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AP Calculus / ECE Calculus
Welcome
AP Calculus AB
AP Calculus AB Assignments 2024-2025
Unit 1
1.01 The Tangent and Velocity Problem
1.02 Numerical and Graphical Limits
1.03 Limits of Functions Using Properties of Limits
1.04 Algebraic Limits
1.05 Infinite Limits and Limits at infinity
1.06 Continuity and IVT
1.07 Rates of Change
1.08 Secant, Tangent, and Normal Lines
1.09 Unit 1 Review
Unit 2
2.01 The Derivative as a Function
2.02 Derivtive of Polynomial Functions (Power Rule)
2.03 Derivatives and Tangents
2.04 Differentiability
2.05 Unit 2 Review
Unit 3
3.01 Chain Rule with Polynomial Functions
3.02 Exponetial and Logarithmic Derivatives
3.03 Product and Quotient Rules
3.04 Trigonometric Derivatives
3.05 Inverse Derivative Rule
3.06 Advance Chain Rule
3.07 L'Hopital's Theorem
3.08 Unit 3 Review
Unit 4
4.01 Intervals of Increase and Decrease
4.02 Critical Points (Maximum and Minimum Values)
4.03 Mean Value Theorem
4.04 Second Derivative Test
4.05 Motion Applications
4.06 Unit 4 Review
Unit 5
5.01 Optimization
5.02 Economic Optimization
5.03 Implicit Derivation
5.04 Special Cases of Tangency
5.05 Related Rates (Volume and Area)
5.06 - Related Rates (Triangles)
5.07 Related Rates (Cones)
5.08 Derivatives With Calculator
5.09 Unit 5 Review
Unit 6
6.01 Riemann Sums (Graphic & Numeric)
6.02 - Riemann Sums (Algebraically)
6.03 Trapezoidal Approximations
6.04 Definite Integrals
6.05 Properties of Definite Integrals
6.06 Antiderivatives
6.07 FTC (Part I)
6.08 FTC (Part II)
6.09 Integrals and Motion
6.10 Unit 6 Review
Unit 7
7.01 Area Between Two Curves
7.02 Volume by Cross Section
7.03 Rotational Volume-Disc/ Washer Method
Unit 8
8.01 Solutions to Differnential Equations and Slope Fields
8.02 Antidifferentiation by Substitution (with and without bounds)
8.03 Separable Differntial Equations
Unit 6-8 Study Guide
Unit 10
10.01 Area and Volume
10.02 Differential Equations
10.03 Accumulation Functions
10.04 Particle Motion
10.05 Rates of Change
10.06 Tabular Data
10.07 FR and Area and Volume
10.08 Differential Equations
AP Calculus BC
AP Calculus BC Assignments 2024-2025
Unit 10 BC
10.01 Defining Convergent and Divergent Infinite Series
10.02 Working with Geometric Series
10.03 The nth-Term Test for Divergence
10.04 The Integral Test for Convergence
10.05 Harmonic Series and p-Series
10.06 Comparison Test for Convergence
10.07 Alternating Series Test
10.08 Ratio Test
10.09 Determining Absolute or Conditional Convergence
10.10 Alternating Series Error Bound
10.11 Finding Taylor Polynomial Approximations of Functions- Day 1
10.11 Finding Taylor Polynomial Approximations of Functions- Day 2
10.13 Radius and Interval of Convergence of Power Series
10.14 Finding Taylor or Maclaurin Series for a Function
10.15 Representing Functions with Power Series
Unit 6- BC
6.01 Riemann Sums (Graphic & Numeric)
6.02 - Riemann Sums (Algebraically)
6.03 Trapezoidal Approximations
6.04 Definite Integrals
6.06 Antiderivatives
6.07 Fundamental Theorem of Calculus (I and II)
6.08 Integrals and Motion
6.09 Integration by Substitution (with bounds)
6.10 Integration by Parts
6.11 Integration using Linear Partial Fractions
6.12 Improper Integrals
Unit 09 BC
9.01 Parametric Equations
9.02 Derivatives of Parametric Equations
9.03 Arc Length of Curves given Parametric Equations
9.04 Vector Valued Functions (Definition and Derivatives)
9.05 Integration of Vector Valued Functions and Motion
9.06 Polar Coordinates and Differentiation
9.07 Area of a Region bounded by one Polar Curve
9.08 Area of a Region Bounded by 2 Polar Curves 2
