Engineering Mathematics 1

Lectures, tutorials / seminars

Examinations (60% - 90%), Assignments (10% – 40%)
Actual allocation of marks will be specified in the Unit of Study Outline.

• Are capable in their chosen professional areas
• Are informed and knowledgeable in the area
• Have an appreciation of areas of uncertainty within a body of knowledge
• Have pertinent skills and abilities
• Understand the relationship between theory and practice
• Have the ability to effectively communicate using a range of media and in varied contexts
• Have the general capacity for flexibility and curiosity
• Have a broad understanding of the role of technology in our society

• Number: Error analysis, binary octal and hexadecimal systems
• Vectors: Basci operations in 2D, introduction to 3D space, basic vectors in 3D, products, projections
• Algebra: Equations in one-variable: algebra, graphical solution, numerical solution; inequations in one variable: algebra, graphical solution; transformation of equations and formulae
• Functions and Graphs: Review of functions and graphs, including polynomials, rational functions and a review of trigonometry, problems of domain, limits, asymptotes, partial fractions, inverse trigonometric functions, hyperbolic and
  inverse hyperbolic functions
• Differentiation: Rates, approximations, Taylor polynomials, implicit and logarithmic differentiation, optimisation, detailed graphing including inflection, indeterminate forms, limits
• Integration: Substitution, parts, general techniques, use of extensive tables, areas, centroids, volumes, arc lengths, surface areas, numerical integration

Course notes will be available.
Graphical calculator.