$600.00

**20 hours: Mon-Fri (9-10am + 3-4pm)**

**Date: 25-Oct-21 to 5-Nov-21**

Dr Amir presents online, in a lecture format, to a group of approved registered participants. Dr Amir designs the questions presented in this session based on Dr Amir's understanding of HSC and Mathematics Advanced and Dr Amir's Pedagogy. The materials presented are subject to Copy Right and can not be saved or copied or distributed in any format. Dr Amir presents from a selection of the following topics:

- Algebra
- Functions, graphs and transformations
- Horizontal/Vertical Dilation
- Horizontal/Vertical Translation
- Combined transformations
- Trigonometric Functions
- Trigonometric Identities, Equations
- Exponential functions
- Logarithmic functions/Equations
- Differentiation
- Logarithmic functions
- Trigonometric functions
- Exponential functions
- Anti-derivatives
- Increasing/decreasing curves
- Stationary/Turning Points
- Optimisation problems using differentiation
- Curve-sketching using the derivative
- Extending calculus
- Integration
- Trapezoidal rule
- Definite and indefinite integrals
- Logarithmic functions
- Trigonometric functions
- Exponential functions
- Areas enclosed by x or y axis
- Motion and rates
- Sequences and series
- Arithmetic sequences and series
- Geometric sequences and series
- Limiting sum
- Series and finance
- Arithmetic growth/decay
- Geometric growth/decay
- Simple/compound interest
- Annuities
- Loans and geometric series
- Probability/Statistics
- Displaying and interpreting data
- Bi-variate data
- Correlation and regression
- Line of best fit
- Least squares regression line
- Pearson correlation
- Standard deviation
- Variance
- Discrete/Continuous probability distributions
- Probability density functions (PDF)
- Cumulative distribution functions (CDF)
- Quantile/Percentile
- Z-scores
- Normal distribution

Registration is required by 22-Oct-21.

$500.00

**15 hours: Mon-Fri (10-11:30am)**

**Date: 25-Oct-21 to 5-Nov-21**

Dr Amir presents online, in a lecture format, to a group of approved registered participants. Dr Amir designs the questions presented in this session based on Dr Amir's understanding of HSC and Mathematics Advanced and Dr Amir's Pedagogy. The materials presented are subject to Copy Right and can not be saved or copied or distributed in any format. Dr Amir presents from a selection of the following topics:

- Financial Mathematics
- Tax
- Investments
- Depreciation
- Loans
- Simple/Compound Interest
- Inflation/Appreciation/Depreciation
- Shares
- Credit cards
- Declining-balance method
- Annuities
- Future/Present Value of an Annuity
- Loan Repayments
- Budgeting
- Simultaneous equations
- Break-even analysis
- Rates
- Ratios
- Fuel consumption rate
- Energy consumption rate
- Right angled trigonometry
- Angle of Elevation/Depression
- Sine Rule
- Cosine Rule
- Compass radial surveys
- Bearings
- Bi-variate data analysis
- Pearson Correlation
- Lines of best fit
- Z-scores
- Interpolation
- Extrapolation
- Probability/Statistical analysis
- Relative frequency
- Expected frequency
- Normal distribution
- Standardised score
- Pareto charts
- Box and whisker plots
- Outliers
- The critical path
- The Maximum flow minimum cut theorem
- Graphs and functions
- Parabola
- Exponential
- Hyperbola
- Reciprocal functions
- Networks
- Paths
- Cycles
- Trees
- Minimum Spanning Trees
- The shortest path
- The critical path
- Formulas
- Equations
- Linear relations
- Measurement
- Perimeter
- Area
- Volume
- Latitude/Longitude
- Time zones

Registration is required by 22-Oct-21.

$800.00

**10 hours: Mon-Fri (2-3pm)**

**Date: 25-Oct-21 to 5-Nov-21**

Dr Amir presents online, in a lecture format, to a group of approved registered participants. Dr Amir designs the questions presented in this session based on Dr Amir's understanding of HSC and Mathematics Advanced and Dr Amir's Pedagogy. The materials presented are subject to Copy Right and can not be saved or copied or distributed in any format. Dr Amir presents from a selection of the following topics:

- Graphs sketching
- Graphing Sums and products
- Absolute functions
- Square root functions
- Inverse functions
- Polynomials
- The remainder theorem
- The factor theorem
- Multiple zeros
- Probability/Statistics
- Combinatorics
- Factorial
- Ordered/Unordered selections
- Circle arrangements
- Pigeonhole principle
- Pascal's Triangle
- Binomial expansion/Theorem
- Binomial probability
- Binomial distributions
- Bernoulli distribution
- Normal approximations
- Sample proportions
- Exponential Growth/Decay
- Trigonometry
- Compound angles
- The sum of sine and cosine
- Inverse Trigonometric Functions
- Differentiating
- Integrating
- Integration by substitution
- Integration of trig functions
- Graphing inverse trig functions
- Double angle
- The t-formula
- Products to sums in trigonometry
- Mathematical induction: Series/Divisibility
- Vectors
- Vector components
- The dot product
- Projection of vectors
- Projectile motion
- The time equations of movement
- The equation of path
- Differential equations and its applications

Registration is required by 22-Oct-21.

$1,200.00

**10 hours: Mon-Fri (8-9am)**

**Date: 25-Oct-21 to 5-Nov-21**

- Complex numbers
- Square root of a complex number
- Argand Diagram
- Modulus and Argument
- Euler formula
- De Moivre's Theorem
- Complex numbers in quadratic equations
- Polynomials in complex numbers
- Roots of unity
- Roots of complex numbers
- Curves on complex plane
- Mathematical Proof
- Proof by contradiction
- Proof by counter-example
- Proofs by numbers
- Proofs by inequalities
- Proofs in inequalities
- 3D Vectors
- Angle between vectors
- Using vectors in geometry proofs
- Mathematical induction
- Series and sigma notation
- Recursive formula proofs
- Integration by substitution
- Integration: Partial fractions
- Integration by parts
- Integration of trigonometric functions
- Integration of inverse trig functions
- Integration of logarithmic functions
- Integration using t-formula
- Recurrence relations
- Velocity in terms of x
- Acceleration in terms of x
- Simple harmonic motion
- Projectile motion
- Forces and motion
- Equations of motion
- Resisted vertical motion
- Resisted projectile motion

Registration is required by 22-Oct-21.

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