9.09 Unit 9 Review
ECE Calculus I & II
ECE Calculus Assignments 2023-2024
Unit 1
1.01 The Tangent and Velocity Problem
1.02 Numerical and Graphical Limits
1.03 Limits of Functions Using Properties of Limits
1.04 Algebraic Limits
1.05 Infinite Limits and Limits at infinity
1.06 Continuity and IVT
1.07 Rates of Change and the Derivative
1.08 Derivative as a Function
1.09 Differentiability
Unit 11
11.01 Sequences and Series
11.02 Series
11.03 Integral Test for Convergence
11.04 The Comparison Test for Convergance
11.05 Alternating Series
11.06 Ratio Test and Absolute Convergance
11.08 Power Series
11.09 Representation of Functions as Power Series
11.10 Finding Taylor Polynomial Approximations of Functions
11.11 Taylor Polynomial Applications
Exam 2 Review
Unit 2
2.01 Derivative of Polynomial Functions
2.02 Chain Rule, Exponetial Rule, Logarithmic Rule
2.03 Product and Quoteint Rules
2.04 Trigonometric Derivatives
2.05 Advanced Chain Rule
2.06 Implicit Differentiation
2.07 Related Rates
2.08 Linear Approximation and Differentials
Unit 3
3.01 Maximum and Minimum Values
3.02 Intervals of Increase and Decrease and Mean Value Theorem
3.03 Connecting f, f', and f''
3.04 L'Hopital's Theorem
3.05 Optimization (Profit, Revenue, Cost)
3.06 Newton's Method
3.07 Antiderivatives
3.08 Areas and Distances
3.09 The Definite Integral
Unit 4
4.01 Fundamental Theorem of Calculus (I and II)
4.02 Integration by Substitution (with bounds)
4.03 Area Between Two Curves
4.04 Volume by Cross Sections and Revolution
4.05 Rotational Volume (Disc and Washer Method)
Unit 5
5.05A Integration by Substitution
5.05B Integration with Subtitution with Bounds
Unit 6
6.04 Work
Unit 7
7.01 Integration by Parts
7.02 Trigonometric Integrals
7.03 Trigonometric Substitution
7.04 Integration using Partial Fractions
7.07 Numerical Integration
7.08 Improper Integrals
Unit 8
8.01 Arc Length
Exam 1 Review
Unit 9
9.01 Solutions to Differnential Equations and Slope Fields
9.02 - Separable Differential Equations
Unit 11 and 9 Review
Unit 10
10.01 Parametric Equations
10.02 Derivatives of Parametric Equations
10.03 Polar Coordinates
10.04 Calculus with Polar Coordinates
Online Research Project
Resources
Past Assignments
2013-2014 AP Calculus
Videos
Pre Calculus
11.01: Numerical Limits
11.02: Graphical Limits
11.03: Algebraic Limits
11.04: Limits to Infinity and Infinite Limits
11.05 Trig Limits
11.06 Continuity
11.07 Continuity of Piecewise Functions
Summer Assignment
S01 - Diagnostic
S02 - Inverse & Composite Functions
S03 - Trig Values and Trig Ratios
S04 - Limits Review (from Pre-Calculus)
S05- Limit Properties
S06- Trig Limits and Squeeze Theorem
S07 - Review of Limits (Limits to Infinity & Trig Limits)
Previous Materials
4.03 First Derivative Test
AP Calculus Assignments 2023-2024
Assignments ECE Calculus 2022-2023
Assignments 2022-2023
Summer Assignment 22-23
Day 1 - Diagnostic
Day 2 - Inverse & Composite Functions
Day 3 - Trig Values and Trig Ratios
Day 4 - Numerical Limits
Day 5 - Graphical Limits
Day 6 - Limits of Functions Using Properties of Limits
Day 7 - Algebraic Limits
Day 8 - Limits to Infinity and Infinite Limits
Additional Lessons
1.04 B Limits to Infinity
1.06 Quiz
1.10 Curve Sketching
1.10 Secant and Tangent Lines
1.11 Tangent and Normal Lines
2.01: Average and Instantaneous Rates of Change
3.08: Advanced Chain Rule
3.08:Derivatives QUIZ
3.10 L'Hopital's Theorem
3.11 Exam Review
4.02 Integration by Substitution
4.03 Fundamental Theorem of Calculus II
4.06 AP Problems
4.07: Identifying the Original Function
4.08: Curve Sketching (D1)
5.02 - Graphical Optimization
5.06 - QUIZ!
