Math 110. Calculus I

Summer 2024

Instructor: Enrique Treviño
Lectures: TWRF 9:00am-11:50am in BR121.
Office: Brown Hall 123
Email:

Announcements

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 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 first midterm will be on Friday May 17 at 9am.

The second midterm will be on Friday May 24 at 9am.

The third midterm will be on Friday May 31 at 9am.

The final exam will be a cumulative three hour exam. It will be on Friday June 7 at 9am.

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

For all these topics there are also videos on YouTube explaining the topics. I recommend using the videos from the Khan academy.
Another useful online resource is Math tutor.

Description of instructional time and expectations:

This course meets 4 times per week for 12 hours per week. The course carries 1.0 course credit (equivalent to four semester credit hours). Students are expected to devote a minimum of 40 hours of total work per week (in-class time plus out-of-class work) to this course.

Academic Honesty

Academic honesty is expected of all students - and faculty. It is a central norm of academic life. Plagiarism is a serious violation of this norm. The scholarship you produce is the key determinant of my evaluation of you as a student. Therefore, if the words and ideas of others are represented in your work as your own - or if you recycle an earlier piece of your writing without indicating as such - you are committing academic fraud. You should assume that your work is being monitored for all possible plagiarism. Cases of fraud will be penalized, with outcomes ranging from an "F" for the offending assignment to an "F" for the course, and including a hearing before the Academic Honesty Judicial Board and the notification of the Dean of Students. Please refer to this helpful guide on the Writing Center page, and educate yourself about plagiarism and how to prevent it. You are obliged to discuss with me any concerns you have about whether your work conforms to the policy. See the Lake Forest College Statement on Academic Honesty and Plagiarism and the Academic Honesty section of the College Catalog for more information.

Academic Resources, Protocols, and Policies

Click here: Academic Resources, Protocols, and Policies

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.

Last modified on May 15, 2024.