calculus homework worksheet

Math 1a Spring 2020

1a introduction to calculus.

Handouts and Homework

Math 1a, Home | Oliver Knill, [email protected] ,SciCenter 432, (617) 495-5549 | Department of Mathematics | FAS | Canvas | Harvard University

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Exercises: Calculus (OpenStax)

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These are homework exercises to accompany OpenStax's "Calculus" Textmap.

• 1.E: Functions and Graphs (Exercises) These are homework exercises to accompany Chapter 1 of OpenStax's "Calculus" Textmap.
• 2.E: Limits (Exercises) These are homework exercises to accompany Chapter 2 of OpenStax's "Calculus" Textmap.
• 3.E: Derivatives (Exercises) These are homework exercises to accompany Chapter 3 of OpenStax's "Calculus" Textmap.
• 4.E: Applications of Derivatives (Exercises) These are homework exercises to accompany Chapter 4 of OpenStax's "Calculus" Textmap.
• 5.E: Integration (Exercises) These are homework exercises to accompany Chapter 5 of OpenStax's "Calculus" Textmap.
• 6.E: Applications of Integration (Exercises) These are homework exercises to accompany Chapter 6 of OpenStax's "Calculus" Textmap.
• 7.E: Techniques of Integration (Exercises) These are homework exercises to accompany Chapter 7 of OpenStax's "Calculus" Textmap.
• 8.E: Differential Equations (Exercises) These are homework exercises to accompany Chapter 8 of OpenStax's "Calculus" Textmap.
• 9.E: Sequences and Series (Exercises) These are homework exercises to accompany Chapter 9 of OpenStax's "Calculus" Textmap.
• 10.E: Power Series (Exercises) These are homework exercises to accompany Chapter 10 of OpenStax's "Calculus" Textmap.
• 11.E: Parametric Equations and Polar Coordinates (Exercises) These are homework exercises to accompany Chapter 11 of OpenStax's "Calculus" Textmap.
• 12.E: Vectors in Space (Exercises) These are homework exercises to accompany Chapter 12 of OpenStax's "Calculus" Textmap.
• 13.E: Vector-Valued Functions (Exercises) These are homework exercises to accompany Chapter 13 of OpenStax's "Calculus" Textmap.
• 14.E: Differentiation of Functions of Several Variables (Exercise) These are homework exercises to accompany Chapter 14 of OpenStax's "Calculus" Textmap.
• 15.E: Multiple Integration (Exercises) These are homework exercises to accompany Chapter 15 of OpenStax's "Calculus" Textmap.
• 16.E: Vector Calculus (Exercises) These are homework exercises to accompany Chapter 16 of OpenStax's "Calculus" Textmap.
• 17.E: Second-Order Differential Equations (Exercises) These are homework exercises to accompany Chapter 17 of OpenStax's "Calculus" Textmap.

Thumbnail: The logarithmic spiral of the Nautilus shell is a classical image used to depict the growth and change related to calculus. (GNU Free Documentation License, Version 1.3 and CC- SA-BY 3.0; Wikipedia).

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Unit 1: Limits and continuity

Unit 2: derivatives: definition and basic rules, unit 3: derivatives: chain rule and other advanced topics, unit 4: applications of derivatives, unit 5: analyzing functions, unit 6: integrals, unit 7: differential equations, unit 8: applications of integrals.

Infinite Calculus

Test and worksheet generator for calculus.

Infinite Calculus covers all of the fundamentals of Calculus: limits, continuity, differentiation, and integration as well as applications such as related rates and finding volume using the cylindrical shell method. Designed for all levels of learners, from beginning to advanced.

