MATH224 Calculus III w/ Honors
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Early introduction of vectors, linear algebra, multivariable calculus. Vector fields, line and surface integrals. Prerequisites: C or better in MATH112 or MATH122.
Student Learning Outcomes
At the conclusion of the class students will be able to:
Italicized words correspond to verbs associated with the cognitive domain (knowledge-based) portion of Bloom's Taxonomy.
Instructor : Scott Strong
Office : Stratton Hall 205
Office Phone : 303.384.2446
email : firstname.lastname@example.org
Office Hours: MWF @ 4:00pm in SH205, R @ 3:00pm in SH205 and R @ 4:00pm by appointment (Online Booking)
Office : Stratton Hall 202
Office Phone : 303.273.3840
email : email@example.com
Office Hours: MWF @ 9:00-10:50am, R @ 8:00-9:50am
TA : Jon Helland
email : firstname.lastname@example.org
Office Hours : R @ 4:00-5:00pm, SH201
email : email@example.com
Office Hours : R @ 4:00-5:00pm, SH201
email : firstname.lastname@example.org
Office Hours : by appointment
email : email@example.com
Office Hours : MW @ 4:00-6:00pm, SH201
100 problems from multivariate calculus
The following link will take you to a pdf that contains between 80 and 100 problems associated with calculus in several variables.
Challenge Problem Submission Area
This link will take you to the jotform used to submit your challange problem attempts.
* Wolfram's Handson Mathematica Tutorial (Level: Novice, Goal: Up through "Basic Graphics)" * MATH224 Specific Tutorial: Function instantiation, plot and manipulate commands (Level: Novice to Intermediate, Goal: Up through 10:08) * Here is the associated Mathematica notebook, for you to follow along. * Do not worry about the second part yet, i.e. contour plot, solve command and graphics options. You can take a look if you want. The degree of difficulty increases and if it feels stressful then stop. We will fold those commands in over time. * Liam, the maker of the video was told to speak slowly enough so that the video could be played at double-speed. Feel free to do this. * Please take notes as you go through the video. We will ask you about insights you had along the way and compile these for use in future experiences.
This week we will be visualizing conics and quadric surface via Mathematica. We will also form our working groups. There are also three deliverables, Mathematica notebook and hand calculations associated with the Studio assignment, an individual submission asking about Mathematica and Mindset and an individual team assignment.
This week we will be leveraging Mathematica to help us understand the behavior of surfaces with respect to the apparatus of limits. Groups have been formed and each has been associated with an Undergraduate TA mentor who will introduce themselves to your group today. There will be two deliverables, hand calculations associated with the Studio assignment with Mathematica corroboration, an individual submission asking about Mathematica and Learning Preferences.
This week will be less about Mathematica and more about concepts/calculations related to linear approximation and propagation of error.
The challenge problem is about the multivariate Taylor series and asks students to work with the Mathematica to plot surfaces, points, tangent planes and quadric surface approximations. In total, there are five challenge attempts. It is recommended that all groups attempt CP #1 and CP#4. Those interested in mathematical notation and linear algebra should also attempt CP #3. Mathematica junkies should do CP#2 and CP#5.
The individual submission asks you to look at the Tuckman's stages of group development, Belbin roles and, with these topics in mind, reflect on how your team is functioning.
MATH224 - Fall 2014 Materials
* Linear Algebra Notes * Linear Algebra Problems * Linear Algebra Slides * Essence of Linear Algebra (youtube playlist) * Linear Algebra for Planar Linear Systems of ODE (Used for MATH235 but applicable here)
Examples of Student Work