ABOUT THIS COURSE
Course Description
Our 2Unit Mathematics Course effectively simulates a onetoone teaching experience, where learning can conveniently take place anywhere. Work with a qualified, knowledgeable and supportive instructor. To either get the edge in Maths or consolidate on prior learning, SKY Academy offers you the skills and knowledge needed to fully understand the different concepts and disciplines covered in the modules.
To keep you ahead of the game, the course is organised as follows:
 19 chapters modules, being on average about 10 to 20 episodes.
 more than 260 episodes totalling over 50 hours,
 each episode averages 5 to 15 minutes, combining both animation and explicit instructions.
The Features and Benefits
Improve your results and career prospects with the following features of this course platform:
 It’s an online videobased course with effective quality instruction and further live support structures.
 Designed to cover the NSW HSC 2 Unit Mathematics curriculum systematically and thoroughly.
 Explicit instruction and animations to be confusionclearing and engaging
 Students will gain the best of the teacher’s knowledge and expertise.
 Topic summaries at the end of each module to consolidate and cater for wholistic learners
 Follow up tasks after each episode.
The Course Will Allow You To:
 have 24/7 access, giving you the freedom to revisit lessons as often as you like
 Study at your own pace without stress at home
 Pause, rewind or repeat a lesson until you really get it
 Be monitored and supported by the chief instructor himself
 Gain understanding and confidence especially in areas where you struggled before
 Be more confident in class
2Unit Mathematics Course just works. Our students’ feedback and testimonials say a lot about how effective it is!
CURRICULUM
1.  Introduction and the Real Number System  9:30 
2.  Fractions, Decimals and Percentages  
3.  Recurring Decimals  6:55 
4.  Mixed Numerals and Improper Fractions  5:19 
5.  Equivalent Fractions and Simplifying Fractions  7:22 
6.  Addition and Subtraction of Fractions  13:54 
7.  Multiplication and Division of Fractions  10:54 
8.  Order of Operation  8:29 
9.  Multiplication and Division of Decimals  7:25 
10.  Addition and Subtraction of Decimals  7:04 
11.  Scientific Notation  16:22 
12.  Significant Figures  11:08 
13.  Irrationals – Roots and Powers of Squares and Cubes  6:23 
14.  Proving Root 2 is Irrational  6:25 
15.  Simplifying Surds  6:45 
16.  Addition and Subtraction of Surds  5:22 
17.  Multiplication and Division of Surds  5:22 
18.  Distributive Law and Surds  8:17 
19.  Surds – Rationalising the Denominator  8:16 
1.  Collecting Like Terms  15:05 
2.  Multiplying Pronumeral Expressions  10:05 
3.  Substitution into Formula  4:36 
4.  Expanding Brackets  7:20 
5.  Expanding Binomial Products  10:05 
6.  Expanding Perfect Cubes  9:30 
7.  Basic Factorisation  6:51 
8.  Factorisation – Grouping in Pairs  8:27 
9.  Factorisation – Difference between 2 Squares  4:22 
10.  Factorisation – Sum and Difference of 2 Cubes  9:56 
11.  Factorisation of Quadratic Trinomials  4:06 
12.  Factorising Trinomials – Product Sum Method  5:57 
13.  Factorising Trinomials – Cross Method  9:19 
14.  Algebraic Fractions – Addition & Subtraction  19:16 
15.  Algebraic Fractions – Simplifying, Multiplication & Division  4:26 
16.  Summary 
1.  Single Variable Equations  13:29 
2.  Single Variable Equations ( 2)  9:28 
3.  Inequalities  11:11 
4.  Harder Inequalities  19:57 
5.  Absolute Values  14:28 
6.  Graphing Absolute Values  18:35 
