MAT 223/234: Calculus III

  1. Course syllabus

• MAT 223 Calculus and Analytic Geometry III
• MAT 234 Calculus of Several Variables

  2. Lecture Notes

• Vectors in the plane
• Vectors in the space
• The Dot Product
• The Cross Product
• Lines and Planes in Space
• Surfaces in Space
• Vector-valued Functions
• Applications of Vector Functions
• Functions of several variables
• Partial Derivatives and Differentials
• Chain Rules
• Directional Derivatives, Gradients
• Tangent Planes and Normal Lines
• Extrema and Applications
• Lagrange Multipliers
• Double Integrals
• Applications of Double Integral
• Cylindrical and Spherical Coordinates
• Triple Integrals with Applications
• Vector Fields
• Line Integrals
• Green's Theorem
• Surface Integrals
• Divergence Theorem, Stokes's Theorem
• Introduction to Differential Equations
• Separation of Variables
• First-Order Linear Differential Equations
• Predator-Prey Differential Equations (part)

  3. Homework - Please scan and turn in an electronic copy by email

• Homework 1, 9/12, answers
• Homework 2, 9/16, answers
• Homework 3, 9/19, answers
• Homework 4, 9/25, answers
• Homework 5, 10/3, answers
• Homework 6, 10/13, answers
• Homework 7, 10/20, answers
• Homework 8, 10/24, answers
• Homework 9, 10/30, answers
• Homework 10, 11/4, answers
• Homework 11, 11/13, answers
• Homework 12, 11/19, answers
• Homework 13, 12/1, answers
• Homework 14, 12/8, answers

  4. Quiz dates (tentative)

•  9/8, 9/18, 10/2, 10/16, 10/30, 11/13, 11/26, 12/4

  5. Midterms

• Exam 1, 9/25, A sample exam, answers
• Exam 2, 10/23, A sample exam, answers
• Exam 3, 11/20, A sample exam, answers

  6. Finals

• MAT234, Nov 25, 10:00am-12pm
• MAT223, Dec 19, 10:00am-12pm

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