Department of Mathematics - SUNY Geneseo

#### Course Description

Topics studied are methods of integration, applications of definite integrals, sequences, improper integrals, series, parametric equations, and polar coordinates.

#### Instructor

Cesar Aguilar, South Hall 325A

#### Office Hours

MF 1:30 - 2:30, W 9:30 - 10:30

#### Class Meetings

MTWF 8:30 AM - 9:20 AM, Fraser 108

Webwork login

#### Final Exam

Wednesday, May 17, 8:00-11:20 AM

#### Textbook and Resources

1. Main textbook: OpenStax Calculus Vol. 1 & Vol. 2
Sections in Schedule refer to OpenStax sections
2. Supplemental Calculus Notes, my lecture notes are based on this material
3. Math Learning Center (Free Tutoring)

### This Week

Week 10: Mar 27 - Mar 31 | Today: Mar 27
Integral & Comparison Tests
Topics: Integral & Comparison Tests
What to Read: 5.3-5.4
Webwork Assignments: 3.3
Book Problems:

### Last Week

Week 9: Mar 20 - Mar 24
Infinite Series, Divergence Test
Topics: Infinite Series, Divergence Test
What to Read: 5.2
Webwork Assignments: 3.2
Book Problems:

### Homework

Title Due Date Week No.

### Schedule

Week 1:  Jan 23 - Jan 27
Substitution, Areas
Topics: Substitution, Areas
What to Read: 5.5, 6.1
Webwork Assignments:
1. Tutorial (0)
2. Substitution (1.0)
3. Area between curves (1.1)
Book Problems:
Jan 24 First day of classes
Week 2:  Jan 30 - Feb 03
Volumes
Topics: Volumes
What to Read: 6.2-6.3 (Vol. 1)
Webwork Assignments:
1. Volumes (1.2)
Book Problems:
Week 3:  Feb 06 - Feb 10
Arc Length, Average Value, Exponential Growth and Decay
Topics: Arc Length, Average Value, Exponential Growth and Decay
What to Read: 6.4, 6.8 (Vol. 1)
Webwork Assignments: 1.3
NEXT WEEK Test 1 on Feb 13, 8:30 AM – 9:30 AM
Week 4:  Feb 13 - Feb 17
Integration by Parts, Trigonometric Integrals
Topics: Integration by Parts, Trigonometric Integrals
What to Read: 3.1-3.2 (Vol. 2)
Webwork Assignments: 2.1-2.2
TEST 1 Feb 13, 8:30 AM – 9:30 AM
Week 5:  Feb 20 - Feb 24
Partial Fractions, Numerical Integration
Topics: Partial Fractions, Numerical Integration
What to Read: 3.4, 3.6
Webwork Assignments: 2.3-2.4
Book Problems:
Week 6:  Feb 27 - Mar 03
Numerical Integration, Improper Integrals
Topics: Numerical Integration, Improper Integrals
What to Read: 3.6-3.7
Webwork Assignments: 2.5-2.6
Book Problems:
Review Sheet for Test 2: REVIEW (omit Problems 5 & 8)
Feb 28 Diversity Summit - No Classes
NEXT WEEK Test 2 on Mar 8, 8:30 AM – 9:20 AM
Week 7:  Mar 06 - Mar 10
Sequences
Topics: Sequences
What to Read: 5.1
Webwork Assignments: 3.1
Book Problems:
TEST 2 Mar 8, 8:30 AM – 9:20 AM
Week 8:  Mar 13 - Mar 17
Rest, recover, & enjoy the turning of the season
Topics: Rest, recover, & enjoy the turning of the season
Mar 13-17 Spring Break - No Classes
Week 9:  Mar 20 - Mar 24
Infinite Series, Divergence Test
Topics: Infinite Series, Divergence Test
What to Read: 5.2
Webwork Assignments: 3.2
Book Problems:
Week 10:  Mar 27 - Mar 31 | Today: Mar 27
Integral & Comparison Tests
Topics: Integral & Comparison Tests
What to Read: 5.3-5.4
Webwork Assignments: 3.3
Book Problems:
Week 11:  Apr 03 - Apr 07
Abs. Conv. & Ratio Test, Alternating Series
Topics: Abs. Conv. & Ratio Test, Alternating Series
What to Read: 5.5-5.6
Webwork Assignments: 3.4
NEXT WEEK Test 3 on Apr 10, 8:30 AM – 9:30 AM
Week 12:  Apr 10 - Apr 14
Power Series
Topics: Power Series
What to Read: 6.1-6.2
Webwork Assignments: 3.5
Book Problems:
TEST 3 Apr 10, 8:30 AM – 9:30 AM
Week 13:  Apr 17 - Apr 21
Taylor Series
Topics: Taylor Series
What to Read: 6.3-6.4
Webwork Assignments: 3.6
Test Review: Power Series Review
Week 14:  Apr 24 - Apr 28
Parametric curves
Topics: Parametric curves
What to Read: 7.1-7.2
Webwork Assignments: 4.1-4.3
Book Problems:
Apr 26 GREAT Day - No Classes
Week 15:  May 01 - May 05
Polar Coordinates
Topics: Polar Coordinates
What to Read: 7.3
Webwork Assignments: 4.4
Book Problems:
Week 16:  May 08 - May 12
Arc Length and Areas in Polar Coordinates
Topics: Arc Length and Areas in Polar Coordinates
What to Read: 7.4
Book Problems:
May 10 Last day of classes

