# Section 8

## Meeting Times

Lectures: |
TTh 1:15 PM - 2:30 PM |
Gambrell 152 |

Office Hours: |
MTWThF 3:00 PM - 4:00 PM |
LeConte 314D |

## Important deadlines you need to know

- The semester begins Thursday, August 21
^{st}, and ends Friday, December 5^{th}. - The deadline to drop/add and the last day to change credit/audit is Wednesday, August 27
^{th}. The first day in which a "W" grade is assigned is therefore Thursday, August 28^{th}. - The last day to obtain a "W" grade or to elect a pass/fail grade is Thursday, October 9
^{th}. The first day in which a "WF" grade is assigned is therefore Friday, October 10^{th}.

## Prerequisites

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** 2013 (fifth 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/cls407521/

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.

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 11 **2**Tue, Oct 07 **3**Thu, Nov 06 **4**Tue, Nov 25 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 Thursday, Dec 11^{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 four 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 six 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 eight 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 immediately 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 Abigail Carey. 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 (with and without the aid of a graphing calculator) 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 21**: [slides] 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 26**: [slides] 1.2 & 1.3. Intercepts, Change, and Average Rate of Change. [p.12 #1,2,3,4,12,25; p.22 #12,13,15,16,20,27]**Thu Aug 28**: [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 02**: [slides] 1.5. Exponential functions [p.43 #2,4,6--12,19]**Thu Sep 04**: [slides] 1.6. The natural logarithm [p.50 #1--17,21,27--29]**Tue Sep 09**: [slides] 1.7. Exponential growth and decay [p.56 #1,3--5,8,10--12,16]**Thu Sep 11**: First Midterm. Sections 1.1, 1.2, 1.3, 1.4, 1.5, 1.6, and 1.7.**Tue Sep 16**: [slides] 1.8 & 1.9. Power functions, polynomials. Reflections, shifts, stretches. [p.62 #1--9,32--41; p.67 #1--12]**Thu Sep 18**: [slides] 2.1--2.3. Intro to derivatives: instantaneous rate of change**Tue Sep 23**: [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 25**: [slides] 3.3. The chain rule.**Tue Sep 30**: [slides] 3.4. The product and quotient rules.**Thu Oct 02**: [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 07**: Second Midterm. Sections 1.7, 1.8, 1.9, 2.1--2.5, 3.1, 3.2, and 3.4**Thu Oct 09**: [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 14**: 4.3 & 4.4. Global maxima and minima. Applications to Finance**Thu Oct 16**: 7.1. Intro to antiderivatives and integration.**Tue Oct 21**: 7.2. Integration by substitution**Tue Oct 28**:~~7.4. Integration by parts~~**Thu Oct 30**: 5.3 & 7.3. The Fundamental Theorem of Calculus. The definite integral as area.**Thu Nov 06**: Third Midterm. Sections 3.1--3.4, 4.1--4.4, 7.1, 7.2, and 7.4.**Tue Nov 11**: 5.2. Approximations to the definite integral by Riemann sums (I)**Thu Nov 13**: 5.2 & 5.4. Approximations to the definite integral by Riemann sums (II). Interpretations of the definite integral as total change**Tue Nov 18**: 6.1 & 5.3. Interpretations of the definite integral as average value.**Thu Nov 20**: 5.3 &~~6.2. Area between two curves. Consumer and producer surplus~~**Tue Nov 25**: Fourth Midterm. Sections 5.2--5.4, 6.1, and 6.2**Tue Dec 02**: Review Session #1 [Review (1|4)] [Review (2|4)]**Thu Dec 04**: Review Session #2 [Review (3|4)] [Review (4|4)]

**Thu Dec 11**: 12:30 PM Final Exam.