# Math 110. Calculus I

Summer 2015

• Instructor:         Enrique Treviño

• Lectures:           TWRF 09:00am-11:50am in Young Hall 126

• Office:               Young Hall 105

• Email:

• Phone Ext.:        #6187

Announcements

Practice questions for section 4.3:
Section 4.3: 6, 8, 14, 20, 24, 26, 30, 38
Solutions to questions to practice from section 4.3.

Homework 14 due Thursday June 3 at the beginning of class consists of the following exercises from the book:
Section 4.1: 2, 4, 20, 22.
Section 4.2: 2, 6, 12, 18, 34, 38, 40.
Homeowork 14 Solutions.

Homework 13 due Wednesday June 3 at the beginning of class consists of the following exercises from the book:
Section 3.9: 2, 8, 14, 22, 34, 40, 42, 56, 60.
Homeowork 13 Solutions.

Homework 12 due Tuesday June 2 at the beginning of class consists of the following exercises from the book:
Section 3.7: 20, 24.
Section 3.8: 8, 12, 14, 16, 22, 28, 34.
Homeowork 12 Solutions.

Homework 11 due Friday May 29 at the beginning of class consists of the following exercises from the book:
Section 3.3: 2, 6, 8, 10, 14, 16, 28, 30. (Note: I initially mislabeled the exercises as 2, 6, 8, 10, 18, 24, 32).
Section 3.7: 2, 4, 6, 14, 60b.
Homeowork 11 Solutions.

Homework 10 due Thursday May 28 at the beginning of class consists of the following exercises from the book:
Section 3.2: 2, 6, 8, 10, 18, 24, 32.
Homeowork 10 Solutions.

Homework 9 due Wednesday May 27 at the beginning of class consists of the following exercises from the book:
Section 3.1: 4, 6, 32, 40, 46, 52, 56, 65.
Homeowork 9 Solutions.

Homework 8 due Tuesday May 26 at the beginning of class consists of the following exercises from the book:
Section 2.8: 4, 6, 8, 18, 21.
Section 2.9: 2, 6, 12, 16, 24, 26, 32, 42.
Homeowork 8 Solutions.

Homework 7 due Friday May 22 at the beginning of class consists of the following exercises from the book:
Section 2.5: 8, 12, 16, 26, 44, 48, 52, 62, 74.
Section 2.6: 6, 8, 12, 14, 21, 30.
Homeowork 7 Solutions.

Homework 6 due Thursday May 21 at the beginning of class consists of the following exercises from the book:
Section 2.3: 26, 28, 30, 32, 40, 68.
Section 2.4: 2, 4, 12, 24, 50.
Homeowork 6 Solutions.

Homework 5 due Wednesday May 20 at the beginning of class consists of the following exercises from the book:
Section 2.2: 2, 8, 20, 22, 36.
Section 2.3: 2, 4, 6, 10, 14, 18, 78.
Homeowork 5 Solutions.

Homework 4 due Tuesday May 19 at the beginning of class consists of the following exercises from the book:
Section 1.8: 4, 10, 18, 24, 42, 46.
Section 2.1: 6, 8, 14, 18, 22.
Homeowork 4 Solutions.

Homework 3 due Friday May 15 at the beginning of class consists of the following exercises from the book:
Section 1.6: 2, 12, 18, 24, 42, 50.
Section 3.4: 4, 12, 14, 18, 20, 36.
Homeowork 3 Solutions.

Homework 2 due Thursday May 14 at the beginning of class consists of the following exercises from the book:
Section 1.3: 2, 4, 10, 14, 32, 46, 52.
Section 1.5: 4, 6, 12, 16, 23.
Homeowork 2 Solutions.

Homework 1 due Wednesday May 13 at the beginning of class consists of the following exercises from the book:
Section 1.1: 4, 8, 14, 34, 48, 64.
Section 1.2: 2, 4, 10, 20.
Homeowork 1 Solutions.

Textbook

Single Variable Calculus (7th edition) by Stewart.

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

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 must also support your answers with the intermediate steps you took to reach the answer.
You can find the homeworks for this class here.

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 May 19.

The second midterm will be on Wednesday May 27.

The third midterm will be on Tuesday June 2.

The final exam will be a cumulutive three hour exam.

The dates for the final exam is June 5.

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

• 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.
• You can make appointments with tutors at the Math Resource Center. Click on the link to make an appointment.
• 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.

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.