MTH104 Introductory Calculus

What is this course about?

Description

This course is designed to ensure you have the essential working knowledge for problem-solving in basic calculus to support mathematics topics in science and engineering. You will develop the technical skills needed for differentiation, integration and their applications, as well as several techniques for solving first order differential equations through applications.

How will this course be delivered?

Course Topics

Am I eligible to enrol in this course?

Refer to the UniSC Glossary of terms for definitions of “pre-requisites, co-requisites and anti-requisites”.

Pre-requisites

Not applicable

Co-requisites

Not applicable

Anti-requisites

MTH202

Specific assumed prior knowledge and skills (where applicable)

Senior Mathematics A, B or C or equivalent is recommended. It is assumed you can add, subtract, multiply and divide real numbers by hand and by calculator as appropriate; use general algebraic techniques (such as simplification and factorisation, rearranging equations, solving an equation to determine the value of one variable); and can solve problems in elementary geometry and trigonometry.

How am I going to be assessed?

Grading Scale

Standard Grading (GRD)

Details of early feedback on progress

Students will have a lot of extra in-class support over the first few weeks of the semester, during which tutors will keep an eye out for difficulties and provide feedback and suggestions for good learning practices. Short, in-class preparedness quizzes (formative) will be run in weeks 1 and 2 to help students determine their level of preparedness for the course, and to help them make informed decision regarding their approach to, or continuation in, this course. The first module test will be run in week 3, which will provide students with an early indication regarding their progress (and study habits!).

Assessment tasks

1 week, every week. Each week's summary and problems will be designed to be completed with approximately 2-4 hours of dedicated work, depending on how well the student has assimilated the concepts and methods.

30-60 minutes

Completed over 7 weeks

Directed study hours

A 12-unit course will have total of 150 learning hours which will include directed study hours (including online if required), self-directed learning and completion of assessable tasks. Student workload is calculated at 12.5 learning hours per one unit.

Schedule

Module 1 (2weeks)

Introduction to a mathematical interpretation of change.

Module 2 (4 weeks)

Techniques for differentiation and applications.

Module 3 (3 weeks)

Techniques for integration and applications.

Module 4 (3 weeks)

Techniques for solving simple differential equations through applications; Introduction to complex numbers.

Week 13

Course overview and revision.

What resources do I need to undertake this course?

Please note: Course information, including specific information of recommended readings, learning activities, resources, weekly readings, etc. are available on the course Canvas site– Please log in as soon as possible.

Prescribed text(s) or course reader

Please note that you need to have regular access to the resource(s) listed below. Resources may be required or recommended.

Specific requirements

It is recommended that you possess a good quality scientific hand-calculator. You will not require a graphics, programmable or CAS calculator for this course.
On your entry to MTH104, it will be assumed that you have completed high-school Mathematical Methods (previously Maths B) or equivalent, and so should have a reasonable ability and knowledge for basic numeracy, variables, simple algebraic manipulations (rearranging equations, solving for a variable etc), solving pairs of linear equations, graphing on an x-y axis system, converting between polar coordinates and Cartesian coordinates (and vice-versa), the meaning of "slope", the basic functions for trigonometry (sin, cos, tan), exponents, logarithms, and polynomials (eg, straight lines, quadratics). You should also have some knowledge and understanding of important topics including Pythagoras' equation, sine and cosine rules, and basic geometry (angles, areas etc). 
Although it is assumed that you will have previously covered these topics, for the first five weeks of semester, there will be one extra hour attached to each tutorial to help you revise and master these essential foundations that are needed in order to enjoy and be successful in MTH104.

What administrative information is relevant to this course?

Assessment: Academic Integrity

Academic integrity is the ethical standard of university participation.  It ensures that students graduate as a result of proving they are competent in their discipline.  This is integral in maintaining the value of academic qualifications. Each industry has expectations and standards of the skills and knowledge within that discipline and these are reflected in assessment.

Academic integrity means that you do not engage in any activity that is considered to be academic fraud; including plagiarism, collusion or outsourcing any part of any assessment item to any other person.  You are expected to be honest and ethical by completing all work yourself and indicating in your work which ideas and information were developed by you and which were taken from others. You cannot provide your assessment work to others. You are also expected to provide evidence of wide and critical reading, usually by using appropriate academic references.

In order to minimise incidents of academic fraud, this course may require that some of its assessment tasks, when submitted to Canvas, are electronically checked through Turnitin.  This software allows for text comparisons to be made between your submitted assessment item and all other work to which Turnitin has access.

Assessment: Additional Requirements

Your eligibility for supplementary assessment in a course is dependent of the following conditions applying:

The final mark is in the percentage range 47% to 49.4%
The course is graded using the Standard Grading scale
You have not failed an assessment task in the course due to academic misconduct

Assessment: Submission penalties

Late submission of assessment tasks may be penalised at the following maximum rate: 
- 5% (of the assessment task's identified value) per day for the first two days from the date identified as the due date for the assessment task. 
- 10% (of the assessment task's identified value) for the third day - 20% (of the assessment task's identified value) for the fourth day and subsequent days up to and including seven days from the date identified as the due date for the assessment task. 
- A result of zero is awarded for an assessment task submitted after seven days from the date identified as the due date for the assessment task. Weekdays and weekends are included in the calculation of days late. To request an extension you must contact your course coordinator to negotiate an outcome.

SafeUniSC

UniSC is committed to a culture of respect and providing a safe and supportive environment for all members of our community. For immediate assistance on campus contact SafeUniSC by phone: 07 5430 1168 or using the SafeZone app. For general enquires contact the SafeUniSC team by phone 07 5456 3864 or email safe@usc.edu.au.

The SafeUniSC Specialist Service is a Student Wellbeing service that provides free and confidential support to students who may have experienced or observed behaviour that could cause fear, offence or trauma. To contact the service call 07 5430 1226 or email studentwellbeing@usc.edu.au.

Study help

For help with course-specific advice, for example what information to include in your assessment, you should first contact your tutor, then your course coordinator, if needed.

If you require additional assistance, the Learning Advisers are trained professionals who are ready to help you develop a wide range of academic skills. Visit the Learning Advisers web page for more information, or contact Student Central for further assistance: +61 7 5430 2890 or studentcentral@usc.edu.au.

Wellbeing Services

Student Wellbeing provide free and confidential counselling on a wide range of personal, academic, social and psychological matters, to foster positive mental health and wellbeing for your academic success.

To book a confidential appointment go to Student Hub, email studentwellbeing@usc.edu.au or call 07 5430 1226.

AccessAbility Services

Ability Advisers ensure equal access to all aspects of university life. If your studies are affected by a disability, learning disorder mental health issue, injury or illness, or you are a primary carer for someone with a disability or who is considered frail and aged, AccessAbility Services can provide access to appropriate reasonable adjustments and practical advice about the support and facilities available to you throughout the University.

To book a confidential appointment go to Student Hub, email AccessAbility@usc.edu.au or call 07 5430 2890.

Links to relevant University policy and procedures

For more information on Academic Learning & Teaching categories including:

• Assessment: Courses and Coursework Programs
• Review of Assessment and Final Grades
• Supplementary Assessment
• Central Examinations
• Deferred Examinations
• Student Conduct
• Students with a Disability

For more information, visit https://www.usc.edu.au/explore/policies-and-procedures#academic-learning-and-teaching

Student Charter

UniSC is committed to excellence in teaching, research and engagement in an environment that is inclusive, inspiring, safe and respectful. The Student Charter sets out what students can expect from the University, and what in turn is expected of students, to achieve these outcomes.

General Enquiries

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