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• Fixed: Applications of Integration: Area Between Curves - Possible to create one question with wrong answer

Included in version 2.18 released 7/31/2017:

• Fixed: Open circles on graphs were filled in when displayed as answer in red
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Included in version 2.11 released 5/13/2016:

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Included in version 2.06 released 8/3/2015:

• Fixed: Crash when saving if previously used folder no longer exists

Included in version 2.05 released 7/20/2015:

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Included in version 2.04.40 released 3/31/2015:

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Included in version 2.04.20 released 3/23/2015:

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Included in version 2.04 released 3/17/2015:

• New Topic: Area Under a Curve Using Limits
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Included in version 2.01 released 7/28/2014:

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Included in version 1.56.02 released 2/26/2014:

• Improved: Absolute Extrema: Better intervals for problems with trig functions
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Included in version 1.56 released 8/14/2013:

• New Topic: Rules of Differentiation, using Tables
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• New Topic: Separable Differential Equations
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• New Topic: Integration by Parts
• New Option: Derivatives of Inverse Functions - Include functions whose inverse can't be found
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• Fixed: Limits at Essential Discontinuities - Answer provided could be 1/0 instead of "Does not exist"
• Fixed: Absolute Extrema - Answer provided could be outside of interval
• Fixed: Integration - Power Rule with Substitution - Occasionally problems were not solvable
• Fixed: Related Rates - Ladder word problems could provide the wrong answer

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Try Infinite Calculus Today!

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Math 122B - First Semester Calculus and 125 - Calculus I Worksheets

The following is a list of worksheets and other materials related to Math 122B and 125 at the UA. Your instructor might use some of these in class. You may also use any of these materials for practice. The chapter headings refer to Calculus , Sixth Edition by Hughes-Hallett et al. Published by Wiley.

INTRODUCTION

• Tools for Success -A list of resources including tutoring services. website
• Student Survey - A survey to provide background information to an instructor.  pdf   doc
• Calculator Checklist - A list of calculator skills that are required for Calculus.  pdf   doc
• Pixels and the calculator screen - An exercise to illustrate the sensitivity of the window settings.  pdf   doc
• Homework Sample - A few examples to illustrate how homework should be written.  pdf   doc

CHAPTER 1 - A Library of Functions

• Interesting Graphs - A few equations to graph that have interesting (and hidden) features.  pdf   doc
• Functions - Properties of functions and the Rule of Four (equations, tables, graphs, and words).  pdf   doc
• Reading a Position Graph - Answer questions about motion using a position graph.  pdf   doc
• Reading Graphs - Four graphs and questions using function notation.  pdf   doc
• Find a Function - Find an example of a function in the media.  pdf   doc
• INDY 500 - Sketch graphs based on traveling one lap along an oval racetrack.  pdf   doc
• Farenheit - The relationship between Farenheit and Celsius.  pdf   doc
• Linear Functions - Applications.  pdf   doc
• Exponential Functions - Recognizing exponential functions and their properties.  pdf   doc
• Inverse Functions - Relationships between a function and its inverse.  pdf   doc
• New Functions From Old - Transformations, compositions, and inverses of functions.  pdf   doc
• Transformations - A matching exercise using symbolic expressions and tables.  pdf   doc
• More Transformations - Graphing transformation.   pdf   doc
• Logarithms - Using logarithms to solve problems. Properties of logas.  pdf   doc
• Trig Reference Sheet - List of basic identities and rules.   pdf   doc
• Trig (part I) -Interpreting trig functions and practice with inverses.  pdf   doc
• Trig (part II) - More practice.  pdf   doc
• Denise & Chad - An illustration of the effects of changes in amplitude and period.  pdf   doc
• Polynomials & Rational Functions - Recognizing polynomials and rational functions and their properties.  pdf   doc
• Power Functions - Use graphs to explore power functions.  pdf   doc
• Limits and Continuity - Graphical and numerical exercises.  pdf   doc
• More Continuity - Basics about continuity.  pdf   doc

CHAPTER 2 - The Derivative

• Introduction to Rates - Introduction to rates of change using position and velocity.   pdf   doc
• Representations - Symbolic recognition and illustration of rates. Practical interpretation of rates of change using the rule of four.   pdf   doc
• Practical Example - Reading information about rates from a graph.  pdf   doc
• Estimation - Estimation using tables and equations. Practice with notation and terminology.  pdf   doc
• Derivative Graphs - Graphing a derivative function given a graph.  pdf   doc
• More Derivative Graphs - Matching exercise.  pdf   doc
• Terminology - Fill in the blank exercise. Practice with terminology  pdf   doc
• Differentiability - Determine when a function is not differentiable at a point.  pdf   doc
• More Differentiability - More practice.   pdf   doc
• Practice - Additional practice covering this section.  pdf   doc