5.07 - Related Rates (Triangles)
5.08 - Related Rates (Cones!)
5.10 - AP Applications with TI-84+
5.11 - AP Derivatives with a Calculator
6.06 Quiz
6.14 - Extra: AP Integrals
6.14 Antidifferentiation by Parts
6.15 Integration by Substitution
6.18 Review part I
6.19 Exam 6 Review BC
7.05 - Areas & Cross Sections
7.05B QUIZ: Area & Cross Sections
7.10 - AP Area & Volume Practice
Mock Review
AP Calculus AB (2020-2021)
Assignments AB 2020-2021
IA#2 Review
Midyear Assessment Review
Mock Review
Unit 01
1.01 Numerical Limits
1.02 Graphical Limits
1.03 Algebraic Limits
1.04 Squeeze Theorem and Trigonometric Limits
1.05 Infinite Limits and Limits at Infinity
1.06 Continuity
1.07 Continuity of Piecewise Functions
1.08 IVT
1.09 Average Vs. Instantaneous Rates
1.10 Secant, Tangent, and Normal Lines
1.11 - Unit 1 Exam Review
Unit 02
2.01: Definition of the Derivative
2.02: Derivatives & Tangent Lines
2.03: Power Rule of Derivatives
2.04: Applications of Derivatives
2.05 Differentiability with Graphs
2.06 Differentiability of Piecewise Functions
2.07: Unit 2 Review
Unit #2 Exam Day
Unit 2
Unit 03
3.01: Basic Derivation Rules
3.02: Chain Rule with Polynomials
3.03: Exponential Derivatives
3.04 Logarithmic Derivatives
3.05: Product Rule of Derivatives
3.06: Quotient Rule of Derivatives
3.07: Trigonometric Derivatives
3.08 Inverse Derivatives
3.09: Combining Derivative Rules
3.10 L'Hopital's Theorem
3.11 Unit 3 Review
Unit 04
4.01: Intervals of Increase & Decrease
4.02: Critical Points (Extrema)
4.03: First Derivative Test
4.04: Mean Value Theorem
4.05: Second Derivative Test
4.06 Connecting f, f', and f''
4.07: Motion Applications -1
4.08: AP Motion Applications -2
4.09 Unit 4 Review
Quiz
Unit 05
5.01 - Closed Interval Optimization
5.02 - Economic Optimization (Cost, Profit, Revenue)
5.03 - Implicit Derivation
5.04 - Implicit Derivation Applications
5.05 - Related Rates (Volume & Area)
5.06 Related Rates (Triangles and Cones)
5.07 - Derivatives using a TI-84+
5.08 - Unit 5 Review
5.09 - Unit #5 EXAM
Extra - AP Related Rates
Unit 06
6.01-Riemann Sums (Graphic & Numeric)
6.02 - Riemann Sums (Algebraically)
6.03-Trapezoidal Sums
6.04-Definite Integrals
6.05-Properties of Definite Integrals
6.06-Antiderivatives
6.07- FTC (Pt 1)
6.08-FTC (Pt 2)
6.09 Accumulation Functions
6.09B Mixed Practice- Date:2/4
6.10 - Average Value of a Function
6.11 - Integrals & Motion
6.12 Definite Integrals with Calculator
6.12B Mixed Practice Date: 2/11
6.13 - Unit 6 Review
Unit 5
Unit 07
7.01 - Area Between 2 Curves
7.02 - Area with multiple regions
7.03 - Volume by Cross Sections (I)
7.04 - Volume by Cross Section II (Triangular & Semi-Circular)
7.04B Mixed Practice
7.05 - Rotational Volumes - Disc Method
7.06 - Volumes with Washer Method
7.07 - Rotational Volumes- Around Any Line
7.08 - Applications of Volumes
7.09 - Unit 7 Review
Unit 08
8.01- Solutions of Differential Equations
