Date Chapter/Topics or Page/Problems M Aug 19 Lecture 1: Introduction to Introduction to Multivariable Calculus Review of Calculus I and II Space...and stuff in space Vectors and the dot product (12.1-3) approximate actual textbook coverage: 12.1 W 21 Lecture 2: Vectors and the dot product (12.1-3) approximate actual textbook coverage: 12.2 F 23 Calculus Review, Chapter 12 preskills M 26 Lecture 3: Vectors and the dot product (12.1-3) The cross product; lines and planes (12.4-5) approximate actual textbook coverage: 12.3-4 W 28 Lecture 4: The cross product; lines and planes (12.4-5) approximate actual textbook coverage: 12.4-5 F 29 Homework 1 and Chapter 13 preskills M Sept 2 Holiday (no class) W 4 Lecture 5: Quadric surfaces (12.6) approximate actual textbook coverage: 12.6 F 6 Homework 2 M 9 Lecture 6: Vector valued functions of one variable (curves) Motion: velocity and position (13.1-3) Diferentiation and integration (13.1-3) approximate actual textbook coverage: 13.1-3 W 11 Lecture 7: Arclength parameterization (13.1-3) Curvature and principal normal (13.4) approximate actual textbook coverage: 13.4 F 13 Homework 3 and Homework 4 M 16 Lecture 8: Review W 18 Exam 1 rework copy rework copy scores ironic scores F 20 Chapter 14 preskills M 23 Lecture 9: Functions of several variables (14.1-2) approximate actual textbook coverage: 14.1-2 W 25 Lecture 10: Partial derivatives and the chain rule (14.3-4) approximate actual textbook coverage: 14.3 F 27 Homework 5 M 30 Lecture 11: Directional derivatives and the gradient (14.5) approximate actual textbook coverage: 14.4 W Oct 2 Lecture 12: Linear approximation; differentials (14.6) approximate actual textbook coverage: 14.5 F 4 Homework 6 and Homework 7 M 7 Lecture 13: Optimization (14.7) W 9 Lecture 14: Optimization with constraints (14.8) F 11 Homework 8 M 14 Fall Break (no class) W 16 Lecture 15: Taylor's formula (14.9) Review F 18 Exam 2 rework copy scores M 21 Lecture 16: Double Integrals (15.1-2) approximate actual textbook coverage: 15.1 W 23 Lecture 17: Volumes and areas (15.3) F 25 Chapter 15 preskills M 28 Lecture 18: Polar coordinates (15.4) W 30 Lecture 19: Triple integrals (15.5) F Nov 1 Homework 9 M 4 Lecture 20: Applications to physical quantites Center of Mass (15.6) W 6 Lecture 21: Cylindical and spherical coordinates (15.7) F 8 Homework 10 M 11 Lecture 22: Substitutions (15.8) W 13 Lecture 23: Review F 15 Homework 11 M 18 Exam 3 scores W 20 Lecture 24: Motion on a surface F 22 Homeowork 12 M 25 Lecture 25: Integration on curves Integration on surfaces General scaling factors Motion on a curve W 27 Recess (no class) F 29 Holiday (no studio) M Dec 2 Lecture 26: Last lecture (Review) M 9 Final Exam 2:40-5:30 scores Monday December 9 Final Exam J Sections (2:40-5:30)