Math 115. Honors Calculus I
Single Variable Calculus (8th edition) by Stewart.
Topics to be covered
The following is a tentative list of topics that will be covered:
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
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
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.
4.1 Areas and distances
4.2 Definite integral
4.3 Fundamental theorem of calculus
4.4 Indefinite integrals
4.5 Substitution rule
5.1: Areas between curves
5.3: Volumes by cylindrical shells
5.5: Average value of a function
6.8: L’Hospitals Rule.
The course grade will be based on:
Midterm 1 20%,
Midterm 2 20%,
Midterm 3 20%
Final Exam 30%.
The class will meet daily through Zoom (the link will be posted on Moodle) from 10am to 11am. There will be lectures posted daily in
Moodle (together with lecture notes). The Zoom meetings are meant to be a space for you to work on problems with me, whereas the lectures are to be viewed
on your own time. Each video will consist of one section from the textbook.
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:
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 open on Saturday May 16 and close on Tuesday May 19 at 10am.
The second midterm will open on Saturday May 23 anc close on Tuesday May 26 at 10am.
The third midterm will open on Saturday May 30 and close on Tuesday June 2.
The final exam will be a cumulative three hour exam. It will open on Thursday June 4 at Noon and close on Friday at 5pm.
Students are expected to attend Zoom every day and to view all the videos posted.
- I will be available to meet through Zoom to answer questions..
- For all these topics there are also videos on YouTube explaining the topics. I highly recommend using the videos from
the Khan academy.
- Another useful online resource is Math tutor.
- The class will have four dedicated tutors: Jan Roessler, Joao Godoy, Karya Dean, and Zach Leonard. There will be weekly appointments to work on problems from the class.
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
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Last modified on May 13, 2019.