8.02 - Slope Fields
8.03 - Antidifferentiation by Substitution
8.04 - Antidifferentiation by Substitution with Bounds
8.05 - Separable Differential Equations
8.05B - Quiz
8.06 - Special Differential Equations
8.07 - AP Problems
8.08 - Review
8.09 - EXAM
Unit 09 - Review
9.01 Derivatives and the Chain Rule
9.02 Applications of Derivatives
9.03 How to Find Limits and Continuity
9.04 Integration and Fundamental Theorem of Calculus
9.05 IVT, MVT, and EVT
9.06 Applications of Integrals Part 1
9.07 Applications of Integrals (Part 2)
9.08 2021 FR Questions
9.09 2021 FR Questions
9.10 2021 Free Response Questions
9.11 AP Test Strategies and Extra Review
AP Calculus BC (2020-2021)
Assignments BC 2020-2021
Assignments ECE Calculus I &II 2021-2022
IA#2 Review BC
Unit 01 BC
1.01 Numerical and Graphical Limits
1.02 Algebraic Limits
1.03 Squeeze Theorem and Trig Limits
1.04 Infinite Limits and Limits to Infinity
1.05 Continuity at a Point and of Piecewise Functions
1.06 IVT
1.07 Average vs. Instantaneous Rate of Change
1.08 Secant, Tangent, and Normal Lines
1.10 Secant, Tangent, and Normal Lines
1.09 Unit 1 Review
Unit 02 BC
2.01 Definition of a Derivative
2.02 Derivatives and Tangent Lines
2.03 Power Rule
2.04 Applications of Derivatives
2.05 Differentiability with Graphs
2.06 Differentiability of Piecewise Functions
2.07 Unit 2 Review
Unit 2 Exam
Unit 03 BC
3.01 Basic Derivation Rules
3.02 Chain Rule
3.03 Exponential and Logarithmic Derivatives
3.04 Product Rule
3.05 Quotient Rule
3.06 Trig Derivatives
3.07 Inverse Derivatives
3.08 Combining Derivative Rules
3.09 L'Hopital's Theorem
3.10 Unit 3 Review
Unit 04 BC
4.01 Intervals of Increase and Decrease
4.02 Critical Points
4.03 First Derivative Test and MVT
4.04 Second Derivative Test
4.05 Connecting f, f', and f''
4.06 Motion Applications - 1
4.07 AP Motion Application - 2
4.08 Unit 4 Review
Unit 05 BC
5.01 Closed Interval Optimization
5.02 Economic Optimization
5.03 Implicit Derivation
5.04 Special Cases of Tangency
5.05 Related Rates (Volume and Area)
5.06 Related Rates (Triangles and Cones)
5.07 Derivatives with Calculator
5.08 Unit 5 Review
Unit 06 BC
6.01 Riemann Sums (Graphic & Numeric)
6.02 - Riemann Sums (Algebraically)
6.03 Trapezoidal Approximations
6.04 The Definite Integral
6.05 Properties of Definite Integrals
6.06 Antiderivatives
6.07 FTC (Part I)
6.08 FTC (Part II)
6.09 Accumulation Functions
6.10 Average Value, Integrals and Motion
6.11 Definite Integrals with Calculator
6.12 Integration by Substitution
6.13 Integration by Substitution- Trig Functions
6.14 Integration by Parts
6.15 Integration using Partial Fractions
6.16 Unit 6 Review BC
Unit 07 BC
7.01 Area Between Two Curves
7.02 Volume by Cross Sections
7.03 Rotational Volume- Disc Method
7.04 Rotational Volume- Washer Method
7.05 Rotational Volumes Around Any Axis
Unit 08 BC
8.01 Solutions of Differential Equations
8.02 Slope Fields
