ENGINEERING MATHEMATICS I, 2015
TUTORIAL 3: CONTINUITY AND DIFFERENTIALS
This tutorial consists of two main parts. First part is on the continuity. Second part is on basic notions of the
derivative and its applications.
Date: February 22, 2015.
Detaile

MA1311 Problem set M6
These problems are intended to provide a basic understanding about topics; eigenvalues, eigenvectors, eigenspaces, dimension of eigenspaces, and their applications.
[1] (a) Find all the eigenvalues of A. Corresponding to each eigenva

MA1310 Tutorial S3
These problems are intended to provide a basic understanding about topics covered in lesson 4 and
5; probability distributions for continuous random variables, probability density functions, cumulative distribution functions, expected v

MA1311 Problem set S2
These problems are intended to provide a basic understanding about topics covered in lesson 2 and
3; probability distributions for discrete random variables, probability mass functions, cumulative
distribution functions, expected val

MA1311 Problem set M2
These problems are intended to provide a basic understanding about topics; vector spaces, norm,
inner product, subspaces, linear combinations, span, linear dependence, linear independence, basis,
and dimension.
[1] Recall that
Rn = c

MA1311 Problem set M1
These problems are intended to provide a basic understanding about topics; vectors, geometrical
representation of vectors, vector addition, scalar multiplication, dot product, norm of a vector, angle
between two vectors, projections,

MA1311 Problem set M7
These problems are intended to provide a basic understanding about topics; Linear transformations
and their applications.
[1] Determine whether each transformation is linear.
(a) T [(x, y)] = (sin x, x + y), (x, y) <2
(b) T [(x, y)]

5 Systems of linear equations
5.0 Introduction
A linear equation is an polynomial equation of degree one. (I.e., each term is a constant or a
product of a constant and a single variable of power one.) A nonlinear equation is an equation
which is not line

MA1311 Problem set S1
These problems are intended to provide a basic understanding about topics covered in lesson 1; random experiments, outcomes, random variables, discrete random variables, and continuous random
variables.
[1] A concrete beam may fail e

4 Matrices
4.0 Applications of Matrices
Solving systems of linear equations
Solving eigenvalue problems
Linear transformations
Probability ans statistics
4.1 An Introduction to Matrices
A matrix (plural matrices) is a rectangular array of mathematical

MA1311 Tutorial S4
These problems are intended to provide a basic understanding about topics; linear regression analysis (least
square line), correlation coefficient, and coefficient of determination.
[1] The article Exhaust Emissions from Four-Stroke Law

1 Complex Numbers
1.1 Definition: A complex number
A complex number zis a number that can be written in the form z = a + bi where a and b are
real numbers and i := 1. This form is known as the standard form or Cartesian form of
z, a is the real part of z,

MA230 - Problem set 3 (part ii) Triple Integrals
These problems are intended to provide a basic understanding about topics; triple integrals, estimating triple integrals, evaluating iterated integrals, cylindrical coordinates, spherical coordinates,
evalu

MA230 - Problem set 2 (Fourier Theory)
These problems are intended to provide a basic understanding about odd and even functions,
periodicity, Fourier series, convergence, half range expansions, exponential form, Fourier transform,
and its properties.
[1]

ENGINEERING MATHEMATICS I, 2015
TUTORIAL 1: ENGINEERING FUNCTIONS
Abstract.
This tutorial is designed to get you familiarized with some useful (mainly hyperbolic) functions.
Date: January 30, 2015.
Detailed work, clearly and neatly done, should be subm

ENGINEERING MATHEMATICS I, 2015
TUTORIAL 6: INTEGRATION. APPLICATIONS AND NUMERICAL METHODS
Abstract.
This tutorial is focused on applications of integrations and basic concepts of numerical methods in integration.
Date: April 17, 2015.
Detailed work o

ENGINEERING MATHEMATICS I, 2015
TUTORIAL 6: SEQUENCE AND SERIES
Abstract.
This tutorial covers Sequence and Series.
Date: May 4, 2015.
Detailed work of assigned problems, clearly and neatly done, should be submitted during your tutorial.
Due date: To

ENGINEERING MATHEMATICS I, 2015
TUTORIAL 2: LIMITS: CONCEPTS AND COMPUTATIONS
This tutorial is designed to get you familiarized with basic notions of limit, applications of limits and computations of limits.
Date: February 8, 2015.
Detailed work of ass

ENGINEERING MATHEMATICS I, 2015
TUTORIAL 4: DIFFERENTIATION
Abstract.
This tutorial covers basic topics in differentiation.
Date: March 1, 2015.
Detailed work of assigned problems, clearly and neatly done, should be submitted during your tutorial.
Due

ENGINEERING MATHEMATICS I, 2015
TUTORIAL 5: INTEGRATION
Abstract.
This tutorial covers integration.
Date: April 6, 2015.
Detailed work of assigned problems, clearly and neatly done, should be submitted during your tutorial.
Due date: To be communicate

MA230 Assignment 1 (March 6)
INSTRUCTIONS:
Answer all the question. (All or only a selected number of question will be graded.)
Write answers clearly, in an organized manner, with justifications, and showing all your work.
This is due on Monday, March

MA230-Problem set 4 (Vector Calculus)
These problems are intended to provide a basic understanding about topics covered in differential
and integral vector calculus lessons; scalar fields, vector functions, vector fields, gradient, directional
derivative,

MA230 Assignment 2 (April 07)
INSTRUCTIONS:
Answer all the question. (All or only a selected number of question will be graded.)
Write answers clearly, in an organized manner, with justifications, and showing all your work.
This is due on Tuesday, Apri

MA230 - Problem set 3 (part i) Double Integrals
These problems are intended to provide a basic understanding about topics; double integrals, estimating double integrals, evaluating iterated integrals, evaluating double integrals using polar
coordinates, v

MA2301 Problem set 1 (Laplace transform)
These problems are intended to provide a basic understanding about Laplace transform, its properties, and applications.
[1] Determine each function is of exponential order.
(b) f (t) = sinh(t2 )
(a) f (t) = sinh t