Math 1953 – Calculus III   Section 4

Lecture Time: 12:00pm – 12:50pm (everyday)   Location: Olin Hall 205
   Monday through Thursday sessions will be led by instructor, Friday session will be led by TA

Instructor: Mei Yin   mei.yin@du.edu
   Office and Office Hours: Knudson Hall 203B, 10:30am – 12:00pm (MW), or by appointment
 
 TA: Dan Graybill   dan.graybill@du.edu
   Office and Office Hours: Knudson Hall 213, TBA

COURSE DESCRIPTION

Topics of study will include integration of functions of one variable, infinite sequences and series, polar coordinates, and parametric equations.

LEARNING OBJECTIVES

By the end of the course, you should be able to:

1. Determine limits of functions using L'Hospital's Rule and justify the conclusion.

2. Identify improper integrals and determine their convergence/divergence properties and justify the conclusion.

3. Identify graphs of curves given parametrically or in polar form.

4. Apply algebraic, geometric, and calculus concepts to functions given in polar form or parametrically.

5. Determine the convergence/divergence properties of a sequence and justify the conclusion, especially by using limits of functions, Squeeze Theorem, and Bounded Monotone Convergence Theorem.

6. Determine the convergence/divergence properties of an infinite series and justify the conclusion, especially by using one or more of the following: definition of a series, Integral Test, Comparison Test, Limit Comparison Test, Alternating Series Test, Ratio Test, and Root Test.

7. Determine the interval of convergence for a function given by a power series, and apply calculus techniques to a function given by a power series.

8. Determine a Taylor series expansion for a given analytic function, use Taylor polynomials to approximate an analytic function or function value.

9. Apply other theorems to determine and justify properties of sequences, series, and power series.
REQUIRED MATERIALS

Textbook – The textbook for this course is Single Variable Calculus: Early Transcendentals, 8th edition, by Stewart. We will be using WebAssign for this course. If you purchased your book from the bookstore, you already received a license for this and will need a course key to log in. Otherwise, you will need to purchase a license. Note that these licenses come with an electronic copy of the book.

Calculator – Students may use a non-graphing, non-programmable calculator on quizzes or exams. Graphing calculators such as the TI-8x series will not be permitted.

GRADES

Your grades will be a weighted average of the following components.
 

Component
Points
Percentage

WebAssign Homework
45
12%

Written Assignments
45
6%

Quizzes
60
12%

Midterm 1
100
20%

Midterm 2
100
20%

Final Exam

150
30%

Total
500
100%

Note that the final exam will be comprehensive (covering the entire quarter).

WebAssign Homework – There will be a weekly assignment on the online homework system through WebAssign. By and large these will be sets of routine problems for you to practice with. You should work these on paper and enter the answers into the site. The system allows for you to get instant feedback as you practice. WebAssign homework will typically be due on Tuesdays. Each WebAssign homework score will count for 5 points and may cover multiple sections; the lowest score will be dropped.

To get started, go to http://www.webassign.net and create an account. To do this, go to the right-hand side of the page, and look for a link that says 'Enter Class Key.' (This is to the left of the words 'Log in.') Your class key for our session is du 2963 4011. With this, you should be able to create an account with your own username and password and start learning about the system.

Written Assignments – Each week a written assignment will be given, due the following Friday (the same day as the quiz). The purpose of these problems is twofold. First it gives you more practice and feedback on your handwritten work. Second, it allows you to address more conceptual questions that may not be compatible with entering a number into WebAssign. Each written assignment will count for 5 points; the lowest written assignment score will be dropped.

Quizzes – There will be a quiz every week on Fridays, except during weeks when there is a midterm. Quiz problems will be based on the assigned homework (WebAssign & written). Each quiz will count for 10 points; the lowest quiz score will be dropped.

Midterms – There will be two in-class 50 minute midterm exams.

·        Midterm 1 – Friday, April 26.

·        Midterm 2 – Friday, May 24.

Final Exam – There will be a cumulative final exam on Wednesday, June 12, 4-5:50pm.

Grading Scale – Point totals in the following ranges will correspond to the following grades. Any modifications to this (which would be minor) will be to the benefit of the student.
 

Point Range
Percentage
Grade

465-500
93-100%
A

450-464
90-92.9%
A-

435-449
87-89.9%
B+

415-434
83-86.9%
B

400-414
80-82.9%
B-

385-399
77-79.9%
C+

365-384
73-76.9%
C

350-364
70-72.9%
C-

335-349
67-69.9%
D+

315-334
63-66.9%
D

300-314
60-62.9%
D-

0-299
0-59.9%
F
 
TENTATIVE SCHEDULE WEEK BY WEEK


Week
Sections Covered

Apr 1 – Apr 5
4.4 – L'Hospital's Rule

7.8 – Improper Integrals

Apr 8 – Apr 12
7.8 – Improper Integrals

11.1 – Sequences

Apr 15 – Apr 19
11.2 – Series

11.3 – Integral Test

Apr 22 – Apr 26
11.4 – Comparison Tests

MIDTERM 1

Apr 29 – May 3
11.5 – Alternating Series

11.6 – Absolute Convergence

May 6 – May 10
11.6 – Ratio and Root Tests

11.7 – Strategy for Testing Series

11.8 – Power Series

May 13 – May 17
11.9 – Representations of Functions as Power Series

11.10 – Taylor and Mclaurin series

May 20 – May 24
11.11 – Taylor Polynomials

MIDTERM 2

May 28 – May 31
10.1, 10.2 – Parametric Curves

Jun 3 – Jun 7
10.3, 10.4 – Polar Curves

Review

Jun 12
FINAL EXAM

OFFICE HOURS/MATH CENTER

Students are encouraged to come to office hours or go to the Math Center. A great deal of learning mathematics comes outside of the classroom and your professor enjoys having students come to office hours to talk about the material.

The Math Center https://portfolio.du.edu/mathcenter provides a place to study, to do homework, and to ask questions. Students are encouraged to work with other students in the same class. When students have questions, assistants at the Math Center will give them hints and will guide them to find the answer. Working in small groups and having discussions with other students is one of the most effective ways to learn mathematics.

DISABILITY SERVICES

If you have a disability/medical issue protected under the Americans with Disabilities Act (ADA) and Section 504 of the Rehabilitation Act and need to request accommodations, please visit the Disability Services Program website at http://www.du.edu/disability/dsp. You may also call (303) 871-2372, or visit in person on the 4th floor of Ruffatto Hall; 1999 E. Evans Ave., Denver, CO.

INCLUSIVE LEARNING ENVIRONMENT

In this class, we will work together to develop a learning community that is inclusive and respectful. Our diversity may be reflected by differences in race, culture, age, religion, sexual orientation, socioeconomic background, and myriad other social identities and life experiences. The goal of inclusiveness, in a diverse community, encourages and appreciates expressions of different ideas, opinions, and beliefs, so that conversations and interactions that could potentially be divisive turn instead into opportunities for intellectual and personal enrichment.

A dedication to inclusiveness requires respecting what others say, their right to say it, and the thoughtful consideration of others' communication. Both speaking up and listening are valuable tools for furthering thoughtful, enlightening dialogue. Respecting one another's individual differences is critical in transforming a collection of diverse individuals into an inclusive, collaborative and excellent learning community. Our core commitment shapes our core expectation for behavior inside and outside of the classroom.

HONOR CODE/ACADEMIC INTEGRITY

All work submitted in this course must be your own. You are encouraged to work together on homework, but make sure that working together does not turn into copying another student's answer. For consequences of violating the Academic Misconduct policy, refer to the University of Denver website on the Honor Code (http://www.du.edu/honorcode).