Weekly Course Contents and Study Materials for Preliminary & Further Study |
Week |
Topics (Subjects) |
Preparatory & Further Activities |
1 |
Logic: propositional logic, logical equivalence, predicates & quantifiers, and logical reasoning. |
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2 |
Sets: basics, set operations |
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3 |
Functions: one-to-one, onto, inverse, composition, graphs |
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4 |
Integers: greatest common divisor, Euclidean algorithm. |
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5 |
Sequences and Summations |
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6 |
Mathematical reasoning and induction: Proof strategies, Mathematical Induction, Recursive
definitions, Structural Induction |
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7 |
Counting: basic rules, Pigeonhole principle, Permutations and Combinations |
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8 |
Binomial coefficients and Pascal triangle. |
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9 |
Probability: Discrete probability. |
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10 |
Probability:Expected values and variance |
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11 |
Relations: Properties, Combining relations |
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12 |
Relations: Closures, Equivalence, Partial ordering |
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13 |
Graphs: directed |
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14 |
Graphs: undirected graphs |
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