Within each section are links to notes,
video lectures, technology guides and demos,
practice exercises, problems, and past midterm exams.
Chapters enumerated with § refer to
Calculus 9E by Stewart
Week One · August 19
Monday – Syllabus | Definitions and Conventions
Tuesday – Three-Dimensional Space
Thursday – Lines and Surfaces
Wednesday – Cylindrical and Spherical Coordinates
Week Two · August 26
Monday – Vectors
Tuesday – The Dot Product
Wednesday – The Cross Product
Thursday – Lines and Planes Defined by Vectors
Week Three · September 2
Monday – Calculus with Vector-Valued Functions
Tuesday – Arclength and Curvature
Wednesday – The Frenet–Serret Frame
Thursday – Velocity and Acceleration
Week Four · September 9
Monday – Force, Work, Torque, etc
Tuesday – Kepler’s Laws of Planetary Motion
§13.4 Motion in Space: Velocity and Acceleration
Wednes/Thursday – First Midterm Exam
Past Midterm Exams
Week Five · September 16
Monday – Multivariable Functions
Tuesday – Limits and Continuity
Wednesday – Partial Derivatives
Thursday – The Chain Rule & Implicit Differentiation
Week Six · September 23
Mon/Tuesday – Tangents, Gradients, and Directional Derivatives
§14.4 Tangent Planes and Linear Approximations
§14.6 Directional Derivatives and the Gradient Vector
Notes: Differentials , Paul Dawkins
Notes: Directional Derivatives , Paul Dawkins
Notes: Tangent Planes and Linear Approximations , Paul Dawkins
Notes: Gradient Vector, Tangent Planes and Normal Lines , Paul Dawkins
Notes: Understanding Pythagorean Distance and the Gradient , Kalid Azad
Notes: Understanding the Gradient , Kalid Azad
Lecture: Finding Differentials of Multivariable Functions , Professor Leonard
Lecture: Finding Directional Derivatives and Gradients , Professor Leonard
Lecture: Finding Tangent Planes and Normal Lines to Surfaces , Professor Leonard
Wednes/Thursday – Local and Global Extrema
Week Seven · September 30
Mon/Tuesday – Optimization with Lagrange Multipliers
Wednes/Thursday – Second Midterm Exam
Past Midterm Exams
Week Eight · October 7
Monday – Double Integrals over Rectangular Regions
Tuesday – Double Integrals over General Regions
Wednesday – Double Integrals in Polar Coordinates
Thursday – Applications of Double Integrals
Week Nine · October 14
Monday – Triple Integrals in Rectangular Coordinates
Tuesday – Triple Integrals in Cylindrical Coordinates
Wednesday – Triple Integrals in Spherical Coordinates
Thursday – Change of Coordinates, and the Jacobian
Week Ten · October 21
Mon/Tuesday – Applications of Triple Integrals
§15.6 Triple Integrals
§15.7 Triple Integrals in Cylindrical Coordinates
§15.8 Triple Integrals in Spherical Coordinates
Wednes/Thursday – Third Midterm Exam
Past Midterm Exams
Week Eleven · October 28
Monday – Vector Fields
Tuesday – Line Integrals in Space
Wednes/Thursday – Line Integrals in Vector Fields
Week Twelve · November 4
Mon/Tuesday – Green’s Theorem
Wednes/Thursday – Curl and Divergence
Week Thirteen · November 11
Monday – Parametrically-Defined Surfaces
Tuesday – Surface Integrals
Wednes/Thursday – Stokes’ Theorem
Week Fourteen · November 18
Mon/Tuesday – The Divergence Theorem
Wednes/Thursday – Fourth Midterm Exam
Past Midterm Exams
Week Fifteen · November 25
Thanksgiving Break, No Class
Week Sixteen · December 2
Final Exam