Development
QLSE
Business
Healthcare
Health & Fitness
Technology
Teaching
Lifestyle
Design
See the Curriculum Section for materials and enjoy learning with Imperial Academy.
Course Curriculum
| Sets | |||
| Introduction to Sets | 00:01:00 | ||
| Definition of Set | 00:09:00 | ||
| Number Sets | 00:10:00 | ||
| Set Equality | 00:09:00 | ||
| Set-Builder Notation | 00:10:00 | ||
| Types of Sets | 00:12:00 | ||
| Subsets | 00:10:00 | ||
| Power Set | 00:05:00 | ||
| Ordered Pairs | 00:05:00 | ||
| Cartesian Products | 00:14:00 | ||
| Cartesian Plane | 00:04:00 | ||
| Venn Diagrams | 00:03:00 | ||
| Set Operations (Union, Intersection) | 00:15:00 | ||
| Properties of Union and Intersection | 00:10:00 | ||
| Set Operations (Difference, Complement) | 00:12:00 | ||
| Properties of Difference and Complement | 00:07:00 | ||
| De Morgan’s Law | 00:08:00 | ||
| Partition of Sets | 00:16:00 | ||
| Logic | |||
| Introduction | 00:01:00 | ||
| Statements | 00:07:00 | ||
| Compound Statements | 00:13:00 | ||
| Truth Tables | 00:09:00 | ||
| Examples | 00:13:00 | ||
| Logical Equivalences | 00:07:00 | ||
| Tautologies and Contradictions | 00:06:00 | ||
| De Morgan’s Laws in Logic | 00:12:00 | ||
| Logical Equivalence Laws | 00:03:00 | ||
| Conditional Statements | 00:13:00 | ||
| Negation of Conditional Statements | 00:10:00 | ||
| Converse and Inverse | 00:07:00 | ||
| Biconditional Statements | 00:09:00 | ||
| Examples | 00:12:00 | ||
| Digital Logic Circuits | 00:13:00 | ||
| Black Boxes and Gates | 00:15:00 | ||
| Boolean Expressions | 00:06:00 | ||
| Truth Tables and Circuits | 00:09:00 | ||
| Equivalent Circuits | 00:07:00 | ||
| NAND and NOR Gates | 00:07:00 | ||
| Quantified Statements – ALL | 00:08:00 | ||
| Quantified Statements – THERE EXISTS | 00:07:00 | ||
| Negations of Quantified Statements | 00:08:00 | ||
| Number Theory | |||
| Introduction | 00:01:00 | ||
| Parity | 00:13:00 | ||
| Divisibility | 00:11:00 | ||
| Prime Numbers | 00:08:00 | ||
| Prime Factorisation | 00:09:00 | ||
| GCD & LCM | 00:17:00 | ||
| Proof | |||
| Intro | 00:06:00 | ||
| Terminologies | 00:08:00 | ||
| Direct Proofs | 00:09:00 | ||
| Proofs by Contrapositive | 00:11:00 | ||
| Proofs by Contradiction | 00:17:00 | ||
| Exhaustion Proofs | 00:14:00 | ||
| Existence & Uniqueness Proofs | 00:16:00 | ||
| Proofs by Induction | 00:12:00 | ||
| Examples | 00:19:00 | ||
| Functions | |||
| Intro | 00:01:00 | ||
| Functions | 00:15:00 | ||
| Evaluating a Function | 00:13:00 | ||
| Domains | 00:16:00 | ||
| Range | 00:05:00 | ||
| Graphs | 00:16:00 | ||
| Graphing Calculator | 00:06:00 | ||
| Extracting Info from a Graph | 00:12:00 | ||
| Domain & Range from a Graph | 00:08:00 | ||
| Function Composition | 00:10:00 | ||
| Function Combination | 00:09:00 | ||
| Even and Odd Functions | 00:08:00 | ||
| One to One (Injective) Functions | 00:09:00 | ||
| Onto (Surjective) Functions | 00:07:00 | ||
| Inverse Functions | 00:10:00 | ||
| Long Division | 00:16:00 | ||
| Relations | |||
| Intro | 00:01:00 | ||
| The Language of Relations | 00:10:00 | ||
| Relations on Sets | 00:13:00 | ||
| The Inverse of a Relation | 00:06:00 | ||
