Course Title: Vectors and Calculus

Part A: Course Overview

Course Title: Vectors and Calculus

Credit Points: 12.00

Terms

Course Code

Campus

Career

School

Learning Mode

Teaching Period(s)

MATH1143

Bundoora Campus

Undergraduate

145H Mathematical & Geospatial Sciences

Face-to-Face

 Sem 2 2007,
Sem 2 2008,
Sem 2 2009

MATH1144

City Campus

Undergraduate

145H Mathematical & Geospatial Sciences

Face-to-Face

 Sem 2 2006,
Sem 2 2007,
Sem 2 2008,
Sem 2 2009,
Sem 2 2010,
Sem 2 2011,
Sem 2 2012,
Sem 2 2013,
Sem 2 2014,
Sem 2 2015,
Sem 2 2016,
Spring2016

MATH1144

City Campus

Undergraduate

171H School of Science

Face-to-Face

 Sem 2 2017,
Sem 2 2018,
Sem 2 2019,
Sem 2 2020,
Sem 2 2021,
Sem 2 2022,
Sem 2 2023

Course Coordinator: Dr Michael Nyblom

Course Coordinator Phone: +61 3 9925 2189

Course Coordinator Email: michael.nyblom@rmit.edu.au

Course Coordinator Location: 15.04.18


Pre-requisite Courses and Assumed Knowledge and Capabilities

To successfully complete this course, you are expected to have capabilities consistent with the completion of VCE Mathematical Methods at Year 12 level


Course Description

This course aims to complement knowledge, skills and their application studied in MATH1142 Calculus and Analysis 1 and MATH2443 A Mathematical Toolbox. It provides a broad introduction to a further selection of the fundamental mathematical procedures (multi-variable differentiation and integration) and mathematical objects (vectors, vector-valued functions, matrices) needed by mathematicians and most applied scientists. The course builds on the foundations laid in secondary school mathematics and in turn extends those foundations to accommodate more advanced studies in mathematics undertaken in the following semester and beyond. Topic areas include vectors, matrices, differential equations and vector calculus, vector-valued functions and functions of several variables.


Objectives/Learning Outcomes/Capability Development

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

  1. Apply core mathematical skills such as arithmetic, algebraic manipulation, elementary geometry and trigonometry to an increasing range of problems;
    2. Utilise techniques of integral and differential calculus to formulate and solve problems involving change and approximation, with particular emphasis on problems with more than one variable and problems involving motion along a curve;
    3. Recognise the properties of vectors and matrices and apply the techniques of vector and matrix analysis to problems involving three-dimensional geometry and transformations in three-dimensional space;
    4. Solve first order separable differential equations and calculate vector calculus entities grad, div and curl.
     


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

PLO1: Apply a broad and coherent knowledge of scientific theories, principles, concepts and practices, relevant to the field of space science and technology with multi-disciplinary collaboration.

PLO3: Analyse and apply principles of scientific inquiry and critical evaluation to address real-world scientific challenges and inform evidence- based decision making. 


Overview of Learning Activities

You will be actively engaged in a range of learning activities such as lectorials and tutorials. 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

Your assessment will consist of assessed practice classes and a formal examination.

☑This course has no hurdle requirements.

Assessment Tasks:

Assessment Task 1:  Online Quizzes (4)
Weighting 40%
This assessment task supports CLOs 1-4

Assessment Task 2: Written Assessment 1 (Vectors and Matrices)
Weighting 20% 
This assessment supports CLOs 1-4

Assessment Task 3: Written Assessment 2 (Vector Valued Functions and Functions of Several Variables)
Weighting 20%
This assessment supports CLOs 1-4

Assessment Task 4: Written Assessment 3 (Differential Equations and Vector Calculus)
Weighting 20%
This assessment supports CLOs 1-4