Specification points
SQA Advanced Higher Mathematics of Mechanics C802 77
28 points in 3 topics, with SQA's codes and titles.
Grade boundaries·SQA command words
Codes and titles are read by a script from SQA's published specification and have not been checked by a person. What each point covers is in the specification itself: SQA’s specification.
1 Forces, energy and momentum
- 1.1 Applying impulse, change in momentum and conservation of momentum
- 1.2 Determining and applying work done by a constant or variable force
- 1.3 Kinetic and potential energy, and the work–energy principle
- 1.4 Determining the turning effect of force
- 1.5 Using moments to find the centre of mass of a body
- 1.6 Using Newton’s First and Third laws of motion to understand equilibrium
- 1.7 Static and limiting friction on bodies in equilibrium
2 Straight line, periodic and parabolic motion
- 2.1 Motion in one dimension: graphs, calculus and equations
- 2.2 Applying displacement, velocity and acceleration vectors to resultant and relative motion
- 2.3 Applying Newton’s Second Law of motion, including situations involving dynamic friction
- 2.4 Projectiles moving with parabolic motion
- 2.5 Motion in horizontal and vertical circles
- 2.6 Simple harmonic motion and Hooke’s Law
3 Mathematical techniques for mechanics
- 3.1 Partial fractions
- 3.2 Differentiating, exponential, natural logarithmic, and trigonometric functions
- 3.3 The chain rule, and the product and quotient rules
- 3.4 Finding the derivative where relationships are defined implicitly or parametrically
- 3.5 Integrating expressions using standard results
- 3.6 Integrating using a substitution
- 3.7 Integrating by parts
- 3.8 Applying integration to a range of physical situations
- 3.9 Solving a first-order linear differential equation with variables separable
- 3.10 Solving a first-order linear differential equation using an integrating factor
- 3.11 Solving a second-order homogeneous differential equation
- 3.12 Applying mathematical techniques to problems