## MA141—Fall 2012

# MATH 141. Sections 007 and 008

## InstructorFrancisco Blanco-Silva |
## Teaching AssistantMichael Laughlin |

## Meeting Times and Office Hours

Lectures: |
MWF |
10:10 AM – 11:00 AM | LeConte 113 | |

Problem Sessions: |
Section 007 | ThT |
8:00 AM – 8:50 AM | LeConte 115 |

Section 008 | ThT |
9:30 PM – 10:20 PM | LeConte 115 | |

Computer Labs: |
Section 007 | TTh |
8:00 AM – 8:50 AM | LeConte 102 |

Section 008 | TTh |
9:30 PM – 10:20 PM | LeConte 102 | |

Office Hours: |
TTh |
1:00 PM – 4:00 PM | LeConte 307 | |

MTTh |
11:00 AM – 12:00 PM | LeConte 300K |

## Important deadlines you need to know

The semester begins Thursday, August 23^{rd}, and ends Friday, December 7^{th}.

The deadline to drop/add and the last day to change credit/audit is Wednesday, August 29^{th}. The first day in which a “W” grade is assigned is therefore Thursday, August 30^{th}.

The last day to obtain a “W” grade or to elect a pass/fail grade is Thursday, October 11^{th}. The first day in which a “WF” grade is assigned is therefore Friday, October 12^{th}.

MATH E116, Brief Precalculus, is a 2 credit-hour course that starts on October 22, and ends on December 7. There are two sections, both taught by Taylor Short, section 851 meets MTWTh 5:20-6:15 and section 852 meets MTWTh 7:00-7:55. Both sections meet in LC 121. This course reviews all of the precalculus content from the point of view that the students have already seen the material but need a refresher to be able to use it in calculus.

Students that wish to take MATH E116 need to sign up for one of the sections through VIP

## 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 (Stewart’s Calculus Series) (See all Calculus Books)]

You will be required to use Enhanced WebAssign, the online homework system that accompanies your textbook, for my course. I strongly encourage you to purchase an access code that provides you access to Enhanced WebAssign and the eBook rather than a traditional hard copy of the text. (If you choose to purchase a hard copy, you will 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 for these sections areSection 007:

`sc 5191 5060`Section 008:

`sc 9418 0112`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 recitation every Tuesday, except on the day after a midterm exam, or the last week of classes. At the end of the course, 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 to the instructor.**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**Mon, Sep 10 **2**Mon, Oct 01 **3**Mon, Oct 29 **4**Mon, Nov 19 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 to the instructor.

**Final Exam**: (up to 100 points) 30% of the course grade. The final exam is scheduled on Friday, December 14^{th}from 9:00 AM to 11:35 AM. 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 to the instructor.

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% |

**ATTENDANCE POLICY**: Attendance is mandatory. Penalties to your final grade apply as follows:

- Students missing four sessions without a valid excuse will have their final grade lowered by 5 points (half a letter grade)
- Students missing six sessions without a valid excuse will have their final grade lowered by 10 points (a full letter grade)
- Students missing eight sessions without a valid excuse will have their final grade lowered by 15 points (a letter-and-a-half)

## Further Information

- Remember to change your e-mail address on Blackboard if necessary [blackboard.sc.edu]
**ADA**: If you have special needs as addressed by the*Americans with Dissabilities 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 Mirna Rezcalla and you can find her session 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, HW Assignments, Quizzes, Exams

**First part—Functions; graphs, limits and continuity****Fri Aug 24**: 1.2: Intro to Functions [pp.20–22: 1abcde, 2abcef, 5, 6, 7, 27, 28, 30, 38, 41, 42]**Mon Aug 27**: 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]**Tue Aug 28**: [Quiz 01]**Wed Aug 29**: 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]

