# Maths Quest 11 VCE Mathematical Methods eGuidePLUS (Online Purchase)

ISBN: 978-0-730-32300-6

Jan 2016, Jacaranda

Product not available for purchase

1 Lines and linear relationships
1.1 Kick off with CAS
1.2 Linearly related variables, linear equations and inequations
1.3 Systems of 3X3 simultaneous linear equations
1.4 Linear graphs and their equations
1.5 Intersections of lines and their applications
1.6 Co-ordinate geometry of the straight line
1.7 Review

2 Algebraic foundations
2.1 Kick off with CAS
2.2 Algebraic skills
2.3 Pascal’s triangle and binomial expansions
2.4 Binomial theorem
2.5 Sets of real numbers
2.6 Surds
2.7 Review

3.1 Kick off with CAS
3.2 Quadratic equations with rational roots
3.6 Determining the rule for the graph of a quadratic polynomial
3.9 Review

4 Cubic polynomials
4.1 Kick off with CAS
4.1 Polynomials
4.2 Remainder and factor theorems
4.3 Graphs of cubic polynomials
4.4 Equations of cubic polynomials
4.5 Cubic models and applications
4.6 Review

5 Higher degree polynomials
5.1 Kick off with CAS
5.2 Quartic polynomials
5.3 Families of polynomials
5.4 Numerical approximations to roots of polynomial equations
5.5 Review

6 Functions and relations
6.1 Kick off with CAS
6.2 Functions and relations
6.3 Circle
6.4 Rectangular hyperbola and truncus
6.5 The truncus
6.6 The relation
6.7 Other functions and relations
6.8 Transformations of functions
6.9 Review

7 Matrices and applications to transformations
7.1 Kick off with CAS
7.2 Addition, subtraction and scalar multiplication of matrices
7.3 Matrix multiplication
7.4 Determinants and inverses of 2x2 matrices
7.5 Matrix equations and solving 2x2 linear simultaneous equations
7.6 Translations
7.7 Reflections
7.8 Dilations
7.9 Combinations of transformations
7.10 Review

8 Probability
8.1 Kick off with CAS
8.2 Probability review
8.3 Conditional probability
8.4 Independence
8.5 Counting techniques
8.6 Binomial coefficients and Pascal’s Triangle
8.7 Review

9 Trigonometric functions 1
9.1 Kick off with CAS
9.2 Trigonometric ratios
9.3 Circular measure
9.4 Unit circle definitions
9.5 Symmetry properties
9.6 Graphs of the sine and cosine functions
9.7 Review

10 Trigonometric functions 2
10.1 Kick off with CAS
10.2 Trigonometric equations
10.3 Transformations of sine and cosine graphs
10.4 Applications of sine and cosine functions
10.5 Graphs of the tangent function
10.6 Trigonometric relationships
10.7 Review

11 Exponential functions
11.1 Kick off with CAS
11.2 Indices as exponents
11.3 Indices as logarithms
11.4 Graphs of exponential functions
11.5 Applications of exponential functions
11.6 Inverses of exponential functions
11.7 Review

12 Introduction to differential calculus
12.1 Kick off with CAS
12.2 Rates of change
12.4 The derivative function
12.5 Differentiation of polynomials by rule
12.6 Review

13 Differentiation and applications
13.1 Kick off with CAS
13.2 Limits, continuity and differentiability
13.3 Derivatives of power functions
13.4 Co-ordinate geometry applications of differentiation
13.5 Curve sketching
13.6 Optimisation problems
13.7 Rates of change and kinematics
13.8 Review

14 Antidifferentiation and introduction to integral calculus
14.1 Kick off with CAS
14.2 Antiderivatives
14.3 Antiderivative functions and graphs
14.4 Applications of antidifferentiation
14.5 The definite integral
14.6 Review