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by: Otilia Murray I
Otilia Murray I
GPA 3.88


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Class Notes
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This 4 page Class Notes was uploaded by Otilia Murray I on Tuesday September 8, 2015. The Class Notes belongs to MAT 021C at University of California - Davis taught by Staff in Fall. Since its upload, it has received 109 views. For similar materials see /class/187409/mat-021c-university-of-california-davis in Mathematics (M) at University of California - Davis.

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Popular in Mathematics (M)


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Date Created: 09/08/15
Math 21C 2 Review Sheet 0 Sequences De nition Convergence7 Limits7 Divergence to In nity 1 De nition of Convergence Calculation of Limits Nondecreasing Sequence Theorem 0 Series De nition of nth Term7 Partial Sum7 Convergence Geometric Series Techniques for Checking Convergence nth Term Test for Divergence lntegral Test Comparison7 Limit Comparison Tests Ratio and Root Tests Alternating Series De nitions of AbsoluteConditional Convergence Power Series De nition7 Radius of Convergence7 lnterval of Convergence Term by term Differentiationlntegration Taylor and Maclaurin Series De nition Calculation of Taylor series Taylor Polynomials 1 Remainder Estimation Theorem o Vectors Rectangular coordinates Distance formula Component form for vectors Magnitude Unit Vectors Vector Addition7 Subtraction7 Scalar Multiplication Standard Unit Vectors Z i I Dot Product Calculation Angle Formula Orthogonality Projection Cross Product De nition Calculation Geometric lnterpretation Equations of Lines in Space Equations of Planes in Space 1 Distances from Points to LinesPlanes o Vector Valued Functions Geometric lnterpretation Limits and Continuity of vector valued functions Derivatives and lntegrals of vector valued functions Position7 velocity7 acceleration 1 Ideal Projectile Motion Equation 1 Arc Length 1 Unit Tangent Vector 1 Curvature7 Principal Unit Normal Vector 2 0 Partial Derivatives Functions of several variables Domain7 range lnterior Points7 Boundary Points7 Open7 Closed Bounded7 Unbounded Level Curves7 Level Surfaces Graph Limits of Functions of Several Variables 1 De nition Calculation of Limits Continuous Functions of Several Variables De nition of Partial Derivatives Calculation of Partial Derivatives Chain Rule Mixed Partial Derivatives Directional Derivatives De nition Calculations Gradient Calculation Geometric and Functional Interpretation 1 Tangent Planes 1 Differentials and Linearizations Extreme Values and Saddle Points De nitions First Derivative Test Second Derivative Test Calculation of Local and Absolute Extrema Method of Lagrange Multipliers Calculations with One Constraint Calculations with Two Constraints 1These topics Will not be expressly covered on the Final Exami Though7 knowing them may be helpfuli


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