Vectors: MATH 171 Problems 1 & 2
Proving associative and scalar multiplication properties for vectors
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Vectors: MATH 171 Problems 3 & 4
Using vectors to prove the midpoint formula and a fact about quadrilaterals
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Vectors: MATH 171 Problems 5 & 6
Using vectors to prove facts about equilateral triangles and a scalar multiplication property for the dot product
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Dot Product: MATH 171 Problems 7 & 8
Proofs of the Cauchy-Schwarz Inequality and a property of vector projections
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Dot Product: MATH 171 Problems 9 & 10
Proving the Triangle Inequality and a property of the midpoints of rectangles
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Vector Functions: MATH 171 Problems 1 & 2
Proving a certain parameterization gives the unit circle and showing vector equations of lines are parallel
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Vectors and Derivatives (Product Rule): MATH 171 Problems 1-3
Proving facts about the derivatives of vector functions including the product rule
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Derivatives and Applications: MATH 171 Problems 7 & 8
Calculating slopes of tangent lines to parametric curves
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Derivatives and Rates of Change: MATH 171 Problems 1-3
Using the limit definition to find derivatives of functions and vector functions
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