MAT 133 Worksheets | Calculus II, Fall 2026

Contact

Grinnell College

Noyce 2516

brelandj@grinnell.edu

641-269-9444

Fall 2026 Courses

Student Hours

Mon 2:45–4:00 pm

Tue 10:00 am–12:00 pm

Wed 2:45–4:00 pm

Drop in · Noyce 2516

MAT 133: Calculus II
(Fall 2026)

Grinnell College

Course Info

MAT 133: Calculus II
Fall 2026
Sec 01MWF 8:00–9:20 AMSec 05MWF 1:10–2:30 PM
Noyce 2243 (both sections)
4 Credits

Instructor Info

Dr. Jadyn V. Breland (he/him/his)
M/W2:45–4:00 PMTu10:00 AM–12:00 PM
Noyce 2516 · drop in, no appointment
brelandj@grinnell.edu

A volume element in spherical coordinates, with the radial distance r and the angles theta and phi labeled, together with the increments dr, d-theta, and d-phi.

Word cloud from our first-day discussion of how a person learns something new. The largest words are repetition, practice, mistakes, curiosity, and exploration.

The tangent plane to a surface z = f(x,y) at a point P.

Worksheets

A significant portion of class time will be reserved for actively doing calculus, usually in small groups and often at the board.

Below, you will find the worksheets from each class meeting. I will try to post them as soon as possible after class. If you miss class, you should try the worksheet on your own and come see me if you get stuck.

Worksheets

Fri, Aug 28 Worksheet 1 Curves Defined by Parametric Equations (Stewart §10.1).
Applets:Parametric Curve Graphing Parametric Equations Parametric Curve Animation

Mon, Aug 31 Worksheet 2 Three-Dimensional Coordinate Systems (Stewart §12.1).
GeoGebra:Plotting Points in 3D

Wed, Sep 2 Worksheet 3 Vectors (Stewart §12.2).
Applets:Vector Addition Vector Subtraction Unit Vectors Vector Components

Fri, Sep 4 Worksheet 4 The Dot Product (Stewart §12.3).
GeoGebra:Dot Product Projection

Sep 9 & 11 Worksheet 5 The Cross Product (Stewart §12.4).
Applets:Cross Product Parallelepiped Cross Product (3D)

Mon, Sep 14 Worksheet 6 Equations of Lines and Planes (Stewart §12.5).
Applets:Vector Form of a Line Parameterized Line

Wed, Sep 16 Worksheet 7 Equations of Lines and Planes II (Stewart §12.5).
GeoGebra:Plane (Normal Vector + Point)

Fri, Sep 18 Worksheet 8 Vector Functions and Space Curves (Stewart §13.1–13.2). Exit ticket.
Applets:Vector Function Space Curve Parametric Curve Parametric Curve Tangent

Mon, Sep 21 Worksheet 9 Motion in Space (Stewart §13.2 and §13.4).
Applets:Tangent Vector Tangent Line Frenet Frame

Wed, Sep 23 Worksheet 10 Functions of Several Variables (Stewart §14.1).
Applets:Traces Contour Slicing Level Sets 3D Grapher

Mon, Sep 28 Worksheet 11 Limits and Continuity (Stewart §14.2).
GeoGebra:Definition of Limit

Wed, Sep 30 Worksheet 12 Partial Derivatives (Stewart §14.3).
Applets:Partial Derivatives Partial Derivative Picture Tangent Lines to Traces

Fri, Oct 2 Worksheet 13 Second Partials and Tangent Planes (Stewart §14.3–14.4).
Applets:Tangent Plane Tangent Plane (3D)Not Differentiable at Origin Not Differentiable: x²y/(x²+y²)

Mon, Oct 5 Worksheet 14 The Chain Rule and Directional Derivatives (Stewart §14.5–14.6).
GeoGebra:Directional Derivative

Wed, Oct 7 Worksheet 15 Directional Derivatives and the Gradient (Stewart §14.6).
Applets:Gradient Plotter Gradient Descent Domain Gradient Descent Rolling Downhill

Fri, Oct 9 Worksheet 16 Optimization (Stewart §14.7).

Mon, Oct 12 Worksheet 17 Constrained Optimization (Lagrange Multipliers) (Stewart §14.8).

Wed, Oct 14 Worksheet 18 Optimization Practice (Stewart §14.7–14.8). Exit ticket.

These worksheets were created by J.V. Breland and are licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

Contact

Fall 2026 Courses

Student Hours

MAT 133: Calculus II (Fall 2026)

Course Info

Instructor Info

Worksheets

Worksheets

MAT 133: Calculus II
(Fall 2026)