# MATH 122 Fall 2017

## Sections 001, 003 and S03

### Meeting Times

Section 003/S03: |
MoWeFr |
10:50 AM - 11:40 AM | Gambrell 152 |

Section 001: |
MoWeFr |
12:00 PM - 12:50 PM | Gambrell 152 |

### Important deadlines you need to know

General Dates | |
---|---|

Classes begin | August 24, 2017 |

Labor Day Holiday | September 4, 2017 |

Fall Break | October 19--20, 2017 |

Thanksgiving Recess | November 22--26, 2017 |

Last Day of Classes | December 8, 2017 |

Academic Deadlines | |

Last Day to Change/Drop without W |
August 30, 2017 |

First Day W Grade Assigned |
August 31, 2017 |

Last Day to Drop/Withdraw without WF |
October 16, 2017 |

First Day WF Grade Assigned |
October 17, 2017 |

### 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)

Click on each title for further information.

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 001: www.wileyplus.com/class/595419

### Section 003/S03: www.wileyplus.com/class/595420

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.

### Course Structure and Grading Policies

Your final score for the course will be computed as follows:

`F = 0.1 * (HW + Q + T1 + T2 + T3 + T4 + T5) + 0.3 * FE`**Homework**: 10% of the course grade. Starting on September 6th, 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 12:00AM; what is posted on Friday is due on Monday at 12:00AM).**Quizzes**: 10% of the course grade. At least a quiz will be given weekly through WileyPlus.com, except the week of a test, the first 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**Fri Sep 22 **2**Wed Oct 04 **3**Wed Oct 18 **4**Fri Nov 03 **5**Mon Nov 20 **Final exam**: 30% of the course grade. The dates for the final exam are:

- Section 003/S03: Friday, December 15th at 9:00 AM.
- Section 001: Monday, December 11th 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 and review the Academic Integrity Tutorial 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-up 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]
**Student Disability Resource Center**: 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 James Dunlea.

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 25**: Syllabus review. Background Algebra**Mon Aug 28**: [slides] 1.1. Intro to functions. [p.5 #2, 3, 4, 7, 8, 10, 11, 12a, 13, 14, 16, 23, 24a]**Wed Aug 30**: [slides] 1.2. Linear functions. [p.12 #5,6,7,8,14,15]**Fri Sep 01**: [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]**Wed Sep 06**: [slides] 1.3 Relative change. 1.4. Applications of functions to Economics. [p.22 #42--46; p.35 #4,6,8,9,10,11,19,20,22,23]**Fri Sep 08**: [slides] 1.5. Exponential functions [p.43 #2,4,6--12,19]**Mon Sep 11**:**Classes Canceled****Wed Sep 13**: [slides] 1.6. The natural logarithm [p.50 #1--17,21,27--29]**Fri Sep 15**: [slides] 1.7. Exponential growth and decay [p.56 #1,3--5,8,10--12,16]**Mon Sep 18**: Exponential growth and decay (II)**Wed Sep 20**: [slides] 1.8 & 1.9. Power functions, polynomials. Reflections, shifts, stretches. [p.62 #1--9,32--41; p.67 #1--12]**Fri Sep 22**: 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 25**: [slides] 2.1--2.3. Intro to derivatives: instantaneous rate of change**Wed Sep 27**: [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 29**: [slides] 3.3. The chain rule.**Mon Oct 02**: [slides] 3.4. The product and quotient rules.**Wed Oct 04**: Second Test. Sections 2.1--2.4, 3.1--3.4- Third part: Applications of Derivatives
**Fri Oct 06**: [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 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.**Wed Oct 11**: 4.3. Global maxima and minima**Fri Oct 13**: 4.4. Applications to Finance (I)**Mon Oct 16**: 4.4. Applications to Finance (II)**Wed Oct 18**: Third Test. Sections 3.2, 4.1--4.4- Fourth part: Introduction to antiderivatives
**Mon Oct 23**: 7.1. Intro to antiderivatives and integration**Wed Oct 25**: 7.2. Integration by substitution (I)**Fri Oct 27**: 7.2. Integration by substitution (II)**Mon Oct 30**: 7.4. Integration by parts (I)**Wed Nov 01**: 7.4. Integration by parts (II)**Fri Nov 03**: Fourth Test. Sections 4.1--4.4, 7.1, 7.2, and 7.4.- Fifth part: Applications of antiderivatives
**Mon Nov 06**: 5.3. Area**Wed Nov 08**: 7.3. The Fundamental Theorem of Calculus**Fri Nov 10**: 5.2. Approximations to the definite integral by Riemann sums**Mon Nov 13**: 5.4. Interpretations of the definite integral as total change**Wed Nov 15**: 6.1 & 5.3. Interpretations of the definite integral as average value.**Fri Nov 17**: 5.3 & 6.2. Area between two curves. Consumer and producer surplus**Mon Nov 20**: Fifth Test. Sections 5.2--5.4, 6.1 and 7.3.- Sixth part: Advanced Topics and Review
**Wed Nov 27**: Advanced Topics (TBA)**Fri Nov 29**: Advanced Topics (TBA)**Mon Nov 01**: Advanced Topics (TBA)**Mon Nov 04**: Review**Wed Nov 06**: Review**Fri Dec 08**: Review