MATH 231: Calculus III

Spring 2014, The Citadel

SYLLABUS
SCHEDULE
HOMEWORK
EXAMS
GRADES

Week Date Reading Materials
1 Wed 1/15 Ch. 3, 7 Lecture 1: Calculus Review
Slides: Course Outline
Paul's Notes: Differentiation Review
Paul's Notes: Integration Review
Patrick's Videos: u-substitution Examples
Patrick's Videos: Integration by Parts Example
Fri 1/17 Ch. 3, 7 Lab 1: Calculus Basics, Key
Pre-Lab: Calculus Basics, Key
2 Mon 1/20 NO CLASS -- MLK DAY
Tue 1/21 Sec 12.1-12.2 Lecture 2: Vectors & 3D Coordinates
Paul's Notes: The 3D Coordinate System
Paul's Notes: Vectors - The Basics
Paul's Notes: Vector Arithmetic
Patrick's Videos: Introduction to Vectors
Patrick's Vidoes: Drawing Vectors
Software: Microsoft Mathematics
Tue 1/21 Calculus Jeopardy -- 8:00pm, Thompson 303
Wed 1/22 Sec 12.3 Lecture 3: The Dot Product
Paul's Notes: Dot Product
Patrick's Videos: Vectors - The Dot Product
Fri 1/24 Sec 12.1-12.3 Lab 2: Fun with Vectors, Key
Pre-Lab: Fun with Vectors, Key
3 Mon 1/27 Sec 12.4 Lecture 4: The Cross Product
Paul's Notes: Cross Product
Patrick's Videos: The Cross Product
Patrick's Videos: Application to Torque
Tue 1/28 Sec 12.5 Lecture 5: Lines & Planes
Paul's Notes: Equations of Lines
Paul's Notes: Equations of Planes
Patrick's Videos: Finding Equation of a Plane
Patrick's Videos: Finding Intersection of Line & Plane
Patrick's Videos: Vector Equation of a Line
Wed 1/29 No Class - Citadel closed for weather
Fri 1/31 Sec 12.6 Lecture 6: Quadric Surfaces
Lab 3: Objects in 3D, Key
Paul's Notes: Quadric Surfaces
Mathispower's Videos: Intro to Quadric Surfaces
4 Mon 2/3 Sec 13.1 Lecture 7: Vector Functions
Paul's Notes: Vector Functions
Tue 2/4 Sec 13.2 Lecture 8: Calculus of Vector Functions
Paul's Notes: Calculus of Vector Functions
Patrick's Videos: Limit of a Vector Function
Wed 2/5 Sec 13.3 Lecture 9: Arc Length & Curvature
Paul's Notes: Tangent Normal & Binormal Vectors
Paul's Notes: Arc Length with Vector Functions
Paul's Notes: Curvature
Patrick's Videos: Arc Length with Parametric Curves
Fri 2/7 Sec 13.1-13.3 Lab 4: Fun with Vector Functions, Key
Pre-Lab: Fun with Vector Functions, Key
5 Mon 2/10 Sec 14.1 Lecture 10: Multivariable Functions
Paul's Notes: Functions of Several Variables
Tue 2/11 Sec 14.2 Lecture 11: Limits & Continuity
Review: Exam 1 Outline
Paul's Notes: Limits
Wed 2/12 No Class - Citadel closed for weather
Fri 2/14 Exam 1: Sec 12.1-12.5, 13.1-13.3
6 Mon 2/17 Sec 14.3 Lecture 12: Partial Derivatives
Paul's Notes: Partial Derivatives
Patrick's Videos: Partial Derivatives
Patrick's Videos: Higher Order Partial Derivatives
Tue 2/18 Sec 14.4 Lecture 13: Tangent Planes & Differentials
Paul's Notes: Tangent Planes
Wed 2/19 Sec 14.5 Lecture 14: The Chain Rule
Paul's Notes: Chain Rule
Patrick's Videos: Generalized Chain Rule I
Patrick's Videos: Generalized Chain Rule II
Fri 2/21 Sec 14.3-14.5 Lab 6: Partial Derivatives, Key
Pre-Lab: Partial Derivatives, Key
7 Mon 2/24 Sec 14.6 Lecture 15: Directional Derivatives & Gradients
Paul's Notes: Directional Derivatives
Patrick's Videos: Finding the Directional Derivative
Tue 2/25 Sec 14.7 Lecture 16: Max & Min Values
Paul's Notes: Relative Max & Min
Patrick's Videos: Local Max & Min with 2 Variables I
Patrick's Videos: Local Max & Min with 2 Variables II
Wed 2/26 Sec 14.7 Lecture 17: Max & Min Values, Part 2
Paul's Notes: Absolute Max & Min
Fri 2/28 Sec 14.6-14.7 Lab 7: Extrema Situations, Key
