## Sections 005 & 006

## Meeting Times and Office Hours

Lectures: |
Sections 005 & 006 | MWF |
10:50 AM - 11:40 PM | LeConte 412 |

Computer Labs: |
Section 005 | ThT |
8:30 AM - 9:20 AM | LeConte 303A |

Section 006 | ThT |
10:05 AM - 10:55 AM | LeConte 303A | |

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

Section 006 | TTh |
10:05 AM - 10:55 AM | LeConte 121 | |

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

Christopher | MW |
3:00 PM - 5:00 PM | LeConte 103A |

## 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 112, 115, 116 or by a PreCalculus Placement Test.

## 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 0023 9122` -
**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**Wed, Jan 28 **2**Mon, Feb 16 **3**Fri, Mar 06 **4**Mon, Mar 30 **5**Mon, Apr 20 -
**Final Exam**: (up to 100 points) 20% of the course grade.

The final exams is scheduled on Monday, May 4th, 2015 at 9:00 AM.

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 Kendyl Pennington 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 I (MATH 141) 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:

- Handling Functions
- Functions: domain, range and graphs
- Finding limits graphically, numerically and analytically
- Continuity and one-sided limits
- Infinite limits and limits at infinity
- Differentiation
- The derivative and rates of change
- Basic differentiation rules
- Polynomials
- Exponentials
- Trigonometric functions
- Logarithmic functions
- The product and quotient rule
- Chain rule
- Implicit differentiation
- Logarithmic differentiation
- Applications of differentiation
- Extrema on an interval
- Mean Value Theorem
- Curve sketching
- L'Hospital's Rule
- Related rates
- Optimization problems
- Integration
- Antiderivatives and indeterminate integrals
- Definite Integrals
- The Fundamental Theorem of Calculus
- Basic computation of area between curves
- Basic computation of volume of solids of revolution

## Lesson plan

- First part: Functions; graphs, limits and continuity
- Mon Jan 12: 1.2: Intro to Functions [pp.20--22: 1abcde, 2abcef, 5, 6, 7, 27, 28, 30, 38, 41, 42]
- Wed Jan 14: 1.3: New functions from old functions [pp.43--44: 1, 2, 3, 4, 5, 31, 32, 33, 34, 35, 36, 37, 38, 41, 42]
- Fri Jan 16: 1.5 and 1.6: Exponential and Logarithmic Functions [p.58: 3, 4, 7, 8, 9, 10, 15, 17, 18. p.71: 33--39, 47--52]
- Wed Jan 21: 2.2 and 2.3: Limits [p.97: 4, 5, 6, 25, 26, 27, 29, 32, 34a. p.106: 1, 3--9, 11--27]
- Fri Jan 23: 2.5: Continuity [pp.128: 3a, 4, 10--13, 16--18, 20, 35, 37, 39, 41, 42]
- Mon Jan 26: Limits and continuity II
- Wed Jan 28: First Midterm---sections 1.2, 1.3, 1.5, 1.6, 2.2, 2.3, 2.5 and 2.6
- Second Part: Introduction to Differentiation
- Fri Jan 30: 2.7 and 2.8: Intro to derivatives [p.150 :4ab, 5--8, 10ab, 21, 25--30]
- Mon Feb 02: 3.1: Derivatives of Polynomials and Exponential functions [p.180: 3--30, 33, 34, 45, 52, 53, 54]
- Wed Feb 04: 3.2: The Product and Quotient Rule [p.187: 1, 2, 7, 8, 9, 10, 11, 13, 14, 15, 16, 19, 21, 22, 26, 29, 31, 52]
- Fri Feb 06: 3.3: Derivatives of Trigonometric functions [p.195: 1--6, 9--14, 21, 23, 24, 25a, 34]
- Mon Feb 09: 3.4: The Chain Rule [p.203: 1---21, 23, 25--30, 32--34, 36, 37, 51--54, 62]
- Wed Feb 11: 3.5: Implicit Differentiation [p.213: 1--30, 63, 64a, 65, 66]
- Fri Feb 13: 3.6: Derivatives of Logarithmic functions [p.220: 2--22, 27--30, 33, 34, 37--50]
- Mon Feb 16: Second Midterm---sections 2.7, 2.8, 3.1, 3.2, 3.3, 3.4, 3.5 and 3.6
- Third Part: Applications of Differentiation
- Wed Feb 18: 4.1: Maximum and Minimum values I [p.277: 6, 8, 10, 29--44, 47--62], 4.3: First and Second Derivative Test [p.295: 5, 6, 7, 9--22, 33--50]
- Fri Feb 20: 4.1: Maximum and Minimum values II
- Mon Feb 23: 4.4: L'Hopital's Rule I [p.304: 5--64]
- Wed Feb 25: 4.4: L'Hopital's Rule II
- Fri Feb 27: Curve Sketching [p.314: 1--27]
- Mon Mar 02: Curve Sketching II
- Wed Mar 04: Curve Sketching III
- Fri Mar 06: Third Midterm---sections 4.1, 4.2, 4.3, 4.4, and 4.5
- Mon Mar 16: 3.9: Related Rates I [p.245: 1--33]
- Wed Mar 18: 3.9: Related Rates II
- Fri Mar 20: 3.9: Related Rates III
- Mon Mar 23: 4.7 Optimization Problems I
- Wed Mar 25: 4.7 Optimization Problems II
- Fri Mar 27: 4.7 Optimization Problems III
- Mon Mar 30: Fourth Midterm---sections 3.9, and 4.7
- Fourth Part: Introduction to Integration
- Wed Apr 01: 4.9: Antiderivatives [p.345: 1--15, 18, 18, 21]
- Fri Apr 03: 5.4: Indefinite integrals [p.397: 5--18]
- Mon Apr 06: Appendix E: Sigma notation [p.A38: 1--36, 43--46]
- Wed Apr 08: 5.1 and 5.2: Intro to Definite Integrals
- Fri Apr 10: 5.3: The Fundamental Theorem of Calculus [p.388: 7--12, 19--33, 35, 36, 39, 40, 65, 66, 68, 74]
- Mon Apr 13: 5.5: The Substitution Rule [p.406: 1--46]
- Wed Apr 15: 6.1: Area between curves I
- Fri Apr 17: 6.1: Area between curves II
- Mon Apr 20: Fifth Midterm---sections 4.9, 5.1, 5.2, 5.3, 5.4, 6.1, and Appendix E
- The last stretch
- Wed Apr 22: Review for Final Exam #1
- Fri Apr 24: Review for Final Exam #2

- Mon Apr 27: Review for Final Exam #3

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