# MATH 122 Fall 2015

## Sections 1 and 4

### Meeting Times

Section 01: |
TTh |
1:15 PM - 2:30 PM | Wardlaw 126 |

Section 04: |
MWF |
10:50 AM - 11:40 AM | Gambrell 151 |

### Important deadlines you need to know

- The semester begins Thursday, August 20th, and ends Friday, December 4th.
- The deadline to drop/add and the last day to change credit/audit is Wednesday, August 26th. The first day in which a "W" grade is assigned is therefore Thursday, August 27th.
- The last day to obtain a "W" grade or to elect a pass/fail grade is Monday, October 19th. The first day in which a "WF" grade is assigned is therefore Tuesday, October 20th.

### 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 01: www.wileyplus.com/class/464909

### Section 04: www.wileyplus.com/class/464913

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 = 0.15 * (HW + Q) + 0.15 * (ME1 + ME2 + ME3) + 0.25 * FE`**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 15%, for a total of 45% of the course grade. There will be three in-class midterm exams tentatively scheduled as follows:

Test # Section 01 Section 04 **1**Thu, Sep 10 Mon, Sep 14 **2**Tue, Oct 13 Mon, Oct 12 **3**Thu, Nov 12 Wed, Nov 11 **Final exam**: 25% of the course grade. The dates for the final exam are:

- Section 01: Thursday, Dec 10th at 12:30PM.
- Section 04: Monday, Dec 7th 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]
**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 Instructors are as follows:
- Section 01: Caroline Regner.
- Section 04: TBA.

### 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

### Section 01

**Thu Aug 20**: [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 25**: [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 27**: [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 01**: [slides] 1.5. Exponential functions [p.43 #2,4,6--12,19]**Thu Sep 03**: [slides] 1.6. The natural logarithm [p.50 #1--17,21,27--29]**Tue Sep 08**: [slides] 1.7. Exponential growth and decay [p.56 #1,3--5,8,10--12,16]**Thu Sep 10**: First Midterm. Sections 1.1, 1.2, 1.3, 1.4, 1.5, 1.6, and 1.7.**Tue Sep 15**: [slides] 1.8 & 1.9. Power functions, polynomials. Reflections, shifts, stretches. [p.62 #1--9,32--41; p.67 #1--12]**Thu Sep 17**: [slides] 2.1--2.3. Intro to derivatives: instantaneous rate of change**Tue Sep 22**: [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 24**: [slides] 3.3. The chain rule.**Tue Sep 29**: [slides] 3.4. The product and quotient rules.**Thu Oct 01**: [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 06**: Classes canceled.**Thu Oct 08**: Classes canceled.**Tue Oct 13**: Second Midterm. Sections 1.7, 1.8, 1.9, 2.1--2.5, 3.1, 3.2, and 3.4**Thu Oct 15**: [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 20**: 4.3 & 4.4. Global maxima and minima. Applications to Finance**Tue Oct 27**: 7.1. Intro to antiderivatives and integration.**Thu Oct 29**: 7.2. Integration by substitution**Thu Nov 05**: 7.4. Integration by parts**Tue Nov 10**: 5.3 & 7.3. The Fundamental Theorem of Calculus. The definite integral as area.**Thu Nov 12**: Third Midterm. Sections 4.1--4.4, 7.1, 7.2, and 7.4.**Tue Nov 17**: 5.2. Approximations to the definite integral by Riemann sums (I)**Thu Nov 19**: 5.2 & 5.4. Approximations to the definite integral by Riemann sums (II). Interpretations of the definite integral as total change**Tue Nov 24**: 6.1 & 5.3. Interpretations of the definite integral as average value.**Tue Dec 01**: 5.3 & 6.2. Area between two curves. Consumer and producer surplus**Thu Dec 03**: Review

### Section 04

**Fri Aug 21**: Background Algebra**Mon Aug 24**: [slides] 1.1. Intro to functions. [p.5 #2,3,4,7,8,10,11,12a,13,14,16,23,24a]**Wed Aug 26**: [slides] 1.2. Linear functions. [p.12 #5,6,7,8,14,15]**Fri Aug 28**: [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 31**: [slides] 1.3 Relative change. [p.22 #42--46]**Wed Sep 02**: [slides] 1.4. Applications of functions to Economics. [p.35 #4,6,8,9,10,11,19,20,22,23]**Fri Sep 04**: [slides] 1.5. Exponential functions [p.43 #2,4,6--12,19]**Wed Sep 09**: [slides] 1.6. The natural logarithm [p.50 #1--17,21,27--29]**Fri Sep 11**: [slides] 1.7. Exponential growth and decay [p.56 #1,3--5,8,10--12,16]**Mon Sep 14**: Exponential growth and decay (II)**Wed Sep 16**: First Midterm. Sections 1.1, 1.2, 1.3, 1.4, 1.5, 1.6, and 1.7.**Fri Sep 18**: [slides] 1.8 & 1.9. Power functions, polynomials. Reflections, shifts, stretches. [p.62 #1--9,32--41; p.67 #1--12]**Mon Sep 21**: [slides] 2.1--2.3. Intro to derivatives: instantaneous rate of change**Wed 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]**Fri Sep 25**: [slides] 3.2. First applications of the derivative.**Mon Sep 28**: [slides] 3.3. The chain rule.**Wed Sep 30**: [slides] 3.4. The product and quotient rules.**Fri 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]**Mon Oct 05**: Classes canceled.**Wed Oct 07**: Classes canceled.**Fri Oct 09**: Classes canceled.**Mon Oct 12**: Second Midterm. Sections 1.7, 1.8, 1.9, 2.1--2.5, 3.1, 3.2, and 3.4**Wed Oct 14**: [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.**Fri Oct 16**: Local maxima and minima. Inflection points II**Mon Oct 19**: 4.3. Global maxima and minima**Wed Oct 21**: 4.4. Applications to Finance**Mon Oct 26**: 7.1. Intro to antiderivatives and integration**Wed Oct 28**: 7.2. Integration by substitution**Fri Oct 30**: 7.4. Integration by parts (I)**Mon Nov 02**: 7.4. Integration by parts (II)**Wed Nov 04**: 5.3. Area**Fri Nov 06**: 7.3. The Fundamental Theorem of Calculus**Mon Nov 09**: Review**Wed Nov 11**: Third Midterm. Sections 4.1--4.4, 7.1, 7.2, and 7.4.**Fri Nov 13**: 5.2. Approximations to the definite integral by Riemann sums (I)**Mon Nov 16**: 5.2. Approximations to the definite integral by Riemann sums (II)**Wed Nov 18**: 5.4. Interpretations of the definite integral as total change**Fri Nov 20**: 6.1 & 5.3. Interpretations of the definite integral as average value.**Mon Nov 23**: 5.3 & 6.2. Area between two curves. Consumer and producer surplus**Mon Nov 30**: Review**Wed Dec 02**: Review**Dri Dec 04**: Review