Course Title: Calculus and Analysis 1

Part A: Course Overview

Course Title: Calculus and Analysis 1

Credit Points: 12.00

Terms

Course Code

Campus

Career

School

Learning Mode

Teaching Period(s)

MATH1141

Bundoora Campus

Undergraduate

145H Mathematical & Geospatial Sciences

Face-to-Face

 Sem 1 2006,
Sem 1 2007

MATH1142

City Campus

Undergraduate

145H Mathematical & Geospatial Sciences

Face-to-Face

 Sem 1 2006,
Sem 1 2007,
Sem 1 2008,
Sem 1 2009,
Sem 1 2010,
Sem 1 2011,
Sem 1 2012,
Sem 1 2013,
Sem 1 2014,
Sem 1 2015,
Sem 1 2016

MATH1142

City Campus

Undergraduate

171H School of Science

Face-to-Face

 Sem 1 2017,
Sem 1 2019,
Sem 1 2020,
Sem 1 2021,
Sem 1 2022

Course Coordinator: Associate Professor Stephen Davis

Course Coordinator Phone: +61 3 9925 2278

Course Coordinator Email: stephen.davis@rmit.edu.au

Course Coordinator Location: 15.03.18

Course Coordinator Availability: By appointment, by email.


Pre-requisite Courses and Assumed Knowledge and Capabilities

Assumed Knowledge

To successfully complete this course, you are expected to have capabilities consistent with the completion of VCE Mathematical Methods at Year 12 level. That is, you are expected to be able to correctly perform basic algebraic and arithmetic operations; solve quadratic and other algebraic equations; solve simultaneous linear equations; recognise and apply the concepts of function and inverse of a function; recognise the properties of common elementary functions (e.g. polynomials and trigonometric functions); sketch the common elementary functions; solve mathematical problems involving functions; find the derivative of elementary functions from first principles and combinations of elementary functions using the product, quotient and chain rules; find the anti-derivative (integral) of elementary functions; use integral calculus to determine the area under a curve.


Course Description

This course aims to provide a broad introduction to the fundamental mathematical techniques, including differentiation and integration, and mathematical objects needed by mathematicians and most applied scientists. The course builds on the foundations laid in secondary school mathematics and in turn aims to lay the foundation for more advanced studies in mathematics undertaken in the following semester and beyond. Topic areas include differentiation with applications, functions and their derivatives, integration and its applications, methods of integration, complex numbers, and differential equations.


Objectives/Learning Outcomes/Capability Development

This course contributes to the following Program Learning Outcomes for BP083 Bachelor of Science (Applied Mathematics and Statistics) and BH119 Bachelor of Analytics (Hons): 

Knowledge and technical competence:
• use the appropriate and relevant, fundamental and applied mathematical and statistical  knowledge, methodologies and modern computational tools.
 
Problem-solving:
• synthesise and flexibly apply knowledge to characterise, analyse and solve a wide range of problems
• balance the complexity / accuracy of the mathematical / statistical models used and the timeliness of the delivery of the solution


Upon successful completion of this course, you should be able to:

  1. Apply core mathematical skills such as arithmetic, algebraic manipulation, elementary geometry and trigonometry to a range of problems;
  2. Utilise the techniques of integral and differential calculus to formulate and solve problems involving change and approximation;
  3. Recognise the properties of the common mathematical functions (polynomials, exponentials and hyperbolic functions, logarithms, inverse trigonometric and inverse hyperbolic functions) and their combinations commonly found in engineering applications;
    4. Identify the properties of complex numbers and apply them to the solution of algebraic equations.


Overview of Learning Activities

You will be actively engaged in a range of learning activities such as lectorials, tutorials, practicals, laboratories, seminars, project work, class discussion, individual and group activities. Delivery may be face to face, online or a mix of both.

You are encouraged to be proactive and self-directed in your learning, asking questions of your lecturer and/or peers and seeking out information as required, especially from the numerous sources available through the RMIT library, and through links and material specific to this course that is available through myRMIT Studies Course.


Overview of Learning Resources

RMIT will provide you with resources and tools for learning in this course through myRMIT Studies Course.

There are services available to support your learning through the University Library. The Library provides guides on academic referencing and subject specialist help as well as a range of study support services. For further information, please visit the Library page on the RMIT University website and the myRMIT student portal.


Overview of Assessment

Assessment Tasks

Assessment Task 1: Continuous formative weekly tutorials
Weighting 45%
This assessment task supports CLOs 1, 2, 3 & 4

Assessment Task 2: End-of-topic take-home assignments
Weighting 30%
This assessment task supports CLOs 1, 2, 3 & 4

Assessment Task 3: Oral summative test and interview
This assessment task supports CLOs 1, 2, 3 & 4

If you have a long-term medical condition and/or disability it may be possible to negotiate to vary aspects of the learning or assessment methods. You can contact the program coordinator or Equitable Learning Services if you would like to find out more.