Course description

Analysis-I is a foundational course in mathematical analysis that explores the concepts of real numbers, sequences, series, and functions. It covers topics such as limits, continuity, differentiability, and the rigorous development of calculus. Students will gain a deep understanding of mathematical proofs and problem-solving techniques. The course lays the groundwork for advanced studies in pure and applied mathematics. Ideal for students in mathematics, engineering, and related fields.

What will i learn?

• Describe the real line as a complete, ordered field, Use the definitions of convergence as they apply to sequences, series, and functions,
• Determine the continuity, differentiability, and integrability of functions defined on subsets of the real line, produce rigorous proofs of results that arise in the context of real analysis.