Maths Quest 11 Mathematical Methods Units 1 and 2 provides comprehensive coverage of the new VCE Study Design for 2016-2018. It includes Jacaranda's unique exam preparation tool, studyON, which has been fully integrated with the text to maximise every student's opportunity for exam success.
Features and benefits
. Many HTML5 interactivities are available. These are designed to engage, excite and enhance understanding by bringing difficult concepts to life.
. The theory is written by highly experienced and successful teachers with a proven and fundamental understanding of how students learn mathematics and succeed in exams.
. Every exercise contains three levels of carefully graded questions which allow students to practise, consolidate and master their knowledge independently.
. Thousands of new questions have been written exclusively for this series, including many higher level questions that stretch students' understanding of mathematics for improved learning outcomes.
. CAS support is provided within the student text through activities and questions. Additionally, students can obtain detailed step-by-step instructions by accessing the TI-Nspire CAS or the Casio ClassPad II Calculator Manuals in the Prelim section of their eBookPLUS.
. studyON VCE Mathematical Methods Units 1 and 2 is fully integrated with the student text. studyON is Jacaranda's unique study, revision and exam preparation tool.
Students can rely on Jacaranda's dedicated customer service and support.
This resource is a hard-copy student text that includes the eBookPLUS and studyON VCE Mathematical Methods Units 1 and 2.
studyON for Units 1 and 2 is a comprehensive study, revision and exam preparation tool that delivers proven learning outcomes.
Features and benefits
. Sit exams: VCAA exam-style questions along with marking guides. Students receive instant feedback and can track their results at a concept, topic or whole-course level.
. Concepts: Concept summary screens provide concise, in-depth explanations supported by relevant examples.
. Read more: Hyperlinks direct students to more information in the Jacaranda eBookPLUS.
Table of Contents
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
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
3.1 Kick off with CAS
3.2 Quadratic equations with rational roots
3.3 Quadratics over R
3.4 Applications of quadratic equations
3.5 Graphs of quadratic polynomials
3.6 Determining the rule for the graph of a quadratic polynomial
3.7 Quadratic inequations
3.8 Quadratic models and applications
4.1 Kick off with CAS
4.2 Remainder and factor theorems
4.3 Graphs of cubic polynomials
4.4 Equations of cubic polynomials
4.5 Cubic models and applications
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
Functions and relations
6.1 Kick off with CAS
6.2 Functions and relations
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
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
7.9 Combinations of transformations
8.1 Kick off with CAS
8.2 Probability review
8.3 Conditional probability
8.5 Counting techniques
8.6 Binomial coefficients and Pascal's Triangle
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
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
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
12 Introduction to differential calculus
12.1 Kick off with CAS
12.2 Rates of change
12.3 Gradients of secants
12.4 The derivative function
12.5 Differentiation of polynomials by rule
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
14 Antidifferentiation and introduction to integral calculus
14.1 Kick off with CAS
14.3 Antiderivative functions and graphs
14.4 Applications of antidifferentiation
14.5 The definite integral