Question 01 (l)/Hint 1 ‎ Created page with "Use the fact that <math> \sum_{k=n}^{\infty} a_k = \sum_{k=0}^{\infty} a_k - \sum_{k=0}^{n-1} a_k </math> to separate the series into two series you can calculate: an infi..."
08:0508:05, 20 November 2017 diff hist +27‎ Science:Math Exam Resources/Courses/MATH105/April 2015/Question 01 (l)/Solution 1 ‎No edit summary
08:0408:04, 20 November 2017 diff hist +1,279‎ N Science:Math Exam Resources/Courses/MATH105/April 2015/Question 01 (l)/Solution 1 ‎ Created page with "We can expand our series into two series. <math> \sum_{k=7}^{\infty} (\frac{1}{8})^k = \sum_{k=0}^{\infty} (\frac{1}{8})^k - \sum_{k=0}^{6} (\frac{1}{8})^k </math> The first..."

10:4610:46, 11 November 2017 diff hist +92‎ N User:ChongHeeonPark ‎ Created page with "Hi! I'm a third year undergraduate specializing in Physics and I'm a contributor to the MER." current
10:3410:34, 11 November 2017 diff hist 0‎ Science:Math Exam Resources/Courses/MATH200/December 2013/Question 06 ‎No edit summary current
10:3310:33, 11 November 2017 diff hist −17‎ Science:Math Exam Resources/Courses/MATH200/December 2013/Question 06/Solution 1 ‎No edit summary current
10:3210:32, 11 November 2017 diff hist +1,146‎ N Science:Math Exam Resources/Courses/MATH200/December 2013/Question 06/Solution 1 ‎ Created page with "Like the hint suggests, we need to change the order of integration. First, we must begin by setting up the new bounds. We can begin by drawing the domain of integration. <ma..."
09:5109:51, 11 November 2017 diff hist +220‎ N Science:Math Exam Resources/Courses/MATH200/December 2013/Question 06/Hint 1 ‎ Created page with "The way the integral is set up, it requires you integrate for <math> e^{y^2} </math> with respect to <math> y </math> first. This is a difficult integral to solve so you shoul..." current
09:4609:46, 11 November 2017 diff hist +65‎ N Science:Math Exam Resources/Courses/MATH200/December 2013/Question 06/Statement ‎ Created page with "Evaluate <math> \int_{-1}^{0} \int_{-2}^{2x} e^{y^2}dydx </math>" current
09:3909:39, 11 November 2017 diff hist +1‎ m Science:Math Exam Resources/Courses/MATH200/December 2013/Question 05 (a)/Statement ‎No edit summary current
09:3909:39, 11 November 2017 diff hist +180‎ N Science:Math Exam Resources/Courses/MATH200/December 2013/Question 05 (b)/Statement ‎ Created page with "This question is about the integral <math> \int_{0}^{1} \int_{\sqrt{3}y}^{\sqrt{4-y^2}} \ln(1+x^2+y^2) dxdy </math> (b) Evaluate the integral by transforming to polar coordi..." current
09:3809:38, 11 November 2017 diff hist 0‎ Science:Math Exam Resources/Courses/MATH200/December 2013/Question 05 (a) ‎No edit summary current
09:3709:37, 11 November 2017 diff hist +881‎ N Science:Math Exam Resources/Courses/MATH200/December 2013/Question 05 (a)/Solution 1 ‎ Created page with "We have to start by drawing the following curves to see the domain of integration <math> (1) \quad y = 0 </math> <math> (2) \quad y = 1 </math> <math> (3) \quad x = \sqr..." current
09:2009:20, 11 November 2017 diff hist +15‎ Science:Math Exam Resources/Courses/MATH200/December 2013/Question 05 (a)/Hint 1 ‎No edit summary current
09:2009:20, 11 November 2017 diff hist +107‎ N Science:Math Exam Resources/Courses/MATH200/December 2013/Question 05 (a)/Hint 1 ‎ Created page with "The bounds tell us that <math> 0 \leq y \leq 1 </math> <math> \sqrt{3}y \leq x \leq \sqrt{4-y^2} </math>"
08:5408:54, 11 November 2017 diff hist +153‎ N Science:Math Exam Resources/Courses/MATH200/December 2013/Question 05 (a)/Statement ‎ Created page with "This question is about the integral <math> \int_{0}^{1} \int_{\sqrt{3}y}^{\sqrt{4-y^2}} \ln(1+x^2+y^2) dxdy </math> a) Sketch the domain of integration"
08:3508:35, 11 November 2017 diff hist +718‎ N Science:Math Exam Resources/Courses/MATH317/April 2016/Question 01 (a) ‎ Created page with "  <!-- second letter is for..." current

08:3908:39, 31 October 2017 diff hist +109‎ N Thread:Science talk:Math Exam Resources/Courses/MATH105/April 2015/Question 02 (a)/Improve hints/reply ‎ Reply to Improve hints current
08:3608:36, 31 October 2017 diff hist +1‎ Science:Math Exam Resources/Courses/MATH105/April 2015/Question 02 (a)/Hint 1 ‎No edit summary current
08:3608:36, 31 October 2017 diff hist +54‎ Science:Math Exam Resources/Courses/MATH105/April 2015/Question 02 (a)/Hint 1 ‎No edit summary
08:3508:35, 31 October 2017 diff hist −48‎ Science:Math Exam Resources/Courses/MATH105/April 2015/Question 02 (a)/Hint 2 ‎ Blanked the page

03:5103:51, 26 October 2017 diff hist 0‎ Science:Math Exam Resources/Courses/MATH105/April 2015/Question 03 (a) ‎No edit summary
03:4503:45, 26 October 2017 diff hist +1,074‎ N Science:Math Exam Resources/Courses/MATH105/April 2015/Question 03 (a)/Solution 1 ‎ Created page with "<math> f(x,y) = (x-1)^2 + (y+1)^2 </math> <math> g(x,y) = x^2 + y^2 = 4 </math> <math> f_x = 2x - 2 </math> <math> f_y = 2y + 2 </math> <math> g_x = 2x </math> <math>..."

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