# Math 110. Calculus I

Fall 2022

• Instructor:         Enrique Treviño

• Lectures:           TR 9:30am-10:50am BR 124, W 10:00am-10:50am BR 121

• Office Hours:    MWF from 8am to 9am, MF from 10-11am, TR from 8:30 to 9:30am, and by appointment.

• Office:               Brown Hall 123

• Email:

• Phone Ext.:        #6187

Announcements

No class on Thursday October 6.

Homework.

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.

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 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 Thursday September 22.

The second midterm will be on Thursday October 20.

The third midterm will be on Thursday November 17.

The final exam will be a cumulative three hour exam. It will be on Monday December 12 from 8:30am to 11:30am.

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.
• There is a tutor for this class provided by the Math department. The tutor is Kristina Kelu Mutuku and she's available on Tuesdays from 4pm to 6pm in room BR 316 and on Thursdays from 4pm to 6pm in room BR 216.

Description of instructional time and expectations:

This course meets 3 times per week for 4 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.

Accommodations Statement