# Math 110. Calculus I

Fall 2018

• Instructor:         Enrique Treviño

• Lectures:           MTWF 11:00am-11:50am in Young Hall 207

• Office:               Young Hall 105

• Email:

• Phone Ext.:        #6187

Announcements

Practice Problems for Midterm 3.

Practice Problems for Midterm 2.

Practice Problems for Midterm 1.

Here is a link to the Homework page: Homework.

Textbook

Single Variable Calculus (8th edition) by Stewart.

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. (This course meets the Quantitative Reasoning GEC requirement.)

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 Essential functions
1.3 Transfomations, combinations and compositions
1.5 The limit of a functions
1.6 Calculation limits
3.4 Limits at Infinity and Horizontal Asymptotes
1.8 Continuity

Chapter 2
2.1 Derivatives
2.2 Derivative of a function
2.3 Differential formulas
2.4 Derivatives of trigonometric functions
2.5 Chain rule
2.6 Implicit differentiation
2.8 Related Rates
2.9 Linear approximation

Chapter 3
3.1 Maximum and minimum values
3.2 Mean value theorem
3.3 Inflection points and concavity
3.7 Optimization problems
3.8 Newton's Method.
3.9 Antiderivatives

Chapter 4
4.1 Areas and distances
4.2 Definite integral
4.3 Fundamental theorem of calculus
4.4 Indefinite integrals
4.5 Substitution rule

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 weekly. 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 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. Also, no calculators or notes are permitted. I will provide simple calculators in the exam.

The first midterm will be on Tuesday October 2.

The second midterm will be on Wednesday November 7.

The third midterm will be on Tuesday December 4.

The final exam will be a cumulutive three hour exam.

The date for the final exam is Friday December 14 from 8:30 to 11:30 am.

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 and set up appointments for campus tutors 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 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.

Description of instructional time and expectations:

This course meets 4 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.