QCF257 Advanced Mathematics 2

Unit Outline: College 1 2027, Kelvin Grove, Internal

Overview

Studying mathematics is a way to develop your thinking and problem-solving skills through observation, reflection and logical reasoning. QCF257 Advanced Mathematics 2 focusses on topics that are the basis for developing effective models of the world and solving complex and abstract mathematical problems. This unit provides learning opportunities that focus on: describing and analysing phenomena involving uncertainty and variation, developing an understanding of the physical world, and representing information in a variety of ways. Through solving problems and developing models, you will develop mathematical skills that are critically important in the 21st century.

Learning Outcomes

On successful completion of this unit you will be able to:

1. Select, recall and use facts, rules, definitions and procedures drawn from algebra, functions, relations and their graphs, calculus and statistics (CLO1, CLO6)
2. Comprehend mathematical concepts and techniques drawn from algebra, functions, relations and their graphs, calculus and statistics (CLO1)
3. Communicate using mathematical and statistical terminology, symbols and conventions (CLO3)
4. Solve problems by applying mathematical concepts and techniques (CLO2)
5. Evaluate the reasonableness of solutions (CLO2)
6. Justify procedures and decisions by explaining mathematical reasoning (CLO2)

Content

Learning Approaches

In QCF257 Advanced Mathematics 2 you will learn through a problem-based approach and skill development tasks. The unit uses an approach to problem solving and mathematical modelling which moves through the following stages:
1. Formulate
2. Solve
3. Evaluate and verify
4. Communicate
This approach assists you to develop an ability to transfer mathematical skills and ideas between different contexts. In addition, there is a focus on discussion, collaboration and reflection of ideas.
Technology is used to make connections between mathematical theory, practice and application to improve your conceptual understanding.
This unit combines explicit teaching of mathematical rules, definitions and procedures with learning opportunities in which you must apply the knowledge and skills. The learning experiences in this unit rely on mathematical tasks drawn from a variety of real world situations. These opportunities encourage you to recognise the usefulness of mathematics through its application.

Feedback on Learning and Assessment

Students will receive feedback in various forms throughout the semester which may include:
• Informal: worked examples, such as verbal feedback in class, personal consultation
• Formal: in writing, such as checklists, rubrics, written commentary
• Direct: to individual students, either in written form or in consultation
• Indirect: to the whole class

Assessment

Overview

QCF257 Advanced Mathematics 2 has three summative assessments: an assignment and two examinations. Formative assessment will support your learning by giving you an opportunity to practice tasks and learn from feedback before completing them for marking purposes. Formative assessment will also be applied to classroom tasks to check for completion, understanding and learning progression.

NOTE: Modification to assessment may be required based on mode of study.

Unit Grading Scheme

7- point scale

Assessment Tasks

Assessment: Mid-Semester Examination

This examination will assess the concepts and techniques taught in the first part of the unit.
In Part A you will demonstrate your knowledge of procedures and comprehension of concepts by showing detailed workings for short response questions.
In Part B you will solve mathematical problems, usually in real-life contexts, and justify your solutions.

The use of generative artificial intelligence (GenAI) tools is prohibited during this assessment.

Assessment: Problem Solving Assignment

In Part A you will build on the retrieval, comprehension and analysis tasks taught in class by using your knowledge to solve unfamiliar problems. You will research a new mathematical method (not given in class) and apply it to solve mathematical problems.
In Part B you will apply the new method to solve an unfamiliar, real world problem and appraise the strengths and limitations of the method.

Parts A and B are eligible for the 48-hour late submission period and assignment extension.

The ethical and responsible use of generative artificial intelligence (GenAI) tools is authorised in this assessment. See the relevant assessment details in Canvas for specific guidelines.

Assessment: Final Examination

This examination will assess the concepts and techniques taught in the second part of the unit.

In Part A you will demonstrate your knowledge of procedures and comprehension of concepts by showing detailed workings for short response questions. In Part B you will solve mathematical problems, usually in real-life contexts, and justify your solutions.

The use of generative artificial intelligence (GenAI) tools is prohibited during this assessment.

Academic Integrity

Academic integrity is a commitment to undertaking academic work and assessment in a manner that is ethical, fair, honest, respectful and accountable.

The Academic Integrity Policy sets out the range of conduct that can be a failure to maintain the standards of academic integrity. This includes, cheating in exams, plagiarism, self-plagiarism, collusion and contract cheating. It also includes providing fraudulent or altered documentation in support of an academic concession application, for example an assignment extension or a deferred exam.

You are encouraged to make use of QUT’s learning support services, resources and tools to assure the academic integrity of your assessment. This includes the use of text matching software that may be available to assist with self-assessing your academic integrity as part of the assessment submission process.

Breaching QUT’s Academic Integrity Policy or engaging in conduct that may defeat or compromise the purpose of assessment can lead to a finding of student misconduct (Code of Conduct – Student) and result in the imposition of penalties under the Management of Student Misconduct Policy, ranging from a grade reduction to exclusion from QUT.

Resources

Risk Assessment Statement

There are no out-of-the-ordinary risks associated with this unit.

Course Learning Outcomes

QC08 Standard Foundation Program

1. Demonstrate and apply theoretical, conceptual and/or technical knowledge based on the discipline of study
   Relates to: Mid-Semester Examination, Problem Solving Assignment, Final Examination
2. Apply critical, creative and analytical thinking and effective problem solving in a range of contexts
   Relates to: Mid-Semester Examination, Problem Solving Assignment, Final Examination
3. Model ethical and culturally responsible behaviour and self-regulated academic practice
   Relates to: Problem Solving Assignment