MATH 231: Calculus III

Fall 2014, The Citadel

SYLLABUS
SCHEDULE
HOMEWORK
EXAMS
GRADES

Week Date Reading Materials
1 Wed 8/27 Ch. 3, 7 Lecture 1: Calculus Review
Course Outline: Math 231 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 8/29 Ch. 3, 7 Lab 1: Calculus Basics, Key
Pre-Lab: Calculus Basics, Key
2 Mon 9/1 Sec 12.1 Lecture 2: 3D Coordiantes
Paul's Notes: The 3D Coordinate System
Tue 9/2 Sec 12.2 Lecture 3: Vectors
Paul's Notes: Vectors - The Basics
Paul's Notes: Vector Arithmetic
Patrick's Videos: Introduction to Vectors
Patrick's Vidoes: Drawing Vectors
Wed 9/3 Sec 12.3 Lecture 4: The Dot Product
Paul's Notes: Dot Product
Patrick's Videos: Vectors - The Dot Product
Fri 9/5 Sec 12.1-12.3 Lab 2: Fun with Vectors
Pre-Lab 2: Fun with Vectors
3 Mon 9/8 Sec 12.4 Lecture 5: The Cross Product
Paul's Notes: Cross Product
Patrick's Videos: The Cross Product
Patrick's Videos: Application to Torque
Tue 9/9 Sec 12.5 Lecture 6: 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 9/10 Sec 12.6 Lecture 7: Quadric Surfaces
Paul's Notes: Quadric Surfaces
Mathispower's Videos: Intro to Quadric Surfaces
Fri 9/12 Sec 12.4-12.6 Lab 3: Objects in 3D
Pre-Lab: Objects in 3D
4 Mon 9/15 Sec 13.1 Lecture 8: Vector Functions
Paul's Notes: Vector Functions
Tue 9/16 Sec 13.2 Lecture 9: Calculus of Vector Functions
Paul's Notes: Calculus of Vector Functions
Patrick's Videos: Limit of a Vector Function
Wed 9/17 Sec 13.3 Lecture 10: 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 9/19 Sec 13.1-13.3 Lab 4: Fun with Vector Functions
Pre-Lab: Fun with Vector Functions
5 Mon 9/22 Sec 14.1 Lecture 11: Multivariable Functions
Paul's Notes: Functions of Several Variables
Tue 9/23 Sec 14.2 Lecture 12: Limits & Continuity
Paul's Notes: Limits
Wed 9/24 Exam 1: Sec 12.1-12.5, 13.1-13.3
Fri 9/26 Sec 14.1-14.2 Lab 5: Intro to Multivariable Functions
Pre-Lab: Intro to Multivariable Functions
6 Mon 9/29 Sec 14.3 Lecture 13: Partial Derivatives
Paul's Notes: Partial Derivatives
Patrick's Videos: Partial Derivatives
Patrick's Videos: Higher Order Partial Derivatives
Tue 9/30 Sec 14.4 Lecture 14: Tangent Planes & Differentials
Paul's Notes: Tangent Planes
Wed 10/1 Sec 14.5 Lecture 15: The Chain Rule
Paul's Notes: Chain Rule
Patrick's Videos: Generalized Chain Rule I
Patrick's Videos: Generalized Chain Rule II
Fri 10/3 Sec 14.3-14.5 Lab 6: Partial Derivatives
Pre-Lab: Partial Derivatives
7 Mon 10/6 Sec 14.6 Lecture 16: Directional Derivatives & Gradients
Paul's Notes: Directional Derivatives
Patrick's Videos: Finding the Directional Derivative
Tue 10/7 Sec 14.7 Lecture 17: 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 10/8 Sec 14.7 Lecture 18: Max & Min Values II
Paul's Notes: Absolute Max & Min
Fri 10/10 NO AFTERNOON CLASSES -- PARENTS' DAY
8 Mon 10/13 Sec 15.1-15.2 Lecture 19: Double Integrals over Rectangles
Paul's Notes: Double Integrals
