Intermediate Mathematics 1

Description

This course is an intermediate level mathematics course which covers the introductory concepts as in EPMATH134 Introductory Mathematics 1 as well as further skills in algebra and functions and further practice in problem solving. The course content includes skills in numeracy, algebra, linear and non-linear functions, graphing, exponential and logarithmic theory. The course aims to provide a sound foundation in a wide range of basic mathematical skills and in their application to problem solving.

Recommended for degrees in Business, Commerce, Information Technology and the Sciences, including degrees in Health Science, Social Science and Behavioural Science.

Availability

Callaghan Campus

  • Semester 1 - 2015

Ourimbah

  • Semester 1 - 2015

Learning Outcomes

1. have obtained a background in number theory, algebra, functions, graphing and exponential and logarithmic theory

2. demonstrated a broad understanding of the subject area, which together with EPMATH235 Intermediate Mathematics 2, is suitable for undergraduate studies in Business, Commerce, Science and the Health Sciences and other areas with a mathematical content.

3. have acquired critical reasoning and problem solving skills in order to solve mathematical problems.

Content

  1. Number theory: place value, directed number, order of operations, numerical indices, scientific notation
  2. Fractions and Decimals: factors, multiples, operations with dractions and decimals, approximation using decimal places or significant figures
  3. Ratio and Percentages: simplifying ratios, percentages, application to simple interest
  4. Use of Scientific Calculator
  5. Rates: basics, rate conversions
  6. Basic algebra: basics, laws, substitution, simplification, expansion including binomials, indices, fractions, factorisation
  7. Equations: basic, fractional, word problems, solving equations with powers and roots, changing the subject of the formula, simultaneous equations
  8. Exponentials and Logarithms: exponential and logarithmic notation, solution of exponential equations using logarithms, application to compound interest
  9. Linear Functions: equation of a straight line, graphing linear functions intersection of lines, line of best fit, applications
  10. Non-linear functions: graphs of quadratic, cubic, reciprocal, exponential functions; applications.

Assumed Knowledge

Advanced or Intermediate Level School Certificate Mathematics or equivalent. Students who have not studied mathematics for some time may benefit from taking a Mathematics Bridging course before enrolling in this course.

Assessment Items

Quiz: Quizzes

In Term Test: Class Test

Formal Examination: Final Exam

Contact Hours

Lecture

Face to Face On Campus 2 hour(s) per Week for 12 Weeks

Tutorial

Face to Face On Campus 1 hour(s) per Week for 11 Weeks