Advanced Mathematics 2

Description

The pair of courses EPMATH124 Advanced Mathematics 1, offered in semester one, and EPMATH125 Advanced Mathematics 2, offered in semester two, prepare students for undergraduate courses requiring a background in mathematics. The depth and treatment of this course is similar to 2 Unit Higher School Certificate Mathematics. Topics include sequences and series, calculus (differentiation and integration) and applications related to trigonometric, exponential and logarithmic functions, applications of calculus to the physical world and to trigonometry, exponential and logarithmic function including the study of motion, growth and decay, probability and the binomial theorem.

Recommended for degrees in Engineering, Medical Radiation Science, Teaching (Mathematics), Computer Science and Pharmacy.

Availability

Ourimbah

  • Semester 2 - 2015

Callaghan

  • Semester 2 - 2015

Learning Outcomes

1. Develop a sound knowledge and an understanding of the topics included in the course.

2. Develop competence in mathematical skills equivalent to HSC 2 unit Mathematics standard.

3. Further develop an understanding of the concepts and applications of mathematics relevant to degrees requiring a background in mathematics.

Content

The course covers:

  1. Sequences and Series: arithmetic and geometric sequences, general term, sum to n terms and limiting sum.
  2. Introductory Calculus: stationary points, curve sketching, problems on maxima and minima, continuity and limits, the second derivative and points of inflection.
  3. Integral calculus, primitives, the area under a curve, definite and indefinite integrals, volumes of solids of revolution. Approximate area under a curve - Trapezoidal and Simpson's Rule.
  4. The calculus of exponential and logarithmic functions. Differentiation and integration related to exponential and logarithmic functions.
  5. Trigonometric functions: radian measure, differentiation and integration related to trigonometric functions; curve sketching.
  6. Calculus in the physical world - rates of change, displacement, velocity and acceleration.
  7. Exponential growth and decay.
  8. Probability: Venn diagrams, tree diagrams, counting techniques, permutations and combinations, the binomial probability distribution.

Assessment Items

Quiz: Quizzes #1-10

In Term Test: Midsemester

Formal Examination: Final Examination

Contact Hours

Ourimbah and Callaghan

Lecture

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

Tutorial

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