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The Year 12 Mathematics Advanced course builds on the concepts learned in Year 11, focusing on more advanced mathematical techniques and their applications. This course covers a range of topics, including calculus, algebra, statistics, and financial mathematics. Students will be prepared for both the Higher School Certificate (HSC) exam and further studies in mathematics, science, and engineering.
Book LessonReports are sent via email, by the end of term.
Reports are included in the price below. Also note the reports sent are more comprehensive.
89%, +12% Term 3
82%, +7% Term 3
The student has shown steady improvement across the terms, in Math Advanced. Homework completion is consistent with a few late submissions. Overall, excellent progress!
In Term 1, students begin studying calculus with a focus on differentiation. They will learn to calculate the derivative of various functions, including polynomial, exponential, and trigonometric functions. The term also covers the applications of derivatives, such as determining rates of change, finding local maxima and minima, and solving problems related to motion and optimization. Students will also learn about the concept of the tangent line to a curve and its real-world applications.
Term 2 focuses on the concept of integration, which is the reverse of differentiation. Students will learn techniques for finding indefinite and definite integrals, including integration by substitution and by parts. The term also covers applications of integration, such as calculating areas under curves, volumes of solids of revolution, and solving problems in physics and economics. Students will explore how integration is used to model real-world scenarios, such as the accumulation of quantities over time.
In Term 3, students study financial mathematics, including concepts such as compound interest, loans, and investment growth. They will apply mathematical models to solve problems involving simple and compound interest, as well as learn how to analyze financial data. The term also covers advanced probability, including conditional probability, the binomial distribution, and probability distributions. Students will apply these concepts to real-life situations, such as risk assessment and decision-making.
In Term 4, students focus on statistics, including the study of data analysis, measures of central tendency, and measures of dispersion. They will learn to interpret statistical data, calculate standard deviation and variance, and apply these skills to problems in various fields, including science and social studies. The term concludes with a comprehensive review of all topics covered throughout the year, with practice using HSC-style questions, refining problem-solving strategies, and ensuring students are well-prepared for the HSC exam.