#### 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

#### Online Homework

#### Software

#### Final Exam

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

#### Textbook and Resources

- Main textbook: OpenStax Calculus Vol. 1 & Vol. 2

Sections in Schedule refer to OpenStax sections - Supplemental Calculus Notes, my lecture notes are based on this material
- Math Learning Center (Free Tutoring)

### This Week

**Mar 27**

**Topics:**Integral & Comparison Tests

**What to Read:**5.3-5.4

**Webwork Assignments:**3.3

**Book Problems:**

- Section 5.3 - The Divergence and Integral Test: 138-164
- Section 5.4 - Comparison Tests: 194-219

### Last Week

**Topics:**Infinite Series, Divergence Test

**What to Read:**5.2

**Webwork Assignments:**3.2

**Book Problems:**

- Section 5.2 - Infinite Series: 67-74, 87-96

### Homework

Title | Due Date | Week No. |
---|

### Schedule

**Topics:**Substitution, Areas

**What to Read:**5.5, 6.1

**Webwork Assignments:**

- Tutorial (0)
- Substitution (1.0)
- Area between curves (1.1)

**Book Problems:**

- Section 5.5 - Substitution: 261-287, 292-297
- Section 6.1 - Areas between Curves: 1-37

**Jan 24**First day of classes

**Topics:**Volumes

**What to Read:**6.2-6.3 (Vol. 1)

**Webwork Assignments:**

- Volumes (1.2)

**Book Problems:**

- Section 6.2 - Volumes by Slicing: 74-102

**Topics:**Arc Length, Average Value, Exponential Growth and Decay

**What to Read:**6.4, 6.8 (Vol. 1)

**Webwork Assignments:**1.3

**Book Problems:**

- Section 6.4 - Arc Length: 165, 171
- Section 6.8 - Exponential Growth and Decay: 352-369

**Handout**: Modeling Exponential Change

**NEXT WEEK**Test 1 on Feb 13, 8:30 AM – 9:30 AM

**Topics:**Integration by Parts, Trigonometric Integrals

**What to Read:**3.1-3.2 (Vol. 2)

**Webwork Assignments:**2.1-2.2

**Book Problems:**

- Section 3.1 - Integration by Parts: 7-21, 39-45
- Section 3.2 - Trigonometric Integrals: 69-91

**TEST 1**Feb 13, 8:30 AM – 9:30 AM

**Topics:**Partial Fractions, Numerical Integration

**What to Read:**3.4, 3.6

**Webwork Assignments:**2.3-2.4

**Book Problems:**

- Section 3.4 - Partial Fractions: 183-193, 197-205
- Section 3.6 - Numerical Integration: 299-315

**Topics:**Numerical Integration, Improper Integrals

**What to Read:**3.6-3.7

**Webwork Assignments:**2.5-2.6

**Book Problems:**

- Section 3.7 - Improper Integrals: 347-352, 355-371

**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

**Topics:**Sequences

**What to Read:**5.1

**Webwork Assignments:**3.1

**Book Problems:**

- Section 5.1 - Sequences: 23-37, 40-43, 46-53

**TEST 2**Mar 8, 8:30 AM – 9:20 AM

**Topics:**Rest, recover, & enjoy the turning of the season

**Mar 13-17**Spring Break - No Classes

**Topics:**Infinite Series, Divergence Test

**What to Read:**5.2

**Webwork Assignments:**3.2

**Book Problems:**

- Section 5.2 - Infinite Series: 67-74, 87-96

**Mar 27**

**Topics:**Integral & Comparison Tests

**What to Read:**5.3-5.4

**Webwork Assignments:**3.3

**Book Problems:**

- Section 5.3 - The Divergence and Integral Test: 138-164
- Section 5.4 - Comparison Tests: 194-219

**Topics:**Abs. Conv. & Ratio Test, Alternating Series

**What to Read:**5.5-5.6

**Webwork Assignments:**3.4

**Book Problems:**

- Section 5.5 - Alternating Series: 250-267
- Section 5.6 - Ratio Test: 317-327

**Test Review:**

**NEXT WEEK**Test 3 on Apr 10, 8:30 AM – 9:30 AM

**Topics:**Power Series

**What to Read:**6.1-6.2

**Webwork Assignments:**3.5

**Book Problems:**

- Section 6.1 - Power Series: 1-22, 33-42
- Section 6.2 - Properties of Power Series: 63-72, 87-101

**TEST 3**Apr 10, 8:30 AM – 9:30 AM

**Topics:**Taylor Series

**What to Read:**6.3-6.4

**Webwork Assignments:**3.6

**Test Review:**Power Series Review

**Book Problems:**

- Section 6.3 - Taylor and Maclaurin Series: 116-123, 140-149, 151-159
- Section 6.4 - Working with Taylor Series: 202-229

**Topics:**Parametric curves

**What to Read:**7.1-7.2

**Webwork Assignments:**4.1-4.3

**Book Problems:**

- Section 7.1 - Parametric Equations: 1-5, 10-48. Omit problems involving \(\sinh(x)\) and \(\cosh(x)\)
- Section 7.2 - Calculus of Parametric Curves: 62-82, 93-95, 108-111

**Apr 26**GREAT Day - No Classes

**Topics:**Polar Coordinates

**What to Read:**7.3

**Webwork Assignments:**4.4

**Book Problems:**

- Section 7.3 - Polar Coordinates: 125-148, 154-177

**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.**

Item | Percentage |
---|---|

Homework | 10 |

Tests | 60 |

Final | 30 |

Grade | Percentage |
---|---|

A | 94-100 |

A− | 90-93 |

B+ | 87-89 |

B | 83-86 |

B− | 80-82 |

C+ | 77-79 |

C | 73-76 |

C− | 70-72 |

D | 60-69 |

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