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  • Robert Ellis


Course Description from Bulletin

Transcendental functions and their calculus. Integration techniques. Applications of the integral. Indeterminate forms and improper integrals. Polar coordinates. Numerical series and power series expansions. (4-1-5) (C)

Class electronics policy

Cell phones must be silenced. No texting whatsoever. You may only use laptops/handhelds etc. to access software directly related to the course, such as Mathematica or Webassign. In fact you are encouraged to try things in Mathematica, Wolfram Alpha, etc. during lecture provided you don't lose track of the discussion. Violators will receive one warning and then be dismissed from the classroom for the day. In general you may not use your electronic devices for any purpose not directly related to the class, including email, texting, facebook, instant messaging, game playing, etc.

Code of Academic Honesty

In short, "No student may seek to gain an unfair advantage over another." Don't cheat, and actively avoid plagiarism. See page 255 of the course catalog for the summary statement, and page 29 of the Student Handbook for the full statement. My personal request is that you additionally not tolerate anyone who cheats or plagiarizes, because these behaviors devalue the records of all honest students.

Department Syllabus

See http://iit.edu/csl/am/programs/pdf/Syllabus_Math_152.pdf. This document is a skeleton for the material you see below.


Required for AM majors and all engineering majors

Textbook(s) and required resources

Stewart, Calculus, Hybrid 7th ed., Brooks/Cole (see IIT Bookstore)
Mathematica version 8 (available at IIT Computer Labs)
WebAssign (institution=iit, course ID number provided in class)


Grade of "C" or better in MATH 151 or MATH 149 or Advanced Placement


1. The student should acquire a sound understanding of the common transcendental functions.
2. The student should become proficient in the basic techniques of integration for the evaluation of definite, indefinite, and improper integrals.
3. The student should learn to solve first-order separable and linear differential equations with initial values.
4. The student should learn parametric curves and polar curves and their calculus.
5. The student should learn infinite series, power series and Taylor polynomial and series, and their convergence properties.
6. The student should be able to utilize the computer algebra system Mathematica to explore mathematical concepts, illustrate them graphically, and solve problems numerically or symbolically.
7. The student should become a more effective communicator by developing his/her technical writing skills in the preparation of several Mathematica lab reports.

Course Outline

 Topic Hours
 1. Inverse Functions and their derivatives; Exponential and logarithmic functions; Indeterminate forms and L’Hospital’s rule12
 2. Techniques of integration; Improper integrals12
 3. Differential equations: Euler’s method; 1st order separable DE’s, exponential growth and decay; The logistic equation; 1st order linear DE’s8
 4. Parametric equations and polar coordinates for plane curves 10
 5. Sequences; Numerical series; Convergence tests; Power series; Taylor series; Applications of power/Taylor series12
 6. Complex numbers

Grade break-down and Exams

Your grade will be determined according to the following break-down between WebAssign homework, Mathematica Labs, Recitation participation, Class quizzes and participation, three exams, and a final exam:
 Labs Recit.
 Quizzes & class particip.
 Exam 1
 Exam 2
 Exam 3
 10% 10% 5% 10% 10% 15% 15% 25%

How to fail this class: answer your WebAssign homework by guessing or without writing down full solutions.

Attendance and Punctuality

Regular class attendance is expected of all students for all lecture and lab sessions. Regular class participation and (near-)perfect attendance will be positively considered for borderline grades at the discretion of the instructor. At the discretion of the instructor, unexcused absences from any class/lab/recitation meeting may reduce your final letter grade to a maximum degree according to the following scale:
 Each absence, up to 10   -10% of one letter grade
 (first 10 absences = 1 letter grade)
 Each absence after 10 -20% of one letter grade

Arriving after attendance is collected counts as absent; this could be 5-15 minutes after the start time. Excused absences include official IIT activities for which the instructor is given advance notice, and documented emergencies.

Homework and Recitation

Homework will be assigned regularly through WebAssign. It is your responsibility to check for assignments and their due dates. You are expected to work out a solution on paper before submitting the answer in WebAssign, and must do so if you ask for help from the ARC/TA/professor. Writing out the solution also increases the chances that you are actually learning the material rather than guessing.

Recitation attendance and participation is required (alternating on Fridays with Lab meetings at the 1:50p-3:05p time). Recitation participation consists of three main components, with minor variation at the discretion of the TA:

  1. Voting on problems and topics to cover by midnight Wednesday before the Friday recitation meeting;
  2. Answering specific (typically short) questions from the TA during recitation; and/or
  3. Working and explaining problems at the board---the current expectation is one problem of at least medium difficulty over the course of the semester. After all have had an opportunity, repeat attempts can be made to replace a low score.

Homework Collaboration

Allowable aids/resources for various components of the course are as follows.

  • Understanding lectures/lecture notes/supplementary material: no restriction, except you may not copy another student's lecture notes except for occasional absences.
  • Assigned homework problems: your lecture notes, the course text, a calculator or computer algebra system (e.g., Mathematica), a tutor in the ARC, the course TA, or the course instructor. You may also discuss with another student in your own class provided all records are destroyed/discarded before you work the problem on your own for submission.
You may not access a solution from any other source and later write your own solution. You may not otherwise refer to any notes or solutions besides what you create yourself, except for the above mentioned limited borrowing of lecture notes from other students in the same section due to occasional absence.

Use your common sense to extrapolate from these guidelines or contact the instructor regarding uncertainties. It is recommended to practice a problem until you can solve it quickly without calculator or Mathematica in order to prepare for exams. For even problems and labs, solution manuals and solution sets from previous courses are strictly prohibited.


The instructor reserves the right to give short in-class quizzes up to once per week in class, either announced or unannounced. The default conditions for these quizzes will be pen or pencil only, 15 minute time limit, no collaboration.

Mathematica Labs

Labs occupy alternate Fridays at the 1:50p-3:05p time. Each time a Mathematica lab assignment will be started, and will be due on Wednesday 12 days later. (Otherwise finishing and printing will inevitably obstruct the start of the next lab.)
These labs can be done in groups of at most two students. The allowed collaboration is the same as for homework except that you may freely consult your lab partner; in fact you and your partner (if any) will submit only one lab report. You can obtain a free version of Mathematica from OTS for personal use.

Disability Assistance and Major Disruptive Events

Reasonable accommodations will be made for students with documented disabilities. In order to receive accommodations, students must obtain a letter of accommodation from the Center for Disability Resources and make an appointment to speak with me as soon as possible. The Center for Disability Resources is located in the Life Sciences Building, Room 218, 312-567-5744 or disabilities@iit.edu.

Students experiencing major disruptive life events, including family emergencies and major personal distress, may contact me to discuss the situation. The IIT Counseling Center is available to support you.