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 18
Monday – Orientation on Three-Dimensional Space
Tuesday – Geometry in Three-Dimensional Coordinate Systems
Wednesday – Vectors in Three-Dimensional Space
Thursday – Department Early-Term Assessment
Week Two · August 25
Monday – The Dot Product and Projections
Tuesday – The Cross Product and Areas
Wednesday – Lines, Planes, and Surfaces Redux
Thursday – Distances Between Points, Lines, and Planes
Week Three · September 1
Mon/Tuesday – Parametrically-Defined Curves and Surfaces
Wednes/Thursday – First Midterm Exam
Past Midterm Exams
Note that prior to this semester,
the first and second midterms were combined.
Week Four · September 8
Monday – Calculus with Vector-Valued Functions
Tuesday – Velocity and Acceleration along Curves
Wednes/Thursday – Arclength, Curvature, Torsion and the Frenet–Serret Frame
§13.3 Arc Length and Curvature
Notes: Tangent, Normal, and Binormal Vectors , Paul Dawkins
Notes: Arc Length with Vector Functions , Paul Dawkins
Notes: Curvature , Paul Dawkins
Lecture: Arc Length/Parameterization, TNB Intro , Professor Leonard
Lecture: TNB Frames, Curvature, Torsion, Encapsulation , Professor Leonard
Week Five · September 15
Mon/Tuesday – Physics: Force, Work, Torque, etc
Wednes/Thursday – Second Midterm Exam
Past Midterm Exams
Note that prior to this semester,
the first and second midterms were combined.
Week Six · September 22
Monday – Multivariable Functions
Tuesday – Limits & Continuity
Wednesday – Partial Derivatives
Thursday – The Chain Rule & Implicit Differentiation
Week Seven · September 29
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
Wednesday – Local and Global Extrema
Thursday – Optimization with Lagrange Multipliers
Week Eight · October 6
Mon/Tuesday – Kepler’s Laws of Planetary Motion
§13.4 Motion in Space: Velocity and Acceleration
Wednes/Thursday – Third Midterm Exam
Past Midterm Exams
Week Nine · October 13
Monday – Double Integrals in Rectangular Coordinates
Tuesday – Double Integrals in Polar Coordinates
Wednesday – Applications of Double Integrals
Thursday – Change of Coordinates and the Jacobian
Week Ten · October 20
Monday – Triple Integrals in Rectangular Coordinates
Tues/Wednesday – Triple Integrals in Cylindrical and Spherical Coordinates
Thursday – Change of Coordinates and the Jacobian Redux
Week Eleven · October 27
Mon/Tuesday – Applications of Triple Integrals
Wednes/Thursday – Fourth Midterm Exam
Past Midterm Exams
Week Twelve · November 3
Monday – Vector Fields
Tuesday – Line Integrals in Space
Wednesday – Line Integrals in Vector Fields
Thursday – Surface Integrals in Vector Fields
Week Thirteen · November 10
Monday – Green’s Theorem
Tuesday – Curl & Divergence
Wednesday – Stokes’ Theorem
Thursday – The Divergence Theorem
Week Fourteen · November 17
Mon/Tuesday – Maxwell’s Equations and the Helmholtz Decomposition
Wednes/Thursday – Fifth Midterm Exam
Past Midterm Exams
Week Fifteen · November 24
Thanksgiving Break, No Class
Week Sixteen · December 1
Final Exam
Wednesday December 10 @ 10am