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Yolande Petersen

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Math 173 Information and Handouts

Required Materials

Textbook: Calculus, Early Transcendentals 9th ed. by James Stewart (paper version)
A scientific calculator (non-graphing, non-CAS). These usually cost $10-$15 and include the TI-30 series, Casio FX- series, and Sharp EL-series. However, you can receive preapproval for other calculators by showing them to me before the exam. Graphing calculators (like TI-84) and CAS calculators (like TI-89) may NOT be used. Also, cell phones or other communication/data storage devices may not be used as a calculator.

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MJC - Universtiy of Pacific Engineering and Computer Science Transfer Agreement Info

STEM Internships

Lecture Notes and Syllabus: To be updated

Review & Exam Solutions

Exam 1 - yellow Correction: #5c one sheet
Exam 2 - yellow and buff
Exam 3/4 solutions Exam 3/4 assignment
Review - Exam 1 (Correction: #8 j term is (pi/8 - 1/4)j
Review - Exam 2
Review - Exam 3
Review - Exam 4 Review 4 Complete solutions
Review - Final Exam Answers to #1-8
Review - Final Exam Solutions: Set 1, Set 2, Set 3, Set 3/4(combo) Set 4
HW 12.6 # 47

3D Graphing Tools

Geogebra Classic - Graphing Lines, Planes, and Vectors (Instructions -for points and vectorsCorrection)
CalcPlot3D - old version new version
Parametric Curve Tracer
Desmos 3D - this is the least developed of the 4 tools listed here
(There are 3-D triple integral volume visualizers, including Mathematica and Maplesoft - they cost ~$1000/year)

Class Multimedia

Vector Review 6-page summary document long video short videos by patrickjmt
Calculus Overview
12.1 3D Coordinate Shifting Example (seconds 0:28 - 0:30, 0:40- 0:42)
12.2 Vector Projections Applet
12.2 Vectors in Holonomic Robotics System Holonomic Code Sample Mecanums in Industry
12.3 Direction Cosines and Trusses (screen shot)
12.3 Dot Product Visualization
12.4 Cross Product Visualization Right-hand Rule: Electromagnetic Coils
Preview to 12.6: Review of Graphing Hyperbolas (there are videos for other conic sections here)
12.6 Quadric Surfaces - modify ellipsoid formula - red button
12.6 Traces (Level Curves)
12.7 Cylindrical Coordinates demo Spherical Coordinates demo
12.7 Spherical Coordinate applet
13.1 Vector Function - Helix 13.1 Spiral Torus - Figure 7
13.1 Intersection of 2 Surfaces - Parametric Space Curve (also 13.2 # 29)
13.2 Vector Space Curve Example 2 Cam bolts
13.3 Position, Tangential & Normal Vectors
13.4 RVA-helix RVA - Parabola
14.1 Contour Map
14.1 Level Curves Calculator - Geogebra Contour Plot and Surface Terracing Terracing 7.0
14.3 Heat-Relative Humidity index charts
14.5 Chain Rule Visualization (parametric)
14.6 Directional Derivative Visualization along <i,j>/sqrt(2)
14.6 Tangent Plane to Level Surface Visualization
14.7 OR 14.8 Maximize box Volume Visualization
14.8 Lagrange Visualization and Explanation
14.8 Lagrange Example - Visualization (requires downloading Wolfram CDF player)
15.1 Volume - Magnificent Mountain Lishui Economic Zone (or Lishui photo here)
15.4 Probability Density Functions - single variable (overview video) - This topic is not required and not covered in class, but it's fun! It's too bad we don't have time for it.
15.4 Probability and Double Integrals (overview video) White Paper HW Example Video
15.6 Triple Integral - Volume of Integration Visualization

Chapter 16 is a collection of "tools" used in fluid dynamics, among other things. The concepts may seem abstract, but Better Explained and Math Insight explain some of these ideas "common sensibly" Try searching for topics like curl, divergence, and flux.

16.1 Vector fields: Application examples
16.1 Vector Field 2-D Solver
16.1 Vector Fields (3D) Demonstration Examples
16.1 Vector Field Generator - 3D in Geogebra
16.3 A Very Non-Conservative Vector Field - It's rotational, and energy is lost traversing to the starting point
MC Escher Gallery Drawing Hands Metamorphose
16.5 Divergence and curl (2D)
16.6 Parametric Surface Graph example Parametric Surface Grapher
16.7 Flux Conceptually
16.8 Green's Theorem Conceptually Geography Example
16.9 Divergence Conceptually

Sorting Algorithms - Log calculations
Speech Recognition - Vector Calculus
Speech Recognition Sample Code
PID control(Proportional, Integral, Differential)PID with Simple Calculus PID with No Calculus
Explore the calculus of solids and surfaces through soft robotics
Math Video Series: Patrick JMT (Just Math Tutorials)- IMO, these are clearer than Khan Academy, and they're organized by topic. Both series' give simple overviews, rather than the deep detail of your textbook.
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Guided Notes - This 154-page packet with "skeleton" lecture notes and study guides can be picked up (or sent) for FREE from the Pirates Bookstore, but it can also be downloaded here. You're welcome :-)

To Infinity and Beyond - Interesting, Inspiring, and (mildly) Irrelevant applications

Maya Demo || Differentials and 3D modeling with Maya (Autodesk product - See Engr. 127)
Blender Demo - Animation, Sculpting, and other 3D functions
Unity Demo || Unity 3D - Game Development Platform
Goldwave Demo - this person "draws" sound like some people draw functions
Calculus in Network Design

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