# All Educational Materials for MATH 1081 at University of Colorado - Boulder (CU-BOULDER)

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Frequently-seen exam questions from 2014 - 2018.

## MATH 3001 Study Guide - Midterm Guide: Identity Matrix, Gaussian Elimination, Linear Combination

8 Page
19 Feb 2020
Please do not think that the info on this page is something you should have memorized (except for the rst listthat"s important). Rather, these facts ma
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## MATH 3001 Lecture 1: exam2_review1_problems

1 Page
19 Feb 2020
Linear independence of vectors: determine if the following collection of vectors in r3 are linearly inde- pendent. If the vectors are linearly dependen
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## MATH 3001 Lecture Notes - Lecture 3: Linear Map, Integrating Factor

6 Page
19 Feb 2020
2 y2 = ln|t2 + 1| + c, y(t) = pc + ln(t2 + 1), (b) we have an initial condition y(1) = 2, so we take the positive solution from above: Substituting bac
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## MATH 3001 Lecture Notes - Lecture 5: Linear Map

1 Page
19 Feb 2020
Ivps: consider the di erential equation dy dt t t2y + y (1) find the general solution for this de. (2) find the solution for this de that passes though
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## MATH 2400 Lecture 9: ch9

23 Page
22 Apr 2019
The cartesian product ir x ir x ir= {(x,y , z)lx ,y,z ei~} is the set of all ordered triples of real numbers and is denoted by jr3 . It is called a thr
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15 Page
22 Apr 2019
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## MATH 2400 Lecture Notes - Lecture 13: Conservative Vector Field, Cud, If And Only If

13 Page
22 Apr 2019
Instructor: dr. xingzhou yang @2018 page 1 of 4: definition of curl: f = pi+ qj + rk = (p, q, r) is a vector field on jr3 of p , q and r exist. The cur
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## MATH 2400 Lecture Notes - Lecture 12: Riemann Sum, Multiple Integral, Contour Line

12 Page
22 Apr 2019
12. 1 double integrals over rectangles -- math 2400 sec 006/011/013, fall 2018. Review of riemann sum, area and definite integral: if f(x) is defined o
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31 Page
22 Apr 2019
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## MATH 2400 Study Guide - Midterm Guide: Tangent Space, Joule, Visual Flight Rules

2 Page
22 Apr 2019
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