Setting up arithmetic

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Related lectures (30)

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Real Numbers Sequences

Explores real number sequences, convergence, limits, boundedness, and monotonicity.

Vector Spaces: Definitions and Examples

Covers the definition and examples of vector spaces, including subspaces and linear transformations.

Prelude: Linking Mathematics and Course Content

Introduces the course content by linking familiar mathematics with upcoming topics.

Additional Properties of Real Numbers

Explores the countability of subsets of real numbers and demonstrates that the set of real numbers is uncountable.

Real Numbers: Sets and Operations

Covers the fundamental concepts related to real numbers, including sets, notations, and operations.

Divergent Sequences

Explains divergent sequences and limits at infinity with examples.

Complexity of Algorithms: Proofs of Time Complexity

Covers the analysis of worst time complexity for algorithms and time complexity with real numbers and integers.

Roots of Real Numbers

Explores the properties and applications of roots of real numbers through practical examples.

Determinant Calculation

Explains the step-by-step process of calculating determinants using elementary row operations.

Integers Representation: Sign vs. Two's Complement

Explores integer representation methods, comparing sign-and-magnitude with two's complement, and introduces fixed-point and floating-point representations.