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Discrete Maths Teaching is yet another 'Teacher's Choice' course from Teachers Training for a complete understanding of the fundamental topics. You are also entitled to exclusive tutor support and a professional CPD-accredited certificate in addition to the special discounted price for a limited time. Just like all our courses, this Discrete Maths Teaching and its curriculum have also been designed by expert teachers so that teachers of tomorrow can learn from the best and equip themselves with all the necessary skills.
Consisting of several modules, the course teaches you everything you need to succeed in this profession.
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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 |