CHAPTER 3 - Rules For Differentiation

• Product & Quotient Rules - Practice using these rules.   pdf   doc
• Chain Rule - Practice using this rule.   pdf   doc
• Base e - Derivation of e using derivatives.  pdf   doc
• Rules - Practice with tables and derivative rules in symbolic form.  pdf   doc
• More Practice - More practice using all the derivative rules.  pdf   doc
• Derivative (&Integral) Rules - A table of derivative and integral rules.   pdf   doc

CHAPTER 4 - Using the Derivative

• Reading Graphs - Reading information from first and second derivative graphs.  pdf   doc
• Critical Points Part I - Terminology and characteristics of critical points.  pdf   doc
• Critical Points Part II - Finding critical points and graphing.  pdf   doc
• Families of Functions - Finding critical points for families of functions.  pdf   doc
• More Families of Functions - Finding values of parameters in families of functions.  pdf   doc
• Optimization Part I - Optimization problems emphasizing geometry.  pdf   doc
• Optimization Part II - More optimization problems.  pdf   doc
• Parametric Equations (Circles) - Sketching variations of the standard parametric equations for the unit circle.  pdf   doc
• Parametric Equations (Misc) - Fun graphs using parametric equations.   pdf   doc
• Parametric Equations - Finding direction of motion and tangent lines using parametric equations.  pdf   doc
• Holiday Parametric Equations - Halloween surprise.   pdf   doc
• L'Hopital's Rule - Practice in recognizing when to use L'Hopital's Rule.  pdf   doc
• Limit Practice -Additional practice with limits including L'Hopital's Rule.   pdf   doc
• Introduction to Related Rates - Finding various derivatives using volume of a sphere and surface area of a cylinder.  pdf   doc
• Related Rates - Additional practice.  pdf   doc
• More Related Rates -Additional practice.   pdf   doc

CHAPTER 5 - The Definite Integral

• Intro to Velocity and Area - Relationship between velocity, position, and area.  pdf   doc
• Representations - Practice with notation, estimation, and interpretations.  pdf   doc
• Rocket - Application of velocity and position for a model rocket.  pdf   doc
• Mice - Application of velocity and position for two mice.  pdf   doc
• Cars - Application of velocity, position, and acceleration of two cars.  pdf   doc
• Fundamental Theorem Part I - Graphical approach.  pdf   doc
• Fundamental Theorem Part II - Illustrations and notation.  pdf   doc

CHAPTER 6 - Constructing Antiderivatives

• Position, Velocity, & Acceleration - Graphical relationships between position, velocity, and acceleration.  pdf   doc
• Sketching Antiderivatives - Graphing antiderivatives.   pdf   doc
• Area Between Graphs - Using the Fundamental Theorem to find area between graphs.  pdf   doc
• Practice - Problems from chapters 5 and 6.  pdf   doc
• Integration - Recognizing when to use substitution. Integrands look similar.  pdf   doc
• Substitution - Practice, including definite integrals.  pdf   doc
• More Substitution - More practice.  pdf   doc

Free Calculus Worksheets

100% Free Calculus Worksheets , Printables, and Activities.

Our downloadable and printable Calculus Worksheets cover a variety of calculus topics including limits, derivatives, integrals, and more. All of our worksheets are free for use by teachers, students, homeschool parents teaching calculus, or anyone using them in an educational setting.

Calculus Teachers

Your time is valuable. Our worksheets are great for both classroom assignments and homework. 

It's hard to master calculus without practice. Our worksheets are perfect for students looking for a little extra practice before the big exam.  All of our calculus printables contain an answer key so you can immediately check your work. 

Homeschool Parents

Our free calculus worksheets are a great supplement to any home school curriculum. 

Below you can find our collection of worksheets for calculus.

