# Math 1A

## Calculus

Lectures TuTh 5:00-6:30pm, 155 Dwinelle Hall

Office hours W 2:00-4:00pm, Student Learning Center, and by appt.

#### Topics covered so far

• 08/28: Logistics. Preview of Calculus.
• 09/02: Sections 1.1, 1.2: Functions, graphs, domain and range.
• 09/04: Sections 1.3, 1.5: New functions from old. Inversion.
• 09/09: Section 1.6: Exponentials and Logarithms.
• 09/11: Sections 2.1, 2.2: Tangent and velocity. Limits.
• 09/16: Section 2.4: Rigorous definition of limit.
• 09/18: Sections 2.3, 2.4: Limit laws.
• 09/23: Sections 2.5, 2.6: Continuity. Infinite limits.
• 09/25: Sections 2.6, 2.7: Limits at infinity. Derivatives.
• 09/30: Section 2.8: Derivative as a function.
• 10/02: First midterm (in class).
• 10/07: Sections 3.1, 3.2: Derivatives of polynomials. Differentiation rules.
• 10/09: Sections 3.1, 3.3: Derivatives of exponentials and trigonometric functions.
• 10/14: Sections 3.4, 3.5: The chain rule. Implicit differentiation.
• 10/16: Sections 3.5, 3.6: Derivatives of inverse trigonometric and logarithmic functions.
• 10/21: Sections 3.8, 3.9: Exponential growth and decay. Related rates.
• 10/23: Section 3.10: Differentials and linear approximation. Introduction to Taylor series.
• 10/28: Section 4.1: Maxima and minima.
• 10/30: Sections 4.2, 4.3: Mean value theorem. Derivatives and graph shapes.
• 11/04: Sections 4.4, 4.5: Graph sketching. L'Hospital's Rule.
• 11/06: Section 4.7: Optimization problems.
• 11/11: No class - Veterans' Day.
• 11/13: Second midterm (in class).
• 11/18: Sections 4.8, 4.9: Newton's Method. Antiderivatives.
• 11/20: Sections 5.1, 5.2: Areas and distances. The definite integral.
• 11/25: Sections 5.3, 5.4: The Fundamental Theorem of Calculus. Indefinite integrals. Net change.
• 11/27: No class - Thanksgiving.
• 12/02: Sections 5.5, 6.1: The substitution rule. Areas between curves.
• 12/04: Sections 6.2, 6.3: Volumes. Washers and cylindrical shells.

### Syllabus

The syllabus for the course is everything covered in lectures as well as everything in the relevant sections of the course book. It is based on the official syllabus listed here.

### Discussions and GSIs

• 214, 215: Mengyuan Zhang, office hours Tu Th 2:10 - 3:10 pm in 842 Evans Hall.
• 205, 217: Kyle Miller, office hours Tu Th 2:30 - 3:30 pm in 850 Evans Hall.
• 204, 207: Chris Roman Miller, office hours M 3:00 - 4:00 pm and Tu 11:00 am - 12:00 noon in 854 Evans Hall.
• 211, 213: Alex Youcis, office hours Tu Th 2:00 - 3:00 pm in 1062 Evans Hall.
• 208, 212: Richard Zhang, office hours M 5:00 - 6:00 pm and W 4:00 - 5:00 pm in 848 Evans Hall.
• 201, 206: Dylan Yott, office hours M 12 noon - 2pm in 844 Evans Hall.
• 216, 208: Watson Ladd, office hours M Tu 4 - 5pm in 716 Evans Hall.
• 202, 210: Benjamin Gammage, office hours M 9:30 - 10:30 am and F 10:30 - 11:30 am in 845 Evans Hall.
• 203, 209: Ananth Sridhar, office hours M W 2:00 - 3:00 in 864 Evans Hall.

### Resources

• Textbook. James Stewart, Single Variable Calculus, 7th edition, custom Berkeley edition. Sections to be covered: 1.1-1.3; 1.5-1.6; 2.1-2.8; 3.1-3.6; 3.8-3.10; 4.1-4.5; 4.7-4.9; 5.1-5.5; 6.1-6.3.

The instructor welcomes cooperation among students and the use of books. However, handing in homework that makes use of other people's work (be it from a fellow student, a book or paper, or whatever) without explicit acknowledgement is considered academic misconduct.

UC Berkeley has a Honor Code, and to clarify the spirit and intent of the Honor Code, the ASUC and Academic Senate have developed an Honor Code Guide for Syllabi that is intended to be used either verbatim or adapted by faculty for inclusion into course syllabi.

All incoming students, both undergraduate and graduate, are introduced to the Honor Code as part of the registration process, and prominent placards stating the Honor Code are displayed in all general assignment classrooms. Additionally, an Academic Integrity webpage has been developed with multiple resources and relevant information for both instructors and students.

### Assignments

Homework is assigned and graded through WebWork to be access via Bcourses. An assignment becomes active every Monday at 6:00am and is due the following Monday at 6:00am. Every problem allows for an unlimited number of attempts to get it right. There is also an option to email an instructor with a question.

In addition to WeBWork, there will be weekly quizzes assigned and graded by the GSIs.

### Exams

The first midterm will be Thursday, October 2nd. The second will be on Thursday, November 13th. The final will be on Thursday December 18th. Your assessment in class will be based on the following:

• 30% homework and quizzes
• 20% 1st midterm
• 20% 2nd midterm
• 30% final