## MA141—Summer 2014

# Section 002

## InstructorFrancisco Blanco-Silva |
## Teaching AssistantShuliang Bai |

## Meeting Times and Office Hours

Lectures: |
Morning session | MTWThF |
8:30 AM – 10:30 AM | Humanities 104 |

Evening session | MWF |
2:50 PM – 4:05 PM | LeConte 412 | |

Computer Labs: |
TTh |
2:50 PM – 4:20 PM | LeConte 102 | |

Office Hours: |
Francisco | MTWThF |
10:45 AM – 11:45 AM | LeConte 307 |

Shuliang | TW |
12:00 – 1:00 PM | LeConte 105 |

## Important deadlines you need to know

The Columbia Summer E session begins Monday, June 2^{nd}, and ends Thursday, June 26^{th}. The last day to drop/add is Tuesday, June 3^{rd}. The deadline to obtain a “W” grade or to elect a pass/fail grade is Friday, June 13^{th}. The first day in which a “WF” grade is assigned is therefore Saturday, June 14^{th}.

## Prerequisites

Qualifications through Placement code MA4-9 or MD0-9 required: earned by grade of **C** or better in MATH 112, 115, 116 or by PreCalculus Placement Test.

## Text

*Calculus. Early Transcendentals* by James Stewart. **Thompson Brooks/Cole** 2008 (sixth edition)

Calculus: Early Transcendentals | Student Solutions Manual |

You will be required to use Enhanced WebAssign, the online homework/quiz system that accompanies your textbook, for my course. If you choose to purchase a hard copy of the textbook, you need to purchase the bundle that comes with the Enhanced WebAssign code.

## Course Structure and Grading Policies

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

F = 0.1 * (Q + CL) + 0.15 * (ME1 + ME2 + ME3 + ME4) + 0.2 * FE |

**Quizzes**: (up to 100 points) 10% of the course grade. Quizzes have been assigned for each topic (you can see their schedule at the end of this page, under**Lesson Plan**). The quizzes are posted on WebAssign. They are due at midnight on the announced days, and will be graded online.In order to sign up for your section of the course on WebAssign, visit www.webassign.net and click on [

**I have a Class Key**]. The class key is`sc 3807 8051`Click [here] to retrieve further registration instructions.

**Computer Labs**: (up to 100 points) 10% of the course grade.**Midterm Exams**: (up to 100 points each) 60% of the course grade (15% each midterm). There will be four in-class midterm exams scheduled as follows:

Test # Date **1**Thu, Jun 05 **2**Tue, Jun 10 **3**Mon, Jun 16 **4**Mon, Jun 23 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**: (up to 100 points) 20% of the course grade. The final exam is scheduled on Friday, Jan 27^{th}from 8:30 AM to 10:30 AM.No make-up final exam will be given. Only medical, death in the family, religious or official USC business reasons are valid excuses for missing the Final Exam, and must be verified by letter from a doctor, guardian or supervisor.

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% |

## 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 Disability Services**: If you have special needs as addressed by the*Americans with Disabilities Act*and need any assistance, please notify the instructor immediately.**Summer Tutoring:**Summer Online Tutoring is available for this class through the Student Success Center at the University of South Carolina. Tutoring sessions are by appointment only and must be made at least 24 hours in advance. Please visit www.sc.edu/tutoring to make an appointment. You appointment confirmation email will also include a link to the online tutoring room you will enter at the time of your appointment. The tutor is a current USC student and Student Success Center peer tutor. If you have any questions or have trouble making an appointment or accessing the online tutoring room, please email tutoring@sc.edu.

## Learning Outcomes

A student who successfully completes Calculus I (MATH 141) should continue to develop as an independent learner with the ability to approach problems from a conceptual viewpoint, to utilize more than one idea in a single problem, and to apply appropriate calculus skills to problems in context. In particular, the successful student will master concepts and gain skills needed to solve problems related to:

- Handling Functions
- Functions and their graphs
- Finding limits graphically, numerically and analytically
- Continuity and one-sided limits
- Infinite limits and limits at infinity

- Differentiation
- The derivative and rates of change
- Basic differentiation rules
- Polynomials
- Exponentials
- Trigonometric functions
- Logarithmic functions
- The product and quotient rule
- Chain rule