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Precalculus MAT 206–0801

Spring 2020 BMCC Prof. Dr. Ivan Retamoso

Relations and Functions

Evaluations of Functions

The Horizontal Line Test

Finding the Domain of a Function

Finding the Domain and Range of a Function from its Graph

Piecewise Functions

Average Rate of Change of a Function

Increasing and Decreasing Functions

Relative Maxima or Minima

Arithmetic Operations with Functions

Compositions of Functions

Transformation of Functions

Absolute Value Functions

Inverse Functions

Linear Functions

Graph of Linear Functions

Modeling with Linear Functions

Operations with Complex Numbers

Vertex and Axis of Symmetry of a Parabola

Minimum or Maximum of a Parabola

Polynomial Functions of Higher Degree

Polynomial and Synthetic Division

The Reminder and Factor Theorem

The Rational Zero Theorem

Zeros of a Polynomial Function

Rational Functions

Graphing Rational Functions

Slant Asymptote

Exponential Functions

Logarithmic Functions

Properties of Logarithms

Exponential and Logarithmic Equations

Radian and Degree Measure

Right Triangle Trigonometry

Trigonometric Functions of any Angle

The Unit Circle

Graph of Trigonometric Functions

Inverse Trigonometric Functions

Sum and Difference Identities

Double-Angle and Half-Angle Formulas

Product to Sum and Sum to Product Formulas

Solving Trigonometric Equations

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• Negative numbers: addition and subtraction
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• Fractions, decimals, & percentages
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• Expressions, equations, & inequalities
• Numbers and operations
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• Transformations, congruence, and similarity
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• Ratios, rates, proportions
• Equations, expressions, and inequalities
• Exponents, radicals, and scientific notation
• Foundations
• Algebraic expressions
• Linear equations and inequalities
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• Expressions with exponents
• Quadratics and polynomials
• Equations and geometry
• Algebra foundations
• Solving equations & inequalities
• Working with units
• Linear equations & graphs
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• Exponents & radicals
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• Quadratics: Multiplying & factoring
• Quadratic functions & equations
• Irrational numbers
• Performing transformations
• Transformation properties and proofs
• Right triangles & trigonometry
• Non-right triangles & trigonometry (Advanced)
• Analytic geometry
• Conic sections
• Solid geometry
• Polynomial arithmetic
• Complex numbers
• Polynomial factorization
• Polynomial division
• Polynomial graphs
• Rational exponents and radicals
• Exponential models
• Transformations of functions
• Rational functions
• Trigonometric functions
• Non-right triangles & trigonometry
• Trigonometric equations and identities
• Analyzing categorical data
• Displaying and comparing quantitative data
• Summarizing quantitative data
• Modeling data distributions
• Exploring bivariate numerical data
• Study design
• Probability
• Counting, permutations, and combinations
• Random variables
• Sampling distributions
• Confidence intervals
• Significance tests (hypothesis testing)
• Two-sample inference for the difference between groups
• Inference for categorical data (chi-square tests)
• Advanced regression (inference and transforming)
• Analysis of variance (ANOVA)
• Scatterplots
• Data distributions
• Two-way tables
• Binomial probability
• Normal distributions
• Displaying and describing quantitative data
• Inference comparing two groups or populations
• Chi-square tests for categorical data
• More on regression
• Prepare for the 2020 AP®︎ Statistics Exam
• AP®︎ Statistics Standards mappings
• Polynomials
• Composite functions
• Probability and combinatorics
• Limits and continuity
• Derivatives: definition and basic rules
• Derivatives: chain rule and other advanced topics
• Applications of derivatives
• Analyzing functions
• Parametric equations, polar coordinates, and vector-valued functions
• Applications of integrals
• Differentiation: definition and basic derivative rules
• Differentiation: composite, implicit, and inverse functions
• Contextual applications of differentiation
• Applying derivatives to analyze functions
• Integration and accumulation of change
• Applications of integration
• AP Calculus AB solved free response questions from past exams
• AP®︎ Calculus AB Standards mappings
• Infinite sequences and series
• AP Calculus BC solved exams
• AP®︎ Calculus BC Standards mappings
• Integrals review
• Integration techniques
• Thinking about multivariable functions
• Derivatives of multivariable functions
• Applications of multivariable derivatives
• Integrating multivariable functions
• Green’s, Stokes’, and the divergence theorems
• First order differential equations
• Second order linear equations
• Laplace transform
• Vectors and spaces
• Matrix transformations
• Alternate coordinate systems (bases)

