DCO10111 Basic Calculus and Linear Algebra
Tutorial 3: Getting Started in Octave
Division of Computer Studies, Community College of City University
Lecturer: Desmond Yau-Chat TSOI
desmond.tsoi@cityu.edu.hk
Semester A
Lecture notes are based on textbook an
DCO10111 Basic Calculus and Linear Algebra
Tutorial 1: Suggested Solutions
Division of Computer Studies, Community College of City University
Lecturer: Desmond Yau-Chat TSOI
desmond.tsoi@cityu.edu.hk
Semester A
The use of this note is solely for academic
DCO10111 Basic Calculus and Linear Algebra
Tutorial 10: Dierentiation and Applications
(Week 13: 21 - 25 November 2011)
Name:
Student ID:
Tutorial Section:
Mark:
Aims of this tutorial: (1) to give you more idea about how to nd derivative of function (i.e.
DCO10111 Basic Calculus and Linear Algebra
Tutorial 7: Determinants, Inverse and System of Linear Equations
(Week 9: 24 - 28 October 2011)
Name:
Student ID:
Tutorial Section:
Mark:
Aims of this tutorial: (1) to give you more idea about determinants and in
DCO10111 Basic Calculus and Linear Algebra
Tutorial 9: Limit of Function and Continuity
(Week 12: 14 - 18 November 2011)
Name:
Student ID:
Tutorial Section:
Mark:
Aims of this tutorial: (1) to give you more idea about limit of function and its continuity,
DCO10111 Basic Calculus and Linear Algebra
Tutorial 8: Real Numbers and Functions
(Week 11: 7 - 11 November 2011)
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Student ID:
Tutorial Section:
Mark:
Aims of this tutorial: (1) to give you more idea about real numbers and functions of single
variabl
DCO10111 Basic Calculus and Linear Algebra
Tutorial 6: Matrices and Determinants
(Week 8: 17 - 21 October 2011)
Name:
Student ID:
Tutorial Section:
Mark:
Aims of this tutorial: (1) to give you more idea about matrices and determinants, and (2)
give you ha
DCO10111 Basic Calculus and Linear Algebra
Tutorial 5: Representations of Complex Numbers and its Arithmetic
(Week 7: 10 - 14 October 2011)
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Student ID:
Tutorial Section:
Mark:
Aims of this tutorial: (1) to give you more idea about dierent representa
DCO10111 Basic Calculus and Linear Algebra
Tutorial 4: Vector Equations and Complex Numbers
(Week 6: 3 - 7 October 2011)
Name:
Student ID:
Tutorial Section:
Mark:
Aims of this tutorial: (1) to give you more idea about vector equations of lines and planes,
DCO10111 Basic Calculus and Linear Algebra
Tutorial 2: Vector Algebra (Week 4: 19 - 23 September 2011)
Name:
Student ID:
Tutorial Section:
Mark:
Aims of this tutorial: (1) to further reinforce your concept of vectors, and (2) give you handson practice on
DCO10111 Basic Calculus and Linear Algebra
Tutorial 1: Vector Fundamentals (Week 2: 5 - 9 September 2011)
Name:
Student ID:
Mark:
Aims of this tutorial: (1) reinforce what you have learnt about vectors last week, and (2)
give you hands-on practice on how
Basic Calculus and Linear Algebra
Matrix
and
System of Linear Equations
Adopted from : Dr. Desmond Tsoi
Edited by
: K.K. Tang
Matrix
upper triangular
lower triangular
For two matrices of equal size
For two matrices of equal size
for i = 1, , m
and j = 1,
Basic Calculus and Linear Algebra
Complex Numbers
Adopted from : Dr. Desmond Tsoi
Edited by
: K.K. Tang
If c and d are not both zero, then
If z1 = (r1 , 1) and
z2 = (r2 , 2)
Given z1 = r1(cos1 + isin1)
z2 = r2(cos2 + isin2)
When a 0 , i.e. when z is not p
The Slope of a Line
1
The Slope of a Line
The slope of a nonvertical line is a measure of the number
of units the line rises (or falls) vertically for each unit of
horizontal change from left to right.
