# MATH 122 Fall 2016

## Sections 3 and 19

### Meeting Times

Section 03: |
MoWeFr |
10:50 AM - 11:40 AM | Jones Physical Sci Ctr 006 |

Section 19: |
MoWeFr |
1:10 PM - 2:00 PM | Callcot Soc Sci Ctr 201 |

### Important deadlines you need to know

- The semester begins Thursday, August 18th, and ends Friday, December 2nd.
- The deadline to drop/add and the last day to change credit/audit is Wednesday, August 24th. The first day in which a "W" grade is assigned is therefore Thursday, August 25th.
- The last day to obtain a "W" grade or to elect a pass/fail grade is Monday, October 10th. The first day in which a "WF" grade is assigned is therefore Tuesday, October 11th.

### 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

### Section 03: www.wileyplus.com/class/527290

### Section 19: www.wileyplus.com/class/527311

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:

`F = 0.1 * (HW + Q + ME1 + ME2 + ME3 + ME4 + ME5) + 0.3 * FE`**Homework**: 10% of the course grade. Starting on August 25th, a selection of problems from your textbook will be posted through WileyPlus.com 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).**Quizzes**: 10% of the course grade. At least a quiz will be given weekly through WileyPlus.com, except the week of a test, or the last week of classes. Pop-quizzes will be given constantly as well in class.**Tests**: each test counts 10%, for a total of 50% of the course grade. There will be five in-class tests tentatively scheduled as follows:

Test # Date **1**Fr Sep 16 **2**We Sep 28 **3**We Oct 19 **4**Fr Nov 04 **5**Mo Nov 21 **Final exam**: 30% of the course grade. The dates for the final exam are:

- Section 03: Wednesday, December 7th at 9:00 AM.
- Section 19: Friday, December 9th at 12:30 PM.

- Participation in an authorized University activity (such as musical performances, academic competitions, or varsity athletic events in which the student plays a formal role in a University sanctioned event)
- Required participation in military duties
- Mandatory admission interviews for professional or graduate school which cannot be rescheduled
- Participation in legal proceedings or administrative duties that require a student’s presence
- Death or major illness in a student’s immediate family
- Illness of a dependent family member
- Religious holy day if listed on www.interfaithcalendar.org
- Illness that is too severe or contagious for the student to attend class
- Weather-related emergencies

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 five 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 seven 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 nine 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.- Class notes and other additional 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.- 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.
**Student Success Center:**

In partnership with University of South Carolina faculty, the Student Success Center (SSC) offers a number of programs to assist you in better understanding your course material and to aid you on your path to success. SSC programs are facilitated by trained undergraduate peer leaders who have previously excelled in their courses. Resources available to students in this course include:**Peer Tutoring:**You can make a one-on-one appointment with a peer tutor by going to www.sc.edu/success. Drop-in Tutoring and Online Tutoring may also be available for this course. Visit the previous website for a full schedule of times, locations, and courses.**Success Connect:**Throughout the semester, I may communicate with the SSC regarding your progress in the course. If contacted by the SSC, please schedule an appointment to discuss campus resources that are available to you. Success Connect referrals are not punitive and any information shared by me is confidential and subject to FERPA regulations.

- The Supplemental Instructor is Sam Martin.

You can find the schedule and contact information at www.sa.sc.edu/supplementalinstruction/.

### 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

- First part: Introduction to Functions
**Fri Aug 19**: Syllabus review. Background Algebra**Mon Aug 22**: [slides] 1.1. Intro to functions. [p.5 #2, 3, 4, 7, 8, 10, 11, 12a, 13, 14, 16, 23, 24a]**Wed Aug 24**: [slides] 1.2. Linear functions. [p.12 #5,6,7,8,14,15]**Fri 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]**Mon Aug 29**: [slides] 1.3 Relative change. [p.22 #42--46]**Wed Aug 31**: [slides] 1.4. Applications of functions to Economics. [p.35 #4,6,8,9,10,11,19,20,22,23]**Fri Sep 02**: [slides] 1.5. Exponential functions [p.43 #2,4,6--12,19]**Wed Sep 07**: [slides] 1.6. The natural logarithm [p.50 #1--17,21,27--29]**Fri Sep 09**: [slides] 1.7. Exponential growth and decay [p.56 #1,3--5,8,10--12,16]**Mon Sep 12**: Exponential growth and decay (II)**Wed Sep 14**: [slides] 1.8 & 1.9. Power functions, polynomials. Reflections, shifts, stretches. [p.62 #1--9,32--41; p.67 #1--12]**Fri Sep 16**: First Test. Sections 1.1, 1.2, 1.3, 1.4, 1.5, 1.6, 1.7, and 1.8.- Second part: Introduction to Derivatives
**Mon Sep 19**: [slides] 2.1--2.3. Intro to derivatives: instantaneous rate of change**Wed Sep 21**: [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]**Fri Sep 23**: [slides] 3.3. The chain rule.**Mon Sep 26**: [slides] 3.4. The product and quotient rules.**Wed Sep 28**: Second Test. Sections 2.1--2.4, 3.1--3.4- Third part: Applications of Derivatives
**Fri Sep 30**: [slides] 3.2. Applications to 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]**Mon Oct 03**: [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.**Wed Oct 05**: Classes canceled**Fri Oct 07**: Classes canceled**Mon Oct 10**: Review, completion of previous material.**Wed Oct 12**: 4.3. Global maxima and minima**Mon Oct 17**: 4.4. Applications to Finance**Wed Oct 19**: Third Test. Sections 3.2, 4.1--4.4- Fourth part: Introduction to antiderivatives
**Fri Oct 21**: 7.1. Intro to antiderivatives and integration**Mon Oct 24**: 7.2. Integration by substitution (I)**Wed Oct 26**: 7.2. Integration by substitution (II)**Fri Oct 28**: 7.4. Integration by parts (I)**Mon Oct 31**: 7.4. Integration by parts (II)**Wed Nov 02**: 7.4. Integration by parts (III)**Fri Nov 04**: Fourth Test. Sections 4.1--4.4, 7.1, 7.2, and 7.4.- Fifth part: Applications of antiderivatives
**Mon Nov 07**: 5.3. Area**Wed Nov 09**: 7.3. The Fundamental Theorem of Calculus**Fri Nov 11**: 5.2. Approximations to the definite integral by Riemann sums**Mon Nov 14**: 5.4. Interpretations of the definite integral as total change**Wed Nov 16**: 6.1 & 5.3. Interpretations of the definite integral as average value.**Fri Nov 18**: 5.3 & 6.2. Area between two curves. Consumer and producer surplus**Mon Nov 21**: Fifth Test. Sections 5.2--5.4, 6.1 and 7.3.- Sixth part: Review
**Mon Nov 28**: Review**Wed Nov 30**: Review**Fri Dec 02**: Review