7.  Quadratic Equations  7:08 
8.  Product Sum Method  6:58 
9.  Cross Method  10:14 
10.  Completing the Square  11:16 
11.  Quadratic Formula  7:12 
12.  Problems involving Quadratics  9:52 
13.  Simultaneous Linear Equations – Substitution Method  5:53 
14.  Simultaneous Linear Equations – Elimination Method  10:07 
15.  Problems involving Simultaneous Linear Equations  7:55 
16.  Simultaneous Equations involving Quadratics  11:34 
17.  Summary 
1.  Definitions  11:14 
2.  Functions and Notations  3:26 
3.  Domain and Range  7:12 
4.  Combining Functions  6:45 
5.  Odd and Even Functions  9:01 
6.  Composite Functions  5:37 
7.  Function Circle  4:40 
8.  Function Circle (Part 2)  9:37 
9.  Functions – Semicircle  7:48 
10.  Types of Functions  6:30 
11.  Rectangular Hyperbola (Part 1)  9:10 
12.  Rectangular Hyperbola (Part 2)  3:20 
13.  Graphing Regular Inequalities  5:12 
14.  Graphing Regular Inequalities (Part 2)  5:58 
15.  Summary 
1.  Midpoint Formula  6:04 
2.  Distance between 2 points  8:23 
3.  Gradient Formula  8:04 
4.  Gradient Intercept Form  8:54 
5.  Point Gradient Form  4:53 
6.  TwoPoint Form  5:26 
7.  General Form  9:05 
8.  Parallel and Perpendicular Lines  5:44 
9.  Parallel and Perpendicular Lines (Part 2)  5:19 
10.  Intersecting Lines  4:45 
11.  Simultaneous Equations (Part 1: Elimination)  10:05 
12.  Simultaneous Equations (Part 2: Substitutions)  5:45 
13.  Horizontal Vertical lines  4:38 
14.  Perpendicular Distance  5:39 
15.  Concurrent Lines  7:52 
16.  Inequations and Regions  5:30 
17.  Summary  6:57 
18.  Perpendicular Distance Formula  12:13 
19.  Summary 
1.  Recognizing Quadratics  6:44 
2.  Factorisation Techniques for Quadratics  4:42 
3.  Product Sum Method  6:52 
4.  Cross Method  10:19 
5.  Completing the Square Method  11:11 
6.  Quadratic Formula  7:16 
7.  Applying the Quadratic Formula  6:14 
8.  Geometrical Applications of the Quadratic Formula  6:10 
9.  Graphing Quadratics (Part1)  8:59 
10.  Graphing Quadratics (Part2)  7:28 
11.  Quadratic Inequalities  7:57 
12.  Relationship between the Roots and Coefficient  4:36 
13.  Example of Relationships Roots & Coefficient  6:40 
14.  Equations Reducible to Quadratics  8:45 
15.  The Discriminant  13:11 
16.  Applications of the Discriminant  9:03 
17.  Simultaneous Equations  10:29 
18.  Maxima and Minima Problems involving Quadratics  3:30 
19.  The Locus and Parabola  10:39 
20.  Shifting the Parabola  5:36 
21.  Summary 
1.  Trigonometric Ratios  6:25 
2.  Pythagoras Theorem  4:37 
3.  Minute Angles  3:55 
4.  Exact Values  10:37 
5.  Bearings  5:38 
6.  Bearing Examples  8:34 
7.  NonRight Angle Triangles  6:21 
8.  Area of Triangles  5:29 
9.  Sine Rule (Part 1)  7:30 
10.  Sine Rule (Part 2)  4:40 
11.  Cosine Rule  7:37 
12.  Elevation and Depression (Part 1)  7:48 
13.  Elevation and Depression (Part 2)  5:12 
14.  Working with Trigonometric Ratios  10:25 
15.  Summary  5:21 
1.  The Unit Circle (Part 1)  9:52 
2.  The Unit Circle (Part 2)  7:09 
3.  Symmetry Properties of TrigRatios  9:15 
4.  Symmetry Properties of TrigRatios (Part 2)  7:32 
5.  Reciprocal TrigRatios  2:31 
6.  Complimentary Angles  3:11 
7.  Angles of any Magnitude  9:39 
8.  Fundamental Identities  3:29 
9.  Trigonometric Identities  9:01 
10.  Graphing Trigonometric Functions  10:19 
11.  Summary  7:05 
1.  Index Laws  4:52 
2.  Index Laws (Example)  6:04 
3.  Negative Indices  8:37 
4.  Fractional/Rational Indices  4:00 
5.  Fractional/Rational Indices (Examples)  6:12 
6.  Introduction to Logarithms  4:15 
