Maths Quest 11 Specialist Mathematics VCE Units 1 and 2 eGuidePLUS (Online Purchase) Image

Maths Quest 11 Specialist Mathematics VCE Units 1 and 2 eGuidePLUS (Online Purchase)

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1 Number systems: real and complex
1.1 Kick off with CAS
1.2 Review of set notation
1.3 Properties of surds
1.4 The set of complex numbers
1.5 Multiplication and division of complex numbers
1.6 Representing complex numbers on the Argand plane.
1.7 Factorising quadratic expressions and solving quadratic
equations over the complex number field
1.8 Review


2 Algebra and logic
2.1 Kick off with CAS
2.2 Statements (propositions), connectives and truth tables
2.3 Valid and Invalid arguments
2.4 Techniques of proof
2.5 Sets and Boolean Algebra
2.6 Digital logic
2.7 Review


3 Sequences and series
3.1 Kick off with CAS
3.2 Describing sequences
3.3 Arithmetic sequences
3.4 Arithmetic series
3.5 Geometric sequences
3.6 Geometric series
3.7 Applications of sequences and series
3.8 Review


4 Geometry in the plane
4.1 Kick off with CAS
4.2 Review of basic geometry
4.3 Geometric constructions
4.4 Similarity and congruence
4.5 Polygons
4.6 Circle geometry
4.7 Tangents chords and circles
4.8 Review


5 Trigonometric ratios and their applications 
5.1 Kick off with CAS
5.2 Trigonometry of right angled triangles
5.3 Elevation, depression and bearings
5.4 The sine rule
5.5 The cosine rule
5.5 Arcs, sectors and segments
5.6 Review


6 Simulation, sampling and sampling distributions
6.1 Kick off with CAS
6.2 Random experiments, events and event spaces
6.3 Simulation
6.4 Populations and Samples
6.5 Distribution of Sample proportions
6.6 Measures of central tendency and spread
6.7 Review


7 Coordinate geometry
7.1 Kick off with CAS
7.2 Distance between two points
7.3 Midpoint of a line segment
7.4 Parallel and perpendicular lines
7.5 Applications
7.6 Review


8 Vectors
8.1 Kick off with CAS
8.2 Introduction to vectors
8.3 Operations on vectors
8.4 Magnitude, direction and components of vectors
8.5 i, j notation
8.6 Applications of vectors
8.7 Review


9 Kinematics
9.1 Kick off with CAS
9.2 Introduction to kinematics
9.3 Velocity-time graphs and acceleration-time graphs
9.4 Constant acceleration formulas
9.5 Instantaneous rates of change
9.8 Review


10 Circular Functions
10.1 Kick off with CAS
10.2 Modelling with Trigonometry
10.3 Reciprocal trigonometric functions
10.4 Graphs of reciprocal trigonometric functions
10.5 Trigonometric identities
10.6 Compound and double angle formulas
10.7 Other identities
10.8 Review


11 Linear and non-linear relationships

11.1 Kick off with CAS
11.2 Reciprocal graphs
11.3 The circle and the ellipse
11.4 The hyperbola
11.5 Polar coordinates, equations and graphs
11.6 Parametric equations
11.7 Review


12 Transformations

12.1 Kick off with CAS
12.2 Translations of points and graphs
12.3 Reflections and dilations
12.4 Successive transformations
12.5 Matrices and transformations
12.6 Review