## MA122—Spring 2012

### Instructor

Francisco Blanco-Silva

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

**office:** LeConte 307

### Meeting Times

Lectures: |
TTh 12:30 PM – 1:45 PM |
Davis 209 |

Office Hours: |
TTh 2.00 PM — 5.00 PM |
LeConte 307 |

### Prerequisites

Qualifications through algebra placement or a grade of **C** or better in MATH 111/111L. The deadline to drop/add is Friday, January 13^{th}. The first day in which a “W” grade is assigned is therefore Saturday, January 14^{th}. The last day to obtain a “W” grade or to elect a pass/fail grade is Monday, February 27^{th}. The first day in which a “WF” grade is assigned is therefore Tuesday, February 28^{th}.

### Text

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

### Calculator

A graphic 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.

Texas Instruments TI-83 Plus Graphing Calculator | Texas Instruments TI-84 Plus Graphing Calculator |

### Course Structure and Grading Policies

Homework problems will be assigned at the end of each lecture. 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 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 our section of the course on WileyPLUS, visit

http://edugen.wileyplus.com/edugen/class/cls251270/

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.

The result of your HW assignment has no impact whatsoever over your final grade, but it serves as a guideline to understand the type of problems that you will encounter on your quizzes and tests. Your final score for the course will be computed as follows:

- Quizzes: 15% of the course grade.
**Only the 10 best scores are counted.**A ten-minute quiz will be given during selected sessions or through wileyplus.com. There will be no make-up quizzes, since only the best 10 grades count towards the course grade. - 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 # Date **1**Tue, Jan 31 **2**Thu, Feb 23 **3**Tue, Mar 27 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 to the instructor.

- Final exam: 40% of the course grade. The final exam is scheduled on Tuesday, May 1
^{st}, at 2:00 PM.

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 their final grade lowered by half a letter grade (e.g. from C to D+).
- Students missing six sessions without a valid excuse will have their final grade lowered by a full letter grade (e.g. from B to C)
- Students missing eight sessions without a valid excuse will have their final grade lowered by a letter-and-a-half (e.g. from A to C+)

### Further Information

Some useful information:

- 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 Dissabilities 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, 170, 221, 222, and 241. 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
**Student Success Center**and one of four**Academic Centers for Excellence (ACE)**are on the mezzanine level of the Thomas Cooper Library and can be reached by phone at (803) 777-0684 or by going online at www.sc.edu/academicsuccess Other ACE locations around campus make access to these resources easy (Sims Hall, Bates House, Columbia Hall). The centers are at the crossroads of services and information about many special resources for stucents, including advice on developing successful study habits, time management, and effective learning strategies as well as availability of tutoring. - The Supplemental Instructor for this course is Candler Paige. Candler will be holding three sessions a week in the Humanities Building (HU). Her schedule is as follows:

**Mon 7.00 PM**HU 317 **Tue 5.00 PM**HU 405 **Wed 8.00 PM**HU 317

### 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.

### HW Assignments, Quizzes, Exams

**Tue Jan 10**: 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]**Thu Jan 12**: 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]**Tue Jan 17**: 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] [Quiz #1]**Thu Jan 19**: 1.5. Exponential functions [p.43 #2,4,6–12,19] [Quiz #2]**Tue Jan 24**: 1.6. The natural logarithm [p.50 #1–17,21,27–29]**Thu Jan 26**: 1.7. Exponential growth and decay [p.56 #1,3–5,8,10–12,16]**Tue Jan 31**: First Midterm. Sections 1.1, 1.2, 1.3, 1.4, 1.5 and 1.6.**Thu Feb 02**: 1.8 & 1.9. Power functions, polynomials. Compositions, shifts, stretches. [p.62 #1–9,32–41; p.67 #1–12] [Quiz #3]**Tue Feb 07**: 2.1–2.3. Intro to derivatives: instantaneous rate of change [Quiz #4]**Thu Feb 09**: 2.3 & 2.4. Notation and interpretation of the derivative. The second derivative and interpretation in terms of concavity [p.106 #1–4,7,10,16; p.113 #3–8,16,17] [Quiz #5]**Tue Feb 14**: 3.1 & 3.2. Derivative rules [p.139 #1-36, 40,41,45,50; p.144 #1–28,33,34,40] [Quiz #6]**Thu Feb 16**: 3.4. The product and quotient rules. Applications: Marginal analysis [p.119 #9–11,13; p.154 #3,4,7–14,16,20,21,23–28,35,36,41,42; p.140 #59] [Quiz #7]**Tue Feb 21**: 3.3. The chain rule.**Thu Feb 23**: Second Midterm. Sections 1.7, 1.8, 1.9, 2.1–2.5, 3.1, 3.2 and 3.4**Tue Feb 28**: 4.1 & 4.2. Local maxima and minima. Inflection points. [Quiz #8]**Thu Mar 01**: 4.3 & 4.4. Global maxima and minima. Applications to Finance [online version of test#2 posted. due Sat March 3 at 11pm]**Tue Mar 13**: 7.1. Intro to antiderivatives and integration. [Quiz #9]**Thu Mar 15**: 7.2. Integration by substitution [Quiz #10]**Tue Mar 20**: 7.4. Integration by parts [Quiz #11]**Thu Mar 22**: 5.3 & 7.3. The Fundamental Theorem of Calculus. The definite integral as area.**Tue Mar 27**: Third Midterm. Sections 3.1–3.4, 4.1–4.4, 7.1, 7.2 and 7.4.**Thu Apr 29**: 5.2. Approximations to the definite integral by Riemann sums (I) [Quiz #12]**Tue Apr 03**: 5.2 & 5.4. Approximations to the definite integral by Riemann sums (II). Interpretations of the definite integral as total change [Quiz #13]**Thu Apr 05**: 6.1 & 5.3. Interpretations of the definite integral as average value. Area between two curves**Tue Apr 10**: 5.3 & 6.2. Area between two curves. Consumer and producer surplus [Quiz #14]**Thu Apr 12**: Review**Tue Apr 17**: Review**Tue Apr 19**: Review**Tue May 01**: 2.00PM Final Exam.