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MA1003 - Mathematical Techniques
Credit points: |
3 |
Year: |
2023 |
Student Contribution Band: |
Band
1 |
Administered by: |
College of Science and Engineering |
To develop knowledge and advanced analytical skills in the fields of differential
and integral calculus, differential equations, series, linear algebra and complex
numbers through independent and collaborative learning. To equip students with the
techniques required for the application of integral and differential calculus, differential
equations and linear algebra in disciplines where these concepts are used.
Learning Outcomes
- communicate mathematical thinking incorporating the concepts and methods presented
in the course;
- define hyperbolic functions and describe their properties; define inverse trigonometric
and inverse hyperbolic functions and describe their properties;
- solve first order differential equations and second order differential equations with
constant coefficients, including non-homogeneous cases and apply these methods to
word problems;
- use convergence tests to determine properties of series and power series. Determine
power series representations of functions;
- systematically solve a system of linear equations; compute and understand the role
of the determinant in a matrix equation; solve a matrix equation using the matrix
inverse;
- understand the rectangular, polar and exponential forms of a complex number. Perform
the four standard arithmetic operations and find roots using complex numbers. Solve
equations involving complex numbers;
- differentiate quantities on curves defined by parametric equations; understand and
use the concepts of the differential and linear approximation for functions of a single
variable and apply Newtons method to solve nonlinear equations involving a single
variable;
- use techniques presented to evaluate integrals analytically. Use the trapezoidal rule
and Simpsons rule to evaluate integrals numerically. Apply integrals to determine
volumes of solids of revolution, arc length and surface area of revolution.
Subject Assessment
- Written > Examination (centrally administered) - (60%) - Individual
- Test/Quiz 1 in-class: 10% Test/Quiz 2 in-class: 15% Test/Quiz 3 online: 10% Problem
Task: in-class 5% - (40%) - Individual.
Prerequisites: |
MA1000 OR MA1011 OR MA1009 |
Inadmissible Subject Combinations:
|
MA1002 |
Availabilities
|
Cairns,
Study Period 2,
Internal
|
Census Date 24-Aug-2023 |
Coordinator: |
Mr Patrick Higgins |
Lecturer:
|
Mrs Carolyn Diedricks. |
Workload expectations: |
The student workload for this
3
credit point subject is approximately
130 hours.
- 39 hours lectures
- 12 hours tutorials
- assessment and self-directed study
|
|
|
JCU Singapore,
Study Period 51,
Internal
|
Census Date 06-Apr-2023 |
Coordinator: |
Mr Patrick Higgins |
Lecturer:
|
Mr Power Famili. |
Workload expectations: |
The student workload for this
3
credit point subject is approximately
130 hours.
- 39 hours lectures
- 12 hours tutorials
- assessment and self-directed study
|
|
|
Townsville,
Study Period 2,
Internal
|
Census Date 24-Aug-2023 |
Coord/Lect: |
Mr Patrick Higgins. |
Workload expectations: |
The student workload for this
3
credit point subject is approximately
130 hours.
- 39 hours lectures
- 12 hours tutorials
- assessment and self-directed study
|
|
|
Townsville,
Study Period 3,
Intensive
|
Census Date 02-Feb-2023 |
Face to face teaching
04-Jan-2023 to 13-Feb-2023 (Classes commence Monday 4 January 2023 and conclude on Monday 13 February. Classes
will run Monday, Wednesday and Friday during this period.)
|
Coord/Lect: |
Mr Patrick Higgins. |
Workload expectations: |
The student workload for this
3
credit point subject is approximately
130 hours.
- 84 hours was Other - 12 hours contact per week for 7 weeks
- assessment and self-directed study
|
|
|
Note:
Minor variations might occur due to the continuous Subject quality improvement process,
and in case
of minor variation(s) in assessment details, the Subject Outline represents the latest
official information.