MAT1102 Algebra & Calculus I Assignment 2
Value: 15%. Due Date: Monday 18 April 2016.
Important: Answer the Short Answer Questions in the space
next to or below the question. Do the Full Answer Questions on
other paper.
Submit all pages under your barcod
Assignment 1 due 14 March 2016
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Assignment 1 due 14 March 2016
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Algebra & Calculus I
Worked examples
Week 1
Algebra
4.2.6, Exercise 3. The resultant force acting on P is the sum of all forces
that act on P. Therefore, we have F = F1 + F2 + F3 + F4 , or in a vector form
F = 3~i 2~j + 5~k ~i + 7~j 3~k + 5~i ~j + 4~k 2~j
Calculus
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Applications in Maths, Engineering,
Business, Sciences:
Texts & Readings
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Ch 1,2,7,8 James 4th Edn
Ch 46 Study Book
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Matlab Basics
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Operators: +, , *, /, ^
is pi
Functions: find out about sin(x) help sin
Plotting: plot(x,y)
Defining a d
Linear and quadratic functions
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4
4
fx =
fx = 2x+4
1
2
x+3
2
2
2
2
4
4
Linear functions properties
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f ( x) mx c
f ( x1 ) f ( x0 )
rate of change
m the slope of the graph
x1 x0
The slope is constant
Two lines are perpendicular if and only if
S
Scalar Product & Projections
1.1.5 Study Book + 4.2.7. Text
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What & Why?

Scalar or Dot Product is a single number that holds
information about the angle between 2 vectors.
We can use it to find that angle or to calculate
lengths;
And to test for
Student name:
Barcode on the examination
Student number:
answer booklet
University of Southern Queensland
Faculty of Sciences
Course Code: MAT1102
Course Name: Algebra & Calculus I, End of Semester 1, 2011
Mid Semester Exam
End Semester Exam Deferred Exam
MAT1102 Algebra & Calculus I Assignment 3 Solutions
Short Answer Questions
Question 1.
(a) B is 6 1 and AB is 5 1;
(b) A is 5 5;
(c) B is 6 5.
Question 2.
(a) det(B) = 0. The fourth row is a multiple of the second row. R4 = 2R2 .
(b) det(C) = 48 (triangul