# MATH 142 Fall 2016

## Sections 005 & 006

### Meeting Times and Office Hours

Lectures: |
Sections 005 & 006 | TTh |
11:40 AM - 12:55 PM | LeConte 412 |

Computer Labs: |
Section 005 | W |
8:30 AM - 9:20 AM | LeConte 102 |

Section 006 | W |
9:40 AM - 10:30 AM | LeConte 102 | |

Problem Sessions: |
Section 005 | F |
8:30 AM - 9:20 AM | LeConte 121 |

Section 006 | F |
9:40 AM - 10:30 AM | LeConte 121 | |

Office Hours: |
Francisco | MTWThF |
2:00 PM - 3:00 PM | LeConte 314D |

Jeremiah | MTTh |
M : 8:30 AM - 10:30 AM T : 10:30 AM - 11:30 AM Th: 3:00 PM - 4:00 PM |
LeConte 300K |

### Important deadlines you need to know

- The semester begins Thursday, August 18th, and ends Friday, December 2nd.
- The deadline to drop/add and the last day to audit/change credit is Wednesday, August 24th. The first day in which a "W" grade is assigned is therefore Thursday, August 25th.
- The last day to obtain a "W" grade or to elect a pass/fail grade is Monday, October 10th. The first day in which a "WF" grade is assigned is therefore Tuesday, October 11th.

### Prerequisites

Qualifications earned by grade of **C** or better in MATH 141.

### Text

*Calculus. Early Transcendentals* by George B. Thomas Jr. (custom edition for the University of South Carolina). **Pearson**

Thomas' Calculus Early Transcendentals Custom Edition for the University of South Carolina | Student Solutions Manual, Single Variable, for Thomas' Calculus: Early Transcendentals |

### Calculator

A graphing calculator is required for parts 4 and 5 of this course (see Lesson Plan below). Either the TI-83 or TI-84 is preferred, and as a matter of fact, highly recommended. A TI-89 or a similar calculator with a computer algebra system is not allowed on examinations.

TI-83 Plus Graphing Calculator | TI-84 Plus Graphing Calculator |

### Course Structure and Grading Policies

Your final score for the course will be computed as follows:

`F = 0.1 * (HW + Q + CL + ME1 + ME2 + ME3 + ME4) + 0.3 * FE`-
**Homework assignments**: (up to 100 points) 10% of the course grade.

Starting on August 25th, a selection of problems from your textbook will be posted on MyMathLab on the day of the lecture, and will be graded. You will have until the end of the next class day to complete the assignment (e.g. what is posted on Tuesday is due on Thursday at 11:59PM; what is posted on Thursday is due on Tuesday at 11:59PM)

In order to register for your section of the course on MyMathLab, visit www.mymathlab.com and click on [Student]. The course ID for my sections is

Click [here] to retrieve further registration/sign-in instructions.`blanco-silva23096` -
**Quizzes**: (up to 100 points) 10% of the course grade.

A 15-minute quiz will be given in every recitation, except on the week of a midterm exam, or the last week of classes. Occasionally, pop-quizzes will be given during lectures, and review quizzes will be offered through MyMathLab. At the end of the course, you will hopefully have taken at least 10 quizzes. If that is the case, only the 10 best scores will count toward your quiz average. -
**Computer Labs**: (up to 100 points) 10% of the course grade. -
**Tests**: (up to 100 points each) 40% of the course grade (10% each test).

There will be four in-class tests scheduled as follows:Test # Date **1**Tu, Sep 20 **2**Th, Oct 20 **3**Tu, Nov 03 **4**Tu, Nov 22 -
**Final Exam**: (up to 100 points) 30% of the course grade.

The final exam is scheduled on Tuesday, December 6th, 2016 at 12:30 PM.

- Participation in an authorized University activity (such as musical performances, academic competitions, or varsity athletic events in which the student plays a formal role in a University sanctioned event)
- Required participation in military duties
- Mandatory admission interviews for professional or graduate school which cannot be rescheduled
- Participation in legal proceedings or administrative duties that require a student’s presence
- Death or major illness in a student’s immediate family
- Illness of a dependent family member
- Religious holy day if listed on www.interfaithcalendar.org
- Illness that is too severe or contagious for the student to attend class
- Weather-related emergencies

The course grade will be determined as follows:

GRADE | RANGE |
---|---|

A |
90%-100% |

B+ |
85%-89% |

B |
80%-84% |

C+ |
75%-79% |

C |
70%-74% |

D+ |
65%-69% |

D |
60%-64% |

F |
below 60% |

### Further Information

**Honor Code:**The Honor Code applies to all work for this course. Please review the Honor Code at [this link]. Students found violating the Honor Code will be subject to discipline.- Class notes and other additional material will be stored in Dropbox. In that case, you will need an account to retrieve it. If you do not have one already, sign-in through [this link] with your academic e-mail address to receive a base 4GB storage, plus an extra 500MB, free of charge.
- Remember to change your e-mail address on Blackboard if necessary [blackboard.sc.edu]
**Office of Student Disability Services**: If you have special needs as addressed by the*Americans with Disabilities Act*and need any assistance, please notify the instructor immediately.- The Math Tutoring Center is a free tutoring service for MATH 111, 115, 122, 141, 142, and 170. The center also maintains a list of private tutors for math and statistics. The center is located in LeConte, room 105, and the schedule is available at the Department of Mathematics website (www.math.sc.edu). No appointment is necessary.
**Student Success Center:**

