### Start AP Calculus Math Early

Please note this are the times this course will be taught

## PAY NOW

Start AP calculus Early

### \$535

This summer program will give students a head start in AP Calculus. In 33 live sessions, students will learn about transformation of functions and modeling with function, complex numbers, polynomials, composite and inverse functions, trigonometry, vectors and matrices, probabilities and combinatorics, series, and conic sections.

Live classes are held from 3-4pm CST on Mondays, Tuesdays, Thursdays, and Saturdays; 2-3pm on Wednesdays and Fridays; and 11am to 12pm CST on Sundays.

### Limits and Continuity

• Evaluating functions
• Inputs and outputs of a function
• Composing functions
• Quiz 1
• Lesson 1
• Piecewise functions
• Quiz 2
• Introduction to factoring
• Lesson 2
• Lesson 3
• Factoring by grouping
• Quiz 3
• Factoring quadratics with difference of squares
• Lesson 4
• Factoring quadratics with perfect squares
• Factoring higher degree polynomial
• Quiz 4
• Lesson 5
• Introduction to the trigonometric ratios
• The reciprocal trigonometric ratios
• Lesson 6
• The Pythagorean identity
• Quiz 5
• Special trigonometric values in the first quadrant
• Trigonometric identities on the unit circle
• Lesson 7
• Quiz 6
• Reducing rational expressions to lowest terms
• Lesson 8
• End behaviour of rational functions
• Discontinuities of rational functions
• Multiplying and dividing rational expressions
• Quiz 7
• Lesson 9

### Differentiation:definition and basic derivative rules

• Intro to slope-intercept form
• Writing slope-intercept equations
• Lesson 10
• Point-slope form
• Average rate of change
• Quiz 1
• Rational exponents Properties of exponents
• Lesson 11
• Quiz 2
• Introduction to logarithm
• Quiz 3
• Lesson 12

### Differentiation:Composite, implicit and inverse functions

• Composing functions
• Quiz 1
• Linear equations with unknown coefficients
• Lesson 13
• Intro to inverse functions
• Quiz 2
• Invertible functions
• Lesson 14

• Invertible functions
• Lesson 15
• Inverse trigonometric functions
• Lesson 16
• Quiz 3
• Inverse functions in graphs and tables
• Verifying inverse functions by composition
• Quiz 4
• Lesson 17

### Contextual application of differentiation

• Word problems with multiple units
• Linear equations word problems
• Interpreting function notation
• Average rate of change word problems
• Modelling with composite functions
• Lesson 18
• Quiz 1
• Modelling with right triangles
• Volume and surface area
• Quiz 2
• Lesson 19

### Applying derivatives to analyze functions

• Maximum and Minimum points
• Intervals where a function is positive, negative, increasing or decreasing
• Interpreting features of graphs
• Quiz 1
• Distance formula
• Lesson 20
• Square root equations
• Quiz 2
• Lesson 21
• Zero of polynomials
• Positive and negative of polynomials
• Quiz 3
• Lesson 22

### Integration and accumulation of change

• Completing the square
• Quiz 1
• Lesson 23
• Dividing quadratics by linear factors
• Dividing polynomials by linear factors
• Quiz 2
• Lesson 24
• Partial fraction expansion
• Summation notation
• Lesson 25

### Applications of integration

• Rational equations
• Square-root equations
• Extraneous solutions
• Lesson 26
• Sinusoidal equations
• Manipulating formulas
• Quiz 1
• Solving equations by graphing
• Lesson 27
• Quiz 2
• 2D vs. 3D objects
• Cavalieri’s principle and dissection method
• Quiz 3
• Lesson 28

### Parametric equations, polar coordinates, and vector-valued functions (BC only)

• Sector
• Vectors introduction
• Vector components
• Magnitude of vectors
• Lesson 29
• Scalar multiplication
• Direction of vectors
• Vector components from Magnitude and direction
• Lesson 30
• Arithmetic sequences
• Geometric sequences
• Quiz 1
• Summation notation
• Lesson 31
• Arithmetic series
• Lesson 32
• Geometric series( geometric series formula, finite series word problems, finite geometric series)
• Quiz 2
• End behaviour of rational functions
• Lesson 33