Calculus - I
MATH 2144-008      Fall 2009

Course Syllabus: [pdf]    Syllabus Attachment, Fall 2009

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Exam dates:
     1st Midterm: September 16. Practice Question Paper
     2nd Midterm: October 26. Practice Question Paper
     3rd Midterm: November 23. Practice Question Paper
     Final Exam : December 7, 10:00-11:50 a.m.

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Homework and WebAssign:
WebAssign is our online homework system.   Click here to go to WebAssign
For a webassign self-enrollment guide click here.
For some tips on using webassign click here.

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Weekly Syllabus:
After each topic there is a list of problems from the textbook and these are meant to be practice problems.
The homework, large parts of the midterm exams, and parts of the final exam will be based on these problems.

1. (Week of Aug 17)
        Aug 17: Distribute Syllabus; general introduction.
        Aug 19: Functions. (Section 1.1: 23, 24, 27--30, 39--41, 65--68; Section 1.2: 1--4, 8, 9.)
        Aug 20: New functions from old (Section 1.3: 1--4, 29--36, 41--46.) Exponential functions (Section 1.5: 15--20.)
        Aug 21: Inverse Functions and Logarithms. (Section 1.6: 3--14, 21--26, 33--39, 47--54, 59--64, 65--68.)

2. (Week of Aug 24)
        Aug 24: Continue with Inverse functions. The tangent and velocity problems (Section 2.1).
        Aug 26: The limit of a function. (Section 2.2: 1--9, 12--16, 25--32.)
        Aug 27: Calculating Limits using limit laws. (Section 2.3: 1--30, 35--44, 46, 47, 48, 60.)
        Aug 28: Calculating limits, cotd.

3. (Week of Aug 31)
        Aug 31: Continuity. (Section 2.5: 3, 4, 8, 9--28, 31--34, 37--39, 41, 42, 47--50, 59, 60, 65.)
        Sep 2: Continuity, cotd.
        Sep 3: Limits at infinity. (Section 2.6: 3, 4, 15--36, 55.)
        Sep 4: Horizontal asymptotes. (Section 2.6: 39--44.)

4. (Week of Sep 7)
        Sep 7: Labor day.
        Sep 9: Derivatives. (Section 2.7: 1, 3, 4, 5--8, 10, 25--30, 31--36.)
        Sep 10: Rates of change. (Section 2.7: 13, 14, 37, 38.)
        Sep 11: Derivative as a function. (Section 2.8: 1, 2, 3, 4--11, 19--29, 35--38.)

5. (Week of Sep 14)
        Sep 14: Review for I-midterm exam.
        Sep 16: I-Midterm exam. (Based on Chapters 1 and 2.)
        Sep 17: Derivatives of Polynomials and exponential functions. (Section 3.1: 3--32, 33--36, 51--55.)
        Sep 18: The product and quotient rules. (Section 3.2: 3--26, 27--34, 43, 44.)

6. (Week of Sep 21)
        Sep 21: Derivatives of Trigonometric functions. (Section 3.3: 1--16, 21--2432--34, 39--48.)
        Sep 23: Chain Rule. (Section 3.4: 7--46, 47--54.)
        Sep 25: Chain rule, cotd.
        Sep 26: "Sort of pop-quiz".

7. (Week of Sep 28)
        Sep 28: Implicit Differentiation (Sec 3.5: 5--20, 25--30, 33--36, 45--54.)
        Sep 30: Implicit diff., cotd.
        Oct 1: Class cancelled because of the High School Math Contest.
        Oct 2: Derivatives of logarithmic functions. (Sec 3.6: 2--34, 37--48.)

8. (Week of Oct 5)
        Oct 5: Exponential growth and decay. (Section 3.8: 2, 3, 4, 8, 9, 10, 14, 15.)
        Oct 7: Related rates. (Section 3.9: 1--20.)
        Oct 8: Related rates, cotd.
        Oct 9: Enjoy fall Break!

9. (Week of Oct 12)
        Oct 12: Maximum and minimum problems. (Section 4.1: 3--6, 15--28, 29--44, 47--62.)
        Oct 14: Max/min cotd.
        Oct 15: The mean value theorem. (Section 4.2: 1--4, 11--14, 15--25, 32, 33.)
        Oct 16: Indeterminate forms and L'Hospital's rule. (Section 4.4: 1--64.)

10. (Week of Oct 19)
        Oct 19: L'Hospital, cotd.
        Oct 21: Shape of a graph. (Section 4.3)
        Oct 22: Curve sketching. (Section 4.5)
        Oct 23: Review for II-midterm exam.

11. (Week of Oct 26)
        Oct 26: II-Midterm exam.
        Oct 28: Optimization problems. (Section 4.7: 1--6, 16--19, 21--36.)
        Oct 29: Optimization, cotd.
        Oct 30: Return II-midtem exams.

12. (Week of Nov 2)
        Nov 2: Antiderivatives. (Section 4.9: 1--20, 23--46.)
        Nov 4: Areas and distances. (Section 5.1: 17--21.)
        Nov 5: The definite integral. (Section 5.2: 17--20, 21--25.)
        Nov 6: The dfinite integral, cotd. (Section 5.2: 33--40, 47--50.)

13. (Week of Nov 9)
        Nov 9: Fundamental theorem-I. (Section 5.3: 7--18, 53--56.)
        Nov 11: Fundamental theorem-II. (Section 5.3: 19--42.)
        Nov 12: Indefinite integrals. (Section 5.4: 5--18, 21--44.)
        Nov 13: Net change theorem. (Section 5.4: 57--62.)

14. (Week of Nov 16)
        Nov 16: Substitution rule. (Section 5.5: 7--46, 51--70, 81, 82.)
        Nov 18: Substitution rule, cotd.
        Nov 19: Areas between curves. (Section 6.1: 1--4, 5--28, 29--30.)
        Nov 20: Review for 3-midterm and filling out student evaluation forms.

15. (Week of Nov 23)
        Nov 23: III-Midterm exam.
        Nov 25: No classes.
        Nov 26: University holidays: Thanksgiving.
        Nov 27: University holidays: Thanksgiving.

16. (Week of Nov 30)
        Nov 30: Volumes. (Section 6.2: 1--18.)
        Dec 2: Volumes by cylindrical shells. (Section 6.3: 3-7, 9-14.)
        Dec 3: Self-review. (Review problems are on Webassign).
        Dec 4: Self-review. (Webassign.)
Note: The final exam will be based largely on these review problems on Webassign.