Document Type
Syllabus
Publication Date
Fall 9-1-2024
Course Description
Math 361 is an introduction to real analysis. We will explore the foundations of real numbers, sequences, series, continuity, derivatives, and the Riemann integral.
Recommended Citation
Homayouni, Sirous, "MATH 361B Real Analysis Homayouni Fall 2024" (2024). All Course Syllabi. 949, Scholarly and Creative Work from DePauw University.
https://scholarship.depauw.edu/records_syllabi/949
COinS
Student Outcomes
Understanding of Convergence and Continuity: Students will be able to analyze sequences and series for convergence, including understanding the concepts of limit points and Cauchy sequences. Students will demonstrate proficiency in proving continuity of functions using epsilon-delta arguments. Measurable outcome: Students will correctly solve various convergence and continuity problems on assessments. 2. Rigorous Proof-Writing Skills: Students will develop the ability to construct clear, concise, and logically sound mathematical proofs. Measurable outcome: Students will write rigorous proofs for theorems related to real numbers, limits, and continuity. 3. Understanding of Differentiation and Taylor Series: Students will grasp the concept of differentiability, including the Mean Value Theorem and Rolle’s Theorem. Measurable outcome: Students will differentiate functions and find critical points.