MAT1102 Algebra and Calculus I (FOSCI)

Semester 1 (ONC)Toowoomba (EXT)Toowoomba

Units 1.0 (Mathematics) Band 2

Synopsis

Assuming current knowledge and competencies equivalent to Qld Year 11 and 12 school Maths B with Calculus, this course investigates the elementary functions of mathematics: polynomials, logarithms, trigonometric functions, and their inverses, arithmetic combinations and compositions. Derivatives and anti-derivatives of such functions are developed and used in applications and problem-solving. Two and three-dimensional vectors and their algebra are used to describe motion, find projections, and lines and planes and their geometry in three dimensional space. Systems of linear algebraic equations are also formulated and solved in a range of settings. Matrices and their algebra are used to formulate and solve problems. Complex numbers are developed and their properties used for solving polynomial equations and representing geometric models.