Math 121 – Differential Calculus, Fall 2014

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Instructor: Anatolii Grinshpan

Office hours:  Tu 10-12 & Fr 10-11, Korman 249, or by appointment, Korman 253.

Syllabus    Root page    Homework    Webwork    Calendar    Tutoring center    Greg Naber 

Sep 22.  Introduction to the course. One-sided limits. Problems.

Sep 23.  Evaluation of limits. Problems.

Sep 24.  Limit rules. Examples. Limits at infinity.

Sep 26.  Quiz 1: 1.1, 1.2. Limits at infinity. Problems.

 

Sep 29.  Continuity at a point. Problems.

Sep 30.  Squeezing property. Using continuity to locate roots.

Oct   1.  Limits involving trigonometry. Problems.

Oct   3.  Quiz 2: 1.3, 1.5. Handout on limits.

 

Oct   6.  Average velocity and instantaneous velocity. Problems.

Oct   7.  No class (convocation).

Oct   8.  Derivatives. Problems.

Oct  10.  Quiz 3: 1.6, 2.1, 2.2.

 

Oct  13. No class (Columbus day).

Oct  14. Techniques of differentiation. Problems.

Oct  15. Techniques of differentiation.

Oct  17. Quiz 4: 2.3, 2.4.

 

Oct  20. Midterm 1.  Derivatives of trig. functions. Problems.

Oct  21. Chain rule. Problems.

Oct  22. Implicit differentiation. Problems.

Oct  24. Quiz 5: 2.5, 2.6.

 

Oct  27. Derivatives of exp(x) and ln(x). Problems. Problems.

Oct  28. Logarithmic differentiation.

Oct  29. Derivative of the inverse function. Example.

Oct  31. Quiz 6: 3.1, 3.2, 3.3.

 

Nov  3.  Related rates. Problems.

Nov  4.  Related rates.

Nov  5.  Linear approximation. Problems.

Nov  7.  Quiz 7: 3.4, 3.5. Extra credit.

 

Nov 10. Bernoulli’s (l’Hôpital’s) rule. Problems.

Nov 11. Evaluation of indeterminacies.

Nov 12. Practice test.

Nov 14. Quiz 8: 3.6. Extra credit.

 

Nov 17. Midterm 2. Intervals of monotonicity and concavity.

Nov 18. Classification of critical points. Problems.

Nov 19. Graphing a function.

Nov 21. Quiz 9: 4.1, 4.2.

 

Nov 24.  Curvilinear asymptotes. Problems.

Nov 25.  Cusps and vertical tangent lines.

Nov 26. Thanksgiving break.

Nov 28. Thanksgiving break.

 

Dec  1.  Points of absolute extremum. Problems.

Dec  2.  Optimization. Problems.

Dec  3.  Optimization.

Dec  5.  Quiz 10: 4.4, 4.5.

 

Dec   9. Office hours Noon-2 (Korman 249)

Dec 10. Final Exam, 3:30-5:30 PM.