(this assignment is due on Tuesday Sep 04 and counts as [Quiz 02])**Fri Aug 31**: 2.2 and 2.3: Limits [p.97: 4, 5, 6, 25, 26, 27, 29, 32, 34a. p.106: 1, 3–9, 11–27]**Tue Sep 04**: [Quiz 02] [Quiz 03]**Wed Sep 05**: 2.5: Continuity [pp.128: 3a, 4, 10–13, 16–18, 20, 35, 37, 39, 41, 42]**Fri Sep 07**: 2.6: Limits at infinity [p.141: 15–26, 29–33, 39–43]**Mon Sep 10**: 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****Tue Sep 11**: Appendix D: Trigonometry**Wed Sep 12**: 2.7 and 2.8: Intro to derivatives [p.150 :4ab, 5–8, 10ab, 21, 25–30]**Fri Sep 14**: 3.1: Derivatives of Polynomials and Exponential functions [p.180: 3–30, 33, 34, 45, 52, 53, 54]**Mon Sep 17**: 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]**Tue Sep 18**: [Quiz 04]**Wed Sep 19**: 3.3: Derivatives of Trigonometric functions [p.195: 1–6, 9–14, 21, 23, 24, 25a, 34]**Fri Sep 21**: 3.4: The Chain Rule [p.203: 1—21, 23, 25–30, 32–34, 36, 37, 51–54, 62]**Mon Sep 24**: 3.5: Implicit Differentiation [p.213: 1–30, 63, 64a, 65, 66]**Tue Sep 25**: [Quiz 05]**Wed Sep 26**: 3.6: Derivatives of Logarithmic functions [p.220: 2–22, 27–30, 33, 34, 37–50] [Quiz 06]**Fri Sep 28**: Review for Second Midterm [Practice test]**Mon Oct 01**: 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****Tue Oct 02**: Appendix B—Coordinate Geometry and Lines**Wed Oct 03**: 3.9: Related Rates I [p.245: 1–33]**Fri Oct 05**: 3.9: Related Rates II**Mon Oct 08**: 4.1: Maximum and Minimum values [p.277: 6, 8, 10, 29–44, 47–62]**Tue Oct 09**: [Quiz 07]**Wed Oct 10**: 4.2: The Mean Value Theorem**Fri Oct 12**: 4.3: First and Second Derivative Test [p.295: 5, 6, 7, 9–22, 33–50]**Mon Oct 15**: 4.4: L’Hopital’s Rule [p.304: 5–64]**Tue Oct 16**: [Quiz 08]**Wed Oct 17**: 4.5: Curve Sketching [p.314: 1–27]**Mon Oct 22**: 4.7: Optimization Problems I**Tue Oct 23**: [Quiz 09]**Wed Oct 24**: 4.7: Optimization Problems II**Fri Oct 26**: Review for Third midterm [Mirna’s practice test]**Mon Oct 29**: Third Midterm—sections 3.9, 4.1, 4.2, 4.3, 4.4, 4.5 and 4.7

**Fourth Part: Introduction to Integration****Tue Oct 30**: Appendix C—Graphs of second-degree equations**Wed Oct 31**: 4.9: Antiderivatives [p.345: 1–15, 18, 18, 21]**Fri Nov 02**: 5.4: Indefinite integrals [p.397: 5–18]**Mon Nov 05**: Appendix E: Sigma notation [p.A38: 1–36, 43–46]**Wed Nov 07**: 5.1 and 5.2: Intro to Definite Integrals**Fri Nov 09**: 5.3: The Fundamental Theorem of Calculus [p.388: 7–12, 19–33, 35, 36, 39, 40, 65, 66, 68, 74]**Mon Nov 12**: 5.5: The Substitution Rule I [p.406: 1–46]**Tue Nov 13**: [Quiz 10]**Wed Nov 14**: 5.5: The Substitution Rule II**Fri Nov 16**: Review for Fourth Midterm [Mirna’s Practice Test]**Mon Nov 19**: Fourth Midterm—sections 4.9, 5.1, 5.2, 5.3, 5.4 and 5.5

**Fifth Part: Applications of Integration****Tue Nov 20**: Appendix G—The Logarithm defined as an integral**Mon Nov 26**: 6.1: Area between curves I**Tue Nov 27**: [Quiz 11]**Wed Nov 28**: 6.1: Area between curves II**Fri Nov 30**: 6.2: Volumes

**Final Stretch:****Mon Dec 03**: Review for Final Exam (1/4) [Practice Test #1]**Tue Dec 04**: Review for Final Exam (2/4)**Wed Dec 05**: Review for Final Exam (3/4) [Practice Test #2]**Fri Dec 07**: Review for Final Exam (4/4)**Fri Dec 14**: 9:00 AM-11:35 AM

Comprehensive exam—Chapters 1, 2, 3, 4 and 5