Instructor:  Dr.  Wai W. Lau        Office:  OMH 241        E-mail:  lauw@ spu.edu
Homepage:  http://myhome.spu.edu/lauw (Link to schedule and other important information)
Office Hour: See course webpage or by appointment
You are strongly encouraged to drop by my office to ask questions, discuss problems.

Prerequisites: MAT 1236 and (MAT 2720 or MAT 3100) or permission of the instructor

Text: Trench, Introduction to Real Analysis.

Calculator: Calculators are not allowed in exams.

Objective:  The goal of this course is to give an introduction to the elementary topics in real analysis.  One of the goals of this course is to continue improving your ability to read, write, and critique mathematical proofs. By the end of the course, a student should

• know the basic properties of cardinality of sets
• know the basic properties of the real number system
• know the basic properties of the topology of the real line
• understand the concepts of Supremum and Infimum
• understand and able to apply the precise definitions of limits and continuity of functions
• understand the concept of uniform continuity
• understand and able to prove and apply the Intermediate Value Theorem
• understand the differentiability of functions and the basic differentiation rules
• understand and able to prove and apply the Intermediate Value Theorem for Derivatives and the Mean Value Theorem
• understand and able to prove and apply L'Hospital's rule
• understand and able to prove and apply Taylor's Theorem

Expectations:

• Able to provide written explanations of the ideas behind key concepts.
• Able to clearly present and explain solutions to problems in both written and verbal form.
• Read and write proofs appropriate at this level.
• Able to work as a team to solve problems.
• Able to work independently to solve problems.
• Able to apply knowledge to new situations.

Exams:  There will be 3 in-class exams and a final.

Homework: Homework problem sets will be assigned. All work must be typed. The ONLY references you can use are the textbook, references listed on the course web page, and the lecture notes.  You cannot use any other resources such as other books, software, and the internet. 
1. Group Homework: You are required to work together in a group of 2 or 3.
2. Individual Homework: No discussion with any other person, except may be the instructor.  Discussing or copying homework is considered as an act of academic dishonesty.
3. Your homework must be logical and easy to read.   Otherwise, no points will be given. The instructor may make you redo your homework sets (again and again) until the presentations are acceptable.
4. Homework must be written with proper logical format.
5. Absolutely no late homework.

Class  Participation:
1. There are reading assignments everyday.  I will ask questions during the class period to check your reading progress.
2. There are classwork in some class sessions.
At the end of the quarter, your grades on class participation will be determined by the above activities and other observations by the instructor.

Makeups on exams ARE NOT AUTOMATIC.  Do NOT assume that because you miss an exam that you will get to make it up. A makeup exam must be APPROVED by me. Lying to avoid taking an exam is considered as an act of academic dishonesty.

A grade of "Incomplete" will not be given if the student does not have a passing grade (70%) at the time of the request.

Grading:  There are 400 points possible.  Your grade will be assigned by the following rules:

Out-of-class Learning Activity Expectations
On average, there are 3 homework assignments per week. Students are expected to spend at least 3.5 hours per assignment. Occasionally, under-prepared students may need more than 3.5 hours to complete an assignment.

Reasonable Accommodation Statement

If you have a specific disability that qualifies you for academic accommodations, please contact Disabled Student Services in the Center for Learning to make your accommodations request. Once your eligibility has been determined, Disabled Student Services will send a Disability Verification Letter to your professors indicating what accommodations have been approved.

Students with disabilities need to contact Disabled Student Services in the Center for Learning to request academic accommodations. Disabled Student Services sends Disability Verification Letters out to all your professors indicating the appropriate accommodations for the classroom based on your disability.

Academic Schedule Religious Accommodation Policy

Students who would like to request an accommodation for a religious holiday (e.g. request that an exam scheduled for a religious holiday be rescheduled) should make a written request within the first two weeks of the course pursuant to SPU’s Academic Schedule Religious Accommodation Policy. The policy is posted in the Undergraduate Student Handbook at https://spu.edu/administration/office-of-student-life/handbook/behavioral-community-expectations/university-policies and on page 16 of the 2019-20 Graduate Student Handbook, which is posted at https://spu.edu/catalog/graduate/20190/student-life.

Penalties for Breaches of Academic Integrity Statement

See the current SPU catalog for the definitions of academic integrity.  In addition, lying to avoid taking an exam is considered by the instructor as an act of academic dishonesty.

Penalties for breaches of academic integrity includes no credits for the work in question or no credits for the course.

Emergency Assembly Areas

Emergency Response Information