### Syllabus

#### Learning Outcomes

Upon successful completion of MATH 222 - Calculus II, a student will be able to:

#### Grading Scheme

Below is the tentative course grading scheme. The grading scheme may change during the semester at the discretion of the instructor. Any changes to the grading scheme will be announced in class before the final exam. If homework assignments are done in groups, then a student must achieve a passing grade in all individual assessments (e.g., tests and final exam) to pass the course.

ItemPercentage
Homework10
Tests60
Final30
GradePercentage
A94-100
A−90-93
B+87-89
B83-86
B−80-82
C+77-79
C73-76
C−70-72
D60-69
E< 60

#### Tests and Exam

There will be 3-4 tests scheduled evenly throughout the semester. The final exam is scheduled for Wednesday, May 17, 8:00-11:20 AM. The final exam will be cumulative, that is, any topic covered in the course could be tested in the final exam. There will be no make-up for a missed test or final exam under any circumstances. If a student misses a test and can present evidence of an extenuating circumstance then the weight of the missed test will be redistributed to the final exam weight. Having the cold or flu is not an extenuating circumstance. Examples of extenuating circumstances include a medical emergency, a serious prolonged illness, or the death of a member of your immediate family.

#### Homework

We will be using the online homework system called Webwork. Each Webwork assignment will have a due date and late submissions will not be accepted by the system after the deadline. A brief tutorial on how to use Webwork will be given on the first day of class. I encourage you to collaborate with your colleagues on your assignments/labs but your final submitted work should be your own (see Academic Dishonesty statement below).

#### Technology

Calculators are not permitted during the tests or final exam. However, I encourage you to use your calculator, Maple and other math software, WolframAlpha, and other forms of technology as you study and do your assignments. Both Maple and Mathematica can be downloaded from SUNY Geneseo Software page.

#### Office Hours and Math Learning Center

I encourage you to come to my office (South Hall 325A) whenever you are having trouble with any part of the course material, seeking academic advice, or you just want to chat about mathematics in general. If you want to meet with me outside of my office hours, you will need to make an appointment, preferably via email. I also encourage you to visit the Math Learning Center located in South Hall 332 where you can receive free tutoring on a walk-in basis by highly qualified upper level students. Access to in-person office hours and to the MLC will depend on social distancing guidelines set by the College.

#### Email Communication

I will do my best to reply to student email regarding the logistics of the course within 24 hours during the working week (Mon-Fri). However, due to the potential large volume of emails, inquiries regarding homework problems and/or specific course content should be made during office hours or after class.

#### Academic Dishonesty and Plagiarism

Please read, and follow, Geneseo's Academic Dishonesty and Plagiarism policy. Below is the definition of plagiarism and its consequences as described in SUNY Geneseo's Academic Dishonesty and Plagiarism statement:

Plagiarism is the representation of someone else's words or ideas as one's own, or the arrangement of someone else's material(s) as one's own. Such misrepresentation may be sufficient grounds for a student's receiving a grade of E for the paper or presentation involved or may result in an E being assigned as the final grade for the course.

If there is sufficient evidence of academic dishonesty on a homework assignment, all students involved will receive a zero score on the homework assignment and I will provide the department chairperson, the dean of academic planning and advising, and the student(s) with a written report of the violation, the penalty imposed and the counseling provided to the students involved. A second instance of academic dishonesty on a homework assignment will result in a final grade of E for the course for all students involved. Academic dishonesty on a test/final exam will result in a final grade of E for the course.

#### Academic Accommodations

SUNY Geneseo is dedicated to providing an equitable and inclusive educational experience for all students. The Office of Accessibility will coordinate reasonable accommodations for persons with documented physical, emotional, or cognitive disabilities, as well as medical conditions related to pregnancy or parenting. Students with letters of accommodation should submit a letter to each faculty member at the beginning of the semester and discuss specific arrangements. Please contact the Office of Accessibility Services for questions related to access and accommodations.

Office of Accessibility Services
Erwin Hall 22
(585) 245-5112
access@geneseo.edu
www.geneseo.edu/accessibility-office