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Wyoming Seminary


Academic Year 2025 - 2026

Multivariable Calculus

Multivariable Calculus

Meeting Times: MW 7:00PM - 8:30PM in Sprague 200

Course Syllabus

DATE ACTIVITY
08/25/2025 First Day of Class
08/27/2025 Topics: Basics of Vectors, Dot Product, and Cross Product
Suggested Homework: Problems from Handout
09/03/2025 Topics: More on Cross Products, Planes and Lines in 3D
Suggested Homework:
Textbook Section 12.4 #9 - 18, 45 - 50, 7, 78, 79
Textbook Section 12.5 #1 - 8, 17 - 24
09/08/2025 Topics: Intersection of Lines and Planes in 3D, Introduction to Systems of Linear Equations
Suggested Homework:
Textbook Section 12.5 #27 - 32, 42 - 44, 66 - 68,
Problems from Handout
09/10/2025 Topics: Systems of Linear Equations
Suggested Homework: Problems from Handout
Quiz 1 Solutions
09/15/2025 Topics: Systems of Linear Equations
Suggested Homework: Problems from Handout
Quiz 2 Solutions
09/24/2025 Topics: Eigenvalues and Eigenvectors
Suggested Homework: Problems from Handout
Quiz 3 Solutions
10/01/2025 Topics: More on Eigenvalues and Eigenvectors
Suggested Homework: Problems from Handout
Quiz 4 Solutions
10/08/2025 EXAM 1: Vectors, Lines, Planes, and Matrices
Exam 1 Outline
10/15/2025 Topics: Plane and Space Curves, Derivatives, Arc Length and Speed
Suggested Homework:
Section 13.1, pp. 741-743, # 1-10, 25, 29, 33, 40-45
Section 13.2, pp. 752, 753, # 1-12, 31-36, 49-52
Section 13.3, pp. 758, 759, # 1-8, 11, 12, 23, 25
10/23/2025 Topics: The TNB-Frame, Curvature, and Torsion
Suggested Homework: Section 13.4, pp. 769, 770, # 1-10, 25, 29-32, 41-44, 46-52
Quiz 5 Solutions
10/30/2025 Topics: Applications of Plane and Space Curves
Suggested Homework: Section 13.5, pp. 778, 779, # 3-6, 15-18, 24, 26, 29, 32-35, 49, 50
Quiz 6 Solutions
11/05/2025 EXAM 2: Plane and Space Curves
Exam 2 Outline

The 7 Cardinal Sins of Mathematics

Derivative and Integration Table

Coupled Oscillators