| Reflexivity, Symmetry and Transitivity | 00:13:00 | ||
| Examples | 00:08:00 | ||
| Properties of Equality & Less Than | 00:08:00 | ||
| Equivalence Relation | 00:07:00 | ||
| Equivalence Class | 00:07:00 | ||
| Graph Theory | |||
| Intro | 00:01:00 | ||
| Graphs | 00:11:00 | ||
| Subgraphs | 00:09:00 | ||
| Degree | 00:10:00 | ||
| Sum of Degrees of Vertices Theorem | 00:23:00 | ||
| Adjacency and Incidence | 00:09:00 | ||
| Adjacency Matrix | 00:16:00 | ||
| Incidence Matrix | 00:08:00 | ||
| Isomorphism | 00:08:00 | ||
| Walks, Trails, Paths, and Circuits | 00:13:00 | ||
| Examples | 00:10:00 | ||
| Eccentricity, Diameter, and Radius | 00:07:00 | ||
| Connectedness | 00:20:00 | ||
| Euler Trails and Circuits | 00:18:00 | ||
| Fleury’s Algorithm | 00:10:00 | ||
| Hamiltonian Paths and Circuits | 00:06:00 | ||
| Ore’s Theorem | 00:14:00 | ||
| The Shortest Path Problem | 00:13:00 | ||
| Statistics | |||
| Intro | 00:01:00 | ||
| Terminologies | 00:03:00 | ||
| Mean | 00:04:00 | ||
| Median | 00:03:00 | ||
| Mode | 00:03:00 | ||
| Range | 00:08:00 | ||
| Outlier | 00:04:00 | ||
| Variance | 00:09:00 | ||
| Standard Deviation | 00:04:00 | ||
| Combinatorics | |||
| Intro | 00:03:00 | ||
| Factorials | 00:08:00 | ||
| The Fundamental Counting Principle | 00:13:00 | ||
| Permutations | 00:13:00 | ||
| Combinations | 00:12:00 | ||
| Pigeonhole Principle | 00:06:00 | ||
| Pascal’s Triangle | 00:08:00 | ||
| Sequence and Series | |||
| Intro | 00:01:00 | ||
| Sequence | 00:07:00 | ||
| Arithmetic Sequences | 00:12:00 | ||
| Geometric Sequences | 00:09:00 | ||
| Partial Sums of Arithmetic Sequences | 00:12:00 | ||
| Partial Sums of Geometric Sequences | 00:07:00 | ||
| Series | 00:13:00 | ||
| Assignment | |||
| Assignment – An Introduction to Discrete Maths | 00:00:00 | ||
Quality Licence Scheme Endorsed Certificate of Achievement
Learners will get an endorsed certificate of achievement (included with the course) directly at their doorstep after successfully completing the package! It should be noted that international students must pay a £10 shipping cost.
For ordering additional QLS Certificates, other than this course, the fees will be following with £10 for international shipping only
- Level 1 - £109
- Level 2 - £115
- Level 3 - £119
- Level 4 - £125
- Level 5 - £129
- Level 6 - £135
- Level 7 - £139
CPD Accredited Certification
Upon successfully completing each of the courses in this package, you will
be qualified for CPD Accredited Certificates. Certification is available –
- PDF completely free of charge
- Hard copy for £3.99 each
It should also be noted that international students must pay a £10 shipping cost.
Endorsement
The Quality Licence Scheme has endorsed this course for its high-quality, non-regulated provision and training programmes. This course is not regulated by Ofqual and is not an accredited qualification. Imperial Academy will be able to advise you on any further recognition, for example, progression routes into further and/or higher education.
Imperial Academy is an approved reselling partner for Quality Licence Scheme courses under One Education
Recent Courses
