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# Maths Quest 12 Specialist Mathematics VCE Units 3 and 4 eGuidePLUS (Online Purchase)

Author/s Rozen 9780730323044 December 2015 0 \$114.95

Maths Quest 12 Specialist Mathematics VCE Units 3 and 4 eGuidePLUS (Online Purchase) provides teachers with online support through instant access to student and teacher texts plus a complementary set of extensive, customisable assessment (including SACs) and curriculum materials to make teacher planning and preparation easier.

Features and benefits

• Complete, in-depth coverage of the new VCE study design for 2016-2019.
• 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 Specialist Mathematics Units 3 and 4 is fully integrated with the student text. studyON is Jacaranda’s unique study, revision and exam preparation tool, containing all past VCAA exam questions from 2006.
• Work programs, topic tests and SACs equip teachers with extensive support materials.

Teachers can rely on Jacaranda’s dedicated customer service and support.

1 Sketching graphs
1.1 Kick off with CAS
1.2 An introduction to the modulus function
1.3 Sketching graphs of reciprocal functions
1.4 Sketching graphs of rational functions
1.5 Sketching graphs of y = |f (x)| and y = f (|x |) from y = f (x)
1.6 Circles, ellipses and hyperbolas
1.7 Review

2 Trigonometry
2.1 Kick off with CAS
2.2 Reciprocal trigonometric functions
2.3 Trigonometric identities using reciprocal trigonometric functions
2.4 Compound angle formulae
2.5 Double angle formulae
2.6 Inverse trigonometric functions
2.7 General solutions of trigonometric equations
2.8 Graphs of reciprocal trigonometric functions
2.9 Graphs of inverse trigonometric functions
2.10 Review

3 Complex numbers
3.1 Kick off with CAS
3.2 Complex numbers in rectangular form
3.3 Complex numbers in polar form
3.4 Solving polynomial equations
3.5 Subsets of the complex plane, circles, lines and rays
3.6 Roots of complex numbers
3.7 Review

4 Kinematics
4.1 Kick off with CAS
4.2 Constant acceleration
4.3 Motion under gravity
4.4 Review

5 Vectors in three dimensions
5.1 Kick off with CAS
5.2 Vectors
5.3 i j k notation
5.4 Scalar product
5.5 Vector proofs using the scalar product
5.6 Parametric equations
5.7 Review

6 Mechanics
6.1 Kick off with CAS
6.2 Statics of a particle
6.3 Inclined planes and connected particles
6.4 Dynamics
6.5 Dynamics with connected particles
6.6 Review

7 Differential Calculus
7.1 Kick off with CAS
7.2 Review of differentiation techniques
7.3 Applications of differentiation
7.4 Implicit and parametric differentiation
7.5 Second derivatives
7.6 Curve sketching
7.7 Derivatives of inverse trigonometric functions
7.8 Related rate problems
7.9 Review

8 Integral calculus
8.1 Kick off with CAS
8.2 Areas and areas between curves
8.3 Linear substitutions
8.4 Non-linear substitutions
8.5 Integrals of powers of trigonometric functions
8.6 Integrals involving inverse trigonometric functions
8.7 Integrals involving partial fractions
8.8 Review

9 Differential equations
9.1 Kick off with CAS
9.2 Verifying solutions to a differential equation
9.3 Solving Type 1
9.4 Solving Type 2
9.5 Solving Type 3
9.6 Solving Type 4
9.7 Review

10 Further applications of integration
10.1 Kick off with CAS
10.2 Integration by recognition
10.3 Solids of revolution
10.4 Volumes
10.5 Arc length and Numerical integration
10.6 Water flow
10.7 Review

11 Applications of first-order differential equations
11.1 Kick off with CAS
11.2 Growth and decay
11.3 Other applications of first order differential equations
11.4 Bounded growth and Newton’s law of cooling
11.5 Chemical reactions and dilution problems
11.6 Logistic equation
11.7 Euler’s method
11.8 Slope fields
11.9 Review

12 Variable forces
12.1 Kick off with CAS
12.2 Forces that depend on time
12.3 Forces that depend on velocity
12.4 Forces that depend on displacement
12.5 Review

13 Vector calculus
13.1 Kick off with CAS
13.2 Position vectors as functions of time
13.3 Differentiation of vectors
13.4 Special parametric curves
13.5 Integration of vectors
13.6 Projectile motion
13.7 Review

14 Statistical Inference
14.1 Kick off with CAS
14.2 Linear combinations of random variables
14.3 Sample means
14.4 Confidence intervals
14.5 Hypothesis testing
14.6 Review

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