**MAT 191 Calculus I, Section 03, CN
20710 Spring 2013**

**Class meets MWF 11:30 AM - 12:55
PM in SBS B209**

**Instructor: **

**Office**: NSM A-123; **Office phone number**: (310) 243- 3139

**e****-mail
address**: sraianu@csudh.edu; URL: **http://www.csudh.edu/math/sraianu**;

**Office
hours**: Wednesday:
4:00 p.m.-5:00 p.m., Friday: 1:00 p.m.- 4:00 p.m., or by appointment.

**Course
Description: **MAT
191, Calculus I, covers Chapters 1-5 from the textbook: Differential and
integral calculus of one variable: limits, continuity, derivatives and
application of derivatives, integrals, Fundamental Theorem of Calculus, inverse
functions.

**Text: James Stewart**, Essential Calculus, Brooks/Cole, 2007.

**Objectives: **After completing MAT 191 the student should be able to:

- Understand the four basic
concepts of one-variable calculus; the limit, the concept of continuity,
the derivative and the integral of a function of one variable
- Use the rules of
differentiation to compute derivatives of algebraic and trigonometric
functions
- Use derivatives to solve
problems involving rates of change, tangent lines, velocity (speed),
acceleration, optimization, and related rates.
- Investigate the graph of a
function with the aid of its first and second derivatives: asymptotes,
continuity, tangency, monotonicity, concavity, extrema, inflection points,
etc.
- Understand the meanings of
indefinite integral and the definite integral of a function of one
variable, and their relationship to the derivative of a function via the
Fundamental Theorem of Calculus
- Use rules of integration
including the Substitution Rule to evaluate indefinite and definite
integrals
- Differentiate Exponential, Logarithmic, and Inverse
Trigonometric Functions
- Use l'Hospital's Rule

**Prerequisites: **MAT 153 or equivalent with a grade of "C" or
better.

**Grades: **Grades will be based on **three in‑class 80-minutes
examinations** (60% total), a comprehensive **final examination** (25%), and **quizzes**,
**homework**, **attendance** and other assignments (15%) for the remainder.

The exact grading system for your section is the following:

Each of the **three
80-minutes exams** will be graded on a 100 scale, then
the sum of the scores is divided by 5 and denoted by E.

**Homework** will be due every Monday, and each homework is worth 5 points. No late homework will be
accepted. The average of all homework scores is denoted by H.

**5 to 10 minutes
quizzes** will be
given in principle every Monday, and will be graded on a scale from 1 to 5. The average of the quizzes scores is denoted by Q.

There are also 5 points awarded for **attendance and class participation**. This portion
of the grade is denoted by A.

The **final exam**
will be graded out of a maximum possible 200, then the
score is divided by 8 and denoted by F.

To determine your **final
grade**, compute E+H+Q+A+F. The maximum is 100, and the grade will be given
by the rule:

A: 93‑100; A‑: 90‑92; B+: 87‑89; B:
83‑86; B‑: 80‑82

C+: 77‑79; C: 73‑76; C‑: 70‑72; D+:
67‑69; D: 60‑66; F: Less than 60.

**WebWorK: **There will be three WebWork
assignments. You should go to my web site, follow the link, then log in using
as user name your CSUDH email user name (i.e. first initial followed by last
name and a number), and your student ID as password (change the password after
the first log in). Each of the three assignments are
due before

**Makeups:** No makeup examinations or
quizzes will be given. If you must miss an examination for a legitimate reason,
discuss this, in advance, with me, and I may then substitute the relevant score
from your final examination for the missing grade.

**Accomodations
for Students with Disabilities: **Cal State Dominguez Hills adheres to all applicable federal,
state, and local laws, regulations, and guidelines with respect to providing
reasonable accommodations for students with temporary and permanent
disabilities. If you have a disability that may adversely affect your work in
this class, I encourage you to register with Disabled Student Services (DSS)
and to talk with me about how I can best help you. All disclosures of
disabilities will be kept strictly confidential. Please note: no accommodation
may be made until you register with the DSS in WH B250. For information call
(310) 243-3660 or to use telecommunications Device for the Deaf, call (310)
243-2028.

**Academic Integrity: **The mathematics department does
not tolerate cheating. Students who have questions or concerns about academic
integrity should ask their professors or the counselors in the Student
Development Office, or refer to the University Catalog for more information.
(Look in the index under "academic integrity".)

