## Math 1205:
Differential Calculus, Fall 2010, CRN 98288

## MWF 11:15 am -
12:05 pm, McBryde 308

## Mohamed BEN
ROMDHANE

Graduate Student, **Mathematics Department**, **Virginia Tech**

**Course
Content **

Math 1205 is a 3-credit differential calculus course. We
will cover the material listed on the course syllabus, which deals mainly with
the following topics: limits,
continuity, differentiation, and applications of differentiation. Any
changes will be announced in class.

Each
student is responsible for taking weekly on-line quizzes and completing
assigned homework.

** **

**Text:
***University Calculus*, 1st Edition,
Haas-Weir-Thomas

** **

**Course
Format **

**HW**: Written homework assignments are
posted on the course web page: http://www.emporium.vt.edu/math1205/resources/homework.
Certain assignments will be collected and graded (without previous
announcement). Students may work together on daily homework, but each student
has to return his or her own material; copying of work
is not permitted.

**In-class Quizzes: **There will be in class
quizzes, which may be announced or unannounced. In-class quizzes will be given
occasionally on the material covered in the homework.

**Emporium Quizzes (***On-line Quizzes*): They
are required. The syllabus shows the deadlines for each one. For further
information, see the course web page. Your lowest Emporium Quizzes grade
(except the grade of Quiz 1) will be dropped, so you should note that Quiz 1
will **NEVER **be one of the ones dropped.

**Note:
**No late papers (including quizzes, homework and
labs) will be accepted. A grade of zero will be assigned for any paper
not on time. However, your lowest two homework / in
class-quizzes grades will be dropped (means a total of two grades will
be dropped, but not two homework and two quizzes grades).

** **

**Attendance **

Attendance
will be recorded during each lecture. Attendance does not count as part of the
grade; but you are responsible for any announcements made in class, and for any
material and assignments missed.

**Tests **

There
will be 3 common-time tests which are (tentatively) scheduled for:

7:00pm, 15 September 2010

7:00pm, 27 October 2010

7:00pm, 01 December 2010

The
common final exam will be Friday, 10 December 2010: 4:25 pm - 6:25 pm.

The
locations for the tests and for the final exam will be announced on the Math
1205 web page. Typically, they will not be the same as our lecture class.

####

####
Honor System:

#### Virginia Tech Honor Code applies for all
graded work..

###

####
Resource Links

__1205 Course Contract__

__1205 Syllabus Fall-2010 __

__Math
1205 course web-page____ __

__Scholar__

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###
Course outline

### Chapter 2: Limits and Continuity

### Section
2.2: Limit of a function and limit laws

### Section
2.3: The precise definition of a limit

### Section
2.4: One sided limit, limit at infinity and Horizontal asymptotes

###
Section
2.5: Infinite limits and Vertical asymptotes.

### Section
2.6: Continuity / Intermediate Value Theorem

### Section
2.7: Tangents at a point

###

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### Chapter 3: Differentiation

### Section 3.1: The derivative as a function

### Section 3.2: Differentiation rules (for
Polynomials, Exponentials, Products and Quotients)

### Section
3.3: The derivative as a rate of change

### Section
3.4: Derivatives of trigonometric functions

###
Section
3.5: The chain rule

### Section
3.6: Implicit differentiation

### Section
3.7: Derivatives of inverse functions and Logarithms

### Section 3.8: Inverse trigonometric functions

### Section 3.9: Related Rates

### Section 3.10: Linearization and Differentials

###

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### Chapter 4: Applications of Derivatives

### Section
4.7: Newton’s method

### Supplemental
notes: Taylor Polynomials

### Section
4.1: Extreme values of a function

### Section
4.2: The Mean Value Theorem

### Section
4.3: Monotonic functions and the First derivative test

### Section
4.4: Concavity and Curve sketching

### Section
4.5: Applied optimization

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Questions or comments?
Contact: mbenromd@vt.edu

*
Revision Date: September, 2010*