Applied Maths Notes & Exercises

 

Items in blue are relevant to STEP

Items in purple are outside F/M and STEP

 

 

Useful Results (3 pages; 10/11/18)

 

 

Mechanics Notes

 

Centre of Mass - Contents (2 pages; 7/8/17)

Centre of Mass - Part 1 (13 pages; 7/8/17)

Centre of Mass - Part 2 (12 pages; 7/8/17)

Circular Motion - Constant Speed (9 pages; 21/8/16)

Circular Motion - Variable Speed (13 pages; 30/9/15)

Differential equations: models (4 pages; 5/12/18)

Differential equations: Oscillations (11 pages; 5/12/18)

Energy (5 pages; 26/1/19)

Fictitious forces (5 pages; 9/7/15)

Forces: Connected particles (7 pages; 24/10/18)

Forces: Newton's 3rd Law (7 pages; 24/10/18)

Forces - Notes (6 pages; 14/11/18)

Frameworks (4 pages; 15/9/13)

Friction (3 pages; 24/10/18)

Gravitational Potential Energy (3 pages;15/2/19)

Hooke's Law (9 pages; 26/1/19)

Impulse & Momentum (14 pages; 19/2/17)

  Oblique impacts (4 pages; 23/8/18)

  Impulses & connected particles (13 pages; 28/8/18)

Kinematics (7 pages; 7/8/17)

Moments (12 pages; 11/3/17)

Moments of Inertia (7 pages; 23/3/18)

Projectiles (9 pages; 27/1/18)

Rolling wheels (12 pages; 14/11/18)

Rotating Bodies (5 pages; 22/3/18)

Rotating Bodies - examples (6 pages; 16/3/18)

Suvat equations (5 pages; 24/1/17)

Systems of forces (5 pages; 14/11/18)

 

 

Mechanics Exercises

 

Centre of Mass (3 page3; 7/8/17); Solutions (9 pages; 7/8/17)  

Circular Motion (1 page; 11/3/17); Solutions (2 pages; 11/3/17)  

Collisions (1 page; 3/3/14); Solutions (3 pages; 3/3/14)

Hooke's Law (1 page; 26/1/19); Solutions (5 pages; 26/1/19)

Impulse & Momentum (2 pages; 23/8/18); Solutions (9 pages; 23/8/18)

Kinematics (1 page; 11/3/17); Solutions (3 pages; 11/3/17)

Moments (4 pages; 11/3/17); Solutions (13 pages; 11/3/17)

Pulleys (2 pages; 11/3/17); Solutions (5 pages; 11/3/17)

Mechanics - Misc (2 pages; 26/1/19); Solutions (5 pages; 26/1/19)

 

 

Probability & Statistics Notes

 

Approximations to Binomial & Poisson (4 pages; 30/1/17)

Binomial distribution (7 pages; 16/2/17)

Confidence Intervals (different types) (3 pages; 16/4/16)

Contingency Tables & Goodness of Fit test (8 pages; 12/5/17)

Correlation & Regression (4 pages; 12/9/13)

Geometric distribution (3 pages; 12/11/18)

Hypothesis Tests (different types) (8 pages; 16/4/16)

Normal distribution (9 pages; 21/2/17)

Permutations & Combinations (3 pages; 8/9/13)

Poisson distribution (7 pages; 26/1/19)

Probability (2 pages; 25/3/18)

Probability Generating Functions (5 pages; 23/8/16)

Sampling (4 pages; 7/8/17)

Statistics - Miscellaneous (3 pages; 21/8/16)

 

 

Statistics Exercises

 

Statistics (3 pages; 21/2/17); Solutions (9 pages; 21/2/17)

 

 

 

Decision Maths Notes

 

Bin Packing Algorithms (3 pages; 7/8/18)

Critical Path Analysis - Part 1 (10 pages; 10/11/18)

Critical Path Analysis - Part 2 (13 pages; 10/11/18)

Dijkstra's Algorithm (5 pages; 5/9/13)

Floyd's Algorithm (10 pages; 9/3/14)

Graphs Glossary (3 pages; 15/1/14)

Hungarian Algorithm (9 pages; 28/8/17)

Linear Programming (4 pages; 23/1/14)

Formulating network problems as LP problems (7 pages; 7/8/18)

Logic: Implication (6 pages; 8/9/15)

Logic Methods (2 pages; 16/7/15)

Maximum Matching algorithm (4 pages; 6/9/13)

Minimum Connector Problem (6 pages; 2/1/14) 

Route Inspection Problem (5 pages; 12/9/17)

Simplex method - Part 1 (15 pages; 31/1/18)

Simplex method - Part 2 (16 pages; 31/1/18)

Travelling Salesman Problem (11 pages; 15/1/14)

 

 

Decision Maths Exercises

 

Boolean Algebra (2 pages; 16/7/15); Solutions (6 pages; 16/7/15)

Floyd's Algorithm (1 page; 9/3/14); Solutions (12 pages; 9/3/14

Linear Programming (1 page; 23/1/14); Solutions (3 pages; 23/1/14)

Logic Truth Tables (1 page; 16/7/15); Solutions (7 pages; 16/7/15)

Route Inspection (1 page; 14/12/13); Solutions (4 pages; 14/3/17)