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First Webinar  Oct 17 DM Notations
 Midterms  Jan. 8, 2024
 Finals  Mar. 5, 2024

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2023 PBA April Term 2023 PBA October Term BSc Computer Science Business Analytics Nanodegree Udacity Challenge: Front End Developer CM1020 Codeacademy Code Foundations  Code Academy Coursera CS50 CSS CSS Grid Discrete Mathematics Google IT Support Professional Certificate HarvardX ITP1 Teamtreehouse Udacity University of London UoL RPL
Category Archives: Study Notes
Day 59 – 1.205 Laws of sets: Commutative, associative and distributives – Set Identities
Set Identities: 1 – Commutativity Changing the order of elements won’t affect the results. Example in Arithmetics: 5 + 4 = 4 + 5 = 9 and 3 x 1 = 1 x 3 = 3 The addition and multiplication … Continue reading
Day 58 – Logic Laws
We can use logical equivalences to reduce complex formulas into simpler ones. Two new symbols Identity Law P and True will be true when both P and Tautology are true. P or False will be true when either is true, … Continue reading
Day 57 – Proofs with Truth Tables
Proofs using Truth Tables Formulas p and q are logically equivalent iff the truth conditions of p are the same as the truth conditions of q. p q x x y y Examples: p q p∧q p∨q ¬(p∨q) 1 1 … Continue reading
Day 56 – Truth Tables
Review: Each statement is TRUE (1) or FALSE (0). All connectives take a truth value and output a truth value.It means that depending on the connective, the truth value can change. Negation The negation is always the opposite of the … Continue reading
Day 55 – Propositional Logic
Propositional Logic A statement is a declarative sentence that can be True (1) or False (0). Examples: We cannot express things like questions, as questions cannot be true or false. We also cannot express with imperatives or commands, as those … Continue reading
Day 54 – De Morgan’s Law
De Morgan’s laws describe how mathematical statements and concepts are related through their opposites. In set theory, De Morgan’s laws relate to the intersection and union of sets through their complements. The structure of De Morgan’s laws, whether applied to … Continue reading
Day 53 – Set Representation and Manipulation
Universal Set A universal set is a set that contains everything. We note the universal set with the letter U. Venn Diagrams A Venn diagram is used to visualize the possible relations among a collection of sets. U is called … Continue reading
Day 52 – Alphabets and Strings in Discrete Math
A string is a finite sequence of symbols from an alphabet. A set of binary. The notation above means strings of combinations of 0 and 1. Example: A set of English alphabet. Strings: No limit, sets of strings from the … Continue reading
Day 51 – Algebra Review Part 1
Combining Like Terms Combining like terms with negative coefficients & distribution We group same terms. We use the precedent when noting negative or positive. Combining like terms with negative coefficients Note y is different y2. They cannot be added nor … Continue reading
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Tagged 2023 PBA October Term, Algebra, BSc Computer Science, Khan Academy, University of London
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Day 50 – Solving Quadratics by Factoring
We’re asked to solve for s. This is a quadratic equation. The best way to solve this as it’s equal to 0 is to factor the lefthand side, and then think about the fact that those binomials that you factor … Continue reading