## ANALYSIS 1A: SECOND ASSESSED HOMEWORK Solutions.

To confidently solve differential equations, you need to understand how the equations are classified by order, how to distinguish between linear, separable, and exact equations, and how to identify homogenous and nonhomogeneous differential equations. Learn the method of undetermined coefficients to work out nonhomogeneous differential equations.

Solve the exam problems on your own sheets of paper. You do not need to rewrite the questions - just write the problem number. The exam is open book. Additionally, you may consult your lecture notes, homework assignments, the first two midterms, and the practice problems to the exams. You are not allowed to seek help from other human beings, online resources, or any other resources not.

Homework Guidelines: English teachers tell their students explicitly how to format their papers: what fonts, what page margins, what style guides, etc. Math teachers, on the other hand, frequently just complain amongst themselves in the faculty lounge about how messy their students' work is. Meanwhile, their students wonder why they've lost points on homework and tests.

Maths Problems, Questions and Online Tests. Free online maths problems, questions and self tests on precalculus topics. Answers and detailed solutions are provided.

Additional questions for independent study and practice are given as homework. Resources All learning materials for this unit such as handwritten lecture notes, tutorial sheets, solutions to tutorials, and further handouts can be found in the Resources page in Canvas. Recorded lectures can be found in the Lecture Recordings section in Canvas. Textbook Daniel Daners, Real and Complex Analysis.

You can nd the o cial syllabus, notes, and some homework sheets there. Contents 1. Introduction1 2. Seminormed commutative algebra5 3. The Berkovich spectrum8 4. Berkovich discs16 5. Strictly k-a oinoid spaces26 6. A noid spaces and the structure sheaf40 7. Local rings and residue elds53 8. Global Berkovich spaces61 9. Analyti cation75 References78 1. Introduction Berkovich spaces are analytic.

Homework Homework is the component of the course where you will learn the most --- by far. Homework problems will be assigned regularly, approximately 10 proofs per week. See below for administrative details. Exams The two midterm exams will be closed-book and closed-notes. Most of the exams will consist of short-answer, matching, multiple choice, fill-in-the-blank, and reading comprehension.