Consider the two points
(x1, y1) and (x2, y2) on the
Solution of Tutorial
on
Vector Algebra
(Adopted from Dr. Desmond Tsoi / Edited by K.K. Tang)
Vector Algebra - Q1
Vector Algebra Q2
Two vectors are different when they do not have
both the same magnitude and direction.
Vector Algebra Q3
Vector Algebra Q4
V
Tutorial
on
Complex Number
(Adopted from Dr. Desmond Tsoi / Edited by K.K. Tang)
Submission Instructions
1.Use blank A4 sheets to write your answers.
2.Write your answers clearly and neatly.
3.Label your answers with the corresponding question numbers.
4.
Tutorial
on
Vector Algebra
(Adopted from Dr. Desmond Tsoi / Edited by K.K. Tang)
Submission Instructions
1.Use blank A4 sheets to write your answers.
2.Write your answers clearly and neatly.
3.Label your answers with the corresponding question numbers.
4.
Tutorial
on
Vector Algebra, Complex Numbers, and
Matrix & System of Linear Equations
(Adopted from Course Textbook/ Edited by K.K. Tang)
Submission Instructions
1. Use blank A4 sheets to write your answers.
2. Write your answers clearly and neatly. Show w
Solution of Tutorial
on
Complex Numbers
(Adopted from Dr. Desmond Tsoi / Edited by K.K. Tang)
Complex Number Q1
Complex Number Q1
Complex Number Q2
Complex Number Q3
Complex Number Q3
Complex Number Q3
Complex Number Q4
Complex Number Q4
Complex Number Q5
Tutorial
on
Complex Numbers (Set 1)
(Adopted from Course Textbook by Larson)
Submission Instructions
1.Use blank A4 sheets to write your answers.
2.Write your answers clearly and neatly.
3.Label your answers with the corresponding question numbers.
4.Numb
DCO10111 Basic Calculus and Linear Algebra
Practice Problem Set 5:
Dierentiation and Applications
Suggested Solution
Aims of this practice problem set:
(1) Reinforce what you have learnt about dierentiation and its applications during the
last few lecture
DCO10111 Basic Calculus and Linear Algebra
Practice Problem Set 6:
Integration and Applications
Suggested Solution
Aims of this practice problem set:
(1) Reinforce what you have learnt about integration and its applications during the
last few lectures, a
DCO10111 Basic Calculus and Linear Algebra
Practice Problem Set 6:
Integration and Applications
Aims of this practice problem set:
(1) Reinforce what you have learnt about integration and its applications during the
last few lectures, and
(2) Give you han
DCO10111 Basic Calculus and Linear Algebra
Practice Problem Set 4:
Functions, Limit and Continuity
Suggested Solution
Aims of this practice problem set:
(1) Reinforce what you have learnt about functions, limit and continuity during the last
few lectures,
DCO10111 Basic Calculus and Linear Algebra
Practice Problem Set 5:
Dierentiation and Applications
Aims of this practice problem set:
(1) Reinforce what you have learnt about dierentiation and its applications during the
last few lectures, and
(2) Give you
DCO10111 Basic Calculus and Linear Algebra
Practice Problem Set 4:
Functions, Limit and Continuity
Aims of this practice problem set:
(1) Reinforce what you have learnt about functions, limit and continuity during the last
few lectures, and
(2) Give you h
DCO10111 Basic Calculus and Linear Algebra
Practice Problem Set 2: Complex Numbers
Suggested Solution
Aims of this practice problem set:
(1) Reinforce what you have learnt about complex numbers during the last few lectures,
and
(2) Give you hands-on pract
DCO10111 Basic Calculus and Linear Algebra
Practice Problem Set 3:
Matrix, Determinants & System of Linear Equations
Suggested Solution
Aims of this practice problem set:
(1) Reinforce what you have learnt about matrix, determinants and system of linear
e