Calculus is a classical branch of mathematics describing the relationship between local change and global accumulation. As its name suggests, calculus originally referred to a specific method of manipulating symbols formally, developed by Newton and Leibniz. It was later formalized by the limit theory, thanks to the work of Cauchy, Weierstrass, and other mathematicians.
This course is an introduction to limits and derivatives. Instead of establishing calculus in epsilon-delta language, we will mainly focus on formal calculations and its various applications to physics as well as engineering problems.
Isaac Newton and Gottfried Wilhelm Leibniz, Oxford University Museum of Natural History
Course: Math 10A
Title: Calculus I
Credit Hours: 4
Catalog Description: Differential calculus of functions of one variable, with applications. Functions, graphs, continuity, limits, derivatives, tangent lines, optimization problems.
Prerequisites: Math Placement Exam qualifying score, or AP Calculus AB score of 2, or SAT II Math Level 2 score of 600 or higher, or MATH 3C, or 4C.
Technology Requirement: This course requires that you have a stable internet connection to submit online assignments during the time available.
Instructor: Zhiyuan Jiang, email: z5jiang@ucsd.edu, Office: HSS 3062
Lectures: TuTh 2-4:50 pm, CENTR 222
TA: Haotian Qu
Discussion Section: WF 2-2:50pm(A01), 3-3:50pm(A02), PODEM 1A23
TA Office Hours: Friday 4-6 pm, HSS 3044
Tutor: Ketan Jain
Tutor's Office Hours: TBA
Supplemental Instruction: M 12-1:20 pm in TLC 1505, W 12-1:20pm on Zoom
SI leader: Emmerson Lahey
The required textbook for the course is OpenStax: Calculus, Volume 1 which is freely available online. You can buy a physical copy of the textbook in the Bookstore.
We will cover most of Chapters 1-4 in the text. Details can be found on the course calendar.
Homework: Graded homework will be assigned via Edfinity and will be accessible on Canvas. Please enroll in Edfinity directly from Canvas. You can buy access directly from Edfinity or through the Bookstore. No late submissions will be accepted.
Quiz: There will be 2 online quizzes (see the course calendar). They will be short quizzes highly related to previous homework.
Midterm: There will be one online midterm on Aug. 23rd (2:00 p - 3:00 p).
Final: The final exam is in-person on Sep. 7th (3 pm). The location is CENTR 222.
Grading: Your cumulative average will be computed by: 25% Homework + 15% Quizzes + 20% Midterm + 40% Final
Note on Scheduling: By enrolling in the class, you agree to take the exams and quizzes at the scheduled time. Exams will not be rescheduled to accommodate scheduling conflicts.
Academic Integrity: Academic integrity is very important at UC San Diego and academic dishonesty is considered a serious offense. Students caught cheating will face an administrative sanction which may include suspension or expulsion from the university. It is in your best interest to maintain your academic integrity. (Click here for more information.)
Please note the details listed in the syllabus are subject to change.