7.  Logarithmic Laws  3:34 
8.  Change of Base Law  5:41 
9.  Examples involving Logarithms  7:51 
10.  Examples involving Logarithms 2  7:23 
11.  Graphing Exponential and logarithmic functions  8:29 
12.  Summary  6:09 
1.  Introduction and Definitions  12:01 
2.  Theorems vs. Axioms  4:51 
3.  Building a Useful Vocabulary  8:12 
4.  Vertically Opposite Angles  4:39 
5.  Angles on Parallel Lines  6:56 
6.  Theorems for Angles of a Triangle  10:14 
7.  Angle Sum of a Quadrilateral  3:08 
8.  Angles of a Polygon  6:38 
9.  Congruent Triangles Tests  6:46 
10.  Similar Triangles Tests  5:37 
11.  Properties of Special Quadrilaterals  
12.  Equal Intercepts  
13.  Intercept on the Midpoint of a Triangle  
14.  Pythagoras Theorem  
15.  Area of 2D Shapes  
16.  Volume of 3D Objects  
17.  Summary 
1.  Introduction  4:15 
2.  Types and Terms  4:56 
3.  Sigma Notation  6:31 
4.  More Sigma Notation  5:30 
5.  Arithmetic Sequence (Part 1)  8:25 
6.  Arithmetic Sequence (continued)  5:05 
7.  Geometric Sequence (Part 1)  8:11 
8.  Formula for Geometric Series  4:50 
9.  Limiting Sum  5:12 
10.  Summary  2:39 
11.  Arithmetic Series Application  6:39 
12.  Geometric Series Application Question  
13.  Recurring Decimals as a limiting sum  
14.  Compound Interest as Geometric Series  
15.  Annuities  11:48 
16.  Time Payments  14:13 
17.  Summary 
1.  Limits (Part 1)  6:55 
2.  Limits (Part 2)  5:12 
3.  Continuity  5:52 
4.1  Differentiation Principles (1)  4:11 
4.2  Differentiation Principles (2)  5:00 
4.3  Differentiation Principles (3)  3:21 
4.4  Differentiation Principles (4)  6:10 
5.  Shortcut Method Differentiation  5:28 
6.  Differentiating Negative and Fractional Indices  10:32 
7.  Notations  5:28 
8.  Combining Functions  5:05 
9.  Chain Rule  5:55 
10.  Product Rule  9:38 
11.  Quotient Rule  4:24 
12.  Summary 
1.  Gradient Tangent  3:48 
2.  Stationary Points  7:02 
3.  2nd Derivative Concavity  8:27 
4.  2nd Derivative  9:46 
5.  Summary so far  5:28 
6.  Global/Local Maximum and Minimum  5:58 
7.  Tangents and Normals to the Curve  7:08 
8.  Primitives and AntiDerivatives  8:35 
9.  Maxima and Minima Problems  
10.  Geometrical Applications and Curve Sketching  9:48 
11.  Summary 
1.  Introduction to Integration  3:56 
2.  Integral Notation  12:38 
3.  The Definite Integral  12:38 
4.a  Deriving the Fundamental Theorem of Calculus (Part 1)  
4.b  Deriving the Fundamental Theorem of Calculus (Part 2)  
5.  The Indefinite Integral  10:18 
6.  Approximations of Area  3:28 
7.  The Trapezoidal Rule  12:19 
8.  Simpsons Rule  13:24 
9.  Area Below the X axis  6:30 
10.  Areas bounded by the X axis  6:30 
11.  Area Between 2 Curves  13:06 
12.  Area Between 2 Curves Extension  13:04 
13.  Areas bounded by the Y axis  14:16 
14.  Volumes of Solids of Revolutions  7:20 
15.  Volumes of Solids of Revolutions Examples  9:47 
16.  Summary  9:07 
1.  Introduction: Notation and Definitions  7:23 
2.  Complementary Events  4:27 
3.  Manually and Non Mutually Exclusive Events (The Addition Principle)  8:26 
4.  Successive Outcomes (Multiplication Principle)  10:33 
5.  Independent Events  10:57 
6.  Dependent Events – Sampling without Replacement  12:53 
7.  Sampling without Replacement (Large Population)  8:52 
8.  Summary  7:24 
1.  Introduction and the Radian Measure  12:14 
2.  Exact Values using Radians  13:19 
3.  Length of an Arc  4:31 
4.  Area of a Sector  5:08 
5.  Area of a Segment  7:44 
6.  Trigonometric Equations  12:10 
7.  Variations on sin, cos and tan Graphs  
8.  Graphing Functions of Reciprocal Trig Ratios  
