Lecture 1

2025 Jan 21 (Tue)

Coordinate Systems, Vectors

OpenStax: §2.1

Stewart: §12.1–2

Resources: slides

Extras: Quadric Surfaces and Traces

Lecture 2

2025 Jan 23 (Thu)

Dot Product, Cross Product, Projection

OpenStax: §2.3 §2.4

Stewart: §12.3–4

Resources: slides

Due: HW0

Extras: Another Projection Example

Lecture 3

2025 Jan 28 (Tue)

Equations of Lines & Planes

OpenStax: §2.5

Stewart: §12.5

Resources: slides

Due: HW1

Lecture 4

2025 Jan 30 (Thu)

Calculus of Space Curves

OpenStax: §3.1 §3.2

Stewart: §13.1–3

Resources: slides

Note: Last day for change of program

Lecture 5

2025 Feb 04 (Tue)

Motion, Velocity, & Acceleration

OpenStax: §3.4

Stewart: §13.4

Resources: slides

Due: HW2

Lecture 6

2025 Feb 06 (Thu)

Arc Length, Reparametrization, & Curvature

OpenStax: §3.3

Stewart: §13.3

Resources: slides

Lecture 7

2025 Feb 11 (Tue)

Functions of Several Variables, Continuity

OpenStax: §4.1 §4.2

Stewart: §14.1–2

Resources: slides

Due: HW3

Lecture 8

2025 Feb 13 (Thu)

Partial Derivatives

OpenStax: §4.3

Stewart: §14.3

Resources: slides

Extras: Limit Examples

Lecture 9

2025 Feb 18 (Tue)

Tangent Planes & Linearization

OpenStax: §4.4

Stewart: §14.4

Resources: slides

Due: HW4

Other

2025 Feb 20 (Thu)

MIDTERM EXAM 1 (through 14.3)

Note: lectures 1–8; hw 1–4

Extras: Exam 1 Sample

Lecture 10

2025 Feb 25 (Tue)

The chain rule

OpenStax: §4.5

Stewart: §14.5

Resources: slides

Due: HW5

Lecture 11

2025 Feb 27 (Thu)

Directional derivatives and the gradient vector

OpenStax: §4.6

Stewart: §14.6

Resources: slides

Lecture 12

2025 Mar 04 (Tue)

Max & Min Values

OpenStax: §4.7

Stewart: §14.7

Resources: slides

Due: HW6

Extras: Unconstrained Example

Lecture 13

2025 Mar 06 (Thu)

Lagrange multipliers

OpenStax: §4.8

Stewart: §14.8

Resources: slides

Extras: Lagrange Example

Lecture 14

2025 Mar 11 (Tue)

Multiple/Iterated Integrals

OpenStax: §5.1 §5.2 §5.4

Stewart: §15.1–4

Resources: slides

Due: HW7

Extras: Polar Integral

Lecture 15

2025 Mar 13 (Thu)

Polar/Cylindrical/Spherical Coordinates

OpenStax: §5.5

Stewart: §15.6–8

Resources: slides

Lecture 16

2025 Mar 25 (Tue)

Applications of Integration

OpenStax:§5.6

Stewart: §15

Resources: slides

Due: HW8

Other

2025 Mar 27 (Thu)

Integration Review

Resources: slides

Lecture 17

2025 Apr 01 (Tue)

Vector Fields & Line Integrals

OpenStax: §6.1 §6.2

Stewart: §16.1–2

Resources: slides

Extras: Velocity Fields

Other

2025 Apr 03 (Thu)

MIDTERM EXAM 2

Note: lectures 9–16; hw 5–9

Extras: Exam 2 Sample

Lecture 18

2025 Apr 08 (Tue)

Conservative Fields,
Work & Energy

OpenStax: §6.3

Stewart: §16.3

Resources: slides

Due: HW9

Extras: Potential Functions

Lecture 19

2025 Apr 10 (Thu)

Green's Theorem

OpenStax: §6.4

Stewart: §16.4

Resources: slides

Note: Last day for drop or pass/fail

Extras: Work Integrals

Lecture 20

2025 Apr 15 (Tue)

Parametric Surfaces & Areas

OpenStax: §6.6

Stewart: §16.6

Resources: slides

Due: HW10

Lecture 21

2025 Apr 17 (Thu)

Flux & Curl & Div

OpenStax: §6.5 §6.6

Stewart: §16.5,7

Resources: slides

Extras: Winding Number

Lecture 22

2025 Apr 22 (Tue)

Stokes' Theorem

OpenStax: §6.7

Stewart: §16.8

Resources: slides

Due: HW11

Extras: Parametric Surfaces

Lecture 23

2025 Apr 24 (Thu)

The Divergence Theorem

OpenStax: §6.8

Stewart: §16.9

Resources: slides

Due: HW12

Extras: Green's and Div

Lecture 24

2025 Apr 29 (Tue)

Vector Calculus Review

Resources: slides

Other

2025 May 01 (Thu)

Wrap-up

Other

2025 May 06 (Tue)

Review Session (reading week)

Extras: Old Final Exam

Other

2025 May 08 (Thu)

FINAL EXAM

Note: *projected dates. schedule set by registrar