Year 12 Specialist Mathematics
Take on Year 12 Specialist Mathematics with a course designed specifically for South Australian students. The content follows a clear, structured sequence that closely aligns with the topics, terminology and resources commonly used in SA schools. Work through major areas including complex numbers, real polynomials, vectors, integration, differential equations and vector calculus, while developing the reasoning and problem-solving skills needed across the course.
Each section includes easy-to-follow theory videos, worked application examples, practice worksheets and detailed solutions, plus topic cheat sheets and exam preparation resources.
Created by experienced mathematics educators and high-achieving former students, this course gives you the guidance, practice and flexibility to work confidently through the subject and prepare for assessments at your own pace.
Course Curriculum
- Mathematical Induction - Chapter Introduction
- Mathematical Induction - Cheat Sheet
- 1A: The Process of Induction - Theory (25:38)
- 1A: The Process of Induction - Application (17:35)
- 1A: The Process of Induction - Practice Worksheet
- 1B: The Principle of Mathematical Induction - Theory (38:26)
- 1B: The Principle of Mathematical Induction - Application (18:10)
- 1B: The Principle of Mathematical Induction - Practice Worksheet
- 1C: Proof of Divisibility - Theory (10:38)
- 1C: Proof of Divisibility - Application (33:48)
- 1C: Proof of Divisibility - Practice Worksheet
- 1D: Proofs for Sequences & Series - Theory (19:16)
- 1D: Proofs for Sequences & Series - Application (42:57)
- 1D: Proofs for Sequences & Series - Practice Worksheet
- 1E: Proofs for Products - Theory (14:22)
- 1E: Proofs for Products - Application (32:23)
- 1E: Proofs for Products - Practice Worksheet
- 1F: Induction with Matrices - Theory (11:32)
- 1F: Induction with Matrices - Application (33:11)
- 1F: Induction with Matrices - Practice Worksheet
- Real Polynomials - Chapter Introduction
- Real Polynomials - Cheat Sheet
- 2A: Operations with Polynomials - Theory (32:22)
- 2A: Operations with Polynomials - Application (16:26)
- 2A: Operations with Polynomials - Practice Worksheet
- 2B: Zeros, Roots, & Factors - Theory (22:45)
- 2B: Zeros, Roots, & Factors - Application (15:34)
- 2B: Zeros, Roots, & Factors - Practice Worksheet
- 2C: Polynomial Equality - Theory (14:40)
- 2C: Polynomial Equality - Application (26:47)
- 2C: Polynomial Equality - Practice Worksheet
- 2D: Polynomial Division - Theory (28:00)
- 2D: Polynomial Division - Application (31:27)
- 2D: Polynomial Division - Practice Worksheet
- 2E: The Remainder Theorem - Theory (13:39)
- 2E: The Remainder Theorem - Application (8:43)
- 2E: The Remainder Theorem - Practice Worksheet
- 2F: The Factor Theorem - Theory (11:57)
- 2F: The Factor Theorem - Application (24:24)
- 2F: The Factor Theorem - Practice Worksheet
- 2G: The Fundamental Theorem of Algebra - Theory (17:27)
- 2G: The Fundamental Theorem of Algebra - Application (31:11)
- 2G: The Fundamental Theorem of Algebra - Practice Worksheet
- 2H: Sum & Product of Roots Theorem (EXTENSION) - Theory (24:46)
- 2H: Sum & Product of Roots Theorem (EXTENSION) - Application (19:14)
- 2H: Sum & Product of Roots Theorem (EXTENSION) - Practice Worksheet
- 2I: Graphing Real Polynomials (Cubics) - Theory (39:54)
- 2I: Graphing Real Polynomials (Cubics) - Application (26:59)
- 2I: Graphing Real Polynomials (Cubics) - Practice Worksheet
- 2J: Graphing Real Polynomials (Quartics) - Theory (32:58)
- 2J: Graphing Real Polynomials (Quartics) - Application (27:46)
- 2J: Graphing Real Polynomials (Quartics) - Practice Worksheet
- Complex Numbers - Chapter Introduction
- Complex Numbers - Cheat Sheet
- 4A: The Complex Plane - Theory (16:36)
- 4A: The Complex Plane - Application (5:33)
- 4A: The Complex Plane - Practice Worksheet
- 4B: Modulus & Argument - Theory (20:19)
- 4B: Modulus & Argument - Application (33:43)
- 4B: Modulus & Argument - Practice Worksheet
- 4C: Polar Form - Theory (22:04)
- 4C: Polar Form - Application (18:29)
- 4C: Polar Form - Practice Worksheet
- 4D: Euler's Form (EXTENSION) - Theory (16:43)
- 4D: Euler's Form (EXTENSION) - Application (10:30)
- 4D: Euler's Form (EXTENSION) - Practice Worksheet
- 4E: De Moivre's Theorem - Theory (7:37)
- 4E: De Moivre's Theorem - Application (18:15)
- 4E: De Moivre's Theorem - Practice Worksheet
- 4F: Roots of Complex Numbers - Theory (17:21)
- 4F: Roots of Complex Numbers - Application (20:47)
- 4F: Roots of Complex Numbers - Practice Worksheet
- Integration - Chapter Introduction
- Integration - Cheat Sheet
- 7A: Rules for Integration - Theory (17:42)
- 7A: Rules for Integration - Application (13:05)
- 7A: Rules for Integration - Practice Worksheet
- 7B: Integrals with Inverse Trigonometric Functions - Theory (14:35)
- 7B: Integrals with Inverse Trigonometric Functions - Application (23:34)
- 7B: Integrals with Inverse Trigonometric Functions - Practice Worksheet
- 7C: Integration by Substitution - Theory (16:10)
- 7C: Integration by Substitution - Application (16:50)
- 7C: Integration by Substitution - Practice Worksheet
- 7D: Integration by Parts - Theory (15:44)
- 7D: Integration by Parts - Application (16:39)
- 7D: Integration by Parts - Practice Worksheet
- 7E: The Area Between Two Functions - Theory (16:47)
- 7E: The Area Between Two Functions - Application (31:22)
- 7E: The Area Between Two Functions - Practice Worksheet
- 7F: Solids of Revolution - Theory (20:19)
- 7F: Solids of Revolution - Application (27:00)
- 7F: Solids of Revolution - Practice Worksheet
Choose a membership tier
Both tiers are available with weekly, monthly, and annual membership options, so you can choose the plan that works best for you.
| Feature | Foundation | Mastery |
|---|---|---|
| Course videos | ✓ | ✓ |
| Worksheets and solutions | ✓ | ✓ |
| Topic cheat sheets | ✓ | ✓ |
| Examination preparation | ✓ | ✓ |
| Personalised subject support | ✕ | ✓ |
| Assignment draft feedback | ✕ | ✓ |
| Weekly support submissions | ✕ | ✓ |
| 24/7 access to subject matter experts | ✕ | ✓ |
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