TEC2221

Mathematical methods

C Varsavsky

4 points
* 26 lecture and tutorial hours
* First semester
* Caulfield

Objectives A basic understanding of the concepts and principles of differential and integral calculus and how to apply these principles to a variety of problems.

Synopsis Pre-calculus: graph sketching using intercepts, symmetry and asymptotes, limiting values. Differentiation: derivative of polynomials, trigonometric functions, exponential and natural log functions. Product, quotient and chain rules, applications. Integration: integral of polynomials, trigonometric functions, exponential functions and functions giving natural log expressions. Definite integrals, applications. Differential equations: solution of first-order differential equations by direct integration, separation of variables and the integrating factor method, applications.

Assessment Examination (2 hours): 70%
*Assignments: 30%

Recommended texts

Hughes-Mallett and others Calculus Wiley, 1995