
Instructor: Anatolii Grinshpan
Office hours: MTW 56, Korman 247, or by appointment, Korman
253.
Syllabus Root page Wiley + Math resource center Greg Naber’s notes Academic calendar
Sept 20. Introduction to the course. Functions: domain and range.
Sept 21. Examples. Operations on functions.
Sept 22. Composition. Transformations of graphs.
Sept 23. Quiz 1 (0.1, 0.2). Transformations of graphs (alternative look).
Reading assignment: Appendix B (+ problems on page A23).
Sept 27. The inverse of a function. Arcsine, arccosine, and arctangent.
Sept 28. Examples. Exponential functions.
Sept 29. Logarithmic functions.
Sept 30. Quiz 2 (0.4, 0.5). Limits.
Oct 4. Evaluation of limits.
Oct 5. Review guide. Practice tests: F08 (answers), F09 (answers).
Oct 6. Exam 1: 8 A.M., CAT 61. (answers)
Regular class: limits at infinity.
Oct 7. Limits at infinity. Continuity at a point.
Quiz 3: takehome, due October 12. (answers)
Oct 11. No class (Columbus day).
Oct 12. Continuity of a function. Intermediate Value Theorem.
Oct 13. Limit of composition. Squeezing Theorem. Trigonometric limits.
Oct 14. Quiz 4 (1.5, 1.6). (answers)
Oct 18. The derivative. Tangent line.
Oct 19. Review guide. Practice tests: F08 (answers), F09 (answers).
Oct 20. Exam 2: 8 A.M., CAT 61. (answers)
Regular class: rules of differentiation.
Oct 21. Rules of differentiation. Examples.
Quiz 5: takehome, due October 25. (answers)
Oct 25. Derivatives of trigonometric functions.
Oct 26. Chain rule.
Oct 27. Chain rule. Implicit differentiation.
Oct 28. Quiz 6 (2.5, 2.6) (answers). Derivative of the logarithm.
Nov 1. Logarithmic differentiation.
Nov 2. Review guide. Practice test: F09 (answers).
Nov 3. Exam 3: 8 A.M., CAT 61. (answers)
Regular class: derivatives of exponential functions.
Nov 4. Derivatives of inverse functions.
Quiz 7: takehome, due November 8. (answers)
Nov 8. Local linear approximation. Differentials.
Nov 9. Related rates.
Nov 10. Related rates.
Nov 11. Quiz 8 (3.4, 3.5). (answers)
Nov 15. Analysis of functions: critical points, local extrema.
Nov 16. Graphing polynomials.
Nov 17. Graphing rational functions.
Nov 18. Quiz 9 (3.6, 4.1, 4.2). (answers)
Nov 22. Types of asymptotes. Vertical tangents and cusps.
Nov 23. Examples: analysis of functions, absolute max and min.
Nov 29. Absolute extremum. Optimization.
Nov 30. Quiz 10: takehome, due December 1. (answers)
Review guide. Old Finals: F06, F08, F09 (answers).
Dec 1. Review.
Dec 2. Review.
Dec 6. Final Exam: 810 AM, Nesbitt 111. (answers)