# Math 111. Calculus II

Spring 2023

• Instructor:         Enrique Treviño

• Lectures:           MWF 2:30pm-3:50pm BR 121

• Office Hours:    MWF from 10am to 11:45am, and by appointment.

• Office:               Brown Hall 123

• Email:

• Phone Ext.:        #6187

Announcements

No class on Wednesday March 8 and Friday March 10.

Homework.

Course Description

The calculus of functions of one variable. Integration, applications of integration, sequences, and series. Prerequisite: Mathematics 110. (Under the Forester Fundamental Curriculum, this course meets the Quantitative Reasoning requirement. Under the old GEC, this course meets the Natural Science & Mathematics requirement.)

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:
• Mastery of techniques and applications of integration.
• Basic understanding of sequences and series.
• Mastery of manipulation of sequences and series.
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.

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 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 Wednesday February 22.

The second midterm will be on Wednessday March 29.

The third midterm will be on Wednessday April 26.

The final exam will be a cumulative three hour exam. It will be on Saturday May 6 from 1:30pm to 4:30pm.

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

• An important resource is the Quantitative Resource Center (QRC). You can find more information here.
• 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 also videos on YouTube explaining the topics. I recommend using the videos from the Khan academy.

Description of instructional time and expectations:

This course meets 3 times per week for 4.5 hours per week. The course carries 1.0 course credit (equivalent to four semester credit hours). Students are expected to devote a minimum of 12 hours of total work per week (in-class time plus out-of-class work) to this course.