**Technology: **Symbolic calculators, such as
TI-89, TI-92 or TI-nspire CAS are not acceptable for this course.

**Exam rules: **Students must leave their CSUDH
student ID on their desk for the duration of the exam. Cell phones, iPhones,
iPods, or PDAs of any kind, as well as hea

**Tentative
schedule and homework assignments**

**W 1/23:** 1.1 Functions and Their
Representations: (odd)1-7,17-39,41-49,53-61

**F 1****/25: **1.2 A Catalog of Essential Functions: (odd)1,11,13,15,19-51

**M 1/28: **1.3 The Limit of a Function: (odd)1-17,21,23,29-41

**W 1/30: **1.4 Calculating Limits: (odd)1-23,29-39,43-49

**F 2/1:** 1.5
Continuity: 3,5,13,19,29,33(b)

**M 2/4: **1.6 Limits Involving Infinity: (odd)1-7,13-31

**W 2/6:** 2.1
Derivatives and Rates of Change: 2,3-6,9,16,17,23,25,27

**F 2/8: **2.2 The Derivative as a Function: (odd) 3,23,27

**M 2/11: **2.3 Basic Differentiation
Formulas: (odd)1-25,29,31,43

**W 2/13:** 2.4 The Product and Quotient Rules: (odd)1-31,33-41

**F 2/15: Review**

**M 2/18: Presidents
Day Holiday**

**W 2/20:** **Exam
I**

**F 2/22: **2.5 The Chain Rule: (odd)1-39

**M 2/25: **2.5 The Chain Rule: (even)2-40

**W 2/27: **2.6 Implicit Differentiation: (odd)3-19,23,25

**F 3/1: **2.7 Related Rates: (odd)1-9,13

**M 3/4: ** 2.8
Linear Approximations and Differentials:1,3,11,15,17

**W 3/6:** ** **3.1 Maximum and Minimum Values:
(odd)7-33

**F 3/8: ** 3.2
The Mean Value Theorem: 19,23,27

**M 3/11: **3.3 Derivatives and the Shape of
Graphs: (odd)1-31

**W 3/13:** 3.4 Curve Sketching: (odd)1-33

**F 3/15: **3.5 Optimization Problems:
1,9,11,13,18,19,21,31,33,37

**M 3/18:** **Review**

**W 3/20: Exam
II**

**F 3/22: **3.7 Antiderivatives: (odd)1-27,33,35,39,45

**M 3/25: **4.1 Areas and Distances: (odd)1-15

**W 3/27:** 4.2 The Definite Integral: (odd)1-25

**F 3/29: **4.3 Evaluating Definite
Integrals: (odd)1-29,35,37,41

**M 4/1: Spring Recess**

**W 4/3: Spring Recess**

**F 4/5: Spring Recess**

**M 4/8:** 4.4 The Fundamental Theorem of
Calculus: (odd)1-25

**W 4/10: **4**.**5 The Substitution Rule: (odd)1-21

**F 4/12:** 4**.**5 The Substitution Rule: (odd)23-47

**M/4/15: **5.1 Inverse Functions: (odd)1-25,31-39

**W 4/17:** 5.2 The Natural Logarithmic Function:
(odd)1-41,51-61

**F 4/19: **5.3 The Natural Exponential
Function: (odd)1-35,57-63

**M 4/22:** 5.4 General Logarithmic and
Exponential Functions: (odd)1-9,21-37

**W 4/24: Review**

**F 4/26:** **Exam
III**

**M 4/29: **5.5 Exponential Growth and
Decay: 1,3,5,9,13,19

**W 5/1: **5.6** **Inverse
Trigonometric Functions: (odd)1-37

**F 5/3:** 5.6** **Inverse Trigonometric Functions: (even)2-36

**M 5/6: **5.8 Indeterminate Forms and l'Hospital Rule: (odd)1-35

**W 5/8: **5.8 Indeterminate Forms and l'Hospital Rule: (even)2-36

**F 5/10: Review**

**Final examination: Wednesday, May 15, 11:30 AM - 1:30 PM.**

Important
Dates:

January 19-February 8* |
Saturday-Friday |
Change of Program and Add/Drop
Deadline |

January 21 |
Monday |
Martin Luther King Jr. Holiday-Campus
Closed |

February 1 |
Friday |
Instructor Drop Deadline |

February 8 |
Friday |
Credit/No Credit and Audit Grading Deadline |

February 8 |
Friday |
Last Day to Drop from FT to PT
Status with Refund |

February 15 |
Friday |
Drop without Record of Enrollment Deadline |

February 15 |
Friday |
Student Census |

February 16-April 18 |
Saturday-Thursday |
Serious and Compelling Reason Required to
Drop/Withdraw |

February 18 |
Monday |
President’s Day Holiday-No
Classes-Campus Open |

March 27 |
Wednesday |
Last Day for Pro-rata Refund of
Non-Resident Tuition and Tuition Fees |

April 1-April 6 |
Monday-Saturday |
Spring Recess (includes Cesar
Chavez Holiday) |

April 19-May 10* |
Friday-Friday |
Serious Accident/Illness Required to
Drop/Withdraw |

May 10 |
Friday |
Last Day of Scheduled Classes |

May 11 |
Saturday |
Study Day |

May 11-May 17 |
Saturday-Friday |
Final Examination |

May 14 |
Tuesday |
Grades Submission Begin |

May 17-May 18 |
Friday-Saturday |
Commencement |

May 21 |
Tuesday |
Evaluation Day |

May 22, 3 pm* |
Wednesday |
Final Grades Due |

May 22 |
Wednesday |
Semester/Academic Year Ends |