Spring 2022, Stonybrook, Undergraduate Level.
Class Meetings: Tuesday and Thursday 4:45 pm - 6:05 pm, Earth & Space 001.
Instructor: Donghao Wang
Email: donghao.wang233333@stonybrook.edu (remove all numbers)
Office Hours: Thursday 2: 00 pm - 3: 00 pm at SCGP Room 310
Friday 1: 00 pm - 2: 00 pm at Math Learning Center
Friday 4: 00 pm - 5: 00 pm at SCGP Room 310
also by appointments
Textbook: Openstax Calculus Volume 2. We will cover most of Chapter 1 -3 and 7. Chapter 4 - 6 will be omitted.
Lecture Notes and Suggested Readings:
Tu 1/25 (Review of Derivatives I)(Notes) Derivatives I (Review) and Antiderivatives. Section 3.1 and Section 4.10 Volume 1.
Th 1/27 (Before class) (Notes) Derivatives II (Review), Graphs and Areas. Section 4.3, 4.5 of Volume 1 and the beginning of Section 1.1.
Tu 2/1 (Before class)(Notes) Section 1.1 & 1.4 Approximating Area.
Th 2/3 (Before class)(Notes) Section 1.2 & 1.4 Definite Integrals and Signed Area.
Tu 2/8 (Before class)(Notes) Section 1.2 Properties of Definite Integrals.
Th 2/10 (Before class)(Notes) Section 1.3 Fundamental Theorem of Calculus, Part 2.
Tu 2/15 (Before class)(Notes) Section 1.3 Fundamental Theorem of Calculus, Part 1.
Th 2.17 (Before class)(Notes) Section 1.5 Substitution.
Tu 2/22 (Before class)(Notes) Section 1.6 & 1.7 Antiderivatives that result in Inverse Trig Functions.
** The First Midterm: Tu 2/22 8:15 to 9:35 pm (Solution)
Th 2/24 (Before Class)(Notes) Section 3.1 Integration by Parts.
Tu 3/1 (Before Class)(Notes) Section 3.1 Integration by Parts Continued.
Th 3/3 (Before Class)(Notes) Section 2.1 Areas between Curves.
Tu 3/8 (Before Class)(Notes) Section 2.2 Volumes by Slicing.
Th 3/10 (Before Class)(Notes) Section 2.3 Volumes of Revolution. Animation: Spheres, Hourglasses, Washers, Shells.
** Tu 3/15 (Spring Break!)
** Th 3/17 (Spring Break!)
Tu 3/22 (Before Class)(Notes) Section 2.4 The Arc Length of Curves. Animation: Curves.
Tu 3/24 (Before Class)(Notes) Section 2.4 & 2.5 The Surface Area, Mass and Density.
Th 3/29 (Before Class)(Notes) Section 2.5 Work and Forces.
Tu 3/31 (Before Class)(Notes) Section 2.9 Hyperbolic Functions.
Tu 4/5 (Before Class)(Notes) Section 3.2 Trig Integrals.
** The Second Midterm: Tu 4/5 8:15 to 9:35 pm (Solution)
Th 4/7 (Before Class)(Notes) Section 3.3 Trig Substitution.
Tu 4/12 (Before Class)(Notes) Section 3.3 Trig Substitution Continued.
Th 4/14 (Before Class)(Notes) Section 3.4 Partial Fractions.
Tu 4/19 (Before Class)(Notes) Section 3.6 Numerical Integration.
Th 4/21 (Before Class)(Notes) Section 3.7 Improper Integrals. Animation: Integral-I, Integral-II.
Tu 4/26 (Before Class)(Notes) Section 7.1 Parametric Equations. Animation: Cycloids, Ellipses.
Th 4/28 (Before Class)(Notes) Section 7.2 Calculus of Parametric Curves.
Tu 5/3 (Before Class)(Notes) Section 7.3 Polar Coordinates (Polar Grids)
Th 5/5 (Before Class)(Notes) Section 7.3 Polar Coordinates and Review.
** Final: Wed 5/11 8:00 to 10:45 am