CECS Professional Skills Mapping
MATH1116 — Advanced Mathematics and Applications 2
Note: information provided here is indicative only. For full and current course information view the official page on P&C.
code:  MATH1116 

name:  Advanced Mathematics and Applications 2 
unit value:  6 
description:  This course continues on from MATH1115, providing an indepth development of fundamental concepts of calculus and linear algebra, with a particular emphasis on the underlying foundations of mathematics. The use and understanding of proof and abstract ideas will allow students to develop analytical skills which will form a base for further study in fundamental mathematics, as well as providing a foundation for a wide range of quantitative areas such as actuarial studies, computer science, economics, engineering, physics and statistics. Topics to be covered include: Calculus/Analysis  short introduction to metric spaces in the context of the calculus of functions of several variables, generalisation of the real analysis theory studied in MATH1115 to multivariable functions including limits and continuity, double integrals, Fubini's theorem, integrability of continuous functions, partial derivatives, gradients and directional derivatives, differentiation of multivariable functions, extreme values, vector functions, curves and parametrisations, infinite series, convergence tests, power series, Taylor series; Linear Algebra – subspaces, span, linear independence, bases and dimension, linear maps, duality, eigenvalues and eigenvectors, inner product spaces, GramSchmidt orthogonalisation, operators on inner product spaces, the spectral theorem in finite dimensions, singular value decomposition. 
P&C:  https://programsandcourses.anu.edu.au/course/MATH1116 
course learning outcomes: 

assessment: 

Mapped learning outcomes
learning outcome  1. KNOWLEDGE AND SKILL BASE  2. ENGINEERING APPLICATION ABILITY  3. PROFESSIONAL AND PERSONAL ATTRIBUTES  assessment tasks  

1.1  1.2  1.3  1.4  1.5  1.6  2.1  2.2  2.3  2.4  3.1  3.2  3.3  3.4  3.5  3.6  1  2  3  
 ✓  ✓  ✓  ✓  ✓  ✓  
 ✓  ✓  ✓  ✓  ✓  ✓  
 ✓  ✓  ✓  ✓  ✓  ✓  ✓  
 ✓  ✓  ✓  ✓  ✓  ✓ 
Course contribution towards the Engineers Australia Stage 1 Competency Standard
This table depicts the relative contribution of this course towards the Engineers Australia Stage 1 Competency Standard. Note that this illustration is indicative only, and may not take into account any recent changes to the course. You are advised to review the official course page on P&C for current information..
1. KNOWLEDGE AND SKILL BASE  
1.1 

1.2 

1.3 

1.4  
1.5  
1.6  
2. ENGINEERING APPLICATION ABILITY  
2.1  
2.2  
2.3  
2.4  
3. PROFESSIONAL AND PERSONAL ATTRIBUTES  
3.1  
3.2  
3.3  
3.4 

3.5 

3.6 
Engineers Australia Stage 1 Competency Standard — summary
1. KNOWLEDGE AND SKILL BASE  

✓  1.1  Comprehensive, theory based understanding of the underpinning natural and physical sciences and the engineering fundamentals applicable to the engineering discipline. 
✓  1.2  Conceptual understanding of the, mathematics, numerical analysis, statistics, and computer and information sciences which underpin the engineering discipline. 
✓  1.3  In depth understanding of specialist bodies of knowledge within the engineering discipline. 
1.4  Discernment of knowledge development and research directions within the engineering discipline.  
1.5  Knowledge of contextual factors impacting the engineering discipline.  
1.6  Understanding of the scope, principles, norms, accountabilities and bounds of contemporary engineering practice in the engineering discipline.  
2. ENGINEERING APPLICATION ABILITY  
2.1  Application of established engineering methods to complex engineering problem solving.  
2.2  Fluent application of engineering techniques, tools and resources.  
2.3  Application of systematic engineering synthesis and design processes.  
2.4  Application of systematic approaches to the conduct and management of engineering projects.  
3. PROFESSIONAL AND PERSONAL ATTRIBUTES  
3.1  Ethical conduct and professional accountability.  
3.2  Effective oral and written communication in professional and lay domains.  
3.3  Creative, innovative and proactive demeanour.  
✓  3.4  Professional use and management of information. 
✓  3.5  Orderly management of self, and professional conduct. 
3.6  Effective team membership and team leadership. 