Math 115. Honors Calculus I

Summer 2019




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.


The course grade will be based on:
Homework   10%
Midterm 1   20%,
Midterm 2   20%,
Midterm 3   20%
Final Exam   30%.


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:


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.


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.


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

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

Last modified on May 13, 2019.