Paul's Notes: Iterated Integrals
Patrick's Videos: Double Integral Example
Tue 10/14 Sec 15.3 Lecture 20: Double Integrals over General Regions
Paul's Notes: Double Integrals over General Regions
Patrick's Videos: Double Integrals over General Regions
Wed 10/15 Sec 15.3 Lecture 21: Double Integrals
Patrick's Videos: Changing Order of Integration
Fri 10/17 Sec 15.1-15.3 Lab 7: Double Integrals
Pre-Lab: Double Integrals
9 Mon 10/20 Sec 15.4 Lecture 22: Polar Coordinates
Paul's Notes: Double Integrals in Polar Coordinates
Tue 10/21 Sec 15.4 Lecture 23: Double Integrals in Polar Coordinates
Patrick's Videos: Double Integral in Polar Coordinates
Wed 10/22 NO DAY CLASSES - Leadership Day
Fri 10/24 Sec 15.3-15.4 Lab 8: Polar Coordinates
Pre-Lab: Polar Coordinates
10 Mon 10/27 Sec 15.4 Lecture 24: Applications of Double Integrals
Tue 10/28 Sec 15.5 Lecture 25: Applications of Double Integrals II
Wed 10/29 Sec 15.6 Lecture 26: Surface Area
Paul's Notes: Surface Area
Fri 10/31 Sec 15.5-15.6 Lab 9: Applications of Double Integrals
Pre-Lab: Applications of Double Integrals
11 Mon 11/3 Sec 15.7 Lecture 27: Triple Integrals
Paul's Notes: Triple Integrals
Patrick's Videos: Evaluating a Triple Integral
Tue 11/4 NO DAY CLASSES - Election Day
Last day to withdraw with "W" grade.
Wed 11/5 Exam 2: Sec 14.1-14.7, 15.1-15.6
Fri 11/7 Sec 15.7 Lab 10: Triple Integrals
Pre-Lab: Triple Integrals
12 Mon 11/10 Sec 15.8 Lecture 28: Cylindrical Coordinates
Paul's Notes: Cylindrical Coordinates
Tue 11/11 Sec 15.9 Lecture 29: Spherical Coordinates
Paul's Notes: Spherical Coordinates
Patrick's Videos: Triple Integral in Spherical Coordinates
Wed 11/12 Sec 15.9 Lecture 30: Coordinate Transformations
Paul's Notes: Change of Variables
Patrick's Videos: Jacobian
Fri 11/14 Sec 15.8-15.9 Lab 11: Coordinate Systems
Pre-Lab: Coordinate Systems
13 Mon 11/17 Sec 16.1 Lecture 31: Vector Fields
Paul's Notes: Vector Fields
Patrick's Videos: Sketching Vector Fields
Java Applet: Vector Field Analyzer
Tue 11/18 Sec 16.2 Lecture 32: 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 11/19 Sec 16.2 Lecture 33: Line Integrals over Vector Fields
Paul's Notes: Line Integrals, Part II
Paul's Notes: Line Integrals of Vector Fields
Fri 11/21 Sec 16.1-16.2 Lab 12: Line Integrals
Pre-Lab: Line Integrals
FB Mon 11/24 - Fri 11/28 NO CLASS - Fall Break
14 Mon 12/1 Sec 16.3 Lecture 34: 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 12/2 Sec 16.3 Lecture 35: 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 12/3 Exam 3: Chapter 15.7-15.9, 16.1-16.3
Fri 12/5 Sec 16.3 Lab 13: Conservative Fields
Pre-Lab: Conservative Fields
15 Mon 12/8 Sec 16.4 Lecture 36: Green's Theorem
Paul's Notes: Green's Theorem
Patrick's Videos: Green's Theorem
Tue 12/9 Sec 16.4 Lecture 37: Green's Theorem II
Wed 12/10 Ch. 12-16 Lecture 38: Final Review
F Tue 12/16 Final Exam
8:00am