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Foundations of Mathematics

Module 1

Logic & Proof

Propositional Logic & Truth Tables

Quantifiers & Predicate Logic

Direct Proof & Proof by Contradiction

Mathematical Induction

Module 1 Quiz

Module 2

Functions & Algebra

Functions: Domain, Range & Composition

Polynomial & Rational Functions

Exponential & Logarithmic Functions

Systems of Equations

Module 2 Quiz

Module 3

Trigonometry

Unit Circle & Trigonometric Functions

Trigonometric Identities

Law of Sines & Law of Cosines

Inverse Trigonometric Functions

Module 3 Quiz

Module 4

Introduction to Calculus

Limits & Continuity

The Derivative: Definition & Rules

Applications of Derivatives: Optimization

Definite & Indefinite Integrals

Module 4 Quiz

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MAT 101Logic & ProofMathematical Induction

Lesson· 25 min

Mathematical Induction

Writing on the board…

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Direct Proof & Proof by Contradiction

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Module 1 Quiz

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