Werdel, Tim

BC Calculus - First Semester Units

Unit 1 - Limits and Continuity
Unit 1 Outline
Limit Strategy Flowchart
Worksheet 1 - Evaluating Limits
Worksheet 2 - Limits Involving Infinity
Worksheet 3 - Continuity 1
Worksheet 4 - Continuity 2
Worksheet 5 - Review

Unit 2: Differentiation and Fundamental Properties
Unit 2 Outline: Differentiation and Fundamental Properties
Worksheet 6 - Average ROC
Worksheet 8 - Tangents and Normals
Worksheet 9 - Derivatives of Trig Functions
Worksheet 11 - Unit 2 Review

Unit 3 - More Differentiation Techniques
Unit 3 Outline
Worksheet 14 - Derivatives of Exponential and Logarithmic Functions
Worksheet 16 - Implicit Differentiation
Worksheet 17 - Derivatives of Inverse Trig Functions
Worksheet 18 - Derivatives of Inverse Functions
Worksheet 20 - Derivatives Review

Unit 4: Contextual Applications of the Derivative
Unit 4 Outline
Worksheet 22 - Linearization
Worksheet 23 - Rates of Change
Worksheet 24 - Straight-Line Motion
Worksheet 25 - Related Rates 1
Worksheet 25 ANSWERS
Worksheet 26 - Related Rates 2
Worksheet 26 ANSWERS
Worksheet 27 - Related Rates 3
Worksheet 27 ANSWERS
Worksheet 28 - L'Hopital's Rule
Worksheet 29 - Unit 4 Review

Unit 5: Analytical Applications of Differentiation
Unit 5 Outline
Worksheet 31 - Extreme Values
Worksheet 32 - Mean Value Theorem
Worksheet 33 - Increasing, Decreasing, Relative Max/Min
Examples - Concavity, Inflection Points, and The Second Derivative Test
Worksheet 34 - The Second Derivative
Examples - Graphical Analysis
Worksheet 35 - Graphical Analysis
Examples - Optimization
Worksheet 36 - Optimization
Worksheet 37 - Review


Unit 6 - Integration Techniques
Unit 6 Outline
Worksheet 40 - "Most Complicated" Rule
Worksheet 44 - Integration by Parts
Worksheet 48 - Integration Techniques Review

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Unit 7 - Applications of Integration
Worksheet 49 - Estimating Area
Worksheet 50 - Definite Integrals as Riemann Sums
Worksheet 51 - The Accumulation Function
Worksheet 52 - The Accumulation Function and Graphical Analysis
Worksheet 53 - Average Value and Accumulation
Worksheet 54 - Particle Motion - Definite Integrals
Notes - Integral as Net Change
Worksheet 55 - Integral as Net Change
Worksheet 56 - Rates - AP Questions   AND ANSWERS
Worksheet 57 - Areas in the Plane
Worksheet 58 - Volume of Solids - Known Cross Sections
Worksheet 59 - Volumes by Rotation_Discs or Washers
Worksheet 60 - Volumes
Worksheet 61 - Arc Length
Worksheet 62 - Unit 7 Review

Unit 8 - Parametric and Polar Equations
Unit 8 Outline
Worksheet 63 - Parametric Equations
Worksheet 64 - Parametric Equations - Arc Length
Worksheet 65 - Vector Calculus
Worksheet 66 - Vector Calculus 2
Worksheet 67 - Parametric and Vectors
Worksheet 68 - Polar Equations and Derivatives
Worksheet 69 - Polar Equations - Derivatives and Area
Worksheet 70 - Polar Area
Worksheet 71 - Polar Equations Review


Final Exam Review #1    - Omit Problems #8, 14, 18, 23, 29-32, 34, 37, 39, 40, 45
Final Exam Review #2