Year
2021
Units
4.5
Contact
Semester 1 Internal
2 x 1-hour lectures weekly
1 x 2-hour lectures weekly
1 x 1.5-hour tutorial fortnightly

Semester 2 Internal
2 x 2-hour lectures weekly
1 x 1.5-hour tutorial fortnightly

Summer Class Contact
5 x 2-hour workshops weekly (for 5 weeks)
Prerequisites
MATH1121 - Mathematics 1A
Assessment
Assignment(s), Examination, Quizzes
Topic description

This topic is a continuation of material of MATH1121 Mathematics 1A and together with MATH1121 Mathematics 1A is intended to provide access to all higher level mathematics topics which require knowledge of standard first year mathematics. The emphasis is on a modelling approach to mathematics and its applications within a coherent framework.

The material covered includes elementary transcendental functions. Integral calculus, fundamental theorem of the calculus, standard techniques of integration including substitution, parts, partial fractions, application to motion, arclength, area, volumes and solids of revolution, Taylor polynomials, series, power series, introduction to elementary differential equations, simple harmonic motion. Systems of linear equations, Gaussian elimination, matrix algebra and determinants.

Educational aims

This topic is a continuation of the material of MATH1121 Mathematics 1A. This topic develops the properties of elementary transcendental functions and introduces key ideas and applications of integral calculus, matrix algebra and linear algebra.

Expected learning outcomes
On completion of this topic you will be expected to be able to:

  1. Have a knowledge of the basic properties of the elementary transcedental functions
  2. Understand and apply the key ideas and methods of integral calculus
  3. Understand and analyse the relation between differential and integral calculus
  4. Understand and apply key ideas from linear and matrix algebra to the solution of systems of linear equations
  5. Develop further skills in the use of computational technology
  6. Have enhanced problem solving, critical and reasoning abilities
  7. Appreciate the historical context underlying the development of modern mathematical principles and ideas
  8. Have an informed appreciation of the wide applicability of integral calculus and matrix algebra in other areas of Science and Engineering

Key dates and timetable

(1), (2)

Each class is numbered in brackets.
Where more than one class is offered, students normally attend only one.

Classes are held weekly unless otherwise indicated.

FULL

If you are enrolled for this topic, but all classes for one of the activities (eg tutorials) are full,
contact your College Office for assistance. Full classes frequently occur near the start of semester.

Students may still enrol in topics with full classes as more places will be made available as needed.

If this padlock appears next to an activity name (eg Lecture), then class registration is closed for this activity.

Class registration normally closes at the end of week 2 of each semester.

Classes in a stream are grouped so that the same students attend all classes in that stream.
Registration in the stream will result in registration in all classes.
  Unless otherwise advised, classes are not held during semester breaks or on public holidays.