Math 110. Calculus I

Spring 2025

Instructor: Enrique Treviño
Lectures: MWF 1pm -2:20pm CA 300
Office Hours: MTWF from 11am to 11:30am and R from 9am to 11:00am, and by appointment.
Office: Brown Hall 123
Email:
Phone Ext.: #6187

Announcements

No class on Friday March 28.

Course Description

The calculus of functions of one variable. Limits, continuity, differentiation, and applications; a brief introduction to integration. Prerequisite: 3.5 years of high school mathematics (to include trigonometry) or Mathematics 105. (Under the Forester Fundamental Curriculum, this course meets the Quantitative Reasoning requirement. Under the old GEC, this course meets the Natural Science & Mathematics requirement.)

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

Student Learning Outcomes

Some main learning outcomes include:

Learn what limits are and be able to compute them in different settings.
Learn what derivatives are and be able to compute them in different settings.
Be able to apply the understanding of derivatives to solve optimization problems.
Understand what the Fundamental Theorem of Calculus is and why it is important.

In general, the goal is for the student to be able to learn Calculus in a way that it allows the student to apply it in science courses or higher level Mathematics courses.

Grading

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

Homework

There will be written homework daily. The homework will be turned in and will reinforce the material 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 in class. 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 following dates are tentative:

The first midterm will be on Friday February 21.

The second midterm will be on Friday March 21.

The third midterm will be on Friday April 11.

The final exam will be a cumulative three hour exam. It will be on Friday May 2 from 1:30pm to 4:30pm.

Attendance

Students are expected to come to every lecture and every exam. If the dates of the exams conflict with Lake Forest approved events, inform me as soon as possible.

Resources

An important resource is the Quantitative Resource Center (QRC). You can find more information here.
You can come to my office to ask questions.
If you want to ensure I'll be in my office, you can email me to set up an appointment to meet with me at a convenient time.
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.

Description of instructional time and expectations:

This course meets 3 times per week for 4.5 hours per week. The course carries 1.0 course credit (equivalent to four semester credit hours). Students are expected to devote a minimum of 12 hours of total work per week (in-class time plus out-of-class work) to this course.

Academic Honesty

Please read the College's information on Academic Honesty. If a student cheats in an exam, quiz or homework assignment, I will proceed with charging the student with the Academic Honesty Judicial Board. The usual (first) penalty is a 0 in the assignment on which the cheating occured plus some ethics lectures the student would take. The second penalty is usually suspension.

Academic Resources, Protocols, and Policies

Click here: Academic Resources, Protocols, and Policies

Last modified on March 26, 2025.