Center for University Studies and Programs 124:
Calculus I
Winter 2007
Develops modern calculus by investigating the questions, problems, and ideas that motivated its discovery and practice. Studies the real number system and functions defined on it, focusing on limits, area and tangent calculations, properties and applications of the derivative, and the notion of continuity. Emphasizes problem-solving and mathematical thinking.
I will place additional materials on library reserve, e-reserve or link to them via the web site.
While in class, I ask that you not engage in behavior that may be disruptive or distracting to your colleagues. In particular, if you plan to use a computer during class, please sit at the rear of the class. In my opinion, computers are not the best way to take notes. Here is my suggested three-step method for note-taking:
Both the midterm and the final are equally weighted. The homeworks are not; each homework’s contribution to your homework average will depend on the number of points in that homework. Laboratory reports (either individual or group) will be graded pass/fail. You will receive credit for all quizzes that you complete (in other words, I won’t give credit for blank sheets of paper).
Your course average will be computed as: 25% homework + 25% midterm + 25% final + 15% labs + 10% quizzes.
I don’t grade on a curve. I compute everyone’s quarter average based on the formula above. I then use my judgment to determine what averages correspond to an ‘A’, ‘B’, etc. for the quarter. Some quarters’ assignments, etc. turn out harder, and so the averages are lower. Other quarters, averages are higher. I use my judgment to adjust for that at the end. Decimal grades are then computed using the equivalences in the UW Catalog, linearly interpolating between letter-grade boundaries. Furthermore, I am well aware of the significance of assigning a grade below 2.0, in terms of impact on your career here at UWB. I can assure you that I examine in detail the performance in this course of each student before assigning a grade below 2.0.
What is the difference between this and grading on a curve? With the latter, the goal is to have X% ‘A’s, Y % ‘B’s, etc. My way, I would be happy to give out all ‘A’s (if they were earned). A shorthand summary of the qualitative meaning of letter grades is:
To ease homework grading and speed return of your work, please follow these homework preparation guidelines:
| Date | Topics | Readings | Assignments |
| 1/4 | Welcome; the real number system; functions | Stewart, § 1.1 |
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| 1/5 | Lab 1: Working with functions | Stewart, § 1.2 |
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| 1/9 | Limits | Stewart, § 1.3 | HW 1 due |
| 1/11 | Calculating limits | Stewart, § 1.4 |
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| 1/12 | Lab 2: Take me to the limit |
| Podcast 1 due |
| 1/16 | Discontinuities and singularities | Stewart, § 1.5 | HW 2 due |
| 1/18 | Infinities | Stewart, § 1.6 |
|
| 1/19 | Lab 3: To infinity and beyond |
| Podcast 2 due |
| 1/23 | Early notions of the tangent | Edwards, pp. 122-127 | HW 3 due |
| 1/25 | Calculating tangents | Stewart § 2.1, pp. 73-76 |
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| 1/26 | Lab 4: Going off on a tangent |
| Podcast 3 due |
| 1/30 | The derivative: the difference quotient | Stewart, § 2.1 | HW 4 due |
| 2/1 | Change and the derivative | Stewart, § 2.2 |
|
| 2/2 | Lab 5: Approximation by finite differences |
| Podcast 4 due |
| 2/6 | Midterm review |
| HW 5 due |
| 2/8 | Midterm |
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| 2/9 | Lab 6: Archimedes and the birth of calculus? |
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| 2/13 | Properties of the derivative | Stewart, § 2.3, 2.4 |
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| 2/15 | The chain rule | Stewart, § 2.5 |
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| 2/16 | Lab 7: Working on the chain gang |
| Podcast 5 due |
| 2/20 | Applications I: related rates and linear approximation | Stewart, § 2.7, 2.8 | HW 6 due |
| 2/22 | Derivatives of special functions: exponentials and logarithms | Stewart, § 3.1, 3.2 |
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| 2/23 | Lab 8: Real world project I |
| Podcast 6 due |
| 2/27 | Exponentials and logarithms, cont’d | Stewart, § 3.2, 3.3 | HW 7 due |
| 3/1 | Applications II: Exponential growth & decay; minima and maxima; optimization | Stewart, § 3.4, 4.1, 4.5 |
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| 3/2 | Lab 9: Real world project II |
| Podcast 7 due |
| 3/6 | Applications III: Derivatives and graphs | Stewart, § 4.3, 4.4 | HW 8 due |
| 3/8 | Applications, cont’d |
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| 3/9 | Lab 10: Putting it all together |
| Podcast 8 due |
| 3/13 | Final Exam |
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Last modified: December 27, 2006