In partnership with University of South Carolina faculty, the Student Success Center (SSC) offers a number of programs to assist you in better understanding your course material and to aid you on your path to success. SSC programs are facilitated by trained undergraduate peer leaders who have previously excelled in their courses. Resources available to students in this course include:**Peer Tutoring:**You can make a one-on-one appointment with a peer tutor by going to www.sc.edu/success. Drop-in Tutoring and Online Tutoring may also be available for this course. Visit the previous website for a full schedule of times, locations, and courses.**Success Connect:**Throughout the semester, I may communicate with the SSC regarding your progress in the course. If contacted by the SSC, please schedule an appointment to discuss campus resources that are available to you. Success Connect referrals are not punitive and any information shared by me is confidential and subject to FERPA regulations.

- The Supplemental Instructor is Lyndsey Reynolds. You can find schedule and contact information at www.sa.sc.edu/supplementalinstruction/ or in Lyndsey's page at sites.google.com/site/uscsupplementalinstruction/home/math-142/005-006.

## Learning Outcomes

A student who successfully completes Calculus II (MATH 142) should continue to develop as an independent learner with the ability to approach problems from a conceptual viewpoint, to utilize more than one idea in a single problem, and to apply appropriate calculus skills to problems in context. In particular, the successful student will master concepts and gain skills needed to solve problems related to:

- Basic Techniques of integration
- Substitution
- Integration by parts
- Trigonometric integrals and trigonometric substitution
- Partial fractions

- Definite integrals via the Fundamental Theorem of Calculus, and Improper integrals
- Convergence of sequences and series
*n*-th term test (for divergence)- Integral test
- Comparison test
- Ratio test
- Root test
- Alternating series test

- Power series
- Taylor and Maclaurin series, with applications
- Parameterized plane curves, their tangents and arc length
- Objects in polar coordinates, their area and length

### Lesson plan

- Part 1: Integration.
**Th Aug 18**: Syllabus. Calculus review.**Tu Aug 23**: 5.5. The substitution method.

[p.345 #1--34, 49, 51, 55]**Th Aug 25**: 8.2. Integration by parts.

[p.467 #1--24]**Tu Aug 30**: 8.3. Trigonometric integration.

[p.474 #1,3--7,9,11,12,13,16,18,19,21,33--38,45,51,52,55]**Th Sep 01**: 8.4. Trigonometric substitutions.

[p.479 #1--14]**Tu Sep 06**: 8.5. Partial fraction decomposition (I).**Tu Sep 08**: 8.5. Partial fraction decomposition (II).

[p.487 #1--12,15,16,19,20,24,34,37]**Tu Sep 13**: 5.4. The Fundamental Theorem of Calculus.

[p.336 #1--22,39a--44a]**Th Sep 15**: 8.8. Improper integrals.

[p.513 #1--15,21,22,24,25,26]**Tu Sep 20**: First Test. Sections 5.4, 5.5, 8.2---8.5, 8.8.- Part 2: Sequences and series.
**Th Sep 22**: 10.1. Sequences.

[p.581 #1--6, 13--26, 29--34, 37,40,47,48,**53,54**]**Tu Sep 27**: 10.2. Introduction to infinite series.

[p.591 #1,2,5,6,8,9,11,12,15,17,27--36,41,44]**Th Sep 29**: 10.3. The Integral test.

[p.589 #1--10,14]**Tu Oct 04**: 10.4. Comparison tests.

[p.603 #1--14]**Th Oct 06**: Classes canceled**Tu Oct 11**: 10.5. Alternating series.

[p.615 #1--14]**Tu Oct 18**: 10.6. Absolute and conditional convergence. Ratio and root tests.

[p.609 #1--5,9,10,11]**Th Oct 20**: Second Test. Sections 10.1---10.6.- Part 3: Power Series.
**Tu Oct 25**: 10.7. Power series.

[p.624 #1,2,4,5,10,12,13,18,19,23,32,33,34,41,44,50]**Th Oct 27**: 10.8. Taylor and MacLaurin series.

[p.625 #54--58. P.630 #1--7,11,14,18,22']**Tu Nov 01**: 10.10. Applications of Taylor polynomials.**Th Nov 03**: Third Test. Sections 10.7, 10.8, 10.10.- Part 4: Planar Curves.
**Th Nov 10**: 11.1 & 11.2. Parameterization of plane curves.

Calculus with parametric curves.

[p.659 1--5,10,11,21--26, p.669 #25--30]

[**Calculator:**p.660 41--48]**Tu Nov 15**: 11.3, 11.4 & 11.5. Polar coordinates.

[p.674 #1--10,27--30,33--36,47--50]

[p.682 #1,3,5,6,21,23,27]**Th Nov 17**: Review**Tu Nov 22**: Fourth Test. Sections 11.1---11.5.- Part 5: Special Topics:
**Tu Nov 29**: 8.7. Numerical Integration.**Tu Dec 01**: 10.9. Remainder Estimation.