BE101 - Engineering Mathematics

Credit Points: 15 credit points

Workload: 48 hours

Prerequisite: N/A

Co-requisite: N/A

Aims & Objectives

This is a core unit out of a total of 24 units in the Bachelor of Engineering Technology (Telecommunications) BEngTech (Tel). This unit addresses the appropriate BEngTech (Tel) course learning outcomes and builds mathematical foundations for other units in the course. For further information on the course please refer to: http://www.mit.edu.au/study-with-us/programs/bachelor-engineering-technology-telecommunications.
One of the necessary skills required of engineers is the ability to use mathematical principles to solve engineering problems. Every basic engineering design and analysis apply mathematical principles. Thus, the aim of this unit is to enable students to acquire mathematical tools in linear algebra required to solve engineering related problems. The mathematical skills acquired in this unit will be utilised in other units in the course.
This unit will cover the following topics:

  • Functions and graphs
  • Linear functions and equations involving linear functions
  • Nonlinear functions and equations involving nonlinear functions
  • Exponential and logarithmic functions
  • Trigonometric functions and identities
  • Vectors and matrices (incl. determinants)
  • Sampling and descriptive statistics
  • Probability
  • Propagation of error
  • Commonly used distributions in communication channels

Learning Outcomes

At the completion of this unit students are expected to be able to:
a. Demonstrate the possessing of analytical and problem-solving skills in the context of applying linear algebra to solve engineering problems;
b. Apply linear algebra in the engineering context;
c. Analyse and solve a pre-calculus level problems using analytic methods in linear algebra
d. Communicate effectively using mathematical language;
e. Solve a broad range of problems in linear algebra;
f. Apply MATLABTM software to solve linear algebra problems applicable in telecommunications engineering.

Weekly Topics

This unit will cover the content below:

Week # Topic Laboratory/Tutorial Reading
1 Introduction to Functions and Graphs Introduction to MATLAB and Functions and Graphs Chapter 1,3 Textbook
2 Linear Functions and Equations Use MATLAB to fit linear models to data Chapter 2,4 Textbook
3 Quadratic Functions and Equations Use MATLAB to solve Quadratic Functions Chapter 5 Textbook
4 Polynomial Functions Use MATLAB to solve engineering-related equations involving polynomial functions Chapter 5 of Textbook
5 Exponential and Logarithmic Functions Use MATLAB to solve engineering-related polynomial functions Chapter 6 of Textbook
6 Trigonometric Functions Use MATLAB to solve engineering related trigonometric functions Chapter 7,9 of Textbook
7 Vectors and matrices (incl. determinants) Use MATLAB to solve engineering-related matrices/ vector equations Refer to lecture notes
8 Systems of Linear equations and Inequalities Use MATLAB to solve engineering-related linear equations Chapter 11 of Textbook
9 Sampling and descriptive statistics Use MATLAB to solve engineering-related probability problems Refer to lecture notes
10 Probability Use MATLAB to solve engineering related probability problems Chapter 13 Textbook
11 Propagation of errors, Commonly used distributions in communication channels Use MATLAB to solve engineering related probability problems Refer to lecture notes
12 Review Review  

Assessment

Assessment Task Release Date Due Date A B Learning Outcomes Assessed
Class Participation and Contribution Each week in Lab Each week in Lab 10%   a-f
Individual Formative Assignment 1 Week 1 Week 3 08/04/2022 5%   b,c
In-Class Test During the lab session Week 6   10% a-d
Assignment 2 (Groups of 2-3 students) Week 7 Week 11 03/06/2022 25%   a-f
Final Examination (2 hours)       50% a,b,d
TOTALS     40% 60%  

Task Type: Type A: unsupervised, Type B: supervised.

Class Participation and Contribution
This unit has class participation and student contribution as an assessment. The assessment task and marking rubric will follow the Guidelines on Assessing Class Participation (https://www.mit.edu.au/about-us/governance/institute-rules-policies-and-plans/policies-procedures-and-guidelines/Guidelines_on_Assessing_Class_Participation). Further details will be provided in the assessment specification on the type of assessment tasks and the marking rubrics.
Presentations (if applicable)
For presentations conducted in class, students are required to wear business attire.

Textbook and Reference Materials

Note: Students are required to purchase the prescribed textbook and have it available each week in class.
Text Book:

  • J. Abramson, Algebra and Trigonometry (2nd Ed.). Houston, TX, USA: OpenStax.
  • [Online]. Available: https://openstax.org/details/books/algebra-and-trigonometry-2e?Book%20details
  • References:
  • Stroud, K. A. (2007). Engineering Mathematics (6th Ed). Industrial Press Inc.
  • Gary K. Rockswold, Algebra and Trigonometry with Modeling & Visualization, 6 ed., 2018, Pearson
  • Bird, J. (2007). Engineering Mathematics (5th Ed). Newnes.
  • James, G. (2007). Modern Engineering Mathematics (4th Ed). Prentice Hall
  • Riley, K. F. (2006). Mathematical Methods for Physics and Engineering: A Comprehensive Guide. Cambridge University Press
  • Bird, J. (2005). Basic Engineering Mathematics (4th Ed). Newnes.
  • American Institute of Mathematics, Approved open-source or open-access textbooks:http://aimath.org/textbooks/approved-textbooks/

Internet references:

Adopted Reference Style: IEEEE (Information can be found in MIT library referencing)

Graduate Attributes

MIT is committed to ensure the course is current, practical and relevant so that graduates are “work ready” and equipped for life-long learning. In order to accomplish this, the MIT Graduate Attributes identify the required knowledge, skills and attributes that prepare students for the industry.
The level to which Graduate Attributes covered in this unit are as follows:

Ability to communicate Independent and Lifelong Learning Ethics Analytical and Problem Solving Cultural and Global Awareness Team work Specialist knowledge of a field of study

Legend

Levels of attainment Extent covered
The attribute is covered by theory and practice, and addressed by assessed activities in which the students always play an active role, e.g. workshops, lab submissions, assignments, demonstrations, tests, examinations.
The attribute is covered by theory or practice, and addressed by assessed activities in which the students mostly play an active role, e.g. discussions, reading, intepreting documents, tests, examinations.
The attribute is discussed in theory or practice; it is addressed by assessed activities in which the students may play an active role, e.g. lectures and discussions, reading, interpretation, workshops, presentations.
The attribute is presented as a side issue in theory or practice; it is not specifically assessed, but it is addressed by activities such as lectures or tutorials.
The attribute is not considered, there is no theory or practice or activities associated with this attribute.