Department of Mathematical Sciences,
Northern Illinois University

MATH 229 SPRING 2013

| Catalogue description | Prerequisite | Course Objectives | Syllabus | Partial Deriv Handout | Withdrawal | Grading | Sections and instructors | Tutoring Center | Sample Exams | Spring Break | Final Exam | Calculators | Text | Handouts | Extra Practice | Resources on the web | Academic Conduct | DRC Statement | Some advice |

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.

Room assignments for the Final Exam:
Monday, May 6, 2013, 6:00 - 7:50 p.m.
 Section Instructor Room 1,3 Holland DU 204 2 Naidu DU 406 4 Wang DU 248 5 St. George DU 452 6 Moss DU 270 7 Veitch DU 446 8 Blecksmith DU 256 9 Sirotkin DU 240

SYLLABUS

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

PARTIAL DERIVATIVES: There is a special section on Partial Derivatives, written by Prof. J. Thunder, which covers the material of Chapter 14 Section 3 of the Stewart Text. To download this handout, Click Here

WITHDRAWAL: The last day for undergraduates to withdraw from a full-session course is Friday, March 8, 2013.

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

CALCULUS TUTORING CENTER: This semester we are starting the Calculus Tutoring Center. We are still in the Math Assistance Center DU 326 but with a new name. We will be tutoring 211, 229 and 230 (and 155 when needed). Our primary focus is on 229 and 230. This will be the first semester we tutor math 230 in the MAC. We have four tutors who will spend time keeping up with the 229 and 230 material, hold tutoring hours in the MAC, and hold review sessions, mock exams, and problem sessions.

There is a website up at www.niu.edu/mlc. It has links to the course websites, calculus videos (recommended by prior students), and a schedule of all of our sessions. This resource is now available to all NIU calculus students. Our main goal this semester is to increase attendance and offer some additional services.
Send any feedback you have now or during the semester to the Director of the Calculus Tutoring Center: Brian Veitch (email veitch@math.niu.edu).

The tutoring center will hold a couple practice exam sessions next week, starting Monday, Feb 4. The students will take a one hour practice exam followed by them correcting their mistakes while the tutors help out. The times aren't quite set yet, but they will be posted in DU 326 as soon as staff is assigned to lead the practice exam.

Disclaimer: this exam is for practice purposes only and does not necessarily represent the exam you will take in class.

There will be a sign up sheet in the calculus tutoring center (DU 326). If you want to attend, then you must sign up.

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.
Exam 1 (Fall 1999)
Exam 1 (Spring 2011)
Exam 2 (Fall 1999)
Exam 2 (Spring 2011)
Exam 3 (Fall 1999)
Exam 3 (Spring 2011)
Final Exam (Spring 2011)
Final Exam (Fall 2011)
Final Exam (Fall 2012)
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.

SPRING BREAK: Spring Break is from Saturday, March 9 through Sunday March 17. Note that the second exam is scheduled for the Friday before Spring Break, so do not make plans to leave town early.

FINAL EXAM: The Final Exam is scheduled for 6:00 - 7:50 p.m., Monday, May 6, 2013. 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 (scientific or graphing) are allowed on the final exam. Calculators as powerful as TI89, TI92, or equivalent, calculators with communication abilities, as well as cell phone calculators are NOT allowed on the departmental 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.

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 these data.

Partial Derivative Handout
Student Information Sheet
Syllabus
Exam I Study Guide
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
How to Ace Calculus: the Streetwise Guide, from UC Davis
COW: Calculus on the Web, from Temple University -- problems with hints and answers available on-line.
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. (Here's an alternative site for 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.

CAAR 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 CAAR (Center for Access Ability Resources) 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.
While you're there, think, listen, and ask questions.

Last update: 4/30/13 (R. Blecksmith)