Math 111. Calculus II

May Term 2026

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Homework.

Course Description

The calculus of functions of one variable. Integration, applications of integration, sequences, and series. Prerequisite: Mathematics 110.

Textbook

Calculus Volume 2 by Strang, Herman, et. al., Open Stax.

The book is free online. You can find it here.

Topics to be covered

The following is a tentative list of topics that will be covered:

Chapter 1: Integtration
1.1 Approximating Areas
1.2 The Definite Integral
1.3 The Fundamental Theorem of Calculus
1.5 Substitution
1.6 Integrals Involving Exponential and Logarithmic Functions
1.7 Integrals Resulting in Inverse Trigonometric Functions

Chapter 2: Applications of Integration
2.1 Areas between Curves
2.2 Determining Volumes by Slicing
2.3 Volumes of Revolution: Cylindrical Shells
2.4 Arc Length of a Curve and Surface Area

Chapter 3: Techniques of Integration
3.1 Integration by Parts
3.2 Trigonometric Integrals
3.3 Trigonometric Substitution
3.4 Partial Fractions
3.6 Numerical Integration
3.7 Improper Integrals

Chapter 5: Sequences and Series
5.1 Sequences
5.2 Infinite Series
5.3 The Divergence and Integral Tests
5.4 Comparison Tests
5.5 Alternating Series
5.6 Ratio and Root Tests

Chapter 6: Power Series
6.1 Power Series and Functions
6.2 Properties of Power Series
6.3 Taylor and Maclaurin Series
6.4 Working with Taylor Series

Student Learning Outcomes

Some main learning outcomes include: 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.
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 almost 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 in class. 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.
The following dates are tentative:  

The first midterm will be on Friday May 15.

The second midterm will be on Friday May 22.

The third midterm will be on friday May 29.

The final exam will be a cumulative three hour exam. It will be on Friday June 5 from 9:00am to 12:00pm.

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.

Description of instructional time and expectations:

This course meets 4 times per week for 12 hours per week. The course carries 1.0 course credit (equivalent to four semester credit hours). Students are expected to devote a minimum of 45 hours of total work per week (in-class time plus out-of-class work) to this course.

Academic Honesty

Please read the College's information on Academic Honesty. If a student cheats in an exam, quiz or homework assignment, I will proceed with charging the student with the Academic Honesty Judicial Board. The usual (first) penalty is a 0 in the assignment on which the cheating occured plus some ethics lectures the student would take. The second penalty is usually suspension.

Academic Resources, Protocols, and Policies

Click here: Academic Resources, Protocols, and Policies

Last modified on May 11, 2026.