Math 115. Honors Calculus I

Summer 2019

Instructor: Enrique Treviño
Lectures: TWRF 09:00am-11:50am plus 1:00-3:50 on R May 23, W June 5 and R June 6 in Buchanan 001
Office: Young Hall 105
Email:
Phone Ext.: #6187

Announcements

Textbook

Single Variable Calculus (8th 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
6.2 Exponential Functions and their derivatives
6.3 Logarithmic Functions.
6.4 Derivatives of Logarithmic Functions.
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

Chapter 5
5.1: Areas between curves
5.2: Volumes
5.3: Volumes by cylindrical shells
5.5: Average value of a function

Chapter 6
6.8: L’Hospitals Rule.

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 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 Wednesday May 22.

The second midterm will be on Wednesday May 29.

The third midterm will be on Wednesday June 5.

The final exam will be a cumulutive three hour exam.

The date for the final exam is June 8.

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.
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.

Last modified on May 13, 2019.