MATHEMATICS 208



MATHEMATICS 208-10

CALCULUS III: SEQUENCES, SERIES, AND COORDINATE SYSTEMS

SPRING 2016

TR11:40AM-1:20PM IN SH-C171

Instructor: Emma Lopez

Office: SH-C357

Office hours: MW 10:40am-12:40pm & MTWR 8:00am-8:50am, TR12:30m-1:00pm

Tutorial center hours: MW 8:45am-9:35am & TR 12:05pm-12:35pm

Tutorial center phone: 323-343-5374

Email: etelil_roses@

Math 208P-10 TR 1:30AM-1:20PM IN SH-C135

Final Exam: Tuesday, JUNE 9 FROM 10:45AM-1:15AM IN SH-C171

General course description: Prerequisite: Math 207 with a grade of C or better. Students with a grade less than B- in Math 207 must enroll concurrently in Math 208P. This course will cover infinite series, convergence results about such series, different coordinate systems and their interrelationships.

Textbook:   James Stewart, Calculus Early Transcendental, 7th ed , ISBN-13: 978-0-538-49790-9

Topical outline: Limits of sequences and series, indeterminate forms, Taylor Series, plane coordinate systems, and change of coordinates. 

Student Learning Outcomes: Students who successfully complete Math 208 will be able to:

1. Compute the limit of a convergent sequence algebraically.

2. Determine whether or not a sequence converges.

3. Apply the limit rules for sequences to find the limit of a sequence.

4. Compute the sum of a geometric series or a telescoping series.

5. Use tests (integral, comparison, limit comparison, alternating series, ratio, and root) to determine whether a series converges.

6. Determine whether a series is absolutely convergent.

7. Compute the radius of convergence and interval of convergence of a power series.

8. Represent functions by their Maclaurin and Taylor series and determine the interval of convergence.

9. Multiply, divide, integrate, and differentiate power series.

10. Sketch cylinders and quadratic surfaces in the three dimensional coordinate system.

11. Perform operations on vectors (scalar multiplication, length of a vector, unit vectors, dot product, cross product, angle between two vectors, project one vector onto another).

12. Use the parametric equation of a line and the vector and scalar equation of a plane to solve problems with lines and planes.

13. Sketch the graphs of vector functions; differentiate and integrate vector functions; find the tangent vector to a vector function.

14. Find the arc length and curvature of a curve.

Requirements: Materials- Students should bring a math notebook (with graph paper), pencils, a Scientific calculator. You must enroll in the workshop that corresponds to this course

WEBPAGE: LOPEZEL.

Scientific Calculator: You MUST have a scientific calculator with you, in class, every day, including exam days. The solutions to some problems require their use!

Grading system: Weights and categories

2 Midterms=40%

Final exam: 40%

Homework/Class Participation 5%/15%

Total = 100%

Missing an exam: The score of only one missing exam will be substituted by the score of the Final Exam. Any other missing exams will count as zero.

Calculator policy: Scientific calculators may be used during the lectures and tests.

GRADE DISTRIDUTION

90-100% A

80-89% B

70-79% C

60-69% D

0-59% F

Important Notes

• It is your responsibility to drop the course for any reason. Do not expect me to drop you if you stop attending class.

• Failure to take the Final Exam will result a grade of F in the course.

• Each student is expected to contribute to each class session by arriving on time, being attentive, and participating in the class discussions. Disruptive conversations, eating and sleeping are not acceptable behavior in the classroom environment.

• Students are expected to stay the whole class period. Please avoid disrupting your classmates by arriving late or leaving early.

• No cellular phones, text messengers, etc.

• Cellular phones cannot be used as calculators.

• The use of a scientific or graphing calculator is allowed for homework and exams.

• Cheating during any exam will result in severe consequences such as receiving a failing grade or being dropped from the course as well as being reported as academically dishonest. All phones and notes must be out of reach during exams.

• My job is to teach you the material to the best of my ability, answer your questions, and administer the course. Your job is to take complete notes, turn in class assignments on time, follow instructions, and study.

• Adult content is used in this college course. Anything on this syllabus may be changed, so please pay attention to any announcements made in class.

ADA statement: Reasonable accommodation will be provided to any student who is registered with the Office of Students with Disabilities and requests needed accommodation.

Academic honesty statement: Students are expected to do their own work. Copying the work of others, cheating on exams, and similar violations will be reported to the University Discipline Officer, who has the authority to take disciplinary actions against students who violate the standards of academic honesty.

Student responsibilities: Students are responsible for being aware of all announcements that are made in class, such as changes in exam dates, due dates of homework and papers, and cancellation of class due to instructor’s absence. Students are responsible for announcements made on days that they are absent.

Students must check their CSULA email account regularly for information from the instructor and the Department. Failure to do so may result in missed deadlines or other consequences that might adversely affect students. Note that you can forward this email account to any other account of your choosing.

MPORTANT ANNOUNCEMENT about Q2S conversion (Fall 2016): CSULA is switching to the semester system beginning Fall 2016, and all students need to 1) plan ahead so they can graduate before the transition, or 2) create an individual advisement plan (IAP) if they will graduate after we transition to the semester system. If you will need to develop an IAP, when you log into your GET account, you will get a pop-up message informing you of this.  For more information, please visit the website for the Office of  Semester Conversion ( ). For help in planning ahead to graduate before transition or in creating an IAP, please contact one of the offices below. 

A "Math Department Advisement for Q2S" 2015-2016 Moodle site has been created for all Q2S transitional students. All pertinent information including quarter and semester program sheets, roadmaps, course offering schedules, instructions for how to create IAPs along with samples etc. are posted for students' perusal. 

All Q2S transitional students are advised to complete the preliminary IAP assignment before seeking an IAP (Individualized Advisement Plan) appointment with Dr. Raychaudhuri in Fall 2015.

For Q2S planning and advisement contact:

UNDECLARED MAJORS

University Academic Advisement Center (UAAC)

Library Palmer Wing (PW) Room 1040A

(323) 343-3150

Declared MAJORS:

Their College Advisement Center                          

e.g., Math majors should contact

Natural and Social Sciences (NSS) Advisement Center                          

King Hall (KH) D-1051                                        

(323) 343-5284                                                   



|Week1 |Introduction & Assessment | |          Sec 12.2/12.3 |

| |      Sec 12.1 | | |

|week2 |     PS/12.4 | |         Sec12.4/12.5                     H1 (Sec |

| | | |12.1-12.3) due |

|week3 |     PS/sec 12.6     | |         Sec 12.6/12.7                    |

|week4 |     PS | |             MidtermI                            H2  (Sec |

| | | |12.4-12.7) due |

|week5 |     Sec 13.1 | |          Sec 13.2                                      |

|week6 |     PS/ Sec 13.3 | |          Sec13.4 / PS                       |

|week7 |    Sec 11.1/11.2 | |                                  H3 (Sec 13.1-13.4) due   |

| | | |    |

|week8 |     PS/Sec 11.3 | |         MidtermII              |

|week9 |             Sec11.4 /Sec | |           Sec 11.7/11.8                    H4 (Sec |

| |11.5    PS/ Sec 11.6 | |11.1-11.5) due                  |

|week10 | | |           PS/Sec 11.9                       |

|Final's week|     Final (8:00-10:30AM)  H5| |                            |

| |(Sec 11.6-11.9)  due | | |

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