# Math 121 – Differential Calculus, Winter 2018

Instructor: Anatolii Grinshpan
Office hours: W 10-11 and R 10-12, Library Learning Terrace.

Jan  8.   Introduction to the course. The idea of a limit.

Jan  9.   One-sided approach. Calculation of limits. Example.

Jan 10.  Quiz 1: 1.1. Calculation of limits. Example.

Jan 11.   No class.

Jan 15.  MLK day.

Jan 16.  Calculation of limits. Worksheet.

Jan 17.  Limits at infinity. Worksheet. Problems. Question.

Jan 18.  Quiz 2: 1.2, 1.3Notes on limits, part 1.

Jan 22.  Continuity. Bolzano’s theorem. Problems.

Jan 23.  Points of discontinuity. Example. The function sin(x)/xWorksheet.

Jan 24.  Limits involving trigonometry. Worksheet. ProblemsNotes on limits, part 2.

Jan 25.  Quiz 3: 1.51.6. Difference quotients, rates, and slopes. Worksheet.

Jan 29.  The slope of the tangent line. Worksheet. Problems.

Jan 30.  The derivative function. Worksheet. Problems.

Jan 31.  Properties and rules of differentiation. Worksheet. Problems. Questions.

Feb  1.  Quiz 4: 2.2-2.4.

Feb  5.  Midterm 1: 8-850 AM (1.1-2.4,  1.4), Nesbitt 111 and 125.

Derivatives of trigonometric functions. Problems.

Feb  6.  Chain rule. Example. Problems.

Feb  7.  Chain rule and implicit differentiation.

Feb  8.  No class.

Feb 12. No class.

Feb 13. Quiz 5: 2.5, 2.6. Implicit equations.

Feb 14. Folium of Descartes. Worksheet. Example. The number e.

Feb 15. Quiz 6: 3.1. Derivatives of logarithmic functions. Problems.

Feb 19. Worksheet. Logarithmic differentiation. Example.

Feb 20. Derivatives of exponential functions. Problems.

Feb 21. Derivatives of inverse trigonometric functions. Worksheet. Derivative of the inverse.

Feb 22. Quiz 7: 3.2, 3.3. Related rates. Problems.

Feb 26. Related rates. Aircraft and observer

Feb 27. Local linear approximation. Worksheet. Problems.

Feb 28. Evaluation of indeterminacies. ExamplesWorksheet. Problems.

Mar  1. Quiz 8: 3.4, 3.5.

Mar  5.  Midterm 2: 8-850 AM (2.5-3.6), Nesbitt 111 and 125.

Analysis of functions: critical points. Worksheet. Problems.

Mar  6. Analysis of functions: points of local extremum, inflections. Worksheet. Problems.

Mar  7. No class.

Mar  8. Analysis of functions: examples.

Mar 12. Quiz 9: 4.1-4.3 (vertical tangents, cusps). Vertical tangents and cusps.

Mar 13. Points of absolute extremum. Problems.

Mar 14. Makeup exam. Optimization. Problems.

Mar 15. Quiz 10: 4.4, 4.5.

Mar 19. Questions session: 12-3 PM, CAT 268.

Mar 21. Office hours: 12-2 PM, Library Terrace.

Mar 22. Math Resource Center is scheduled to open at 10 AM.

Mar 22. Final exam: 1-3 PM, Nesbitt 111.