Catalyst Academics is an ever-growing ecosystem of lessons, resources and support designed to keep improving alongside the students who use it.

On this page, you’ll find a full breakdown of the chapters and subchapters currently available in this course, as well as the content that is still in development. Students will be kept updated about upcoming releases, and your feedback will play an important role in shaping what we create next.

Where possible, we’ll use student requests and learning needs to prioritise the chapters and resources that will provide the greatest benefit!

Available Now

Explore the chapters and lessons currently available within this course:

1 DIFFERENTIAL CALCULUS

A. First principles
B. Simple rules of differentiation
C. The chain rule
D. The product rule
E. The quotient rule
F. Derivatives of exponential functions
G. Derivatives of logarithmic functions
H. Derivatives of trigonometric functions
I. Second derivatives 

3 APPLICATIONS OF DIFFERENTIAL CALCULUS
A. Equations of tangents
B. Stationary points
C. Inflections and shape
D. Kinematics
E. Rates of change
F. Optimisation 

4 INTEGRATION
A. The area under a curve
B. Antidifferentiation
C. The Fundamental Theorem of Calculus
D. Integration
E. Rules for integration
F. Integrating f(ax + b)
G. Definite integrals 

7 DISCRETE RANDOM VARIABLES
A. Random variables
B. Discrete probability distributions
C. Expected value
D. Variance and standard deviation
E. Properties of aX + b
F. The Bernoulli distribution
G. The binomial distribution

Currently in Development

See the content we're working on next, with future releases shaped and prioritised using your feedback:

2 FUNCTIONS
A. Exponential functions
B. Logarithms
C. Logarithmic functions
D. Trigonometric functions 

5 APPLICATIONS OF INTEGRATION
A. The area under a curve
B. The area between two functions
C. Kinematics
D. Problem solving by integration 

6 STATISTICS
A. Key statistical concepts
B. Measuring the centre of data
C. Variance and standard deviation 

8 CONTINUOUS RANDOM VARIABLES
A. Continuous random variables
B. Probability density functions
C. The normal distribution
D. Probabilities using a calculator
E. The standard normal distribution (Z-distribution)
F. Quantiles

 9 SAMPLING AND CONFIDENCE INTERVALS
A. Sampling distributions
B. Distributions of sample means
C. The Central Limit Theorem
D. Confidence intervals for means
E. Sample proportions
F. Confidence intervals for proportions