## MA141—Spring 2014

# Sections 009, 011, 012

## InstructorFrancisco Blanco-Silva |
## Teaching AssistantsAnton Dereventsov Nathan Faulkner |

## Meeting Times and Office Hours

Lectures: |
Section 009 | MWF |
8:30 AM – 9:20 AM | LeConte 412 |

Sections 011 & 012 | MWF |
12:00 PM – 12:50 PM | LeConte 412 | |

Computer Labs: |
Section 009 | ThT |
8:30 AM – 9:20 AM | LeConte 401 |

Section 011 | TTh |
10:05 AM – 10:55 AM | LeConte 303A | |

Section 012 | TTh |
11:40 AM – 12:30 PM | LeConte 303A | |

Problem Sessions: |
Section 009 | TTh |
8:30 AM – 9:20 AM | LeConte 405 |

Section 011 | ThT |
10:05 AM – 10:55 AM | LeConte 405 | |

Section 012 | ThT |
11:40 AM – 12:30 PM | LeConte 121 | |

Office Hours: |
Francisco | MWF |
9:30 AM – 10:45 AM | LeConte 307 |

Anton | TTh |
11:00 AM – 11:30 AM 12:30 PM – 1:00 PM |
LeConte 309A | |

Nathan | TTh |
8:00 – 8:30 AM 9:20 AM – 10:00 AM |
LeConte 300K |

## Important deadlines you need to know

The semester begins Monday, January 13^{th}, and ends Monday, April 28^{th}. The last day to obtain a “W” grade or to elect a pass/fail grade is Monday, March 3^{rd}. The first day in which a “WF” grade is assigned is therefore Tuesday, March 4^{th}.

## Prerequisites

Qualifications through Placement code MA4-9 or MD0-9 required: earned by grade of **C** or better in MATH 112, 115, 116 or by PreCalculus Placement Test.

## Text

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

Calculus: Early Transcendentals | Student Solutions Manual |

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 purchase 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) + 0.3 * 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 [

**I have a Class Key**]. The class key is`sc 4914 7044`Click [here] to retrieve further registration instructions.

**Quizzes**: (up to 100 points) 10% of the course grade.**Only the 10 best scores have an impact on your 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. No make-up quizzes will be given. Only medical, death in the family, religious or official USC business reasons are valid excuses for missing a quiz and must be verified by letter from a doctor, guardian or supervisor.**Computer Labs**: (up to 100 points) 10% of the course grade.**Midterm Exams**: (up to 100 points each) 40% of the course grade (10% each midterm). There will be four in-class midterm exams scheduled as follows:

Test # Date **1**Fri, Jan 31 **2**Wed, Feb 24 **3**Wed, Mar 24 **4**Fri, Apr 11 No make-up tests will be given. Only medical, death in the family, religious or official USC business reasons are valid excuses for missing a test and must be verified by letter from a doctor, guardian or supervisor.

**Final Exam**: (up to 100 points) 30% of the course grade. The final exams are scheduled as follows:- Section 009: Wednesday, April 30
^{th}at 9:00 AM. - Sections 011 & 012: Friday, May 2
^{nd}at 4:00 PM.

No make-up final exam will be given. Only medical, death in the family, religious or official USC business reasons are valid excuses for missing the Final Exam, and must be verified by letter from a doctor, guardian or supervisor.

- Section 009: Wednesday, April 30

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 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, 170, 221, 222, and 241. 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 Ryan McGraw and you can find the 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 and their 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
- Applications of differentiation
- Related rates
- Extrema on an interval
- Mean Value Theorem
- Curve sketching
- L’Hospital’s Rule
- 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 13**: 1.2: Intro to Functions [pp.20–22: 1abcde, 2abcef, 5, 6, 7, 27, 28, 30, 38, 41, 42]**Wed Jan 15**: 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 17**: 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 22**: 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 24**: 2.5: Continuity [pp.128: 3a, 4, 10–13, 16–18, 20, 35, 37, 39, 41, 42]**Mon Jan 27**: Limits and continuity II**Wed Jan 29**: Winter weather advisory: Classes cancelled**Fri Jan 31**: 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****Mon Feb 03**: 2.7 and 2.8: Intro to derivatives [p.150 :4ab, 5–8, 10ab, 21, 25–30]**Wed Feb 05**: 3.1: Derivatives of Polynomials and Exponential functions [p.180: 3–30, 33, 34, 45, 52, 53, 54]**Fri Feb 07**: 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]**Mon Feb 10**: 3.3: Derivatives of Trigonometric functions [p.195: 1–6, 9–14, 21, 23, 24, 25a, 34]**Wed Feb 12**: Winter weather advisory: Classes cancelled**Fri Feb 14**: Winter weather advisory: Classes cancelled**Mon Feb 17**: 3.4: The Chain Rule [p.203: 1—21, 23, 25–30, 32–34, 36, 37, 51–54, 62]**Wed Feb 19**: 3.5: Implicit Differentiation [p.213: 1–30, 63, 64a, 65, 66]**Fri Feb 21**: 3.6: Derivatives of Logarithmic functions [p.220: 2–22, 27–30, 33, 34, 37–50]**Mon Feb 24**: 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 26**: 4.2: The Mean Value Theorem [see assignment online in webassign]**Fri Feb 28**: 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]**Mon Mar 03**: 4.1: Maximum and Minimum values II**Wed Mar 05**: 4.4: L’Hopital’s Rule [p.304: 5–64]**Fri Mar 07**: 4.4: L’Hopital’s Rule II**Mon Mar 17**: Curve Sketching [p.314: 1–27]**Wed Mar 19**: Curve Sketching II**Fri Mar 21**: Curve Sketching III**Mon Mar 24**: Third Midterm—sections 4.1, 4.2, 4.3, 4.4, and 4.5**Wed Mar 26**: 3.9: Related Rates I [p.245: 1–33]**Fri Mar 28**: 3.9: Related Rates II**Mon Mar 31**: 3.9: Related Rates III**Wed Apr 02**: 4.7 Optimization Problems I [see assignment online in webassign]**Mon Apr 04**: 4.7 Optimization Problems II**Fri Apr 07**: 4.7 Optimization Problems III**Wed Apr 09**: 4.7 Optimization Problems IV**Fri Apr 11**: Fourth Midterm—sections 3.9, and 4.7

**Fourth Part: Introduction to Integration****Mon Apr 14**: 4.9: Antiderivatives [p.345: 1–15, 18, 18, 21]**Wed Apr 16**: 5.4: Indefinite integrals [p.397: 5–18]**Fri Apr 18**: Appendix E: Sigma notation [p.A38: 1–36, 43–46]**Mon Apr 21**: 5.1 and 5.2: Intro to Definite Integrals**Wed Apr 23**: 5.3: The Fundamental Theorem of Calculus [p.388: 7–12, 19–33, 35, 36, 39, 40, 65, 66, 68, 74]**Fri Apr 25**: 5.5: The Substitution Rule [p.406: 1–46]**Mon Apr 28**: 6.1: Area between curves