Mathematics Fundamentals for Years 10 to 12
Complete step by step mathematics video course covering all of the important topics.
Watch Promo Enroll in CourseYour Instructor
Mahya’s achievements include:
- Bachelor of Aeronautical Space Engineering with Honours Award from University of Sydney (this course required an ATAR of 99.4% or above for admission).
- Doctorate degree (PhD) in engineering from UTS.
- Former University of Sydney Academic Staff (School of Mathematics and School of Engineering and IT).
- Prestigious IBM PhD Fellowship Award (2016 and 2015).
- UTS President Scholarship (2014, 2015 and 2016).
- UTS International Research Scholarship (2013, 2014 and 2015).
- 10 years of professional experience teaching mathematics at secondary and tertiary level.
Mahya fell in love with mathematics when she was 12 and since then hasn’t stopped learning and sharing her love for mathematics. Mahya’s passion and ability for mathematics has impacted her life and career in countless ways and she is determined to help students discover the beauty and simplicity of mathematics. Her own experience has shown Mahya that mathematics know-how can equip students with the tools and confidence they need to succeed in any field they choose.
Course Curriculum
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Start1. Addition and Subtraction - Basics of Algebra (4:33)
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Start2. Multiplication - Basics of Algebra (4:38)
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Start3. Division - Basics of Algebra (9:04)
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Start4. Removing Grouping Symbols (6:17)
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Start5. Binomial Products (6:25)
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Start6. Difference of Two Squares (3:55)
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Start7. Perfect Squares (7:36)
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Start8. Examples - Expansion using Perfect Square and Difference of Two Squares Rules (8:04)
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Start9. Factorisation (5:44)
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Start10. Examples - Simple Factorisation (7:40)
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Start11. Factorisation Methods - Grouping in Pairs (5:16)
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Start12. Trinomials - factorisation Methods (3:35)
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Start13. Examples - trinomials - Factorisation Methods (4:48)
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Start14. Perfect Squares - Factorisation Methods (4:06)
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Start15. Example - Perfect Squares - Factorisation Methods (2:36)
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Start16. Difference of 2 Squares - Factorisation Methods (2:41)
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Start17. Example 1 - Difference of 2 Squares - Factorisation Methods (2:54)
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Start18. Sum of Two Cubes - Factorisation Methods (3:01)
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Start19. Difference of Two Cubes - Factorisation Methods (2:32)
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Start20. Example 1 - Difference of Two Cubes - Factorisation Methods (7:53)
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Start21. Example 1 - Factorisation (1:34)
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Start22. Example 2 - Factorisation (5:10)
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Start23. Completing the Square Part 1 (4:14)
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Start24. Completing the Square Part 2 (2:12)
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Start25. Example 1 - Completing the Square (3:04)
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Start26. Example 2 - Completing the Square (2:44)
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Start27. Simplifying Fractions (3:35)
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Start1. Introduction - Geometric Notations Part 1 (7:16)
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Start2. Introduction - Geometric Notations Part 2 (4:52)
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Start3. Example 1 - Finding the Value of an Angle (3:45)
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Start4. Example 2 - Finding the Value of an Angle (5:39)
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Start5. Example 3 - Finding the Value of an Angle (3:16)
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Start6. Special Properties of Angles Formed Between 2 Parallel Lines (6:33)
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Start7. Example 1 - Special Properties of Angles Formed Between 2 Parallel Lines (2:59)
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Start8. Example 2 - Special Properties of Angles Formed Between 2 Parallel Lines (4:05)
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Start9. Names of Triangles (2:04)
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Start10. Angle Sum of a Triangle (1:37)
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Start11. Exterior Angle of a Triangle (1:59)
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Start12. Congruent Triangles (7:22)
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Start13. Example 1 - Congruent Triangles (3:50)
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Start14. Example 2 - Congruent Triangles (5:16)
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Start15. Similar Triangles (5:16)
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Start16. Example 1 - Similar Triangles (6:42)
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Start17. Tests for Similar Triangles (4:58)
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Start18. Example 1 - Similar Triangles (6:57)
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Start19. Example 2 - Similar Triangles (4:44)
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Start20. Ratio of Intercepts (3:36)
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Start21. Example - Similar Triangles and ratio of intercepts (7:10)
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Start22. Pythagoras' Theorem (2:26)
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Start23. Example 1 - Pythagoras' Theorem (3:06)
