# Section 8

## Instructor

Francisco Blanco-Silva

**e-mail:** `blanco at math dot sc dot edu`

**office:** LeConte 307

## Meeting Times

Lectures: |
1:15 PM - 2:30 PM | Humanities 202 |

Office Hours: |
TTh 3:00 PM — 6:00 PM |
LeConte 307 |

## Important deadlines you need to know

The semester begins Thursday, August 22^{nd}, and ends Friday, December 6^{th}.

The deadline to drop/add and the last day to change credit/audit is Wednesday, August 28^{th}. The first day in which a "W" grade is assigned is therefore Thursday, August 29^{th}.

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

## Prerequisites

Placement code MB4-9 required. This may be earned by a grade of C or better in MATH 111/111I, or by an algebra placement test.

## Text

*Applied Calculus* by Hughes-Hallett, Gleason, Lock, Flath et al. **Wiley** 2009 (fourth edition)

Applied Calculus | Student Solutions Manual |

We will be using WileyPLUS in the course, and the homework will be assigned and completed online. In order to register for WileyPLUS, you need to have a registration code, which should be included with your (new) textbook. If you do not have a registration code, you will need to either return your book and purchase a package that includes a registration code, or you may purchase a registration code separately online at wileyplus.com

The Registration code includes access to the entire contents of the textbook online, so you may opt to purchase only the registration code and then use the online transcription of the textbook to study.

In order to sign up for your section of the course on WileyPLUS, visit

edugen.wileyplus.com/edugen/class/cls344240/

There you will be able to enter the registration code from your textbook and enroll in our section of the course online. Once you have successfully enrolled, use wileyplus.com to login to your account and complete homework assignments.

## Calculator

A graphing calculator is required for this course. 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 and quizzes.

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:

**Homework**: 15% of the course grade. Homework problems will be assigned at the end of each lecture.**Quizzes**: 15% of the course grade. A quiz will be given weekly through wileyplus.com, except the week of a midterm, or the last week of classes.**Midterms**: each test counts 10%, for a total of 40% of the course grade. There will be four in-class midterm exams tentatively scheduled as follows:

Test # Date **1**Thu, Sep 12 **2**Tue, Oct 08 **3**Tue, Nov 05 **4**Tue, Nov 26 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**: 30% of the course grade. The date for the final exam is Monday, Dec 9^{th}at 12:30PM.

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 three sessions without a valid excuse will have a penalty of 5 points in their final grade (this is equivalent to a half-letter penalty, e.g. from C to D+).
- Students missing five sessions without a valid excuse will have a penalty of 10 points in their final grade (this is equivalent to a full-letter penalty, e.g. from B to C)
- Students missing seven sessions or more without a valid excuse will have a penalty of 15 points in their final grade (this is equivalent to a letter-and-a-half penalty, e.g. from A to C+)
**Dishonesty:**Students whose names appear on the attendance sheet, but are not present in class, will have applied an extra penalty of 5 points in their final grade.

## 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]
**ADA**: 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.
- The Supplemental Instructors for this course is Katherine Halligan. You can find her schedule and contact information at www.sa.sc.edu/supplementalinstruction/. You can get in touch with the Student Success Center at (803) 777-0684 if you have questions about the SI session schedule.

## Learning Outcomes

A student who successfully completes Applied Calculus (MATH 122) will master concepts based on derivatives and integrals of elementary algebraic, exponential and logarithmic functions. Students will be able to solve applications involving maxima, minima, rates of change, motion, work, area under a curve, and volume. Students will be able to verbally interpret data given as graphs, tables, and equations, and put into words the relationship between a function and its derivative or integral.

## Lesson Plan

**Thu Aug 22**: 1.1 & 1.2. Introduction to functions. Linear functions. [p.5 #2,3,4,7,8,10,11,12a,13,14,16,23,24a; p.12 #5,6,7,8,14,15]**Tue Aug 27**: 1.2 & 1.3. More linear functions. Average Rate of Change. [p.12 #1,2,3,4,12,25; p.22 #12,13,15,16,20,27]**Thu Aug 29**: [slides] 1.3 & 1.4. Relative change. Applications of functions to Economics. [p.22 #42--46; p.35 #4,6,8,9,10,11,19,20,22,23]**Tue Sep 03**: [slides] 1.5. Exponential functions [p.43 #2,4,6--12,19]**Thu Sep 05**: [slides] 1.6. The natural logarithm [p.50 #1--17,21,27--29]**Tue Sep 10**: [slides] 1.7. Exponential growth and decay [p.56 #1,3--5,8,10--12,16]**Thu Sep 12**: First Midterm. Sections 1.1, 1.2, 1.3, 1.4, 1.5, 1.6, and 1.7.**Tue Sep 17**: [slides] 1.8 & 1.9. Power functions, polynomials. Reflections, shifts, stretches. [p.62 #1--9,32--41; p.67 #1--12]**Thu Sep 19**: [slides] 2.1--2.3. Intro to derivatives: instantaneous rate of change**Tue Sep 24**: [slides] 2.3 & 2.4. Notation and interpretation of the derivative. 3.1 & 3.2. Derivative rules [p.139 #1-36, 40,41,45,50; p.144 #1--28,33,34,40]**Thu Sep 26**: [slides] 3.3. The chain rule.**Tue Oct 01**: [slides] 3.4. The product and quotient rules.**Thu Oct 03**: [slides] Applications: Marginal analysis. The Relative Rate of Change [p.119 #9--11,13; p.154 #3,4,7--14,16,20,21,23--28,35,36,41,42; p.140 #59]**Tue Oct 08**: Second Midterm. Sections 1.7, 1.8, 1.9, 2.1--2.5, 3.1, 3.2, and 3.4**Thu Oct 10**: [slides] 4.1 & 4.2. The second derivative and interpretation in terms of concavity [p.106 #1--4,7,10,16; p.113 #3--8,16,17] Local maxima and minima. Inflection points.**Tue Oct 15**: 4.3 & 4.4. Global maxima and minima. Applications to Finance**Tue Oct 22**: 7.1. Intro to antiderivatives and integration.**Thu Oct 24**: 7.2. Integration by substitution**Tue Oct 29**: 7.4. Integration by parts**Thu Oct 31**: 5.3 & 7.3. The Fundamental Theorem of Calculus. The definite integral as area.**Tue Nov 05**: Third Midterm. Sections 3.1--3.4, 4.1--4.4, 7.1, 7.2, and 7.4.**Thu Nov 07**: 5.2. Approximations to the definite integral by Riemann sums (I)**Tue Nov 12**: 5.2 & 5.4. Approximations to the definite integral by Riemann sums (II). Interpretations of the definite integral as total change**Thu Nov 14**: 6.1 & 5.3. Interpretations of the definite integral as average value. Area between two curves**Tue Nov 19**: 5.3 & 6.2. Area between two curves. Consumer and producer surplus**Thu Nov 21**: Review**Tue Nov 26**: Forth Midterm. Sections 5.2--5.4, 6.1, and 6.2**Tue Dec 03**: Review (1/2) [Practice exam | Formula Sheet]**Thu Dec 05**: Review (2/2)

**Mon Dec 09**: 12:30 PM Final Exam.