# Math 110. Calculus I

Summer 2023

• Instructor:         Enrique Treviño

• Lectures:           TWRF 9:00am-11:50am in BR121.

• Office:               Brown Hall 123

• 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

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 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 be on Friday May 19 at 9am.

The second midterm will be on Friday May 26 at 9am.

The third midterm will be on Friday June 2 at 9am.

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