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Precalculus

Mrs. Snow's Math

McNeil High School

Notes are intended to compliment the current text in use at McNeil High School Precalculus, Enhanced with Graphing Utilities, Texas Edition By Michael Sullivan and Michael Sullivan, III

FALL SEMESTER

Fundamentals

MATHXL FOR SCHOOL – where to find it on line and where are all the assignments!

Algebra II Review Annotated Notes

Chapter 2:  Functions and Their Graphs All assignments are due at the start of the next class period.  The first assignments of this school year will be completed on paper: 

Current assignments are currently not available on Mathxl, the precalculus online homework program.  For full credit, use separate paper:   please write your full name, class period, and identify the assignment with chapter.section number.  Write out each problem, show all work and circle the answer.

Lesson 2.1 and Lesson 2.2 Functions and 2.2 The Graph of a Function Mathxl Homework 2.1 and 2.2 Solutions 2.1 2.2 Mathxl -Textbook Homework 2.3 and 2.4 Solutions Textbook 2.3 and 2.4 Mathxl – Textbook Homework 2.5 Solutions 2.5 Annotated Notes Video Lesson 2.1 and 2.2 Lesson 2.3 and Lesson 2.4 Properties of Functions,   2.4  Piecewise and Greatest Integer Functions Annotated Notes 2.3 and 2.4 Video Lesson 2.3 and 2.4 Lesson 2.5   Graphing Techniques:  Transformations Annotated Notes 2.5 Video Lesson 2.5 In-class Transformation Practice Annotated Transformation Practice mrssnowsmath.com/…/chapter2review.2023r.pdf 2.5 Homework Worksheet Chapter 2 Review Review Solutions  

Chapter 4:  Polynomial and Rational Functions

Lesson 4.1  Polynomial Functions and Model Annotated Notes Video Lesson 4.1 Lesson 4.2 The Real Zeros of a Polynomial Function Lesson 4.3 Complex Zeros; Fundamental Theorem of Algebra Annotated Notes 4.2 and 4.3 Video Lesson 4.2 and 4.3 Lesson 4.4 and Lesson 4.5  4.4 Properties of Rational Functions and.4.5 The Graphs of a Rational Function Annotated Notes 4.4 and 4.5 Video Lesson 4.4 and 4.5 Lesson 4.6 Polynomial and Rational Inequalities Annotated Notes 4.6 Video Lesson 4.6 Chapter 4 Spiral Ch 2 Review    Updated 9/2023 Spiral Review Solutions    

Chapter 6 Trigonometric Functions

Quizlet Links: Sine, Cosine, and Tangent Radian Values Practice with radians from the unit circle; flashcards and more Unit Circle practice page   2 unit circles for drill practice

Lesson 6.1 and 6.2 Part 1 Angles and Their Measure, The Unit Circle Annotated Notes 6.1 And 6.2 Part 1 Video Lesson 6.1 and 6.2 part 1 Lesson 6.1 and 6.2 Part 2 Trigonometric Functions: Unit Circle Approach Annotated Notes 6.1 and 6-2 Part2 Video Lesson 6.1 and 6.2 part 2 2 Unit Circles   Practice Form Lesson 6.3 Properties of the Trigonometric Functions Annotated Notes Video Lesson 6.3 Review 6.1-6.3 Chapter 6.1-6.3 Review Solutions   

