Calculus III Syllabus Fall 2008

Instructor: Dr. Ron Smith
Office: 321 Zimmermann
Phone: Office 784-5283
Phone: Home 784-6473

Office hours:

MWF 1-2:30 and TTh 9:30-12. For a 20 minute appointment, just sign up on the sheet outside my office door or call me. You do not need to sign up in advance, but if you will please sign when you come, the time will be reserved for you. Also, if someone is in the office and you are signed up, please make your presence known!


The required text is Essential Calculus, Early Transcendentals, by James Stewart. Each student is required to have a graphing calculator, and to become proficient at its use. I will be using a TI 83 in class and highly recommend it to students. Graceland has purchased a University license for Mathematica, which is a powerful symbolic and numerical computer program. Under this license, every machine on campus and every student can have a legal copy. You are encouraged to take advantage of this or any other software available to you.


The calculus content of the course includes conic sections, polar coordinates, indeterminant forms, improper integrals, sequences, and series.

Expecations for the student:

A calculus student will ...
  1. Schedule at least 1 to 2 hours outside of class each day for studying calculus.
  2. Read each section and work each example with paper and pencil.
  3. Look at problems besides those assigned to discover why the author asked the question.
  4. Prepare homework to hand in before class starts, including putting the name, class, homework number, and date on the outside.
  5. Come to class on time every day and stay the entire period,
  6. Have paper and pencil out on the desk at the beginning of class ready to work.
  7. Sit beside a partner with whom you will discuss calculus during class.
  8. Turn off electronic communication during class.
  9. Rest and eat before or after, but not during, class.
  10. Check all homework answers with the book and others, but write them up without copying.

Expectations of the Professor:

I will do my best to ...
  1. Start and end class on time, or within 3 minutes of the scheduled time.
  2. Be prepared for class every day.
  3. Grade and return homework and exams within 2 class days.
  4. Treat every student with respect.
  5. Learn each student's name.
  6. Answer every question in a respectful, truthful manner.
  7. Post homework assignments with clear due dates.
  8. Be available in my office during office hours, and give priority to anyone signed up.
  9. Grade all exams myself, completely, equitably, and clearly. Daily homework may be graded by an assistant. Not every homework problem turned in will be graded.
  10. Make every minute of every class a learning experience.


You will need 87.5% for an A, 75% for a B, 62.5% for a C, and 50% for a D. Grades will be based on homework, exams, and extra credit. Your final grade is the percentage of the total possible.
  • 1. Homework (~280) Approximately 16 homework assignments will be given at 20 points each. The lowest 2 homework scores will be discarded. Homework assignments will typically be due at the beginning of the next class day after we have discussed the appropriate section. Late homework will result in 10% reduction of the score, and will be accepted up to one week after it is due, or on the last day of class, whichever comes first. Papers will be returned in the labeled rack beside my office door. After two weeks, unclaimed papers may be discarded.
  • Exams (400) Three midterm exams and a final (@100)
  • Extra Credit (up to 50 points): Extra credit points will be added to your total before the percentage is figured. Extra credit may be given for successful participation in the weekly math contest (5), math club (5), math contest team (20), quizzes (as announced), etc.


    If I bring food to the classroom, I will bring enough for everyone. I expect the same courtesy from students. Please do not eat personal snacks/meals in the classroom. If you have a medical condition requiring food, please make arrangements with me.


    Cell phones, pagers, or other electronic devices intended to facilitate communication between students must not be used during lectures or exams.


    Incompletes for the course require signing a contract for making up work, and must be initiated by the student.

    Academic Integrity:

    Honesty is a prerequisite for being a competent person. If you copy solutions to problems from any source, you are required to acknowledge the source. This includes copying from friends or old homework/test files. Working together for inspiration and asking for hints is allowed on everything but exams. However, writeups must be your own. For more on this subject, see the college policy printed in the handbook.


    Any student who, because of a disabling condition, may require special arrangements in order to meet course requirements should contact the instructor as soon as possible to make necessary accommodations.

    Tentative Course Outline

    29/5/08Integration Review
    39/8/083.7 L'Hopital's Rule
    49/10/086.6 Improper Integrals
    59/12/086.6 Detecting Convergence, Estimating Limits
    69/15/086.6 Con't
    79/17/088.1 Sequences
    89/19/088.1 Properties of Sequences and Limits
    99/22/088.1 Bounded and Monotonic sequences
    119/26/08Exam 1. Imp int, L'Hopital's Rule, Sequences
    129/29/088.2 Infinite Series, Convergence and Divergence
    1310/1/088.2 Geometric Series
    1410/3/088.2 Con't
    1510/6/088.3 Integral test
    1610/8/088.3Comparison tests
    1710/10/088.3 Con't
    1810/13/088.4 Absolute Convergence, Alternating series
    1910/15/088.4 Ratio and Root tests
    2010/17/088.4 Con't
    2110/22/088.5 Power Series
    2210/24/088.6 Power Series as functions
    2310/27/088.7 Taylor and Maclaurin Series
    2410/29/088.7 The Binomial Series
    2510/31/088.8 Applications of Taylor Series
    2611/3/088.8 Con't
    2811/7/08Exam 2. Infinite Series
    2911/10/089.1 Parametric Curves
    3011/12/089.1 Con't
    3111/14/089.2 Calculus with Parametric Curves
    3211/17/089.3 Polar Coordinates
    3311/19/089.3 Con't
    3411/21/089.4 Areas in Polar Coordinates
    3511/24/089.4 Lengths in Polar Coordinates
    3612/1/089.5 Conic Sections in Polar Coordinates
    3712/3/089.5 Con't
    3912/8/08Exam 3. Parametric Curves, Polar Coordinates
    12/16/088:00 Final Exam

    Guidelines for Written Papers.

    1. Be neat!
      • Use 8.5 x 11 loose leaf paper, one side only.
      • Use pencil or a computer.
      • Working problems on scratch paper first and recopying is a good strategy for catching mistakes as well as for being neat.
    2. Fold papers together lengthwise to hand them in. Do not staple or tear, etc. The blank side of the paper is to be out. (See illustration below.)
    3. On the outside at the top, provide the following information as shown in the illustration.
      1. Name
      2. Class (Calc III)
      3. Homework Number
      4. Date that you turn it in
    4. Clearly mark the section and number of each problem from the book.
    5. Include enough information on each problem so that the reader will know, without refering to the book, (a) what the book asked for, and (b) your response.
    6. Respect the equal sign "=". Use this sign only when you mean that the expression on one side can be substituted into any statement containing the expression on the other side without changing the truth value of the statement.
    7. Avoid "Type" errors. Use the equal sign "=" to connect two expressions only when they stand for the same type of expression, e.g. two numbers, two functions, or two sets. Use implies "=>" to connect two statements when the truth of the first guarantees the truth of the second. Sometimes, you will need to use an explanatory phrase such as "Therefore", "Now we can see", or "From equations (1) and (2)... in order to express the relationship between two statements.
    8. Write using complete sentences whenever possible.

    Last Update: September 1, 2008
    Ronald K. Smith
    Graceland University
    Lamoni, IA 50140