8.03 - Antidifferentiation by Substitution with Bound
8.04 - Separable Differential Equations
8.05 Exponential Models with Diferential Equations
Unit 09 BC
9.01 Defining and Graphing Parametric Equations
9.02 First and Second Derivative of Parametric Equations
9.03 Arc Length of Curves given Parametric Equations
9.04 Vector Valued Functions (Definition and Derivatives)
9.05 Integration of Vector Valued Functions and Motion
9.06 Polar Coordinates and Differentiation
9.07 Area of a Region bounded by one Polar Curve
9.08 Area of a Region Bounded by 2 Polar Curves 2
9.09 Unit 9 Review
Unit 10 BC
10.01 Defining Convergent and Divergent Infinite Series
10.02 Working with Geometric Series
10.03 The nth-Term Test for Divergence
10.04 The Integral Test for Convergence
10.05 Harmonic Series and p-Series
10.06 Comparison Test for Convergence
10.07 Alternating Series Test
10.08 Ratio Test
10.09 Determining Absolute or Conditional Convergence
10.10 Alternating Series Error Bound
10.11 Finding Taylor Polynomial Approximations of Functions- Day 1
10.11 Finding Taylor Polynomial Approximations of Functions- Day 2
10.12 Lagrange Error Bound
10.13 Radius and Interval of Convergence of Power Series
10.14 Finding Taylor or Maclaurin Series for a Function
10.15 Representing Functions with Power Series
10.16 Review - Day 2
10.16 Review- Day 1
10.17
Unit 11 Review
11.01 FR Questions: Taylor Polynomials, Series, and Euler's Method
11.02 FR Questions: Euler's Method, Area and Volume
11.03 2021 FR Questions
11.04 AP Test and Extra Review
AP Review
Assignments 2015-2016
Assignments 2016-2017
Assignments 2017-2018
Assignments 2018-2019
Assignments 2021-2022
Assignments AB 2019-2020
Assignments BC 2019-2020
College Math Placement
Table of Contents
IA Review Materials
S08 Algebraic and Numerical Limits Review
S09 Flashcards and Limits to Infinity Review
S10 Trig Limits and Graphical Limits
S11 Limits Quiz
S12 Continuity
S13 Continuity of Piecewise Functions
S14 - IVT
SCR
1.01 Numerical Limits
1.02 Graphical Limits
1.03 Algebraic Limits
1.04 A Infinite Limits
1.04 B Limits to Infinity
1.07 Continuity
2.01 Average and Instantaneous Rates of Change
2.02 Introduction to Derivatives
2.03 Derivatives and Tangents
2.04 Power Rule of Derivatives
2.05 Differentiability
3.01: Basic Derivation Rules
3.02: Chain Rule with Polynomials
3.03: Exponential Derivatives
3.04 Logarithmic Derivatives
3.05: Product Rule of Derivatives
3.06: Quotient Rule of Derivatives
Unit 06 (B)
6.01(B) - Function Characteristics FR
6.02(B) - Motion FR
6.03(B) - Related Rates FR
8.04 Rates of change
8.05- Accumulation Function
8.06 - Exam Review
Unit 09
9.01 Function Characteristics
9.02 Motion
9.03 Tabular Data
9.04 Rates of Change
9.05 Accumulation Functions
9.06 Review
9.07 Motion Review
AP Calculus / ECE Calculus
5.09 - Unit #5 EXAM
Good luck!
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