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Start24. Example 2 - Pythagoras' Theorem (2:29)
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Start1. Definition of a Function Part 1 (5:14)
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Start2. Definition of a Function Part 2 (9:22)
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Start3. Definition of a Function Part 3 (5:27)
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Start4. Example 1 - Ordered Pairs and Definition of a Function (1:23)
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Start5. Example 2 - Which Curves are Functions (3:06)
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Start6. Function Notation Part 1 (3:37)
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Start7. Function Notation Part 2 (3:53)
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Start8. Example 1 - Function Notation (1:36)
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Start9. Example 2 - Function Notation (2:24)
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Start10. Example 2 - Function Notation (2:31)
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Start11. Example 4 - Function Notation (3:27)
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Start12. Introduction - Graphing Techniques (2:46)
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Start13. Intercepts - Graphing Techniques (2:44)
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Start14. Example - Intercepts - Graphing Techniques (4:18)
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Start15. Domain - Graphing Techniques (4:08)
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Start16. Range - Graphing Techniques (4:59)
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Start17. Increasing and Decreasing Functions (5:02)
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Start18. Example - Increasing and Decreasing Functions (2:31)
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Start19. Even and Odd Functions (4:49)
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Start20. Example - Odd and Even Functions (4:40)
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Start21. Sketching a Linear Function and Finding its Domain and Range (6:44)
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Start22. Domain and Range of Linear Functions (2:36)
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Start23. Domain and Range of Special Lines (6:25)
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Start24. Example - Domain and Range of Quadratics (6:37)
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Start25. Example 2 - Quadratic Functions (10:17)
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Start26. Absolute Value Functions (5:23)
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Start27. Example 1 Part 1 - Sketching Absolute Value Functions (6:35)
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Start28. Example 1 Part 2 - Sketching Absolute Value Functions (3:55)
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Start29. Example 1 Part 3 - Domain and Range of Absolute Value Functions (1:57)
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Start30. Example 2 Part 1 - Sketching Absolute Value Functions (5:16)
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Start31. Example 2 Part 2 - Sketching the Graph of an Absolute Value Function (3:04)
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Start32. Example 3 - Graphically Solving Equations Involving Absolute Values (5:08)
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Start33. Example 4 - Graphically Finding the Solution to an Inequality Involving Absolute Values (6:27)
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Start34. The Hyperbola (6:12)
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Start35. Asymptotes of a Hyperbola (4:29)
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Start36. Sketching the Graph of a Hyperbola (7:34)
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Start37. Example - Sketching the Graph of a Hyperbola (6:21)
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Start38. Equation of a Circle - Part 1 (6:07)
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Start39. Equation of a Circle - Part 2 (2:24)
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Start40. Example 1 - Graph of a Circle (3:38)
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Start42. Example 3 - Equation of a Circle (3:29)
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Start41. Example 2 - Equation of a Circle (5:24)
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Start43. Equation of a Semi-Circle (4:04)
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Start44. Example 1 - Graph of a Semi-Circle (2:48)
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Start45. Example 2 - Graph of a Semi-Circle (3:02)
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Start46. Graph of Exponential Functions (6:46)
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Start47. Exponential and Logarithmic Functions Part 2 (6:11)
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Start48. Cubic Function (1:56)
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Start49. Example - Domain and Range of Square Root (3:18)
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Start50. Example - Graphing a Cubic Function (6:21)
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Start51. Limits (4:57)
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Start52. Example 1 - Limits (3:29)
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Start53. Example 2 - Limits (2:30)
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Start54. Example 3 - Limits (1:31)
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Start55. Continuity (1:43)
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Start56. Example 1 - Graphing a Discontinuous Function (8:05)
"Mahya is an absolutely amazing tutor! I was struggling for a very long time with the advanced maths course but she helped me get over 90% in my final exam — definitely recommend her to anyone!"
- Lucy T., Learned Hub advanced maths student.
"Before Mahya, I had tried many tutors but no one was able to answer all my questions or give me a deep understanding of maths like Mahya did. She was the reason I was able to select extension 2 maths in year 12."
- Yvonne R., Bachelor of Bio-medical Science Newcastle University (ATAR 97).