COURSE INFO
SCHEDULE
SYLLABUS
HOMEWORK
OFFICE HOURS
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Math 225
Calculus 3
Schedule
It is my goal to cover approximately one section per "new material" day (Three per week). We will be doing the first four sections of chapter 10 and all of chapters 12-16. At this pace, there is approximately one week of 'wiggle room' in the semester, which we can use to cover some of the more difficult topics at a slower or deeper level. I will update this site with the material covered each week in the course.
Important Dates: Fall Break: October 10, no class
October 27, no class
Thanksgiving Break, November 20-24, no class
FINAL EXAM: December 12 or 15, your choice, 2-4 PM
Week One: Sections 10.1-10.4: Parametric and Polar Equations and their Calculus
Week Two: Sections 12.1-12.3: Introduction to 3-D Coordinate Systems, Vectors and their Dot Product.
Week Three: Sections 12.4-12.5: Cross Products, Equations of Lines and Planes
Week Four: Sections 12.6-7, 13.1: Quadratic Surfaces, Cylindrical and Spherical Coordinates, Vector Valued Functions
Week Five: First Exam; Sections 13.2-3: Calculus of vector valued functions, Tangent, Normal, Binormal Planes, Arc Length, Curvature
Week Six: Sections 14.1-3: Introduction to Multivariable Functions, Limits and Continuity, Partial Derivatives.
Week Seven: Sections 14.4, 14.5: Linear Approximation, Differentials, and the Chain Rule
Week Eight: Sections 14.6, 14.7 Directional Derivatives, Optimization
Week Nine: Sections 14.7, 14,8, 15.1 Lagrange Multipliers, Introduction to Integration.
Week Ten: Sections 15.2, 15.3, 15.4 Iterated Integrals over Rectangular and "Funkier" regions, Polar Integration.
Week Eleven: Sections 15.5, 15.6 Centers of Mass, Probability, and Surface Area
Week Twelve: Sections 15.7-9 Triple Integrals, Cylindrical and Spherical Coordinates, Change of Variables for Multivariable Integrals
Week Thirteen: Sections 16.1-16.3 Vector Fields, Line Integrals, and the Fundamental Theorem for Line Integrals
Week Fourteen: Sections 16.4-16.8 Green's Theorem, Divergence Theorem, Stokes' Theorem
Key for Quiz 1
Key for Quiz 2
Key for Quiz 3
Practice Exam 1
Key for Exam 1
Key for Quiz 4
Key for Quiz 5
Key for Quiz 6
Key for Quiz 7
Practice Exam 2
Key for Exam 2
Key for Quiz 8
Key for Quiz 9
Key for Quiz 10
Practice Final
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