Pre-Lab: Extrema Situations, Key
8 Mon 3/3 Sec 15.1-15.2 Lecture 18: Double Integrals over Rectangles
Paul's Notes: Double Integrals
Paul's Notes: Iterated Integrals
Patrick's Videos: Double Integral Example
Tue 3/4 Sec 15.3 Lecture 19: Double Integrals over General Regions
Paul's Notes: Double Integrals over General Regions
Patrick's Videos: Double Integrals over General Regions
Wed 3/5 Sec 15.3 Lecture 20: Double Integrals
Patrick's Videos: Changing Order of Integration
Fri 3/7 Sec 15.1-15.3 Lab 8: Double Integrals, Key
Pre-Lab: Double Integrals, Key
9 Mon 3/10 Sec 15.4 Lecture 21: Polar Coordinates
Paul's Notes: Double Integrals in Polar Coordinates
Tue 3/11 Sec 15.4 Lecture 22: Double Integrals in Polar Coordinates
Patrick's Videos: Double Integral in Polar Coordinates
Wed 3/12 Sec 15.5 Lecture 23: Applications of Double Integrals
Fri 3/14 Sec 15.3-15.4 Lab 9: Polar Coordinates, Key
Pre-Lab: Polar Coordinates, Key
10 Mon 3/17 Sec 15.5 Lecture 24: Applications of Double Integrals, Part 2
Tue 3/18 Sec 15.5 Lecture 25: Applications of Double Integrals, Part 3
Wed 3/19 Sec 15.6 Lecture 26: Surface Area
Paul's Notes: Surface Area
Wed 3/19 Last day to withdraw with "W" grade
Fri 3/21 Sec 15.5-15.6 Lab 10: Applications of Double Integrals, Key
Pre-Lab: Applications of Double Integrals, Key
SB Mon 3/24 - Fri 3/28 NO CLASS - Spring Break
11 Mon 3/31 Sec 15.7 Lecture 27: Triple Integrals
Paul's Notes: Triple Integrals
Patrick's Videos: Evaluating a Triple Integral
Tue 4/1 Sec 15.7 Lecture 28: Triple Integrals, Part 2
Wed 4/2 Exam 2: Sec 14.1-14.7, 15.1-15.6
Fri 4/4 Sec 15.7 Lab 11: Triple Integrals, Key
Pre-Lab: Triple Integrals, Key
12 Mon 4/7 Sec 15.8 Lecture 29: Cylindrical Coordinates
Paul's Notes: Cylindrical Coordinates
Tue 4/8 Sec 15.9 Lecture 30: Spherical Coordinates
Paul's Notes: Spherical Coordinates
Patrick's Videos: Triple Integral in Spherical Coordinates
Wed 4/9 Sec 15.10 Lecture 31: Coordinate Transformations
Paul's Notes: Change of Variables
Patrick's Videos: Jacobian
Fri 4/11 Sec 15.8-15.10 Lab 12: Coordinate Systems, Key
Pre-Lab: Coordinate Systems, Key
13 Mon 4/14 Sec 16.1 Lecture 32: Vector Fields
Paul's Notes: Vector Fields
Patrick's Videos: Sketching Vector Fields
Java Applet: Vector Field Analyzer
Tue 4/15 Sec 16.2 Lecture 33: Line Integrals
Paul's Notes: Line Integrals, Part I
Patrick's Videos: Line Integral Along a Straight Line
Patrick's Videos: Evaluating a Line Integral
Wed 4/16 Sec 16.2 Lecture 34: Line Integrals over Vector Fields
Paul's Notes: Line Integrals, Part II
Paul's Notes: Line Integrals of Vector Fields
Fri 4/18 Sec 16.1-16.2 Lab 13: Line Integrals, Key
Pre-Lab: Line Integrals, Key
14 Mon 4/21 Sec 16.3 Lecture 35: Conservative Vector Fields
Paul's Notes: Conservative Vector Fields
Patrick's Videos: Potential of a Conservative Field 1
Patrick's Videos: Potential of a Conservative Field 2
Tue 4/22 Sec 16.3 Lecture 36: Fundamental Theorem of Line Integrals
Paul's Notes: Fundamental Theorem for Line Integrals
Patrick's Videos: Fundamental Theorem for Line Integrals
Patrick's Videos: Proving a Field is Conservative
Wed 4/23 Exam 3: Chapter 15.7-15.9, 16.1-16.3
Fri 4/25 Sec 16.3 Lab 14: Conservative Fields
15 Mon 4/28 Sec 16.4 Lecture 37: Green's Theorem
Paul's Notes: Green's Theorem
Patrick's Videos: Green's Theorem
Tue 4/29 Sec 16.4 Lecture 38: Green's Theorem, Part 2
F Fri 5/2 Final Exam
1:00-4:00pm