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Syllabus
COURSE OUTLINE
1. Vectors and Matrices
Part A: Vectors, Determinants and Planes
Part B: Matrices and Systems of Equations
Part C: Parametric Equations for Curves
Exam 1
2. Partial Derivatives
Part A: Functions of Two Variables, Tangent Approximation and Optimization
Part B: Chain Rule, Gradient and Directional Derivatives
Part C: Lagrange Multipliers and Constrained Differentials
Exam 2
3. Double Integrals and
Line Integrals in the
Plane
Part A: Double Integrals
Part B: Vector Fields and Line Integrals
Part C: Green's Theorem
Exam 3
4. Triple Integrals and
Surface Integrals in
3-Space
Part A: Triple Integrals
Part B: Flux and the Divergence Theorem
Part C: Line Integrals and Stokes' Theorem
Exam 4
Physics Applications
Final Exam
Practice Final Exam
Review
Final Exam
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