-
Day 1 6
Functions
-
Harder graphs and transformationsLecture1.1
-
Solve inequalities using both algebraic and graphical techniquesLecture1.2
-
Inverse functions Parametric form of a functionLecture1.3
-
Remainder and factor theoremsLecture1.4
-
Sums and products of roots of polynomialsLecture1.5
-
Exam-style practice problemsLecture1.6
-
-
Day 2 5
Combinatorics
-
Permutations and combinations with probabilitiesLecture2.1
-
Proof involving perms and comsLecture2.2
-
Pigeonhole principleLecture2.3
-
Binomial expansion and Pascal’s triangleLecture2.4
-
Exam-style practice problemsLecture2.5
-
-
Day3 4
Trigonometric functions
-
Inverse trig functions and propertiesLecture3.1
-
Further trig identitiesLecture3.2
-
Double angle formulaeLecture3.3
-
T-formulae and R methodLecture3.4
-
-
Day 4 5
Calculus
-
Rates of change and related rates of changeLecture4.1
-
Calculus with motionsLecture4.2
-
Exponential growth and decay Integration by substitutionLecture4.3
-
Find derivatives of inverse functionsLecture4.4
-
Exam-style practice problemsLecture4.5
-
-
Day 5 7
Further calculus/proof/statistical analysis
-
Further integration techniquesLecture5.1
-
Volumes of solids of revolutionLecture5.2
-
Differential equationsLecture5.3
-
Mathematical inductionLecture5.4
-
Bernoulli and binomial distributionsLecture5.5
-
Normal approximation for the sample proportionLecture5.6
-
Exam-style practice problemsLecture5.7
-
-
Day 6 6
Vectors/revision
-
Vector representationLecture6.1
-
Addition and subtraction of vectorsLecture6.2
-
Modulus and unit vectorLecture6.3
-
Dot product, parallel and perpendicular vectorsLecture6.4
-
Vector with projectile motionLecture6.5
-
Exam-style practice problemsLecture6.6
-
This content is protected, please login and enroll course to view this content!