Math 212 Multivariable Calculus
Fall 2024
Fall 2024
Lecture: 9:00 am – 9:50 am
Location: Herman Brown Hall 427.
Office Hours: Wednesday and Friday, 1:30 pm – 2:30 pm, Herman Brown Hall B36 or by appointment.
Course syllabus: syllabus
Course Calendar, Notes, and Written Assignments:
Monday, 08/26 - Introduction (§12.1). Notes
HW 1 (Due Fri Aug 30)
Wednesday, 08/28 - Vectors (§12.2) and the dot product (§12.3). Notes
Friday, 08/30 - Cross product (§12.4). Notes
Wednesday, 09/04 - Equations for planes (§12.5). Notes
HW 2 (Due Sat Sep 7)
HW 3 (Due Fri Sep 13)
Wednesday, 09/11 - Introduction to space curves (§13.1). Notes
Friday, 09/13 - Derivatives and integrals of vector functions (§13.2). Notes
Monday, 09/16 - Functions of several variables (§14.1). Notes
HW 4 (Due Sat Sep 21)
Wednesday, 09/18 - Limits (§14.2). Notes
Friday, 09/20 - Partial derivatives (§14.3). Notes
Monday, 09/23 - Higher derivatives and tangent planes (§14.3-14.4) Notes
HW 5 (Due Sat Sep 28)
Wednesday, 09/25 - Tangent planes and linear approximation (§14.4) Notes
Friday, 09/27 - Chain rule (§14.5) Notes
Monday, 09/30 - Directional derivatives, gradients (§14.6) Notes
Wednesday, 10/02 - Review for midterm 1 Notes and review problems
Thursday, 10/03 - Midterm 1
Friday, 10/04 - Maxima and minima (§14.7) Notes
Monday, 10/07 - Second derivative test (§14.7) Notes
HW 6 (Due Fri Oct 11)
Wednesday, 10/09 - Optimization with constraints (§14.8) Notes
Friday, 10/11 - Double and iterated integrals (§15.1) Notes
Wednesday, 10/16 - Double integrals over rectangles (§15.1) Notes
HW 7 (Due Sun Oct 20)
Friday, 10/18 - Double integrals over more general regions (§15.2) Notes
Monday, 10/21 - Integration in polar coordinates (§15.3) Notes
HW 8 (Due Fri Oct 25)
Wednesday, 10/23 - Triple integrals (§15.6) Notes
Friday, 10/25 - Triple integrals in cylindrical coordinates (§15.7) Notes
Monday, 10/28 - Triple integrals in spherical coordinates (§15.8) Notes
HW 9 (Due Sun Nov 3)
Wednesday, 10/30 - Change of variables (§15.9) Notes
Friday, 11/01 - Vector fields (§16.1) Notes
Monday, 11/04 - Line integrals (§16.2) Notes
Wednesday, 11/06 - Review for midterm 2 Notes and review problems
Thursday, 11/07 - Midterm 2
Friday, 11/08 - Fundamental theorem of line integrals (§16.3) Notes
Monday, 11/11 - Green's theorem (§16.4) Notes
HW 10 (Due Fri Nov 15)
Wednesday, 11/13 - Proof and applications of Green's theorem (§16.4) Notes
Friday, 11/15 - Curl and divergence (§16.5) Notes
Monday, 11/18 - Parametrized surfaces (§16.6) Notes
HW 11 (Due Fri Nov 22)
Wednesday, 11/20 - Integrals over surfaces (§16.7) Notes
Friday, 11/22 - Integration of a vector field over a surface (§16.7) Notes
Monday, 11/25 - Stokes' theorem (§16.8) Notes
HW 12 (Due Mon Dec 2)
Monday, 12/02 - Proof of Stokes' theorem and the divergence theorem (§16.8-16.9)
HW 13 (Due Fri Dec 6)
Wednesday, 12/04 - The divergence theorem Notes
Friday, 12/06 - Summary Notes
Friday, 12/13 - Review for the final Notes
Monday, 12/16 - Final exam