## Sections 005 & 006

## Meeting Times and Office Hours

Lectures: |
Sections 005 & 006 | TTh |
11:40 AM - 12:55 PM | LeConte 113 |

Computer Labs: |
Section 005 | M |
12:00 PM - 12:50 PM | LeConte 303A |

Section 006 | M |
10:50 AM - 11:40 AM | LeConte 303A | |

Problem Sessions: |
Section 005 | W |
12:00 PM - 12:50 PM | LeConte 121 |

Section 006 | W |
10:50 AM - 11:40 AM | LeConte 121 | |

Office Hours: |
Francisco | MTWThF |
1:00 PM - 2:00 PM | LeConte 314D |

Xiaofei | TThF |
10:00 AM - 11:00 AM | LeConte 314A |

## Important deadlines you need to know

The semester begins Monday, January 12th, and ends Monday, April 27th. The last day to obtain a “W” grade or to elect a pass/fail grade is Tuesday, January 20th. The first day in which a “WF” grade is assigned is therefore Wednesday, January 21st. The last day to drop a course or withdraw without a grade of “WF” being recorded is Thursday, March 5th.

## Prerequisites

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

## Text

*Calculus. Early Transcendentals* by James Stewart. **Thompson Brooks/Cole** 2008 (sixth edition)

Student Solutions Manual for Stewart's Multivariable Calculus, 6th Edition | Calculus: Early Transcendentals (Stewart's Calculus Series) |

You will be required to use Enhanced WebAssign, the online homework system that accompanies your textbook, for my course. If you choose to purchase a hard copy of the textbook, you need to buy the bundle that comes with the Enhanced WebAssign code.

## 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 + ME5) + 0.2 * FE`-
**Homework assignments**: (up to 100 points) 10% of the course grade.

Homework problems have been assigned for each lecture (you can see them at the end of this page, under**Lesson Plan**). A selection of those problems are posted on WebAssign 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 Monday is due on Wednesday at 11:59PM; what is posted on Friday is due on Monday at 11:59PM) In order to sign up for your section of the course on WebAssign, visit www.webassign.net and click on [**Enter Class Key**]. The class key is

Click [here] to retrieve further registration instructions.`sc 4076 8800` -
**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. At the end of the course, hopefully you will 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. -
**Midterm Exams**: (up to 100 points each) 50% of the course grade (10% each midterm).

There will be five in-class midterm exams scheduled as follows:Test # Date **1**Thu, Jan 29 **2**Tue, Feb 17 **3**Tue, Mar 17 **4**Thu, Apr 02 **5**Thu, Apr 16 -
**Final Exam**: (up to 100 points) 20% of the course grade.

The final exams is scheduled on Monday, May 4th, 2015 at 12:30 PM.

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.- Some 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.**Math Tutoring Center:**

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.**ACE centers:**

Tutoring for 100-Level Math is offered Monday through Thursday 7-9pm in the ACE centers in Bates Hall and Columbia Hall and Monday through Thursday 6-9pm in Sims Hall. No appointment is needed. You may contact the Student Success Center at 803-777-0684 and tutoring@sc.edu with additional questions.**Supplemental Instruction:**

SI is available for this course to assist you in better understanding the course material. The SI program provides peer-facilitated study sessions led by qualified and trained undergraduate SI leaders who attend classes with students and encourage students to practice and discuss course concepts in sessions. Sessions are open to all students who want to improve their understanding of the material, as well as their grades. SI sessions will focus on the most recent material covered in class. Each SI leader holds three sessions per week. Your SI leader is Tibra Wheeler and you can find his/her schedule online at www.sa.sc.edu/supplementalinstruction/. You can contact the Student Success Center at (803) 777-0684 if you have questions about the SI session schedule.

## 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:

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

- Improper integrals
- Applications of integration in Geometry, Science and Engineering
- Area
- Volume by disks and shells
- Average value

- 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
- Applications of Taylor polynomials
- Polar coordinates
- Area and length in polar coordinates

## Lesson plan

- Part 1: Integration Techniques
**Tue Jan 13**: 5.5. The Substitution Rule [p.406 #1--16, 19, 21--26, 28--32, 34, 36, 37, 40, 42, 45, 51--55, 58]**Thu Jan 15**: 7.1. Integration by parts [p.457 #1, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 30, 32, 34, 36, 38]**Tue Jan 20**: 7.2. Trigonometric Integration [p.465 #1--48, 55, 57, 58, 61--64]**Thu Jan 22**: 7.3. Trigonometric substitutions [p.472 #4--29]**Tue Jan 27**: 7.4. Integration of rational functions by partial fraction decomposition [p.481 #7--38]**Thu Jan 29**: First Midterm. Section 5.5, and chapter 7- Part 2: The Fundamental Theorem of Calculus, Improper Integrals, and Applications
**Tue Feb 03**: 5.3. The Fundamental Theorem of Calculus [p.388 #7--10, 13, 14, 19--31, 35--40, 53--56]**Thu Feb 05**: 7.8. Improper integrals [p.515 #5--40]**Tue Feb 10**: 6.1 & 6.2. Area and Volume [p.420 #1--28; p.430 #1--18]**Thu Feb 12**: 6.3. Volume by cylindrical shells [p.436 #3--7, 10--14, 21]**Tue Feb 17**: Second Midterm. Sections 5.3, 7.8 and chapter 6- Part 3: Sequences and Series
**Thu Feb 19**: 11.1. Sequences [p.684 #3--46]**Tue Feb 24**: 11.2. Introduction to series [p.694 #9, 11-40]**Thu Feb 26**: 11.3. The Integral test [p.703 #3--26]**Tue Mar 03**: 11.4. The Comparison test [p.709 #3--32]**Thu Mar 05**: 11.5-11.6. Absolute convergence. The ratio and root tests [p.713 #2--20, p.719 #2--28]**Tue Mar 17**: Third Midterm. Sections 11.1-11.6**Thu Mar 19**: 11.8. Power series [p.727 #3-28]**Tue Mar 24**: 11.9. Functions as Power Series [p.733 #3--12, 15--17]**Thu Mar 26**: 11.10. Taylor and MacLaurin Series I [p.746 #5--20]**Tue Mar 31**: 11.10. Taylor and MacLaurin Series II**Thu Apr 02**: Fourth Midterm. Sections 11.8-11.10- Part 4: Curves
**Tue Apr 07**: 10.3. Polar coordinates [p.647 #1ab, 3ab, 5i, 7--12, 21--26, 29--48]**Thu Apr 09**: 10.4. Polar coordinates: area and length.**Tue Apr 14**: 10.1. Curves defined by parametric equations**Thu Apr 16**: Fifth Midterm. Chapter 10- Final Stretch
**Tue Apr 21**: Review (1|2)**Thu Apr 23**: Review (2|2)