This was an online class for the University of West Alabama in the Fall 2020 Semester. The subject matter is intermediate real analysis and brief survey of some fundamental methods in multivariate analysis. We used

These were the lectures for the course, many of these are directly from the text with a little added commentary. Later in the course I used

The Syllabus and Course Planner,

- Lecture 1: Set Theory
- Lecture 2: Relations
- Lecture 3: Functions
- Lecture 4: Cardinality
- Lecture 5: Induction
- Lecture 6: Ordered Fields
- Lecture 7: Completeness Axiom
- Lecture 8: Applications of Completness Axiom
- Lecture 9: Sequential Limits
- Lecture 10: Limit Laws
- Lecture 11: Monotone Sequences
- Lecture 12: Bolzano Weierstrauss
- Lecture 13: Limits Superior and Inferior
- Lecture 14: Topology
- Lecture 15: Limits of Functions
- Lecture 16: Limit Theorems
- Lecture 17: Continuity
- Lecture 18: Properties of Continuous Functions
- Lecture 19: Derivatives
- Lecture 20: Mean Value Theorem
- Lecture 21: Applications of Mean Value Theorem
- Lecture 22: Taylor's Theorem
- Lecture 23: Newton's Method and Contraction Mapping Theorem
- Lecture 24: Matrices
- Lecture 25: Frechet Derivative
- Lecture 26: Inverse Function Theorem, Intuitive Sketch
- Lecture 27: Eigenvectors and Quadratic Forms
- Lecture 28: Hessians and Eigenvalues

- Mission 1
- Solution of Mission 1 part A
- Solution of Mission 1 part B
- Mission 2
- Solution of Mission 2
- Mission 3
- Solution of Mission 3
- Mission 4
- Solution of Mission 4
- Mission 5
- Solution of Mission 5
- Mission 6
- Solution of Mission 6

Final Exam: (note, one of these problems is incorrect... which one ? ) Back to my Home

Last Modified: 12-17-2020