Unit Circle Chart – In Order Lesson 6.4 Graphs of the Sine and Cosine Functions Annotated Notes 6.4 Video Lesson 6.4 Worksheet6.4 Lesson 6.5   Graphs of Secant and Cosecant Functions Annotated Notes 6.5 Part 1 Lesson 6.5 Graphs of Tangent and Cotangent Functions Annotated Notes 6.5 Part 2 Worksheet 6.5    Worksheet for: secant, Cosecant, Tangent and Cotangent Functions Video Lesson 6.5    this covers both part 1 and part 2:  Secant, Cosecant, Tangent and Cotangent Functions Lesson 6.6 Phase Shift Annotated Notes 6.6 Video Lesson 6.6 Worksheet 6.6 Lesson 8.5   Simple Harmonic Motion Annotated Notes 8.5 Video Lesson 8.5   “The Ferris Wheel Problem”   Video showing Simple Harmonic Motion Spiral Review 6.1-6.6, 8.5   Spiral Review Solutions

Lesson 5.1 and Lesson 5.2 Composite Functions and One-to-One Functions, Inverse Functions Annotated Notes 5.1 and 5.2 Video Lesson 5.1 and 5.2

Lesson 7.1 and 7.2   The Inverse Sine, Cosine, and Tangent Functions and The Inverse Trigonometric Function, Continued 7.1 and 7.2 Annotated Notes Video Lesson 7.1 Extra Examples Lesson 7.3 Trigonometric Equations Annotated Notes 7.3 Video Lesson 7.3 Review 5.1-5.2  and 7.1-7.3 Review 7.1-7.3 Solutions (revised 11/2/2019)

Unit Circle Sine, Cosine and Tangent values – Quizlet     link to a quizlet that has flash cards for our unit circle values.  The “Learn” link will quiz you with the flash cards out of order.

Trigonometric Identities Reference Sheet The first page will need to be memorized! Lesson 7.4 Trigonometric Identities Annotated Notes 7.4 Video Lesson 7.4 Worksheet Proofs Trig Identities   fall 2022 we are only doing the odd problems.  The even are available for additional practice Lesson 7.5 Sum and Difference Formulas Annotated Notes 7.5 Video Lesson 7.5 Lesson 7.6 Double-angle and Half-angle Formulas Annotated Notes 7.6 Video Lesson 7.6 Review Spiral 5.1-2, 7.1-3 7.4-7.5 Review Answers    Corrected!

 Chapter 10

Lesson 10.1 and 10.2 Conics and the Parabola Annotated Notes 10.1 and 10.2 Video Lesson 10.1 and 10.2

Lesson 10.3 The Ellipse Annota te d Notes 10.3 Lesson 10.4 The Hyperbola Annotated Notes 10.4 Lesson 10.7 Plane Curves and Parametric Equations Annotated Notes 10.7

Fall Final Exam Review Fall Final Exam solutions

GUIDELINE FOR NOTECARD

This link will take you to an excel spreadsheet that will allow you to take your averages for either fall or spring semester and see what you need for the grading period or final to pass class.  This is designed for the grading cycles at McNeil High School. “WHAT IF…”GRADE CHECK  for Fall and Spring Semesters

SPRING SEMESTER 

Chapter 8 Lesson 8.1 Right Triangle Trigonometry; Applications Annotated Notes 8.1 Video 8.1 Trigonometry Applications Worksheet Lesson 8.2 The Law of Sines Lesson 8.2 The Ambiguous Case Example Annotated Notes 8.2 Video 8.2 Lesson 8.3 The Law of Cosines Lesson 8.4 Area of a Triangle Annotated Notes 8.3 and 8.4 Video 8.3 and 8.4 Review Chapter 8 Review Chapter  Solutions  

Lesson 8.5 Simple Harmonic Motion (presented in the fall with Chapter 6) Annotated Notes 8.5 are located with Chapter 6

Chapter 9 Lesson 9.1 Polar Coordinates Annotated Notes 9.1 Video Lesson 9.1 Lesson 9.2 Polar Equations and Graphs Annotated Notes .9.2 Video Lesson 9.2 Limacon Examples Polar Graph Paper Lesson 9.4 Vectors Video Lesson 9.4 Annotated Notes 9.4 9.4 Static Equilibrium Problem #19 example Lesson 9.5 The Dot Product Annotated Notes 9.5 Video Lesson 9.5 Spiral Ch 8 and 9 Re view Spiral Review Solutions

