Mr. Valsa's Math Page
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AP Calculus AB
- Course Intro
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Unit 01: Limits & Continuity
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- 1.1 Intro to Calculus
- 1.2 Defining Limits & Using Limit Notation
- 1.3 Estimating Limit Values from a Graph
- 1.4 Estimating Limit Values from a Table
- 1.5 Determining Limits Using Algebraic Properties
- 1.6 Determining Limits Using Algebraic Manipulation
- 1.7 Selecting Procedures for Determining Limits
- 1.8 Squeeze Theorem
- 1.9 Multiple Representations of Limits
- 1.10 Exploring Types of Discontinuities
- 1.11 Defining Continuity
- 1.12 Confirming Continuity over an Interval
- 1.13 Removing Discontinuity
- 1.14 Infinite Limits & Vertical Asymptotes
- 1.15 Connecting Limits at Infinity & Horizontal Asymptotes
- 1.16 Intermediate Values Theorem (IVT)
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Unit 02: Intro to the Derivative
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- 2.1 Defining Average & Instantaneous Rates of Change
- 2.2 Defining the Derivative of a Function
- 2.3 Estimating the Derivative at a Point
- 2.4 Determining When Derivatives Exist
- 2.5 Applying the Power Rule
- 2.6 Derivative Rules
- 2.7: Derivatives of sin, cos, e^x, ln(x)
- 2.8 Product Rule
- 2.9 Quotient Rule
- 2.10 Derivative of tan/cot/sec/csc
- Unit 03: Advanced Differentiation >
- Unit 04: Contextual Applications of Derivatives >
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Unit 05: Analytical Applications
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- 5.1 Using the Mean Values Theorem (MVT)
- 5.2 Extreme Values Theorem (EVT)
- 5.3 Determining where a function is increasing/decreasing
- 5.4 First derivative test for extrema
- 5.5 Candidates Test for Extreme Values
- 5.6 Determining Concavity of a Function
- 5.7 Second Derivative Test for Extrema
- 5.8 Sketching Functions & their Derivatives
- 5.9 Connecting a Function and it's 1st/2nd Derivative
- 5.10 Intro to Optimization Problems
- 5.11 Solving Optimization Problems
- 5.12 Exploring Implicit Relationships
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Unit 06: Integration & Accumulation of Change
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- 6.1 Exploring Accumulations of Change
- 6.2 Approximating Areas with Riemann Sums
- 6.3 Riemann Sums/Summation Notation/Definite Integrals Notation/
- 6.4 FTC (Fundamental Theorem of Calculus) & Accumulation
- 6.5 Interpreting the Behavior of Accumulation Functions
- 6.6 Applying Properties of Definite Integrals
- 6.7 FTC and Definite Integrals
- 6.8 Anti-Derivatives - Basic Rules & Notation
- 6.9 Integration Using Substitution
- 6.10 Integration by Long Division & Completing the Square
- 6.14 - Selecting Techniques of Anti-Differentiation
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Unit 07: Differential Equations
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- 7.1 Modeling Situations with Differential Equations
- 7.2 Verifying Solutions to Differential Equations
- 7.3 Sketching Slope Fields
- 7.4 Reasoning with Slope Fields
- 7.6 Finding General Solutions using Separation of Variables
- 7.7 Finding Particular Solutions using Initial Conditions
- 7.8 Exponential Models with Differential Equations
- Unit 08: Applications of Integration
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PreCalculus
- Course Intro
- Unit 01: Function Analysis >
- Unit 02: Polynomial & Rational Functions >
- Unit 03: Conic Sections >
- Unit 04: Exponents & Logarithms >
- UNIT 05: Sequences & Series >
- Unit 06: Right Triangle Trigonometry >
- Unit 07: Graphing Trigonometric Functions >
- Unit 08: Trigonometric Identities >
- Unit 09: Polar Coordinates
- Unit 10: Vectors
- Unit 11: Intro to Calculus
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Integrated Math 3
- Course Intro
- Unit 01: Analytic Geometry >
- Unit 02: Geometric Proofs & Modeling >
- Unit 03: Circles & Parabolas >
- Unit 04: Representing Functions >
- Unit 05: Trigonometry >
- Unit 06: Graphing Trig >
- Unit 07: Polynomial Functions >
- Unit 08: Rational Functions >
- Unit 09: Log & Exponential Functions >
- Unit 10: Inferential Statistics >
- Math Team
- Contact
5.4 First derivative test for extrema
| 5.4_blank_notes_-_calc.pdf | |
| File Size: | 340 kb |
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| 5.4_completed_notes_-_calc.pdf | |
| File Size: | 225 kb |
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| 5.3___5.4_worksheet_-_calc.pdf | |
| File Size: | 113 kb |
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| 5.3___5.4_worksheet_worked_out_solutions_-_calc.pdf | |
| File Size: | 247 kb |
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