
Instructor: Anatolii Grinshpan
Office hours: W 34, Korman 247, or MTR 35 walk in, Korman
253.
Syllabus Homework Root page Math resource center Greg Naber’s notes Academic calendar
Sep 19. Introduction to the course.
Sep 20. Functions: domain and range. Examples.
Sep 21. Quiz 1 (0.1). Operations on functions.
Sep 22. Composition and its domain.
Reading assignment: Appendix B ( + problems ).
Sep 26. Examples on trigonometry.
Sep 27. The inverse function. Inverse trigonometric functions.
Sep 28. Exponentials and logarithms.
Sep 29. Quiz 2 (0.2, Appendix B, 0.4).
Oct 3. Limits.
Oct 4. Examples and questions. Old exams: F08 (answers), F10 (answers). MC sample.
Oct 5. Midterm 1: 88:50 AM, Nesbitt
125. Regular class: Evaluation of limits.
Oct 6. Quiz 3 (takehome, due Tuesday). Local analysis. Limits at infinity.
Oct 10. No class (Columbus Day).
Oct 11. Continuity at a point.
Oct 12. Facts and examples on continuity.
Oct 13. Quiz 4 (1.5, 1.6). Trigonometric limits.
Oct 17. Tangent line and rate of change.
Oct 18. Examples and questions. Old exams: F08 (answers), F09 (answers). MC sample.
Oct 19. Midterm 2: 88:50 AM, Nesbitt 125. Regular class: the derivative.
Oct 20. Quiz 5 (takehome, due Monday). Rules of differentiation.
Oct 24. Rules of differentiation. Derivatives of trigonometric functions.
Oct 25. The chain rule.
Oct 26. Implicit differentiation.
Oct 27. Quiz 6 (2.3, 2.4, 2.5, 2.6).
Oct 31. Practice.
Nov 1. Example from class. Old exams: F08 , F09 (answers), F10 (answers) .
Nov 2. Midterm 3: 88:50 AM, Nesbitt 125. Regular class: the derivative of a logarithm.
Nov 3. Logarithmic differentiation. The derivative of an exponential.
The derivative of the inverse function. Quiz 7 (takehome, due Monday
Tuesday).
Nov 7. The derivative of arcsin, arccos, and arctan. Related rates.
Nov 8. Related rates.
Nov 9. Local linear approximation. Differentials.
Nov 10. Quiz 8 (3.4).
Nov 14. Relative error. l’Hôpital’s rule.
Nov 15. Evaluation of indeterminacies.
Nov 16. Analysis of functions: critical points, local extrema.
Nov 17. Quiz 9 (3.5, 3.6)
Nov 21. Analysis of functions: asymptotes, concavity,
inflections.
Nov 22. Analysis of functions: examples. Quiz 10 (takehome, due Monday).
Nov 28. Cusps and vertical tangents. Absolute extremum.
Nov 29. Optimization.
Nov 30. Examples on optimization.
Dec 1.
Quiz 11 (4.4, 4.5).
Old Finals: F06, F08, F09
(answers), F10
(answers).
Dec 5 and Dec 6: office hours (afternoon, walk in).
Dec 7. Final:
810 AM, Main Auditorium.
(answers)