Math 1172: Calculus 2. (Instructor: Sergei Chmutov)

Autumn 2021. Tentative Daily Schedule

8/25 (Wed)
Review of integration. (Sec. 1)
8/27 (Fri)
Area Between Curves. (Sec. 2)
8/30 (Mon)
Cross-sections.(Sec. 3).
9/01 (Wed)
Solids of revolution. (Sec. 4).
9/03 (Fri)
Length of curves. (Sec. 5).
9/06 (Mon)
NO CLASSES. Labor Day.
9/08 (Wed)
Applications of integration. (Sec. 6).
9/10 (Fri)
Integration by parts. (Sec. 7).
9/13(Mon)
Trigonometric integrals. (Sec. 8)
9/15 (Wed)
Review for midterm 1.
9/17 (Fri)
Midterm #1.
9/20 (Mon)
Trigonometric substitution. (Sec. 9)
9/22 (Wed)
Partial fractions. (Sec. 10)
9/24 (Fri)
Improper integrals. (Sec. 11)
9/27 (Mon)
Sequences. (Sec. 12)
9/29 (Wed)
Sequences as functions. (Sec. 13)
10/01 (Fri)
Sums of sequences. (Sec. 14)
10/04 (Mon)
The divergence test. (Sec. 15)
10/06 (Wed)
Ratio test. (Sec. 16)
10/08 (Fri)
Approximating functions with polynomials. (Sec. 17).
10/11 (Mon)
Power series. (Sec. 18)
10/13 (Wed)
Introduction to Taylor series. (Sec. 19)
10/15 (Fri)
NO CLASSES. Autumn Break.
10/18 (Mon)
Numbers and Taylor series. (Sec. 20)
10/20 (Wed)
Review for midterm 2.
10/22 (Fri)
Midterm #2.
10/25 (Mon)
Calculus and Taylor series. (Sec. 21)
10/27 (Wed)
Parametric equations. (Sec. 22)
10/29 (Fri)
Introduction to polar coordinate. (Sec. 23)
11/01 (Mon)
Derivatives of polar functions. (Sec. 24)
11/03 (Wed)
Integrals of polar functions. (Sec. 25)
11/05 (Fri)
Working in two and three dimensions. Vectors and Dot products. (Sec. 26, 27, 28)
11/08 (Mon)
Cross products. (Sec. 29)
11/10 (Wed)
Lines and curves in space. (Sec. 30)
11/12 (Fri)
Calculus and vector-valued functions. (Sec. 31)
11/15 (Mon)
Motion and paths in space. (Sec. 32)
11/17 (Wed)
Review for midterm 3.
11/19 (Fri)
Midterm #3.
11/22 (Mon)
Normal vectors. Functions of several variables. (Sec. 33,34)
11/24 (Wed)
NO CLASSES. Thanksgiving.
11/26 (Fri)
NO CLASSES. Columbus Day observed.
11/29 (Mon)
Continuity of functions of several variables. (Sec. 35)
12/01 (We)
Partial derivatives and the gradient vector. (Sec. 36)
12/03 (Fri)
Tangent planes and differentiability. (Sec. 37)
12/06 (Mon)
The directional derivative and the chain rule. (Sec. 38)
12/08 (We)
Review for the final.
12/10 (Fri)
12/13 (Mon)
12/15 (We)
FINAL, 10:30 AM --- 12:15 PM