- Implicit differentiation
- Applications of differentiation
- Related rates
- Extrema on an interval
- Mean Value Theorem
- Curve sketching
- L’Hospital’s Rule
- Optimization problems

- Integration
- Antiderivatives and indeterminate integrals
- Definite Integrals
- The Fundamental Theorem of Calculus
- Basic computation of area between curves
- Basic computation of volume of solids of revolution

## Lesson plan

**First part: Functions****Mon Jun 02**: 1.2, 1.5 and 1.6: Intro to Functions. Exponential and Logarithmic Functions

[pp.20–22: 1abcde, 2abcef, 5, 6, 7, 27, 28, 30, 38, 41, 42; p.58: 3, 4, 7, 8, 9, 10, 15, 17, 18; p.71: 33–39, 47–52]**Tue Jun 03**: 1.3: New functions from old functions

[pp.43–44: 1, 2, 3, 4, 5, 31, 32, 33, 34, 35, 36, 37, 38, 41, 42]**Wed Jun 04**: 2.2, 2.3 and 2.5: Limits and Continuity

[p.97: 4, 5, 6, 25, 26, 27, 29, 32, 34a. p.106: 1, 3–9, 11–27; pp.128: 3a, 4, 10–13, 16–18, 20, 35, 37, 39, 41, 42]

[Quiz #1 due today]**Thu Jun 05**: First Midterm—sections 1.2, 1.3, 1.5, 1.6, 2.2, 2.3, 2.5 and 2.6

**Second Part: Introduction to Differentiation****Fri Jun 06**: Intro to derivatives:

2.7 and 2.8: Definition, usage [p.150 :4ab, 5–8, 10ab, 21, 25–30]

3.1: Derivatives of Polynomials and Exponential functions [p.180: 3–30, 33, 34, 45, 52, 53, 54]

3.3: Derivatives of Trigonometric functions [p.195: 1–6, 9–14, 21, 23, 24, 25a, 34]

3.6: Derivatives of Logarithmic functions [p.220: 2–22, 27–30, 33, 34, 37–50]**Mon Jun 09**:

3.2, 3.4. 3.5 and 3.6: Product, Quotient and Chain Rules. Implicit and Logarithmic differentiation

[p.187: 1, 2, 7, 8, 9, 10, 11, 13, 14, 15, 16, 19, 21, 22, 26, 29, 31, 52; p.203: 1—21, 23, 25–30, 32–34, 36, 37, 51–54, 62; p.213: 1–30, 63, 64a, 65, 66]

[Quiz #2 due today]**Tue Jan 10**: Second Midterm—sections 2.7, 2.8, 3.1, 3.2, 3.3, 3.4, 3.5 and 3.6

**Third Part: Applications of Differentiation****Wed Jan 11**: 4.1, 4.2 and 4.3: Maximum and Minimum values. First and Second Derivative Test. The Mean Value Theorem.

[p.277: 6, 8, 10, 29–44, 47–62; p.295: 5, 6, 7, 9–22, 33–50]**Thu Jun 12**: 4.4: L’Hopital’s Rule

[p.304: 5–64]**Fri Jun 13**: 4.5: Curve Sketching

[p.314: 1–27]

[Quiz #3 due today]**Mon Jan 16**: Third Midterm—sections 4.1, 4.2, 4.3, 4.4, and 4.5**Tue Jan 17**: 3.9: Related Rates I

[p.245: 1–33]**Wed Jan 18**: 4.7: Optimization Problems

[see assignment online in webassign]**Wed Jan 19**: Review of story problems

[Quiz #4 due today]**Fri Jan 20**: NO CLASSES TODAY**Mon Jan 23**: Fourth Midterm—sections 3.9, and 4.7

**Fourth Part: Introduction to Integration****Tue Jun 24**: 4.9 and 5.4: Antiderivatives and indefinite integrals

[p.345: 1–15, 18, 18, 21; p.397: 5–18]**Wed Jun 25**: Appendix E, 5.1 and 5.2: Sigma notation. Intro to Definite Integrals

[p.A38: 1–36, 43–46]**Thu Jun 26**: 5.3: The Fundamental Theorem of Calculus

[p.388: 7–12, 19–33, 35, 36, 39, 40, 65, 66, 68, 74]