Paul Urban, "Specialist Mathematics Workbook and Revision Guide SACE 2"
2013 | ISBN: 1921548711, 9781921548710 | 345 pages | PDF | 28 MB
2013 | ISBN: 1921548711, 9781921548710 | 345 pages | PDF | 28 MB
Need an extra boost in your grades?
Senior specialist teachers include authors of our renowned Essentials workbooks.
Seminars are conducted by Adelaide Tuition Centre during Term 1, 2, 3 Holidays. 3-hour sessions review all key aspects of theory, followed by individual discussion and practical problem solving. Small group sizes, 10-18 students.
Contents :
Trigonometric preliminaries
Properties of trigonometric functions
Graphs of trigonometric functions
Trigonometric identities
Solving trigonometric equations
Complex Numbers
Complex number definition and geometric representation
Complex number operations and the complex conjugate
Modulus and Argument
Complex sets and their graphs (loci)
Polar form (modulus-argument form)
De Moivre’s theorem and applications
Real polynomials
Polynomial operations and real polynomial theorems
Polynomial division and the remainder theorem
Polynomial graphs
Quadratic iteration
Vectors in 3-D space
Operations and properties
Scalar product (dot product)
Vector product (cross product)
Lines in space
Planes in space
Geometric proof
Vector method of proof
Geometry of circles
Calculus
Differentiation of trigonometric functions
Applications of the derivative
Functions and quantities varying with time
Circular motion
Parametric representation
Integration of trigonometric functions
Definite integrals and areas under curves
Differential equations
Integration and differential equations
Euler’s method of numerical integration
Separable differential equations
The logistic differential equation
Systems of differential equations
Solutions to exercises