Chapter 5 and 11.5 Lesson5.3 Exponential Functions Annotated Notes 5.3  and corrected Video Lesson 5.3 Lesson 5.4 Logarithmic Functions  and Lesson 5.5 Properties of Logarithms Annotated Notes 5.4 and 5.5 V ideo Lesson 5.4 Video Lesson 5.5

Lesson 5.6 Logarithmic and Exponential Equations Annotated Notes 5.6 Video Lesson 5.6 Lesson 5.7 and Lesson 5.8 Financial Models   and  Exponential Growth and Decay Models Annotated Notes 5.7 and 5.8 Video Lesson 5.7  Video Lesson 5.8 Chapter 5 Review  Review Solutions Chapter 5

Extra Lessons 11.5 and Rational Expressions Addition and Subtraction of Rational Expressions Annotated Notes Video Lesson Addition and Subtraction of Rational Expressions Multiplication and Division of Rational Expressions  Annotated Notes Video Lesson Multiplication and Division of Rational Expressions

Lesson 11.5 Partial Fraction Decomposition Annotated Notes 11.5 Video Lesson 11.5 https://www.youtube.com/watch?v=8lSCAY15BdQ

Chapter  12 Lesson 12.1 Sequences Annotated Notes 12.1 Video Lesson Lesson 12.2 Arithmetic Sequences Annotated Notes 12.2 Video Lesson Lesson 12.3   Geometric Sequences Lesson 12.3 Lecture Notes modified for voice over lecture Annotated Notes 12.3 Video Lesson Lesson 12.4 Mathematical Induction Lesson 12.4 Lecture Notes modified for voice over lecture Annotated Notes 12.4 Video Lesson 12.4 Homework Worksheet Lesson 12.5  The Binomial Theorem Lesson 12.5 Lecture Notes modified for voice over lecture Annotated Notes 12.5 Video Lesson Review Chapter 12    

Solutions Review Ch 12 and 11.5   if you want credit for the review, make sure you show your work,  copying these answers will result in a 0%

Chapter 14 –  A Preview of Calculus  

Lesson 14.1 Finding Limits Using Tables and Graphs Annotated Notes 14.1 *    Video Lecture 14.1 14.1 Worksheet

Lesson 14.2 Algebra Techniques for Finding Limits *    Video Lecture 14.2 Annotated Notes 14.2 14.2 Worksheet

Lesson 14.3  The Tangent Problem:  The Derivative Annotated Notes 14.3 *     Video Lecture 14.3 14.3 Worksheet Helpful videos for visualizing secant lines morphing into a tangent line: The Tangent Line and the Derivative   an 11 minute video, all is very good, the definition by derivative starts at 4 minutes. Applet:  Ordinary Derivative by Limit Definition   as an interactive applet to let the student see as the distance between points goes to zero,  the secant line becomes the tangent line.

Lesson 14.4  Limits at Infinity Annotated Notes 14.4 14.4 Worksheet *    Video Lecture 14.4

Lesson 14.5 The Area Problem:  The Integral Annotated Notes 14.5 14.5 Worksheet *    Video Lecture 14.5

Solutions to Chapter 14 practice problems

14.3, problem #7: correct answer is f'(x)=-5

Spiral Review Chapter 14 and Chapter 12 -remember, no work no credit!! Review Ch 12 and 14 Solutions

Note Card For Precalculus Final All students, whether exempting the final exam or not,  are required to complete the Final Exam Review.  Work must be shown for credit.   Spring Final Exam Review Spring Final Review Solutions

Other Notes

Intro to Calculus Lesson on Derivatives and Integration Annotated Notes Derivatives Worksheet #1 – Product and Quotient Rules Worksheet #2 – Chain Rule Chain Rule Notes Worksheet #3 – Integrals Integral Notes

This link will take you to an excel spreadsheet that will allow you to take your averages for either fall or spring semester and see what you need for the grading period or final to pass class.  This is designed for the grading cycles at McNeil High School. “WHAT IF…”GRADE CHECK for 2020-2021 School Year

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