
Instructor: Anatolii Grinshpan
Office hours: MF 12 & W 23, Korman 247, or by appointment, Korman
253
Syllabus Homework Root page Academic calendar Math resource center Greg Naber’s notes
Jan 9. Introduction to the course. The method of exhaustion: area of the disk.
Reading: 5.1
Jan 10. Antiderivative. Indefinite integral. Exercise 1.
Jan 11. Substitution in indefinite integral.
Jan 12. Quiz 1 (5.1, 5.2). Examples.
Jan 16. MLK day.
Jan 17. Approximation of area. Left endpoint, right endpoint, and midpoint sums.
Jan 18. Approximation of area.
Jan 19. Quiz 2 (5.3, 5.4). Sigmanotation. An example. Exercise 2. Exercise 3.
Jan 23. Definite integrals via geometry. Exercise 4 . Exercise 5. Exercise 6.
Jan 24. The Fundamental Theorem of Calculus. NewtonLeibniz vs Riemann.
Jan 25. Examples.
Jan 26. Quiz 3 (5.5, 5.6). Substitution in a definite integral.
Jan 30. Substitution in a definite integral. Exercise 7. Hyperbolic functions.
Jan 31. Discussion. Old midterms: S08 (answers), W09 (answers), W10 (answers), W11 (answers).
Feb 1. Midterm 1: 88:50 AM, Randell 327.
(answers) Cavalieri’s principle. Area between curves.
Feb
2. Volumes by slicing. Quiz 4 (6.1,
6.2): takehome, due Monday.
Feb 6. Volume of revolution. Exercise 8. Minimization of volume.
Feb 7. Arc length integrals. Exercise 9. The arc length of a parabola.
Feb 8. Examples. Integration by parts. Exercise 10.
Feb 9. Quiz 5 (6.2, 6.4). Integration by parts.
Feb 13. Integration by parts.
Feb 14. Examples. Complementing areas.
Feb 15. Examples. Partial fractions.
Feb 16. Quiz 6 (7.2). Partial fractions. Examples. A variant of use.
Feb 20. Improper integrals. Example.
Feb 21. Improper integrals.
Feb 22. Differential equations.
Feb 23. Quiz 7 (7.5, 7.8). Separation of variables.
Feb 27. Separation of variables.
Feb 28. Discussion. Old midterms: W10 2 (answers) & 3 (answers), W11 2 (answers) & 3 (answers).
Feb 29. Midterm
2: 88:50 AM, Randell 327 (answers).
Trigonometric integrals.
Mar
1. Trigonometric
integrals. Quiz 8 (7.3, 7.4): takehome, due Monday Tuesday. (answers)
Mar 5. Trigonometric substitutions.
Mar 6.
Parametric curves: tangent lines and arc length.
Mar 7.
Polar curves.
Mar 8. Polar
curves. Quiz 9 (10.1, 10.2): takehome, due Monday. (answers)
Mar 12. Arc length and area in polar coordinates. Cardioid.
Example.
Mar 13. Examples. Squaring a crescent.
Mar 14. Exponential model.
Mar 15.
Quiz 10 (10.3) (answer)
Mar 16. Integration
Bee: 45 PM, Korman 245
Mar 19. Old exams: W09 (answers), W10 (answers), W11(answers)
(Outcomes
list) (Formulas
to be provided)
Mar 22. Final Exam, 810 AM, Nesbitt 111. (answers)