Introduction to Linear Algebra and Differential Equations
MATH 24

Spring 2014
Math 24
Exam 1: February 23, 2009
ON THE FRONT OF YOUR BLUEBOOK WRITE (1) YOUR NAME, (2) A FOURPROBLEM GRADING GRID. Show ALL of your work in your greenbook/bluebook and box in your nal answers.
Unle
Introduction to Linear Algebra and Differential Equations
MATH 24

Spring 2014
Math 24,
Midterm Exam 2 Solutions,
March 29, 2016
ON THE FRONT OF YOUR GREEN/BLUEBOOK WRITE: YOUR NAME AND A FOURPROBLEM
GRADING GRID. Show ALL of your work and box in your final answers. Unless othe
Introduction to Linear Algebra and Differential Equations
MATH 24

Spring 2014
Formula/Equation Sheet: Mechanics
vs = v0s + as t
s = s0 + vs0 t + 12 as (t)2
2 + 2a s
vs2 = vs0
s
y = x tan 0
v2
r
ar =
= 2r
gx2
2v02 cos2 0
vavg,s = (vs + vs0 )/2
s = r
v = r
at = r
= 0 + t
= 0 +
Introduction to Linear Algebra and Differential Equations
MATH 24

Spring 2014
Lecture 12: Sections 3.2 and 3.3
Spring 2017
February 28, 2017
Math 24 Spring 2017
Lecture 12
Section 3.2: Systems of Linear Equations
Reduced Row Echelon Form (RREF)
An augmented matrix is in reduced
Introduction to Linear Algebra and Differential Equations
MATH 24

Spring 2014
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Introduction to Linear Algebra and Differential Equations
MATH 24

Spring 2014
Lecture 9: Sections 3.1 and 3.2
Spring 2017
February 14, 2017
Math 24 Spring 2017
Lecture 9
Section 2.6: Systems of Differential Equations
PredatorPrey Example: It is known that foxes eat rabbits.
R(
Introduction to Linear Algebra and Differential Equations
MATH 24

Spring 2014
Lecture 11: Sections 3.2
Spring 2017
February 23, 2017
Math 24 Spring 2017
Lecture 11
Section 3.2: Systems of Linear Equations
Dimensions: An m n system of linear equations is of the
form:
A ~x = ~b
m
Introduction to Linear Algebra and Differential Equations
MATH 24

Spring 2014
MATH 24: Linear Algebra & Differential Equations
Fall Semester 2017
Homework Assignment #5
Due: Wednesday, September 27 by noon
Part I. Problems from the book.
Section 2.4: Problems 6, 12, 16
Sectio
Introduction to Linear Algebra and Differential Equations
MATH 24

Spring 2014
MATH 24: Linear Algebra & Differential Equations
Fall Semester 2017
Homework Assignment #7
Due: Wednesday, October 18 by noon
Part I. Problems from the book.
Section 3.2: 40, 41, 52,
Section 3.3: 6,
Introduction to Linear Algebra and Differential Equations
MATH 24

Spring 2014
MATH 24: Linear Algebra & Differential Equations
Fall Semester 2017
Worksheet 01
Differentiation Review
1. Compute
d
(i)
cos(x) sin(x)
dx
d
(ii)
ln(cos t )
dt
d w2 5
(iii)
.
d w sin w
2. Calculate t
Introduction to Linear Algebra and Differential Equations
MATH 24

Spring 2014
MATH 24: Linear Algebra & Differential Equations
Fall Semester 2017
(Extra Credit) Homework Assignment #1
Due: Wednesday, August 30 at noon
Part I. Our course begins with discussion of techniques for
Introduction to Linear Algebra and Differential Equations
MATH 24

Spring 2014
MATH 24: Linear Algebra & Differential Equations
Fall Semester 2017
Homework Assignment #7
Due: Wednesday, October 11 by noon
Part I. Problems from the book.
Section 3.2: 24, 27, 28, 34,66,67.
Part I
Introduction to Linear Algebra and Differential Equations
MATH 24

Spring 2014
MATH 24: Linear Algebra & Differential Equations
Fall Semester 2017
Worksheet 02
1.2 Solutions & Direction Fields: Qualitative Analysis
(1) Verify that y(x) = 3x + x 2 is a solution of the differentia
Introduction to Linear Algebra and Differential Equations
MATH 24

Spring 2014
MATH 24: Linear Algebra & Differential Equations
Fall Semester 2017
Homework Assignment #4
Due: Wednesday, September 20 by noon
Part I. Problems from the book.
Section 2.1: Problems 26, 27, 28
Secti
Introduction to Linear Algebra and Differential Equations
MATH 24

Spring 2014
MATH 24: Linear Algebra & Differential Equations
Fall Semester 2017
Homework Assignment #3
Due: Wednesday, September 13 by noon
Part I. Problems from the book.
Section 1.4: #4, 5, 12, and 15 on p. 43
Introduction to Linear Algebra and Differential Equations
MATH 24

Spring 2014
MATH 24: Linear Algebra & Differential Equations
Fall Semester 2017
Homework Assignment #2
Due: Wednesday, September 6 at noon
Part I. These are problems from the book. For Sec. 1.2, you may use the w
Introduction to Linear Algebra and Differential Equations
MATH 24

Spring 2014
MATH 24: Linear Algebra & Differential Equations
Fall Semester 2017
Homework Assignment #9
Due: Wednesday, October 25 by noon
Part I. Problems from the book.
Section 3.4: Problems 2, 5, 6, 13, 15, 18