Introduction to the elements of propositional logic, techniques of mathematical proof, and fundamental mathematical structures, including sets, functions, relations, and other topics as time permits. Mastery of this material is essential for students planning to major in mathematics.
5
UnitsOptional
Grading1, 2, 3
PasstimeUndergraduate students only
Level LimitLetters and science
CollegeAs others have indicated, lectures are flipped, with class time used for problem reviews/clarifications. I often struggle to keep up with real-time lectures, so this approach made the class much more accessible for me. 118 series is very difficult, but prof was caring and very approachable, emphasizing proof writing skills over regurgitation.
I took his class last year, and I very much enjoyed it. Because the classroom is flipped (lectures at home and problems in class), it took a little bit of time to get used to. However, as an aspiring teacher myself, I am always happy to see teachers/professors trying new things -- especially when they are as passionate as Carlos is!
Professor's teaching style focuses on practice problems and online resources. Lectures are pre-recorded, but the in-class time for solving problems is helpful. Unstuck ai and the free textbook were great study tools alongside the practice tests.
Lectures are recordings with notes (both handwritten and more polished typed-up notes) available online, while class times are used to go through practice problems. I prefer this format to standard in-class lectures (though ymmv), and the in-class practice problems helped me develop my intuition for real analysis. Tests are take-home over 24 hours.
UD students!! Garcia is the man for 118 series! You know the higher level math profs always get a bad rep w LD. Professor Garcia is the best math professor I've had at UCSB. He provides so many resources, and works so hard to ensure we have what we need to succeed. His lectures are illuminating, and the work is hard (118 is hard) but achievable.
Okay, here's the thing with Prof Garcia-Cervera: he is a good person and is accessible in office hours, but his method of teaching is difficult to follow. It did not work for me and made it hard for me to learn. I tried to follow the textbook and learn by myself but it is quite difficult in such an important class like Math 8. His exams are fair.