M--R 12-12:50, 311 Matheson, and 2-2:50, 301 Main.
Instructor: Anatolii Grinshpan
Office hours: M 4-6, W 4-5 Korman 247 or by appointment.
Week 1. Course overview. Antiderivative. Indefinite integral by substitution.
Week 2. Riemann sums. Area as a limit. Definite integral.
Week 3. The Fundamental Theorem of Calculus. Substitution in a definite integral.
Jan. 28. Test 1: 8-8:50 AM, Disque 108. Test answers.
Area between two curves. Calculation of volumes (disks and washers).
Week 5. Areas and volumes. Work.
Week 6. Integration by parts. Partial fractions.
Week 7. Partial fractions. Differential equations.
Integrating factor. Separation of variables.
Feb 25. Test 3: 8-8:50 AM, Disque 108.
Trigonometric Integrals. Examples: trig. integrals via partial fractions.
Week 9. Trigonometric integrals. Improper integrals.
Week 10. Polar vs Cartesian. Parametric curves. Arc length and area in polar coordinates.