==== Cameron Shotwell ==== Hi! I am a second year student intending to major in Math and Physics. I have taken Math 53, Math 55, and Physics 89 (like Math 54), but this is the first semester in which I am taking an upper division math class. I am currently taking Physics 5C, Physics 5CL, Math 104, Math 110, and Math 113. ==== Homework ==== My Homework 1 can be found {{ :math104-s22:s:cameronshotwell:math_104_homework_1 (1).pdf | here}}. My Homework 2 can be found {{ :math104-s22:s:cameronshotwell:math_104_homework_2_1_.pdf | here}}. My Homework 3 can be found {{ :math104-s22:s:cameronshotwell:math_104_homework_3.pdf | here}}. ==== Journal ==== **Jan 18th** We learned about the structure of the course and talked about $\N, \Z$, and $\Q$. My exercises for lecture 1 can be found {{: math104-s22:s:cameronshotwell:math_104_lecture_1_exercises.pdf |here}}. Note: Here I did Ross 1.11 in place of Ross 1.12 by accident. Ross 1.12 can be found in Homework 1, alternatively. **Jan 20th** Today we finished up with rational numbers by talking about the Rational Zeroes Theorem. We then discussed real numbers, the Archimedean Principle, and $\R$'s completeness. We then begun discussing sequences and convergence. My exercises for lecture 2 can be found {{ :math104-s22:s:cameronshotwell:math_104_lecture_2_exercises_cameron_shotwell.pdf |here}}. **Jan 25th** We used the definition of a limit of a sequence to prove some properties about sequences and their limits. My exercises for lecture 3 can be found {{ :math104-s22:s:cameronshotwell:math_104_lecture_3_exercises.pdf | here}}. I added Exercise 8.9 from Ross to the exercises from lecture since the results from Exercise 8.9 are used to solve 9.12 (c). **Jan 27th** We discussed properties of monotone sequences and defined limsup and liminf in the context of sequences. My exercises for lecture 4 can be found {{ :math104-s22:s:cameronshotwell:math_104_lecture_4_exercises.pdf | here}}. **Feb 1st** We discussed the properties of Cauchy sequences and introduced the notion of subsequences and subsequential limits and some of their properties.