| Course Description: |
The first in the sequence of calculus courses for science and math majors. Starts with the basic concepts of functions and limits. Topics covered include: derivatives and their applications, definite and indefinite integrals with applications to geometric and physical problems, and discussion of algebraic and transcendental functions. |
| Syllabus: |
Syllabus (PDF file) |
| Schedule: |
Tu 10:25am - 12:15pm
Th 10:25am - 12:15pm
in M-01-428 |
| Text(s): |
Single Variable Calculus. 7th edition. By James Stewart. Cengage 2012. ISBN: 978-0-538-49783-1.
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| Help: |
Office hours: By appointment:
TuTh 9:50am - 10:20am and 4:00pm - 4:30pm
in S-03-091.
Please follow this link
to schedule a 10 or 20 minute appointment, at least 2 hours in advance. You can stop by my office without a confirmed appointment, but I may be unavailable.
Piazza: Instead of sending questions by email, please use the discussion boards available at piazza.com to post questions and provide answers. |
| Assignments: |
Exams: in class, October 10 and November 14
Final Exam: TBA
Quizzes: in class, almost every Thursday
Homework: online, using WeBWorK
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| Important dates: |
Tue, Sep 12 - Add/drop period ends
Tue, Oct 10 - Exam #1
Tue, Nov 14 - Exam #2
Wed, Nov 22 - Pass/Fail Withdrawal deadline
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| Useful links: |
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Schedule:
| Tue, Sep 5 |
Introduction. . Functions. |
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| Thu, Sep 7 |
Catalog of functions. Operations with functions. |
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| Tue, Sep 12 |
Tangents and velocity. |
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| Thu, Sep 14 |
Limit of a function. Limit laws. Quiz #1. |
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| Tue, Sep 19 |
Continuity. |
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| Thu, Sep 21 |
Derivatives and rates of change. The derivative as a function. Quiz #2. |
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| Tue, Sep 26 |
Differentiation formulas. |
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| Thu, Sep 28 |
Derivatives of trig functions. Chain rule. Quiz #3. |
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| Tue, Oct 3 |
Derivatives of exponentials. |
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| Thu, Oct 5 |
Derivatives of inverse functions. Derivatives of logarithmic functions . Quiz #4. |
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| Tue, Oct 10 |
Review.. Exam #1. |
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| Thu, Oct 12 |
Implicit differentiation. |
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| Tue, Oct 17 |
Rates of change in physical and social sciences. |
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| Thu, Oct 19 |
Related rates. Linear approximation and differentials. Quiz #5. |
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| Tue, Oct 24 |
Newton's method. |
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| Thu, Oct 26 |
Maximum and minimum values. The Mean Value Theorem. Quiz #6. |
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| Tue, Oct 31 |
How derivatives affect the shape of a graph. |
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| Thu, Nov 2 |
Limits at infinity and horizontal asymptotes. Summary of curve sketching. Quiz #7. |
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| Tue, Nov 7 |
Optimization problems. |
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| Thu, Nov 9 |
Antiderivatives. Areas and distance. Quiz #8. |
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| Tue, Nov 14 |
Review. Exam #2. |
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| Thu, Nov 16 |
Definite integrals. |
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| Tue, Nov 21 |
. |
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| Tue, Nov 28 |
The Fundamental Theorem of Calculus. Indefinite integrals and the net change theorem. |
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| Thu, Nov 30 |
The substitution rule . Quiz #9. |
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| Tue, Dec 5 |
Area between curves. |
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| Thu, Dec 7 |
Volume of solids of revolution. Quiz #10. |
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| Tue, Dec 12 |
Review. |
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