9.  Derivatives of sin, cos and tan  10:34 
10.  Differentiation of Trigonometric Functions – Examples  8:59 
11.  Integration of Trigonometric Functions  3:39 
12.  Integration of Trigonometric Functions – Examples  6:51 
13.  Application of Calculus to Trigonometric Functions  13:08 
14.  Summary  13:56 
1.  Introduction to Exponential and Logarithmic Functions  6:08 
2.  Differentiating Exponentials of the Form y=a^x  11:22 
3.  Introducing Euler’s Number and Derivatives of Exponential Functions  12:28 
4.  Differentiating and Integrating Exponential Functions – Examples  24:14 
5.  Differentiating Logarithmic Functions  7:43 
6.  Differentiating Logarithmic Functions – Examples  7:56 
7.  Integration Leading to Logarithmic Functions  8:08 
8.  Applications of Calculus to Exponential and Logarithmic Functions  14:43 
9.  Summary of Exponential and Logarithmic Functions  5:44 
1.  Introduction to Application of Calculus to the Physical World  4:44 
2.  Rates of Change  10:12 
3.  Rates of Change – Examples  14:25 
4.  Growth and Decay  12:19 
5.  Growth and Decay – Examples  17:47 
6.  Motion  9:34 
7.  Motion – Examples  20:40 
8.  Motion – Interesting Motion Graphs  6:48 
9.  Summary of Application of Calculus to the Physical World  8:27 
INSTRUCTOR BIOGRAPHY
Seungwun Yi
Principal and Chief Director of Sky Academy
Seung has been a qualified high school teacher in the NSW educational system for the past 10 years teaching in all walks of life. His university training as a Mathematics teacher is highlighted by the elusive perfect score in 2 of his subjects and near perfect scores for the rest of his Masters degree. He has also been involved in tutoring industry for most in his life being the second generation owner of a tutoring business. Seung has worked with over 150 students intensively in the last decade and over 2000 in a school setting with impressive results. He is committed to improving the results of his students, living life and influencing others by the mottos: “Get Stuff Done and Do it Well” and “Give a Stuff where others Don’t” to extraordinary effect on his student’s results.
REVIEWS
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Anthony
Just to let you know that he was very happy today as he got many answers right in his Maths test at school to the fact we did work with him on the topics. Thanks for helping him. He is happier child since starting tutoring with you.

Jamie
Thank you so much Seung, I got 82 in Mathematics and ended up with an 85.55 ATAR so I was pretty stocked. Thank you so much, I would not reach stray final mark without your tutoring!

Alex
Hello Seung. It's been a pleasure getting taught by you :) I got the atar I expected 85.95

Hi Seung. Thought you might be interested to know that my son felt really good about the exam. He said he thought it was easier than he expected. Here's hoping his result will be reasonable. Thanks Again

Maree
Hello Seung. You are very good at what you do. I have recommended you to a work colleague for his son.

Just wanted to let you know that I got 82 for my hsc exam mark!! Thank you so much for all your help and tutoring.

Thank you Seung. We will be in touch with you again. She found the sessions with you really useful and is grateful for your support.

She was feeling really good after last night's session so hopefully she will be more comfortable going into exam.

Hey Seung, just though I'd let you know that I got 71% for my math exam! I'm really happy with my mark, so thank you so much for tutoring last term.