# Math 110. Calculus I

Summer 2022

• Instructor:         Enrique Treviño

• Lectures:           TWRF 9:00am-11:50am online

• Email:

Announcements

Homework.

Textbook

Calculus Volume 1 by Strang, Herman, et. al., Open Stax.

The book is free online. You can find it here.

Topics to be covered

The following is a tentative list of topics that will be covered:

Chapter 1
1.1 Review of functions (domain, range, symmetry)
1.2 Basic classes of functions
1.3 Trigonometric functions
1.4 Inverse Functions
1.5 Exponential and logarithmic functions

Chapter 2
2.1 A preview of Calculus
2.2 The limit of a function
2.3 The limit laws
2.4 Continuity
4.6 Limits at infinity and asymptotes

Chapter 3
3.1 Defining the Derivative
3.2 The derivative as a function
3.3 Differentiation rules
3.4 Derivatives as rates of change
3.5 Newton's Method.
3.6 The Chain Rule
3.7 Derivatives of inverse functions
3.8 Implicit Differentiation
3.9 Derivatives of exponential and logarithmic functions

Chapter 4
4.1 Related Rates 4.2 Linear approximations and differentials 4.3 Maxima and minima
4.4 Mean value theorem
4.3 Inflection points and concavity
4.7 Optimization problems
4.9 Newton's Method.
4.10 Antiderivatives

Chapter 5
5.1 Approximating Areas
5.2 The Definite integral
5.3 The Fundamental theorem of calculus
5.5 Substitution

The course grade will be based on:
Homework   10%
Midterm 1   20%,
Midterm 2   20%,
Midterm 3   20%
Final Exam   30%.

Online Instruction

The class will meet daily through Zoom (the link will be posted on Moodle) from 9am to Noon. There will be lectures posted daily in Moodle (together with lecture notes). The Zoom meetings are meant to be a space for you to work on problems with me, and for lectures. Homework

There will be written homework daily. The homework will be turned in and will reinforce the matertial learned in class. Collaboration in the homework is permitted, however you must write your own solutions in your own words (or symbols). You should submit your homework via Moodle. You must also support your answers with the intermediate steps you took to reach the answer.
You can find the homework assignments for this class below:
Homework.

Exams

On the midterms and the final exam you must work on the problems on your own. No collaboration permitted in the exams. The exams will be online, through Moodle. They will open for at least 24 hours, but once you start an exam, you have a limited amount of time to finish (90 minutes for midterms, 3 hours for the final)
The first midterm will open on Sunday July 10 and close on Tuesday July 12 at 10:30am.

The second midterm will open on Sunday July 17 anc close on Tuesday July 19 at 10:30am.

The third midterm will open on Saturday July 23 and close on Tuesday July 20 at 10:30am.

The final exam will be a cumulative three hour exam. It will open on Thursday July 28 at Noon and close on Friday July 29 at 5pm.

Attendance

Students are expected to attend Zoom every day.

Resources

• I will be available to meet through Zoom to answer questions..
• For all these topics there are also videos on YouTube explaining the topics. I highly recommend using the videos from the Khan academy.
• Another useful online resource is Math tutor.

Accommodations Statement

If you believe that you need accommodations for a disability, please consult with The Learning and Teaching Center. Since accommodations may require early planning and are not retroactive, please contact the center as soon as possible. For details about the services for students with disabilities and the accomodations process, visit http://www.lakeforest.edu/academics/resources/disability/.

You are also welcome to contact me privately to discuss your academic needs. However, all disability-related accommodations must be arranged through Teryn Robinson at the Learning and Teaching Center.

Summer policies, registration, etc.

If you are a student visiting the College from another institution or a high school, or a community member, please direct any questions about Access Summer policies, registration, billing, etc., to summer@lakeforest.edu.