Northern Illinois University

**PREREQUISITE:**
Math 155 or Satisfactory performance on the Placement Exam

- To understand the fundamental concepts of the calculus and connect them with real world problems from other disciplines.
- To value mathematics and develop an ability to communicate mathematics, both in writing and orally.
- To develop mathematical reasoning and problem-solving abilities.
- To attain computational facility in differential and integral calculus.

The course will cover Chapters 1-4 of the text plus the Special Appendix (Section 14.3) on partial derivatives.

- Limits and Continuity. The Intermediate Value Theorem.
- Tangent and Velocity Problems
- Derivatives:

Limit Definition. Differentiation formulas. Trig formulas. Chain Rule and implicit differentiation. Rates of Change. - Applications of Derivatives:

Related Rates. Linear Approximations. Local and Absolute Extrema. Mean Value Theorem. Curve Sketching. Optimization. Newton's Method. - Integrals:

Antiderivatives. The Substitution Rule. Areas and the Definite Integral. The Fundamental Theorem of Calculus. - Computation of Partial Derivatives.

**HOMEWORK **

Click here
for the list of suggested homework exercises.

**WITHDRAWAL:**
The last day for undergraduates to withdraw from a full-session course
is Friday, March 6, 2015.

**GRADING:**
Grades will be assigned on the basis of 650 points, as follows:

- 3 hour exams worth 100 points each
- Quizzes and/or homework, 150 points total
- Final exam, 200 points

**Websites for certain sections:**

**SAMPLE EXAMS:**
Typical Math 229 exams involve non-routine calculations. You may
wish to look at some first exams from previous semesters to see the
level of analysis we expect students to be able to carry out.

NOTE: If you are looking for the sample exam, it is in PDF format, so
you will need
Adobe's Acrobat Reader which is a free and useful download. Click on
the above link to get the latest version of the Acrobat Reader.

Exam 1 (Fall 1999)

Exam 1 Answers (Fall 1999)

Exam 1 (Spring 2011)

Exam 2 (Fall 1999)

Exam 2 Answers (Fall 1999)

Exam 2 (Spring 2011)

Exam 3 (Fall 1999)

Exam 3 (Spring 2011)

Final Exam (Spring 2011)

Final Exam (Fall 2011)

Please note that different instructors assign different exams,
so that a certain raw score on one test might be comparable to
a very different score on another.

** Caution: ** These exams are from a different semester. The subject
matter was comparable, but the text, the audience, the instructor, and the
testing environment may have been different from what you will face.
The testing points in the syllabus also vary from semester to semester.
Please remember in addition that tests cannot be comprehensive; therefore,
there are topics ** not ** on this test for which the students were -
** and you will be ** - responsible for studying in prepartion for the
your own test.

**CALCULUS TUTORING CENTER:**
The Calculus Tutoring Center is in DU 326. There is tutoring for
211, 229 and 230 (and 155 when needed). The primary focus is on 229
and 230. There are also tutoring videos and a schedule at this
link.

**FINAL EXAM:**
The Final Exam is scheduled for 6:00 - 7:50 p.m., Monday, May 4, 2015.
The final exam will be a comprehensive, departmental examination.
All sections of this course will take the same final exam
at the same time.
Please note that the exam will likely NOT be in your regular classroom.
Room assignments from the university are usually made one to two weeks
before the final exam week. We will post them as soon as they are available.

Here is an Outline of the final exam for Spring Semester 2011

Here is the actual final exam given in the Spring Semester 2011

**CALCULATORS:**
Students are asked to have a graphing calculator with roughly the
capabilities of the TI-83. You will find this useful for investigating
the concepts of the class, so you can experiment with additional
examples. You may also want to verify parts of your homework calculations.
Calculators with communication abilities, as well as cell phone
calculators are **NOT** allowed on the final exam.
Your instructor may further regulate the use of calculators on the hour exams.
Most, if not all, of the exam problems can be solved without their use.

**TEXT:**
Calculus, Northern Illinois University Edition, Volume 1 (seventh edition)
by James Stewart (publ. by Brooks/Cole Cengage Learning)

The textbook is now in Edition 7. Buy the complete text if you plan to take all three semesters of Calculus: 229, 230, 232; otherwise buy the one semester book.

To those of you who will be going on to Math 230 next semester:
**Do not sell your Math 229 textbook!**
You will need it (in addition to the second chunk of Stewart's
textbook) in Math 230. Also, you will do well to refresh your
differentiation and integration skills in the weeks before you
begin Math 230. That course begins where Math 229 leaves off,
and good differentiation and basic integration skills are
essential to success in it.

Some additional references:

Thomas and Finney, ** Calculus and Analytic Geometry.**

Edwards and Penney, ** Calculus and Analytic Geometry.**

Swokowski, ** Calculus with Analytic Geometry.**

Leithold, ** The Calculus with Analytic Geometry.**

**STUDENT HANDOUTS:**
Please note that any information provided by *your* instructor
supersedes this information.

- Partial Derivatives
- Suggested lecture pace
- Suggested Homework
- Supplementary Exercises

- Differentiation Problems
- Solutions to Differentiation Problems
- Anti Differentiation Problems
- Solutions to Anti Differentiation Problems
- Practice Substitution Problems
- Solutions to Substitution Practice

- Resources on the
Web

- Understanding Mathematics: a study guide,
from the University of Utah

- Calculus resource list from the Math Archives, from the University of Tennessee at Knoxville
- Calculus resource list from the Math Forum,
from Swarthmore College

- "Symbolic calculators" on-line which will compute derivatives and integrals.

**ACADEMIC CONDUCT:**
Academic honesty and mutual respect (student with student
and instructor with student) are expected in this course.
Mutual respect means being on time for class and not leaving early,
being prepared to give full attention to class work, not reading
newspapers or other material in class, not using cell phones
or pagers during class time, and not looking at another student's
work during exams. Academic misconduct, as defined by the Student
Judicial Code, will not be treated lightly.

**DRC STATEMENT: **
If you have specific physical, psychiatric, or learning disabilities and
require accomodations, please let your instructor know early in the semester
so that your learning needs may be appropriately met. You will need to
provide documentation of your disability to the DRC (Disability Resource Center) Office located in the Health Services Building, 4th floor.

**Study for Success.**
Perhaps the single most important factor in your success
in this course is your ** study habits **.
This is a fast paced course, with little room for catching up
if you fall behind.
Successful students have good time management skills.
Set aside at least three nights a week to study the topics and
work the homework problems.
Do not wait until exam time to try to learn new material.

Calculus is based on deep concepts that will be entirely new to you if this is your first calculus course. Even for those of you seeing it for a second time, calculus taught at the university level is presented at a level beyond the mechanical course often taught in high school. A deeper understanding of these new concepts will allow you to solve many difficult problems you have never seen before.

The homework problems are intended to be an aid in reaching this level of understanding, not an exhaustive list of the sorts of tricks you will be required to perform on exams.

In summary, to succeed in this course:

- read the book or the lecture notes;
- work the homework;
- always come to class.

Last update: 1/12/15